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Veronika [31]
3 years ago
14

What is an approximate average rate of change of the graph from x = 12 to x = 15, and what does this rate represent? (4 points)

Mathematics
1 answer:
nirvana33 [79]3 years ago
4 0

Answer: first of all, i would put it in an equation. then i would slove that and use that answer.


Step-by-step explanation:  

use the equation <u>12X x 15 = y </u>

<u>12x=15</u>

12     12

x= 180

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You are buying a home for $158,950. You have an annual interest rate of 3.72% over the next 30 years. How much is the final cost
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Which sequence of transformations produces R’S’T’ from RST?
inn [45]

Answer:

A translation 2 units right and then a reflection over the x-axis

Step-by-step explanation:

The given vertices of ΔRST are R(0, 0), S(-2, 3), and T(-3, 1)

The vertices of triangle ΔR'S'T' are (2, 0), (0, -3), (-1, -1)

The points are plotted with the aid of MS Excel, and by observation, we have that the image of ΔRST is located on the other side of the x-axis with each coordinate on ΔR'S'T' shifted 2 units to the right of ΔRST

A translation of ΔRST 2 units right gives;

(0 + 2, 0) = (2, 0), (-2 + 2, 3) = (0, 3), and (-3 + 2, 1) = (-1, 1), to give;

(2, 0), (0, 3), and (-1, 1)

A reflection of the point (x, y) across the x-axis gives (x, -y)

A reflection of the above points across the x-axis gives;

(2, 0) reflected about x-axis → (2, 0) reflected about x-axis → (0, -3), and (-1, 1)  reflected about x-axis → (-1, -1), which are the points of ΔR'S'T'

Therefore, the sequence of transformations that produces R'S'T' from RST are;

A translation 2 units right and then a reflection over the x-axis

6 0
3 years ago
11. You pay $24.50 for 10 gallons of gasoline and one
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6 0
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Last week,the price of apples at a grocery store was 1.60 per pound.This week,apples at the same grocery store are on sale for a
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Answer:

The total price of 4\frac{1}{2}  pounds of apples is <u>$6.48</u>.

Step-by-step explanation:

Given:

Last week,the price of apples at a grocery store was 1.60 per pound.This week,apples at the same grocery store are on sale for a 10% discount.

Now, to find the total price of 4 1/2 pounds of apples this week at the grocery store.

The price of apples at a grocery store last week was = $1.60 per pound.

This week apples at the same grocery store is on sale of 10% discount.

Thus, the price of apples at a grocery store this week is:

1.60-10\%\ of\ 1.60.

=1.60-\frac{10}{100} \times 1.60

=1.60-0.16

=\$1.44.

So, the price of apples per pound this week is $1.44.

Now, to get the total price of 4\frac{1}{2} pounds of apples by using unitary method:

If 1 pound of apples cost = 1.44.

Then, \frac{9}{2} pound of apples cost = 1.44\times \frac{9}{2}

=1.44\times 4.5

=\$6.48.

Therefore, the total price of 4\frac{1}{2}  pounds of apples is $6.48.

4 0
3 years ago
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