Answer:
any number goes down 3 places
Step-by-step explanation:
EX:10 to the power of -3 = 0.001
The width of a rectangle measures (k+3)(k+3) centimeters, and its length measures (k-9)(k−9) centimeters. Which expression represents the perimeter, in centimeters, of the rectangle?
Answer:
(k+3)(k+3) + (k-9)(k-9), or p = (k+3)^2 + (k-9)^2, or p = 4k^2 - 24k + 180
Step-by-step explanation:
A rectangle has four sides, two sides both have equal width, while the other two have equal length. The perimiter is the total sum of these sides. We can use the following equation to represent the perimiter using the width and length:
p = 2w + 2l
We know that the width equals (k+3)(k+3), so 2w would equal 2(k+3)(k+3). In the form of a quadratic equation, this would equal 2k^2+12k+18.
We also know that the length equals (k-9)(k-9), so 2l would equal 2(k-9)(k-9). As a quadratic equation, this would equal 2k^2-36k+162.
Plugging these values into our equation we get:
p = (k+3)(k+3) + (k-9)(k-9), or p = (k+3)^2 + (k-9)^2.
Or in the form of a quadratic equation:
p = 2k^2 + 12k + 18 + 2k^2 - 36k + 162
=
p = 4k^2 - 24k + 180
Hope this helps!
The perimeter of the rectangle can be calculated using the formula 2(length + width). Substituting the given expressions for length and width, we get 2[(k+3)(k+3)+(k-9)(k−9)]. This simplifies to the expression 4k^2-24k+180.
Explanation:The perimeter of a rectangle is calculated by adding the lengths of all its sides. With the width given as (k+3)(k+3) centimeters, and the length as (k-9)(k−9) centimeters, we can substitute these into the formula for the perimeter of a rectangle, which is 2(length + width).
Therefore, the expression representing the perimeter of the rectangle is 2[(k+3)(k+3)+(k-9)(k−9)]. This simplifies to 2[(k^2+6k+9)+(k^2-18k+81)], which further simplifies to 2[2k^2-12k+90], and ultimately simplifies to 4k^2-24k+180.
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slove system equations
x+y=8
x-y=4
x=? y=?
Answer:
Step-by-step explanation:
To solve this system of equations, you can use the substitution method.
In this method, you solve one of the equations for one of the variables in terms of the other variable. Then you substitute this expression into the other equation. This will give you a single equation in one variable, which you can solve to find the value of that variable. Finally, you can substitute this value back into one of the original equations to find the value of the other variable.
To solve this system using substitution, we can solve the second equation for y:
y = x - 4
Then, we substitute this expression for y in the first equation:
x + (x - 4) = 8
Combining like terms, we get:
2x - 4 = 8
Adding 4 to both sides, we get:
2x = 12
Dividing both sides by 2, we find that:
x = 6
Now we can substitute this value back into one of the original equations to find the value of y. Let's substitute it into the second equation:
x - y = 4
Substituting 6 for x, we get:
6 - y = 4
Subtracting 6 from both sides, we find that:
y = 2
So the solution to the system of equations is x = 6 and y = 2.
Answer:
x=6, y = 2
Step-by-step explanation:
If you add 2 expressions, 2x = 12, so x = 6.
So the other one y = 2.
An astronaut was exploring the moon of a distant planet, and found some glowing goo at the bottom of a very deep crater. She brought a 10-gram sample of the goo to her laboratory. She found that when the goo was exposed to light, the total amount of goo increased by 100% every hour.
How much goo will she have after 1 hour? After 2 hours? After 3 hours? After n hours?
When she put the goo in the dark, it shrank by 75% every hour. How many hours will it take for the goo that was exposed to light for n hours to return to the original size?
The amounts of goo after each hour are given as follows:
1 hour: 20 grams.2 hours: 40 grams.3 hours: 80 grams.n hours: 10(2)^n.The time that it takes for the goo to return to original size is given as follows:
n hours, for which:
[tex](2)^n(0.25)^n = 1[/tex]
How to model the situation?An increasing exponential function is defined as follows:
y = a(1 + r)^x.
For which the parameters are given as follows:
a is the initial value.r is the growth rate, as a decimal.Her sample is of 10 grams, and the amopunt of goo increases by 100%, hence the parameter values' are given as follows:
a = 10, r = 1.
Thus the exponential function is defined as follows:
y = 10(2)^n.
Then the amounts are given as follows:
One hour: y = 10 x 2 = 20 grams.Two hours: y = 10 x 2² = 40 grams.Three hours: y = 10 x 2³ = 80 grams.A decreasing exponential function is given as follows:
y = a(1 - r)^x.
The goo shrinks by 75% every hour, hence:
r = 0.75.
The amount after n hours is of 10(2)^n, hence the shrinking function is given as follows:
[tex]y = 10(2)^n(0.25)^n[/tex]
It returns to the original amount when:
y = 10.
Hence:
[tex]10 = 10(2)^n(0.25)^n[/tex]
[tex](2)^n(0.25)^n = 1[/tex]
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6) Create your own word
problem using the
format in the example
on the page above.
Format in the example are Surds on the page above in own word is [tex]36z^{15} ,\ 100,\ 9^7,\ and \ 6r^3\\[/tex]
How do indices and Surds differ from one another?Surds are the root values for which there is no whole number representation. Indices represent the exponent or power of a value. For instance, the base is 3 and the index is 2 for the number 32. the index being 3/2.
What are the Surds rules?These are the surds rules:
Rule 1: = √(r*s) = √r*√s.Rule 2: √(r/s) = √r/√s.Rule 3: r/√s = (r/√s) X (√s/√s)Rule 4: p√r ± q√r.Rule 5: r / (p+q√n)Rule 6: r / (p-q√n)1) [tex](2z^3)^5=32^{15}[/tex]
2) [tex]\sqrt[3]{1000*1000}=100[/tex]
3) [tex]\frac{9^{3} }{9^{-4} } = 9^7[/tex]
4) [tex](6r^{-3}) ^{-1} = 6r^3[/tex]
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Find the surface area and volume for this following pyramid
Answer:
the aswer is A i did this
Step-by-step explanation
graph f and h , write h in terms of f, describe the transformation from the graph of f to the graph of h .
the equation :
f(x) = x; h(x) = x + 1
Equations go into one of two categories: identities or conditional equations. An identity holds true for each value of the variables. A conditional equation is valid only for certain values of the variables.
What is equation?An equation is a mathematical formula that connects two assertions using the equal sign (=) to denote equivalence. In algebra, an equation is a mathematical statement that establishes the equivalence of two mathematical expressions. For instance, an equal sign separates the components 3x + 5 and 14 in the equation 3x + 5 = 14. A mathematical formula is used to explain the connection between two sentences on either side of a letter. Frequently, there is just one variable, which is also the symbol. for example, 2x - 4 = 2.
Finding the variables' values that cause the equality to be true is the first step in solving an equation with variables. The variables for which the equation must be solved are also known as the unknowns, and the unknowns' values that fulfill the equality are known as the equation's solutions. Equations can be categorized as either identities or conditional equations. For each value of the variables, an identity holds true. Only specific values of the variables make a conditional equation true.
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A fitness center is interested in the average amount of time a client exercises in the center each week.
Match the vocabulary word with its corresponding example.
The average amount of exercise time for the 45 clients from the fitness center who
participated in the study
The average amount of time that all clients from the fitness center exercise
All 45 exercise times there were recorded from the participants in the study
All clients at the fitness center
The amount of time that any given client from the fitness center exercises
b The 45 clients from the fitness center who participated in the study
d
a
c
a. Data
b. Sample
c. Population
d. Variable
e. Statistic
f. Parameter
Textbook Pages
Study data: The 45 exercise sessions from study participants were all recorded.
What is meant by data of study?Study Data includes all information created, obtained, or acquired during the conduct of the Study, including Samples 1 through 3 including databases, documents, reports, and other material.
Any information that has been gathered, noticed, produced, or made specifically to support initial study conclusions is referred to as research data. Research data can also be found in non-digital media like diary and lab notebooks, despite being mostly digital.
A. Study data: The 45 exercise sessions from study participants were all recorded.
B. Study parameter: The average weekly exercise time for all participants.
C. Study variable: The length of time that each individual fitness facility patron exercises.
D. Study participants: all patrons of the fitness club.
E. The 45 gym patrons who took part in the survey made up the study's sample.
F. Statistics of the study: The average amount of time that a sample of clients exercises in one week
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Abby is making tie dyed T-shirts for her class field trip each shirt costs 3.95. the dye costed 0.50 then she bought two boxes of salt to mix for 4.50 each. If she had 124.70 how many shirts can she make?
Answer:
3.95 + 0.50 + 4.50 × 2 = 13.45
13.45 × x = 124.70
x = 9
Therefore, she can make 9 shirts.
You are at an altitude of 250 feet in a hot-air balloon. You turn the burner on high and rise at a rate of 20 feet per minute for 5 minutes. Your altitude h after you have risen for t minutes is given by the function h = 250+ 201. (a) Make a table to show the altitude as a function of the number of minutes you have traveled. (b) Graph your data points-make sure to label the units on your axes. (c) Does it make sense to connect the points on the graph? Explain. 400 Altitude # of minutes ( in feet) 350 300 1 250 1.5 200 150 3 100 4 50 1 2 4 5 6 3. 2. Question Name: Date: Page 5 of 6 7. You are at an altitude of 250 feet in a hot-air balloon. You turn the burner on high and rise at a rate of 20 feet per minute for 5 minutes. Your altitude h after you have risen for t minutes is given by the function h = 250 + 20t. (a) Make a table to show the altitude as a function of the number of minutes you have traveled. (b) Graph your data points-make sure to label the units on your axes. (c) Does it make sense to connect the points on the graph? Explain. 400 Altitude # of minutes ( in feet) 350 300 1 250 1.5 200 150 3 100 4 50 5 1 3 4 5 (d) After 5 minutes, you turn the burner to low. This gives just enough heat to keep the balloon from falling but not enough to make it rise any higher. Plot a point on the graph to show how high the balloon is after 6 minutes. (e) Does it make sense to connect the point plotted in part (d) to the rest of the graph? Explain. (f) What is the domain of the function? (g) What is the range of the function? Transcribed Image Text:Name: Date: Page 5 of 6 7. You are at an altitude of 250 feet in a hot-air balloon. You turn the burner on high and rise at a rate of 20 feet per minute for 5 minutes. Your altitude h after you have risen for t minutes is given by the function h = 250 + 20t. (a) Make a table to show the altitude as a function of the number of minutes you have traveled. (b) Graph your data points-make sure to label the units on your axes. (c) Does it make sense to connect the points on the g
Yes, when we connect the points, we get straight line.
What is the function?Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.
Given that, you are at an altitude of 250 feet in a hot-air balloon. You turn the burner on high and rise at a rate of 20 feet per minute for 5 minutes.
Your altitude h after you have risen for t minutes is given by the function h = 250+ 20t.
a) Make a table to show the altitude as a function of the number of minutes you have traveled.
t h
0 250
1 270
2 290
3 310
b) Graph the points, (0, 250), (1, 270), (2, 290) and (3, 310).
c) Yes, when we connect the points, we get straight line.
Hence, graph the points, (0, 250), (1, 270), (2, 290) and (3, 310).
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Ready
Equivalent Expressions & the Distributive Property-
A tiny house has a length of 25 feet. The width of the kitchen is 3 feet, and the width of the
remaining living space is 12 feet.
Which expression represents the area
of the tiny house?
3(12+25)
25-3+12
25(3+12)
3-12 +25
25 ft
3 ft
12 ft
Answer: The area of the tiny house can be represented by multiplying the length of the house by the width. Since the width of the kitchen is 3 feet, and the width of the remaining living space is 12 feet, the total width of the house is 3+12 = 15 feet.
So the area of the tiny house is 25 ft * 15 ft = 2515 = 375 sq ft.
The expression that correctly represents the area of the tiny house is 25 * 15 =375.
So the correct answer is 2515 = 375 ft^2
The other expressions you gave are not the correct representation of the area of the house
3(12+25) = 3 * 37 = 111 ft^2
25-3+12 = 25 - 3 + 12 = 34 ft^2
25(3+12) = 25 * 15 = 375 ft^2
3-12 +25 = 3 - 12 + 25 = 16 ft^2
25 ft , 3 ft and 12 ft are not represent the area of the house.
Step-by-step explanation:
Select the locations on the number line to plot the points 1, 4, and −3.
The locations of the points on the number line are:
point 1: 1 step to the right of 0.
point 4: 4 steps to the right of 0.
point -3: 3 steps to the left of 0
How to select the locations on the number line to plot points?
A number lines is an horizontal straight line in which the integers are placed in equal intervals.
All positive numbers on the number line are on the right side of zero while the negative numbers are on the left side of zero.
To locate 1: starting from 0, count 1 step to the right.
To locate 4: starting from 0, count 4 steps to the right.
To locate -3: starting from 0, count 3 steps to the left.
Check the attached image to see the points.
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The owner-manager of Good Guys Enterprises obtains utility from income (profit) and from having the firm behave in a socially conscious manner, such as making charitable contributions or civic expenditures. Can you set up the problem and derive the optimization conditions if the owner-manager wishes to obtain a specific level of utility at the lowest possible cost? Do these conditions differ from the utility maximizing conditions?
Answer:
Step-by-step explanation:
Certainly! To set up the problem, we can consider the owner-manager's utility as a function of two variables: income (profit) and charitable contributions or civic expenditures. Let's call these variables x and y, respectively.
The owner-manager utility is given by the function U(x,y), where x is the income (profit) and y is the charitable contributions or civic expenditures.
The cost of obtaining this utility is given by the function C(x,y), where x is the income (profit) and y is the charitable contributions or civic expenditures.
To find the lowest possible cost at which the owner-manager can obtain a specific level of utility, we can use the following optimization conditions:
The cost function C(x,y) should be minimized subject to the constraint U(x,y) = k, where k is the specific level of utility that the owner-manager wishes to achieve.
The first-order necessary conditions for a minimum are:
∂C/∂x = λ ∂U/∂x
∂C/∂y = λ ∂U/∂y
where λ is a Lagrange multiplier.
These conditions are known as the Karush-Kuhn-Tucker (KKT) conditions.
These optimization conditions differ from the utility-maximizing conditions in that we are minimizing the cost function instead of maximizing the utility function. In addition, we have the constraint U(x,y) = k, which means that we are trying to achieve a specific level of utility rather than trying to maximize it.
(1,0) m=-5
Formula
Y-Y1 = m(x-x1)
Slope form
Slope form -
y - y1 = m(x - x1)
y - 0 = -5(x - 1)
y = -5x + 5
In the problem on the previous page, suppose Alex wanted to know how many weeks it would take him to work 51 hours. Alex works 3 hours a day and 4 days a week.
1. What are you asked to find?
2. What is a good plan for solving the problem?
3. Does your answer make sense? Explain.
1. you are asked to find how many weeks it would take Alex to work 51 hours.
2. Alex works [tex]3\frac{1}{7}[/tex] weeks.
3. It makes sense in fractional from.
What is fraction?In mathematics, a fraction is used to denote a portion or component of the whole. It stands for the proportionate pieces of the whole. Numerator and denominator are the two components that make up a fraction.
Alex works 3 hours a day and 4 days a week.
Alex works in a week = ( 3×4) hour = 12 hour
Alex works = 51 hours = 48 hours + 3 hours = (48/12) weeks + 1 day
= 3 weeks and 1 day.
= [tex]3\frac{1}{7}[/tex] weeks.
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i’m need help !!!! thanksss
Answer:
x=77
Step-by-step explanation:A triangle is always 180 degreesin total so u would take 26 away from 180 witch is 154 then devide it as the angles that are left are corresponding angles. Then you dwvide 154 by 2 witch is 77. X=77
The point (0,0) is located on a line with slope of 3/4. which point could also be located on the line?
Answer:
Below
Step-by-step explanation:
The equation of the line will be y = 3/4 x pick ANY value of 'x' to find the corresponding 'y' value
Say x = 8 then y = 6 8,6 is a point on the line
Answer:
(1 , 0.75)
(2 , 1.5)
(3 , 2.25)
(4 , 3)
(5 , 3.75)
(4 , 3)
(6 , 4.5)
(7 , 5.25)
(8 , 6)
(9 , 6.75)
(10 , 7.5)
(11 , 8.25)
(12 , 9)
Step-by-step explanation:
To find the other points we must put the given information into the slope-intercept form: [tex]y=mx+b[/tex] m = slope and b = y-intercept
[tex]y=\frac{3}{4} x+0[/tex] or [tex]y=\frac{3}{4} x[/tex]
Then just simply start inputting any numbers for x so you can solve for [tex]y=\frac{3}{4} x[/tex] to get the other points of the line.
I need help with these two questions please help!!
An unknown numerical value in an equation or algebraic expression is represented by a symbol (often a letter) in algebra. The variable is 28 square feet with x = 150 and A = (4)(7).
What is the simple definition of variable?A variable is anything that can take on any one of a number of values, such as a quantity, a sign for a variable, or an element of a scientific experiment that is susceptible to change.
Any traits, figures, or amounts that may be gauged or counted are considered variables. Another name for a variable is a data item. Variables include things like age, sex, business income and expenses, birthplace, capital expenditures, class grades, eye colour, and vehicle type.
A variable is a value that can be altered depending on the mathematical issue. Numerous mathematical expressions and equations use the generic letters x, y, and z.
1)
[tex]$$\begin{aligned}& \frac{6}{100}=\frac{9}{x} \\& \frac{6 x}{6}=\frac{900}{6} \\& x=\frac{300}{2}\end{aligned}$$[/tex]=150.
2)
[tex]$A=(4)(7)$[/tex]
[tex]$A=28$[/tex] thirty feet
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I’ve been stuck on this for about a week, I know it might seem easy but I’m very bad at fractions and my teacher won’t help me
On solving the provided question we can say that - the increased value in fraction will be [tex]3\frac{1}{4}[/tex]
what is fraction?Any number of equal portions, or fractions, can be used to represent a whole. Fractions in standard English indicate how many units of a certain size there are. 8, 3/4. A whole includes fractions. The ratio of the numerator to the denominator is how numbers are expressed in mathematics. Each of these is an integer in simple fractions. In the numerator or denominator of a complex fraction is a fraction. True fractions have numerators that are less than their denominators. A fraction is a sum that constitutes a portion of a total. By breaking the entire up into smaller bits, you can evaluate it. Half of a full number or item, for instance, is represented as 12.
we have,
initial = [tex]4\frac{5}{6}[/tex]
increased by = [tex]4\frac{1}{4}[/tex]
son difference is = [tex]3\frac{1}{4}[/tex]
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Where did Nathan make a mistake?
In Step 1, Nathan did not multiply
both terms in parentheses by-3.
In Step 2, Nathan did not simplify
5x 3x correctly.
In Step 3, Nathan did not divide
by the correct number.
In Step 4, Nathan did not simplify
correctly.
<->) -24
8
Answer:
The question is not detailed enough
Answer:
In step 2, Nathan did not simplify 5x - 3x correctly.
Step-by-step explanation:
In step 2, Nathan was one number off the correct simplification.
The manager of a theatre recorded the number of people that brought tickets for each movie. What is the probability that next person in line will purchase a ticket to see movie #2
how many movies were there?
Mr. Tompkins rode a bus that averaged 30 mph from his home to the airport, and
flew to another city at 250 mph. If his total trip was 670 miles and it took him four
hours of traveling time, how many miles does he live from the airport?
Therefore, Mr. Tompkins lives 240 miles from the airport.
Define acceleration.Acceleration is the rate of change of velocity of an object. It is a vector quantity that has both magnitude and direction. Mathematically, it is the derivative of velocity with respect to time. In simpler terms, it is the change in speed or direction of an object over time.
What is velocity?Velocity is a vector quantity that describes the rate of change of an object's position. It has both magnitude and direction. The magnitude of velocity is the speed of an object, which is the distance covered per unit of time.
We can start solving the problem by using the formula: distance = speed x time.
Let x be the distance from Mr. Tompkins' home to the airport in miles.
Therefore, the distance from the airport to the other city is (670 - x) miles
we know that the total traveling time is 4 hours
so we can set up two equations:
x/30 + (670 - x)/250 = 4
x + (670 - x)/8 = 120
we can solve for x
x = 240 miles
Therefore, Mr. Tompkins lives 240 miles from the airport.
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20% of the students in a class are left handed. There are 50 students. How many
of the students are left handed? (Show working)
Answer:
10
Step-by-step explanation:
50 students.
20% = 20/100 = 1/5
50*1/5 = 10
There are 10 left-handers.
A pharmaceutical sales representative makes a base salary of $68.400 per year. In addition, she can earn an annual bonus of up to $20,800 if she meets her prescription targets for the two medications she sells. She receives 60% of the bonus if she meets her target for Medication A, and she receives 40% of the bonus if she meets her target for Medication B. If she only meets her target for Medication A, what would her total compensation (salary plus bonus) be for the year? )
Answer:
If the pharmaceutical sales representative meets her target for Medication A, she will receive 60% of the $20,800 bonus, or $12,480. When added to her base salary of $68,400, her total compensation for the year would be $80,880.
Step-by-step explanation:
Answer:
The total would be 99,620
Step-by-step explanation:
29400*0.80=23520
Add the amount to the base salary
76100+23520=99,620
1 yard in 6 minutes
Question 1
Part A
Find the unit rate.
Enter the correct answer in the box.
Answer: 0.166666667 yards OR 0.1524 meters OR 0.5 feet
Step-by-step explanation:
1 / 6 = 0.166666667 yards
1 yard = 0.9144 meters
0.9144 / 6 = 0.1524 meters
1 yard = 3 feet
3 / 6 = 0.5 feet
Please help will mark Brainly
Answer: A) solution is 1
Step-by-step explanation:
You have a budget of $1,900 per week for employees. Employees are paid $11 per hour and work 40 hours per week. Ignore overhead, how many employees can you hire?
You can hire around 173 employees. Here's the calculation: $1,900 / ($11/hour * 40 hours/week) = 173.333..., which rounds down to 173.
A right triangle with coordinates A (-2,5), B (-2, 9) and C (4,5) is first rotated 90 degrees clockwise and then
translated 1 unit left and 2 units down to form triangle A'B'C'. What is the measure of angle B'A'C', in
degrees, in the resulting figure?
Answer:
90 degree
Step-by-step explanation:
since the angle BAC is 90 degree, no matter the triangle is rotated, or translated , the angld of the triangle do nit change.
To illustrated this, see attached pages.
Rewrite 6 - 6 - 6 - 6 in exponential notation.
Rewriting 6-6-6-6 in exponential notation is -1.2×10¹
What is exponential notation?Exponential notation is a way of expressing numbers that are too large or too small to be conveniently written in decimal form. It may be referred to as scientific form or standard index form, or standard form.
When writing in exponential notation, it must be in standard l i.e writing in this format 3.577× 10⁴ not 35.77× 10³.
Though both of the expression are literally correct but 3.577× 10⁴ is the acceptable way of writing a scientific notation.
similarly 6-6-6-6 will give -12
writing -12 in exponential notation is -1.2×10¹
Therefore the exponential notation of 6-6-6-6 is -1.2×10¹.
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Consider the line whose equation is y=x+3.
Fill in the table below and then plot the line.
For the given line whose equation is [tex]y=x+3[/tex] :
x y (x,y)
0 3 (0,3)
1 4 (1,4)
2 5 (2,5)
3 6 (3,6)
What is equation?The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.
Define expression.Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation. An expression's structure is as follows: Expression: (Math Operator, Number/Variable, Math Operator)
A line in slope-intercept form, y = mx + b, where m is the slope of the line and b is the y-intercept .
Given the equation y = x + 3, the slope (m) is 1 and the y-intercept (b) is 3.
So, we can fill the table like this:
For the given line whose equation is [tex]y=x+3[/tex] :
x y (x,y)
0 3 (0,3)
1 4 (1,4)
2 5 (2,5)
3 6 (3,6)
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Philip is twice as old as Annie. Paul is 4 years older than Phillip and Chris is 2 years younger than Annie. Which represents the order of the children by age, from oldest to youngest? A. Paul, Phillip, Annie, Chris B. Chris, Paul, Annie, Phillip C. Annie, Phillip, Paul, Chris D. Paul, Phillip, Chris, Annie
Option -A is correct that is the order of the children by age, from oldest to youngest is Paul, Phillip, Annie, Chris.
Given that,
There are 4 children's. The names of the children's are Philip, Annie, Paul and Chris.
Philip is twice as old as Annie. Paul is 4 years older than Phillip and Chris is 2 years younger than Annie.
We have to find which represents the order of the children by age, from oldest to youngest.
We know that,
Lets us take the ages if the children's as a,b,c,d of Philip, Annie, Paul and Chris.
Philip is twice as old as Annie.
That means a = 2b
Paul is 4 years older than Phillip and
That mean c =4+a
Chris is 2 years younger than Annie.
That means d=b-2
So,
If we take the age of Philips as 20
Then Annie is 10, Paul is 24 and Chris is 8.
Therefore, Option -A is correct that is the order of the children by age, from oldest to youngest is Paul, Phillip, Annie, Chris .
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