Step-by-step explanation:
just multiply both the values and get the quadratic solution.
The standard form of the (3x+1)(x+4) is 3x^2+13x+4=0.
We have given that,
(3x+1)(x+4) using the table of products.
We have to determine the standard form.
What is the formula of the standard form?
The quadratic function f(x) = a(x - h)2 + k, a not equal to zero, is said to be in standard form. If a is positive, the graph opens upward, and if a is negative, then it opens downward. The line of symmetry is the vertical line x = h, and the vertex is the point (h,k).
ax^2+bx+C=0
[tex]=3xx+3x\cdot \:4+1\cdot \:x+1\cdot \:4[/tex]
[tex]=3x^2+13x+4[/tex]
Therefore the standard form is 3x^2+13x+4=0.
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Christopher is 20 years younger than Ishaan. Ishaan and Christopher first met two years ago. Fourteen years ago, Ishan was 3 times as old as Christopher
Answer:
Let Ishaan's age be x. Then, Christopher's age is x-20. These are their current ages.
14 years ago,
x-14 = 3(x-20-14) (we need to subtract 14 from both of their ages')
x - 14 = 3(x - 34)
x - 14 = 3x - 102
2x = 88
x = 44
Ishaan is 44 years old now.
Answer:
Christopher is 44 and ishaan is 24
Step-by-step explanation:
So im guessing this question is asking how old they are now
if christopher is 20 years older he will always be 20 years older
so we need to find how old he was 14 years ago
he was 1/3rd the age meaning that 20 is 2/3s so that means that ishaan was 10 years old
then add 14 years and he is 24
How to graph this???
Answer:
you cant see the full picture.
Step-by-step explanation:
The measurements of an cuboidal oil box are 30cm, 40cm and 50cm respectively. The cost of the tin sheet used in making the box is Rs. 10 per m². Find the cost of the tin required to make 20 such boxes ?
Answer:
Cost of 20 boxes = RS. 188
Step-by-step explanation:
Given:
Length of box = 30 cm = 0.3m
Width of box = 40 cm = 0.4 m
Height of box = 50 cm = 0.5 m
Cost per m² = Rs. 10
Find:
Cost of 20 boxes
computation:
TSA of box = 2[lb + bh + hl]
TSA of box = 2[(0.3)(0.4) + (0.4)(0.5) + (0.5)(0.3)]
TSA of box = 2[0.12 + 0.2 + 0.15]
TSA of box = 0.94 m²
Cost of 20 boxes = 0.94 x 20 x 10
Cost of 20 boxes = RS. 188
6x - 18 < 27 please help me with answer
Answer:
that's inequality topic right?
if the x variant of 24 was 8 how to I solve?
Answer:
you substitue 8 for x then you sovle it like a normal equations
Step-by-step explanation:
thanks for points :D
Answer:
8 times 3
Step-by-step explanation:
since 8 times 3 = 24
What is an equation of the line that passes through the point (6,1) and is perpendicular to the line 2x+3y=18?
Answer
y = 3/2x -8
Step-by-step explanation:
The first thing you should do is change the equation into slope intercept form. Subtract 2x from both sides to get: 3y = -2x + 18. Divide all parts of the equation by 3 to get your equation in slope intercept: y = -2/3x + 6. One thing you should know when finding the slope of a perpendicular line is that it is the opposite reciprocal. So, the slope is going to be 3/2. This is your current equation: y = 3/2x + b. Plug in the point to the equation, it should look like this: 1 = 3/2(6) + b. Multiply 3/2 by 6 to get 9. This is what it should look like: 1 = 9 + b. Then, subtract 9 from both sides of the equation to get your y-intercept of -8. Go back to your other equation and plug in -8 for b. This is your final equation: y = 3/2x -8.
Which decimal is equivalent to 2/9 ?
A) 2.2 repeating
B) 2.9
C) 22222
D) 0.2 repeating
Answer:
D) 0.2 repeating
Step-by-step explanation:
2÷9=0.2 repeating
Answer:
D
Step-by-step explanation:
solve for x: 17/x+10 = 16/x
x=____
Answer:
X = -1/10
Step-by-step explanation:
[tex] \frac{17}{x} - \frac{16}{x} = - 10 \\ \frac{1}{x} = - 10 \\ 1 = - 10x \\ x = \frac{1}{ - 10} [/tex]
help me out i would really appreciate it
Answer:
I think they both are linear
−14 − 8x = −2(−3x + 7)
Answer:
-8x=6x+14-14
-8x-6x=0
-14x=0
X=0/14
X=0
?????
Answer:
X= 0 or Zero
Step-by-step explanation:
Steps To solve this problem... (8 steps)
1) Rearrange terms:
−14 − 8x = −2(−3x + 7)
−8x − 14 = −2(−3x + 7)
2) Distribute:
−8x − 14 = −2−(3x + 7)
−8x − 14 = 6x - 14
3) Add 14 to both sides of the equation:
−8x − 14 = 6x - 14
−8x − 14 + 14 = 6x - 14 + 14
4) Simplify (Add the numbers):
-8x = 6x
5) Subtract 6x from both sides of the equation:
-8x = 6x
-8x - 6x = 6x - 6x
6) Simplify (Combine like terms):
-14x = 0
7) Divide both sides of the equation by the same term:
-14x = 0
-14x/-14 = 0/-14
8) Simplify (Cancel terms that are in both the numerator and denominator):
X= 0/-14
Hope this Helped! :)
help quick!!
Part A: Bill earned $12 walking his neighbors' dogs on Saturday. He earned some extra money on Sunday doing the same thing. Write an expression with a variable that shows the total amount of money Bill earned Saturday and Sunday.
Part B: Bill was able to walk 2 more than twice as many dogs as his friend Steve. Write an algebraic expression to represent the number of dogs Bill walked compared with Steve.
Answer:
Part A: 12 + x
Part B: 2s + 2
Step-by-step explanation:
First thing you need to know is the difference between an expression and an equation. An expression does not have an equal sign, while an equation does.
To write an expression for Part A, first write the 12 (the amount he got on Saturday). Then, we need to write the addition sign (to find the total amount Bill earned). We don't know how much Bill earned on Sunday, so use any variable (I used x). Because we're writing an expression, do not write an equal sign.
To write an expression for Part B, first write the amount of dogs his friend Steve walked using a variable because we don't know that number (I used the variable s). Then, since Bill walked 2 more than twice as many dogs Steve walked, write the s multiplied by the 2 or just 2s. Now add the addition sign (to find the total amount Bill walked). Add a 2 because Bill walked 2 more dogs than twice as many Steve walked.
Hope it helps!
The expressions formed are 12+x and 2y+2.
What is an Expression?An expression is a mathematical statement which consists of variables, constants and mathematical operators.
Let x be the amount of money Bill earned on Sunday.
He earned $12 on Saturday.
The total amount of money Bill earned is,
=> 12 + x
Let the number of dogs Bill's friend Steve walked is y.
Then the expression for the number of dogs Bill walked compared with Steve is,
=> 2y +2
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Write an
explicit formula for an, the nth term of the sequence 21, 27, 33, ....
Answer:
Step-by-step explanation:
Remark
This is an arithmetic series. Each term differs by 6 from the previous one.
Givens
a1 = 21
d = 6
Formula
a_n = a1 + (n - 1)*d
Sample
Try it.
Let's let n = 3 which we have the answer for.
a_3 = 21 + (3-1)*6
a_3 = 21 + 2 * 6
a_3 = 21 + 12
a_3 = 33
That's exactly what the 3rd term is.
The polynomial
[tex] { - 3x}^{2} + 400x[/tex]
represents the budget surplus of the town of Alphaville for the year 2010. Alphaville's surplus in 2011 can be modeled by
[tex] { - 1.5x}^{2} + 300x[/tex]
If x represents the yearly tax revenue in thousands, enter a polynomial for how much Alphaville's budget surplus increased from 2010 to 2011. If Alphaville took in $450,000 in tax revenue in 2011, what was the budget surplus that year?
The surplus increased by __________
Alphaville's budget surplus was $_____ thousand, or$ ______ million
Answer:
Answer:
Question 1: Budget Surplus Increase = 12x(exponent 2) - 200x
Question 2: Budget surplus in 2011 = $3.04 * 10 (exponent 12)
Step-by-step explanation:
Question 1
Budget surplus in 2010 =
Budget surplus in 2011 =
Increase in buget surplus = Budget surplus in 2011 - Budget surplus in 2010
Question 2
2011 yearly tax revenue, x = $450,000
Budget surplus in 2011 =
Budget surplus in 2011 ≅ $
Step-by-step explanation:
Despite a wide variety of workplaces for those working in Human Services, all workplaces include
comfortable areas for interactions amongst people.
a variety of medical testing equipment.
desks where clients can sit across from the worker.
toys and exercise equipment for children.
Answer:
a variety of medical testing equipment.
Step-by-step explanation:
Answer:
c hope this helps if wrong please tell me
Step-by-step explanation:
Solve: -3k(1-6k)=6k+21
Answer: Move all terms to the left side and set equal to zero. Then set each factor equal to zero.
Exact Form:
k
=
3
+
√
177
12
,
3
−
√
177
12
Decimal Form:
k
=
1.35867789
…
,
−
0.85867789
…
Step-by-step explanation
PLZ HELP 10 POINTS FOR THIS QUESTION PLZ PLZ
Answer:
Tried my best..... Hope it helps! :)
What is this number in standard form?
(5×100)+(6×1/10)+(7×1/100)
Enter your answer in the box. (1/10 and 1/100 are fractions)
Answer:
500.61
Step-by-step explanation:
5 multiplied by 100 = 500
1/10 = 0.1, So 6 multiplied by 0.1 = 0.6
1/100 = 0.01, So 1 multiplied by 1 = 0.01
500 + 0.6 + 0.01 = 500.61
[tex](5 \times 100) + (6 \times \frac{1}{10} ) + (7 \times \frac{1}{100} )[/tex]
[tex]5 \times 100 = 500[/tex]
[tex] \frac{6}{1} \times \frac{1}{10} = \frac{6}{10} = 0.60[/tex]
[tex] \frac{7}{1} \times \frac{1}{100} = \frac{7}{100} = 0.07[/tex]
[tex]500 + 0.60 + 0.07 = 500.67[/tex]
What is the degree of X4 - 3x + 2?
A. 3
B. 4
O o O o
C. 5
D. 2
SUBMIT
Answer:
the degree of the equation is 1
please help it almost due to 15 points
Answer:
a=30
b=15
c=3
d=30
e=10
Step-by-step explanation:
Solve for A first and continue solving for one variable at a time
Joel spent $28 for an Internet data service
and
pays $14.50 per month. He spent 24 50 to join
an online movie streaming site and bays $13.25
per month. Write an expression to represent
Joel's total cost for both memberships after
m months
Answer: 42.50m + 37.75
Step-by-step explanation:
28+14.50m = 42.50m
24.50+13.25m = 37.75m
So the answer is, 42.50m + 37.75m
Which one is it??????
Write a proportion (or equation) to find the part, whole or percent. Then, solve.
What percent of 50 is 10?
Proportion or equation:
Answer: _______________________
What number is 50% of 20?
Proportion or equation:
Answer: _______________________
12 is 3% of what number?
Proportion or equation:
Answer: ______________________
Answer:
20%
Step-by-step explanation:
What is 10 as a percentage of 50? 1000 ÷ 50 = 20. Answer: 10 is 20% of 50.
HURRY Please help!!!!!
Please!!!!
Answer:
1. 5>1 true
2. 1<7 true
3. 2>-1 true
4. -6<-30 false
5. 5>6 false
Step-by-step explanation:
Hope this Helped
Graph (3, –3), (–2, 0), (–2, 4) and (5, 4) and connect the points. This polygon is a . The length of the left side . The length of the right side .
This.
(20 characters)
Answer:
Quadrilateral
is 4 units
cannot be determined
Step-by-step explanation:
I had the same assignment question on edge question 3
please help me! where are the black dots located?!
the bottom square: -6,-5
the top square: -2,1
umm what is this?????
Answer: The correct answer is 1/2 ÷ 1/11.
Step-by-step explanation:
Answer:
1/2 ÷ 1/11 :)
Step-by-step explanation:
11/2= 5.5 and so does 1/2 ÷ 1/11
None of the other answers equal to the same amount.
1/2 ÷ 3/14= 2.3
1/2 + 1/10= 5
8/11 + 1/2= 1.45
Hope this helps! <3
if the sum of 2 digits no. is 9 and their differenc is 1 find te no.
Answer:
Let the ten's digit no. be x and one's digit no. be y.
So the no. will be = 10x+y.
Given : x+y=9-----(I)
9(10x+y)=2(10y+x) ⇒88x−11y=0 -----(II)
On solving I and II simultaneously you will get x=1 and y=8.
Therefore your desired no. is 18.
Step-by-step explanation:
Hope it is helpful.....
Question 12
If a car tries to stop on ice, the distance the car slides can be modeled by the equation s= 50d + 25 where s stands
for speed in mph and d stands for distance in feet. What distance will you slide if your car is traveling at a speed of
55 mph?
[tex]s = 50d + 25[/tex]
[tex]55 = 50d + 25[/tex]
[tex]55 - 25 = 50d + 25 - 25[/tex]
[tex]30 = 50d[/tex]
[tex] \frac{30}{50} = \frac{50d}{50} [/tex]
[tex]0.6 = d[/tex]
Your car would slide a distance of 0.6 feet.
Need Help!!
1) What is the total of all new transactions?
$8.25
$16.23
$22.56
$47.04
2) What is the new balance?
$312.64
$295.47
$259.74
$244.64
Answer:
The answers are:
1, 47.04
2, 295.47
hope this helps
Answer:
1) $47.04
2) $295.47
Step-by-step explanation:
1) Add up Transactions:
$16.23 + $22.56 + $8.25 = 47.04
2) Start with the Previous Balance, subtract Payments, add Transactions then add the Finance Charge (from a previous question).
$312.64 - $68 + $47.04 + $3.79 = $295.47
If F(x)=-x+6 and g(x)=3x^2-x+3 find the value of (g•f)(8)
9514 1404 393
Answer:
-374
Step-by-step explanation:
f(8) = -8 +6 = -2
g(8) = (3x -1)x +3 = (3·8 -1)8 +3 = 23·8 +3 = 187
Then the product is ...
(g•f)(8) = g(8)•f(8) = 187·(-2)
(g•f)(8) = -374