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arsen [322]
2 years ago
5

tions - Part 1 A relation is plotted as a linear function on the coordinate plane starting at point E (0, 27)(0, 27) and ending

at point F (5,−8)(5,−8) . What is the rate of change for the linear function and what is its initial value? Select from the drop-down menus to correctly complete the statements. The rate of change for the linear function is and the initial value is
Mathematics
2 answers:
frutty [35]2 years ago
7 0

Answer:

The initial value is -7 and the rate of change is 27

Step-by-step explanation:


stealth61 [152]2 years ago
4 0
We are given with
<span>E (0, 27)
</span><span>F (5,−8)

and we are asked to get the rate of change and the initial value:

To get the rate of change, we simply have to use the slope formula:
m = (-8 - 27) / (5 - 0) = -7
The rate of change is -7

The initial value is the value of y when x is 0 which is the coordinates of E. So, the initial value is 27.</span>
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A news organization previously stated that three of four people believed that the state of the economy was the country's most si
gizmo_the_mogwai [7]

Answer:

Option d)

H_{0}: p = 0.75\\H_A: p \neq 0.75

Step-by-step explanation:

We are given the following in the question:

Three of four people believed that the state of the economy was the country's most significant concern.

They would like to test the new data against this prior belief.

The null hypothesis will state that the three of four people believed that the state of the economy was the country's most significant concern.

The alternate hypothesis will state that this is not true. It states that people believed that the state of the economy was the country's most significant concern is not the same.

p =\dfrac{3}{4} = 0.75

We design the null and the alternate hypothesis  

H_{0}: p = 0.75\\H_A: p \neq 0.75

4 0
2 years ago
Four water tanks can hold a total of 432.4 gallons of water. On average, how much water can one tank hold? How much water is in
stellarik [79]
The answer is 432.4 gallons divided by 4 from which the answer is 108.1...
3 0
2 years ago
Read 2 more answers
ΔABC is dilated using a scale factor of 12 to produce ΔA'B'C'. Select all of the statements that apply to the transformation.
GalinKa [24]

Answer:

Options (3) and (6)

Step-by-step explanation:

ΔABC is a dilated using a scale factor of \frac{1}{2} to produce image triangle ΔA'B'C'.

Since, dilation is a rigid transformation,

Angles of both the triangles will be unchanged or congruent.

m∠A = m∠A' and m∠B = m∠B'

Since, sides of ΔA'B'C' = \frac{1}{2} of the sides of ΔABC

Area of ΔA'B'C' = \frac{1}{2}(\text{Area of triangle ABC})

Area of ΔABC > Area of ΔA'B'C'

Since, angles of ΔABC and ΔA'B'C' are congruent, both the triangles will be similar.

ΔABC ~ ΔA'B'C'

Therefore, Option (3) and Option (6) are the correct options.

3 0
2 years ago
a gardener makes a new circular flower bed. the bed is fourteen feet in diameter. Calculate the circumference and the area of th
meriva
49pi is area and 14pi is circumference, look up “area of a circle” in google and a calculator will pop up for you, all you do is type in the info and it’ll use the formula to find the answer
7 0
2 years ago
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Charlotte is redecorating the master bedroom in her house. She has already purchased a new bedroom set and also plans to paint t
jasenka [17]

Answer:

a. 30%

b. $893.59

c.

\frac{(351.10-x)}{893.59}\times 100\%

Step-by-step explanation:

a. Given that the carpet costs $427.35, the labor costs $212.52 and other flooring supplies costs $75.

#To get the  percent of the flooring bill that will go towards the cost of labor:

\%  labor\ cost=\frac{labor \ cost}{Total \ flooring \ cost}\times 100\%\\\\=\frac{212.52}{427.35+212.52+75}\times 100\%\\\\=\frac{212.52}{714.87}\times 100\%\\\\=29.73\%\approx30\%

Hence, labor costs 30% of the total flooring costs.

b.The total flooring costs is :

F_c=212.52+427.35+75\\\\=714.87

Given that she spends 25% more on furniture than on flooring, we multiply the flooring cost by 125% to get the furniture costs:

Furniture \ Cost= Flooring \ C\ost \times 125%\\\\=714.87\times 1.25\\\\=893.59

Hence, she spends $893.59 on furniture.

c.To get what percentage of  furniture cost was the night stand.

-Given the total furniture cost is $893.59:

Let x be the cost of the dresser and y the cost of the nightstand;

x+y=Furniture\  cost -Bed \ cost\\\\x+y=893.59-558.49=351.1\\\\y=351.1-x

The percentage is then calculated as:

\% cost \ of \ nightstand=\frac{cost \ of \ nighstand}{Furniture \ Cost}\times 100\%\\\\=\frac{351.10-x}{893.59}\times 100\%\\\\=\frac{(351.10-x)}{893.59}\times 100\%

Hnece the percentage cost of the night stand is \frac{(351.10-x)}{893.59}\times 100\%

7 0
2 years ago
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