Answer:
it's true because the x=0 and that why it must be true FX may be the some I would say it's true
1. A group of 34 women sells at least one of the following foodstuffs: yam, maize and plantain. Of those, 22 sell yam, 14 sell maize, 18 sell plantain, 7 sell both yam and maize, 9 sell yam and plantain and no one sells all three items.
i. Draw a Venn diagram to illustrate this information
ii. Find the number who sell maize aiind plantain
iii. What is the probability that a woman selected at random from the group sells plantain only?
Please see Explanation
Step-by-step explanation:[tex]a)\ As\ shown\ in\ the\ figure.[/tex]
[tex]b)\ According\ the\ picutre,[/tex]
[tex]we\ know\ only\ 3\ people[/tex]
[tex]sell\ maize\ and\ 5\ people\ sell\ plantain.[/tex]
I hope this helps you
:)
The 3 people sell only maize, 5 people sell only plantain and 4 people sell maize and plantain and the probability that a woman selected at random from the group sells plantain only is 0.147.
It is given that a group of 34 women sells at least one of the following foodstuffs: yam, maize, and plantain.
22 sell yam, 14 sell maize, 18 sell plantain, 7 sell both yam and maize, 9 sell yam and plantain, and no one sells all three items
What is the Venn diagram?It is defined as the diagram that shows a logical relation between sets.
The Venn diagram consists of circles to show the logical relation.
i) Venn diagram is shown in the picture below:
ii) As per the picture 3 people sell only maize, 5 people sell only plantain
and 4 people sell maize and plantain.
iii) Total number of women in the group = 34
The number of women who sells plantain = 5
We know the probability = [tex]\rm \frac{favorable \ event}{total \ outcome}[/tex]
Probability [tex]=\frac{5}{34} \\\\\\= 0.147\\[/tex]
Thus, the 3 people sell only maize, 5 people sell only plantain
and 4 people sell maize and plantain and the probability that a woman selected at random from the group sells plantain only is 0.147.
Learn more about the Venn diagram here:
https://brainly.com/question/1024798
5. CD has an endpoint at (2, -1) and a midpoint at (8,3). Which measure is closest to the length of CD?
A 20.4 units
B 8.9 units
C 14.4 units
D 11.7 units
Answer: C
Step-by-step explanation:
the equation for X is
[tex]\frac{2+x}{2} =\frac{8}{1}[/tex] use proportion to solve
2 + x = 16
x = 14
(14,y)
The equation for Y is
[tex]\frac{-1+y}{2} =\frac{3}{1}[/tex] use proportion to solve
-1 + y = 6
y = 7
(14,7)
now use the distance formula
(14,7) (2,-1)
which gets you 14.4 or C
Which set shows an average of 8?
A) A
B) B
C) A and B
D) none of the above
Answer: D
Step-by-step explanation:
None of the above
Answer:
Step-by-step explanation:
d
"My sales volume has increased from 50 units a day to 62. That is a __________ increase."
Answer:
If your sales volume is increasing from 50 to 62 units a day. This is a 24% increase.
Step-by-step explanation:
To find this answer this is what I did:
[tex]\frac{(62-50)}{50} * 100 = (?)\\\\=\frac{12}{50} *100\\\\=24%[/tex]
24 = 24%
Hence, the percent increase from 50 to 62 is 24%.
** the "*" in the problem above represents multiplication **
I hope that this answer helps to answer your question completely. If there are any further questions please put them in the comments below and I will try my best to answer them If not, please have a great rest of your day/night.
Answer:
24%
If your sales volume is increasing from 50 to 62 units a day. This is a 24% increase. Step-by-step explanation:To find this answer this is what I did:24 = 24% Hence, the percent increase from 50 to 62 is 24%
Are you the person you want to be?
i know it's not math but please answer
Answer:
yes because no one is perfect than god.
Show how you got the answer, giving brainliest :)
Answer:
Step-by-step explanation:
Volume of a rectangular prism: l*w*hVolume of a triangular prism: 1/2*b*h*lFor the rectangular prism:
L (length) = 5 cmW (width) = 8 cmH (height) = 3 cmV = l*w*h <== substitute the values (from above) for the variables
V = 5*8*3
V = 40*3
V = 120 cm^3 (cubed)
For the triangular prism:
B (base) = 6 cmH (height) = 3 cmL (length) = 2 cmV = 1/2*b*h*l <== substitute the values (from above) for the variables
V = 1/2*6*3*2
V = 3*3*2
V = 9*2
V = 18 cm^3 (cubed)
Hope helps!
ABDE is a rectangle on coordinate axes, the sides of the rectangle are parallel to the axes,
Point C is the centre of the rectangle
What are the coordinates of B and D
The coordinates of B and D are the location of the vertices B and D in the rectangle
The coordinates of B and D are (55, 30) and (55, 14)
How to determine the coordinates of B and D?From the figure of the rectangle, we have:
A = (25,30)
C = (40, 22)
Point B has the same y-coordinate as point A
So, we have:
B = (x, 30)
The x-coordinate is then calculated as:
Bx = 2Cx - Ax
This gives
Bx = 2*40 - 25
Bx = 55
So, the coordinates of B are:
B = (55, 30)
Point D has the same x-coordinate as point B
So, we have:
D = (55, y)
The y-coordinate is then calculated as:
Dy = Cy - (By - Cy)
This gives
Dy = 22 - (30 - 22)
Dy = 14
So, the coordinates of B are:
D = (55, 14)
Hence, the coordinates of B and D are (55, 30) and (55, 14)
Read more about rectangles at:
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A grocer wants to mix two kinds of candy. One kind sells for $1.15 per pound, and the other sells for
$2.75 per pound. He wants to mix a total of 24 pounds and sell it for $1.30 per pound. How many
pounds of each kind should he use in the new mix? (Round off the answers to the nearest hundredth.)
Hey there!
This grocer is mixing two kinds of coffee. I always love the smell of coffee!
We will say that x sells for $1.15 per pound and y sells for $2.75 per pound.
Altogether there are 24 pounds of coffee he is selling.
The algebraic equation would be x + y = 24
At $1.30 per pound, he will make 24 * $1.30 = $31.2
So, how many of the x and y kinds of coffee should he use to make the $1.30 per pound mixture which will net him $31.2?
The algebraic equation would be 1.15x + 2.75y = 31.2
We now have two equations :
x+y = 24
1.15x + 2.75y = 31.2
Substituting x= 24 -y in the second equation gives us
1.15(24-y) + 2.75y = 31.2
27.6 - 1.15y + 2.75y = 31.2
27.6 + 1.6y = 31.2
1.6y = 31.2 - 27.6
0.3y= 3.6
y= 2.25
x + y = 24
x + 2.25 = 24
x = 24 -2.25
x = 21.75
If y=2.25, then x= 21.75 as well.
So, he will use 21.75 pounds of the $1.15 per/lb one and another 2.25 pounds of the $2.75per/lb one.
~Done~
A house owner pays a property tax of $10 for every $1,000 of assessed property value. What is the tax for a home assessed at $150,000.
Tax the assesed home would increase the total amount paid
The tax of a home assesed at $150,000 is $1500
How to determine the tax amount?The given parameter can be represented using the following ratio:
Ratio = Tax : Amount
So, we have:
$10 : $1000 = Tax : $150000
Express as fraction
10/1000 = Tax/$150000
Multiply both sides by $150000
Tax = $1500
Hence, the tax of a home assesed at $150,000 is $1500
Read more about tax at:
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A Web music store offers two versions of a popular song. The size of the standard version is 2.3 megabytes (MB). The size of the high-quality version is 4.5 MB. Yesterday, the high-quality version was downloaded twice as often as the standard version. The total size downloaded for the two versions was 2938 MB. How many downloads of the standard version were there?
Answer:
260
Step-by-step explanation:
The relationship between the number of standard versions and the total download can be written as ...
2.3n +4.5(2n) = 2938 . . . . . twice as many high-quality songs (2n)
11.3n = 2938 . . . . . . . . . simplify
n = 2938/11.3 = 260 . . . divide by the coefficient of n
There were 260 downloads of the standard version.
An airline is planning its staffing needs for the next year. If a new route is approved, it will hire 837 new employees. If a new route is not granted, it will hire only 199 new employees. If the probability that a new route will be granted is 0.37, what is the expected number of new employees to be hired by the airline?
Considering a discrete distribution, it is found that the expected number of new employees to be hired by the airline is of 446.16.
What is the mean of a discrete distribution?The expected value of a discrete distribution is given by the sum of each outcome multiplied by it's respective probability.
In this problem, considering the situation described in the text, the distribution is given by:
P(X = 837) = 0.37.P(X = 199) = 0.63.Hence, the expected value is given by:
E(X) = 0.37(867) + 0.63(199) = 446.16.
More can be learned about discrete distributions at https://brainly.com/question/24855677
SOHCAHTOA geometry
Help quick please!
How would i solve this?
Answer: 32
Step-by-step explanation:
48 - 16 is 32
An Eiffel Tower mural is 2 meters high and 0.77 meters wide. If the actual tower is 125 meters wide, how tall is it to the nearest meter?
If the actual tower is 125 meters wide, then the height will be approximately 325m
Similarity ratio of shapesThe ratio of the similar sides of the shape is equal to a constant.
If an Eiffel Tower mural is 2 meters high and 0.77 meters wide the actual tower is 125 meters wide, then the new height will be expressed as;
2/0.77 = H/125
Cross multiply
0.77H = 2 * 125
0.77H = 250
H = 250/0.77
H = 325m
This means that if the actual tower is 125 meters wide, then the height will be approximately 325m
Learn more on similar shapes here: https://brainly.com/question/2644832
A supply company manufactures copy machines. The unit cost C (the cost in dollars to make each copy machine) depends on the number of machines made. If
x machines are made, then the unit cost is given by the function C(x) = 0.5x^2- 150x +20,960. How many machines must be made to minimize the unit cost?
Do not round your answer.
The supply equation of the company is an illustration of a quadratic function
The number of machines that must be made to minimize the unit cost is 150
How to determine the number of units?The equation of the function is given as:
[tex]C(x) = 0.5x^2- 150x +20960[/tex]
Differentiate the function
[tex]C'(x) = x - 150[/tex]
Set to 0
[tex]x - 150 = 0[/tex]
Add 150 to both sides of the equation
[tex]x = 150[/tex]
Hence, the number of machines that must be made to minimize the unit cost is 150
Read more about quadratic functions at:
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How is the Golden Ratio calculated from Fibonacci sequence? Please help me tyyy <3
Answer/Step-by-step explanation:
the fibonacci sequence is {1, 1, 2, 3, 5, 8, 13, 21, 34…} and in the visual for the Golden Ratio, if you look those are the those are the numbers that basically equals the golden ration, 1.618.
When do you say that a given quadrilateral is a parallelogram?
Answer:
If in a quadrilateral, each pair of opposite angles is equal, then it is a parallelogram. Given : ABCD is a quadrilateral in which ∠A = ∠C and ∠B = ∠D. We know that the sum of the angles of a quadrilateral is 360o.
Step-by-step explanation:
hope that helps
The speeds of four racing cars are 146.633 mph, 150 mph, 151.971 mph, and 141.428 mph. Find the average speed of the 4 cars correct to 5 significant digits.
Answer:
I think the average speed is 160mph or 180mph
Answer: I guess it is 180180mph
Step-by-step explanation:
The table shows temperatures below freezing measured in different units. Complete the equation in standard form to represent the relationship between F, a temperature measured in degrees Fahrenheit, and C, a temperature measured in degrees Celsius.
The relationship between the temperature in celsius to the temperature in Fahrenheit is C = (5/9)(F - 32)
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Let F represent temperature measured in degrees Fahrenheit, and C, a temperature measured in degrees Celsius.
At 0°C, the temperature is 32°F. Also at 100°C, the temperature is 212°F, hence:
[tex]C-0=\frac{100-0}{212-32} (F-32)\\\\C=\frac{5}{9} (F-32)[/tex]
The relationship between the temperature in celsius to the temperature in Fahrenheit is C = (5/9)(F - 32)
Find out more on equation at: https://brainly.com/question/297283
Which expression has a value 48?
.A) (4 + 5): 32-9 +3
.B) 4+ 5 • (32 - 9) + 3
.C) 4+ 5.3?(-9+3)
.D) 4+5•3²-9= 3
20 brainly points asap
Hey there!
Option A.
(4 + 5) * 3^2 - 9 ÷ 3^2
= 9 * 9 - 9 ÷ 9
= 81 - 1
= 80
Thus, that answer is: [incorrect]
Option B.
4 + 5 * (3^2 - 9) + 3^2
= 4 + 5 * (9 - 9) + 9
= 4 + 5 * (0) + 9
= 4 + 5(0) + 9
= 4 + 0 + 9
= 4 + 9
= 13
Thus, that answer is also [incorrect]
Option C.
4 + 5 * 3^2(-9 ÷ 3^2)
= 4 + 5 * 3^2(-9 ÷ 9)
= 4 + 5 * 3^2(-1)
= 4 + 5 * 9(-9)
= 4 + 5(9) * -1
= 4 + 45 * -1
= 4 - 45
= -41
Thus, that answer is also [incorrect]
Option D.
4 + 5 * 3^2 - 9 ÷ 3^2
= 4 + 5(9) - 9 ÷ 9
= 4 + 45 - 9 ÷ 9
= 49 - 9 ÷ 9
= 49 - 1
= 48
Therefore, your answer is: Option D.
Good luck on your assignment & enjoy your day l!
~Amphitrite1040:)
Answer:
Option D
Step-by-step explanation:
To find out which expression has a value of 48, we need to recall the PEMDAS (where: P = Parenthesis, E = Exponents, M/D = Multiplication or Division, A/S = Addition or Subtraction).
A) [4 + 5] × 3² - 9 ÷ 3²
First, simplify the expression in the parenthesis as PEMDAS
⇒ [9] × 3² - 9 ÷ 3²
Pull the "9" out of the parenthesis
⇒ 9 × 3² - 9 ÷ 3²
Simplify the exponents as PEMDAS
⇒ 9 × 9 - 9 ÷ 9
Multiply the first two terms in the expression as PEMDAS
⇒ 81 - 9 ÷ 9
Divide the last two terms as PEMDAS
⇒ 81 - 1
Finally, simplify the expression.
⇒ 80
⇒ 48 ≠ 80
B) 4 + 5 × (3² - 9) ÷ 3²
First, simplify the expression in the parenthesis as PEMDAS.
We can see here that the expression in the parenthesis includes a constant with a negative sign and an exponent. To simplify the expression, we need to simplify the exponent. Once the exponent is simplified, we can simplify the expression in the parenthesis.
⇒ 4 + 5 × (3² - 9) ÷ 3²
⇒ 4 + 5 × (9 - 9) ÷ 3²
⇒ 4 + 5 × (0) ÷ 3²
Pull the "0" out of the parenthesis
⇒ 4 + 5 × 0 ÷ 3²
Simplify the exponent as PEMDAS
⇒ 4 + 5 × 0 ÷ 9
Multiply the middle two terms as PEMDAS
⇒ 4 + 0 ÷ 9
Divide the last two terms as PEMDAS
⇒ 4 + 0
Add the two terms in the expression as PEMDAS
⇒ 4
⇒ 4 ≠ 48
C) 4 + 5 × 3²(-9 ÷ 3²)
First, simplify the expression in the parenthesis as PEMDAS
⇒ 4 + 5 × 3²(-9 ÷ 3²)
⇒ 4 + 5 × 3²(-9 ÷ 9)
⇒ 4 + 5 × 3²(-1)
*3²(-1) can also be written as 3² × -1*
⇒ 4 + 5 × 3² × -1
Simplify the exponent as PEMDAS
⇒ 4 + 5 × 9 × -1
Multiply the last three terms as PEMDAS
⇒ 4 + 5 × 9 × -1
⇒ 4 + (-45)
Add/Subtract the last two terms as PEMDAS
⇒ 4 - 45
⇒ -41
D) 4 + 5 × 3² - 9 ÷ 3²
Since there are no parenthesis in the expression, we can start simplifying this expression by simplifying the exponents.
⇒ 4 + 5 × 3² - 9 ÷ 3²
⇒ 4 + 5 × 9 - 9 ÷ 9
⇒ 4 + 5 × 9 - 9 ÷ 9
Multiply the second and the third terms as PEMDAS
⇒ 4 + 45 - 9 ÷ 9
Divide the last two terms as PEMDAS
⇒ 4 + 45 - 1
Add/Subtract the terms as PEMDAS
⇒ 4 + 44
⇒ 48
⇒ 48 = 48 ✔✔
In conclusion, we can say that option D is correct because the expression of Option D has a value of 48.
I need the answer to this quick pls
Answer:
Option A
Step-by-step explanation:
The median of the trapezoid is the line connecting the midpoints of the legs.The median of the trapezoid can be caculated by the fromula,
[tex]\bf Median = \dfrac{a +b}{2}[/tex]
Here, a and b are the base (parallel sides)
a = 13 inches & b = 19 inches
[tex]\bf Median = \dfrac{13+19}{2}[/tex]
[tex]= \dfrac{32}{2}\\\\\\= 16 \ inches[/tex]
Larry is reroofing his house. Each side of the roof measures 14 feet from the eave to the ridge. The horizontal distance between the eaves is
20 feet.
x
14 feet
14 feet
20 feet
The measure of the angle between the two sides of the roof is approximately
Reset
Next
Answer:
91.2°
Step-by-step explanation:
There are several ways to find the a.pex angle of an isosceles triangle with all side lengths given. One of them is using the Law of Cosines:
c² = a² +b² -2ab·cos(C)
Solving for the angle C, we find ...
C = arccos((a² +b² -c²)/(2ab))
__
Here, we have a=b=14 and c=20. The angle is ...
C = arccos((14² +14² -20²)/(2·14·14)) = arccos(-8/392)
C ≈ 91.16938°
The interior angle at the peak of the roof is about 91.2°.
the average car on the highway travels 65 miles per hour. if someone has been driving for 4.5 hours how many miles have they driven (Help)
Answer:
292.5
Step-by-step explanation:
Since they are driving 65 miles for every hour, you can multiply the 65 miles by 4.5
So:
65 * 4.5 = 292.5
Which mathematical word describes both 27x and 6x in the expression 27x+6x
coefficient
difference
difference
sum
sum
term
term
The mathematical word describing both 27x and 6x in the expression is "addition" or "sum"
How to use mathematical word to describe an expressionThe mathematical expression is 27x + 6x.
Mathematical expression are combinations of numbers and variables ordered with operations.
Mathematical expression is a combination of numbers, variables, operators (such as addition, subtraction, multiplication or division etc.).
For the given case, the terms are 27x and 6x and the expression formed from them is 27x + 6x.
This simply implies both terms are summed together to give the expression 27x + 6x.
Therefore, the mathematical word describing both 27x and 6x in the expression is "addition" or "sum"
learn more on mathematical expression here: https://brainly.com/question/26848264
A bag has 16 blue marbles and 14 red marbles. John will randomly select 1 marble from the bag. What is the probability that he will select a red marble? *
Answer:
46.66% chance of red marble
Step-by-step explanation:
Red Marbles / Total Marbles gives you the percent
14 / 30 = 46.66%
Justin runs 7 miles in 60 minutes. At the same rate, how many miles would he run in 24 minutes?
miles
Answer:
2.8 Miles
Step-by-step explanation:
If 7m is 60mins
How many miles is 24 mins
solution:
take unknown miles to be 'x'
7m=60mins
Xm=24mins
cross multiply
7×24/60=2.8m
x=2.8miles
The time it takes me to wash the dishes is uniformly distributed between 7 minutes and 16 minutes. What is the probability that washing dishes tonight will take me between 8 and 15 minutes?
Answer as a fraction = 7/9 which is exact
Answer in decimal form = 0.778 which is approximate
=========================================================
Explanation:
The time gap from 8 to 15 is 15-8 = 7 minutes.
The time gap from 7 to 16 is 16-7 = 9 minutes.
Divide those differences: 7/9 = 0.778 approximately
The 7's go on forever, but rounding at some point will bump the last 7 to an 8.
help for 40 points and brainliest
[tex]\sf 2^{-6}[/tex]
these two options apply
[tex]\rightarrow \sf \dfrac{1}{2^6}[/tex]
[tex]\rightarrow \sf 2^{-2} \ * \ 2^4 \ * \ 2^{-8}[/tex]
in decimals : 0.015625
Answer:
Option C and D
Step-by-step explanation:
≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡
Example:
If the given exponent is a⁻ᵇ, then the result will be 1/aᵇ.
This exponent includes a negative sign. To make the exponent positive, take the exponent's reciprocal and change the negative sign to a positive sign. The same will be done to the given expression.
≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡
First, take the exponent's reciprocal as said above.
⇒ [tex]2^{-6}[/tex]
⇒ [tex]\frac{1}{2^{-6} }[/tex]
Now, change the exponent's sign.
⇒ [tex]\frac{1}{2^{-6} }[/tex]
⇒ [tex]\frac{1}{2^{6} }[/tex]
Now, simplify the term.
⇒ [tex]\frac{1}{2^{6} }[/tex]
⇒ [tex]\frac{1}{2 \times 2 \times 2 \times 2 \times 2 \times 2} }[/tex]
⇒ [tex]\frac{1}{8 \times 8}[/tex]
⇒ [tex]\frac{1}{64}[/tex]
Using the simplified result we obtained, let's verify all the options to see which is equivalent to the term.
≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡
A)------------------------------------------------------------------------------------------------------
Keep in mind that the exponent is the number of times the base needs to multiply itself.
[tex]-2^{6} \rightarrow -2 \times -2 \times -2 \times -2 \times -2 \times -2[/tex]
NOTE: If there are even number of "-", then the result should be positive. If there are odd number of "-", then the result should be negative.
[tex]-2 \times -2 \times -2 \times -2 \times -2 \times -2[/tex]
⇒ [tex]2 \times 2 \times 2 \times 2 \times 2 \times 2[/tex]
⇒ [tex]64[/tex]
[tex]-2^{6} = 64 \neq \frac{1}{64}[/tex]
B)------------------------------------------------------------------------------------------------------
Since -64 is already a simplified term, we can compare this with the simplified result.
[tex]-64 \neq \frac{1}{64}[/tex]
C)------------------------------------------------------------------------------------------------------
[tex]\frac{1}{2^{6}}[/tex]
⇒ [tex]\frac{1}{2 \times 2 \times 2 \times 2 \times 2 \times 2 }[/tex]
⇒ [tex]\frac{1}{8 \times 8 }[/tex]
⇒ [tex]\frac{1}{64}[/tex]
[tex]\frac{1}{2^{6} } = \frac{1}{64} = \frac{1}{64}[/tex]
D)------------------------------------------------------------------------------------------------------
[tex]2^{-2} \times 2^{4} \times 2^{-8}[/tex]
⇒ [tex]\frac{1}{2^{2}} } \times 16 \times \frac{1}{2^{8} }[/tex]
⇒ [tex]\frac{1}{4} \times 16 \times \frac{1}{256}[/tex]
⇒ [tex]\frac{1}{4} \times 1 \times \frac{1}{16}[/tex] [16² = 256]
⇒ [tex]\frac{1}{4} \times \frac{1}{16}[/tex]
⇒ [tex]\frac{1}{64}[/tex]
[tex]2^{-2} \times 2^{4} \times 2^{-8} = \frac{1}{64} = \frac{1}{64}[/tex]
E)------------------------------------------------------------------------------------------------------
[tex]2^{3} \times 2^{-2}[/tex]
⇒ [tex]2^{3 - 2}[/tex]
⇒ [tex]2^{1} = 2[/tex]
[tex]2^{3} \times 2^{-2} = 2 \neq \frac{1}{64}[/tex]
≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡
Joey has completed a portion of his weekend chores. This portion is represented by the point on the number line below. What percentage is represented by the point on the number line?
A. 12.5%
B. 60%
C. 75%
D. 80%
Answer:
C - 75%
Step-by-step explanation:
6/8 = 75%
What are the coordinates of C' -3, 2 after it has been transformed using the rule (x, y)→(x + 4, y - 3)?
x=-3+4
y=2-3
So it will be (1;-1)
2n² + 2n - 12 = 0 in quadratic formula?
Answer:
Step-by-step explanation:
2n² + 2n - 12 = 0
in quadratic formula = n = 2, -3
[tex]2n^2+2n-12=0\\\\\implies n^2 +n-6=0\\\text{Apply quadratic formula,}~ n = \dfrac{-b \pm\sqrt{b^2-4ac}}{2a}. ~\\\\\text{In this case,}~ a=1,b=1, c= -6\\\\n=\dfrac{-1\pm\sqrt{1^2-4\cdot 1 \cdot -6}}{2\cdot 1}\\\\~~~=\dfrac{-1\pm\sqrt{1+24}}{2}\\\\~~~=\dfrac{-1\pm\sqrt{25}}{2}\\\\~~~=\dfrac{-1\pm5}{2}\\\\\text{Hence} ~ n=\dfrac{-1+5}{2} = 2 ~~\text{or}~~n = \dfrac{-1-5}2 = -3[/tex]