3 years ago

The sum of two numbers is 25. Their difference is 7. Find the numbers.

Mathematics

1 answer:

antoniya [11.8K]3 years ago

7 0

Answer:

The writing isn't clear though hope it helps

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Find the average rate of change of f ( x ) = 9 x 2 − 7 on the interval [ 2 , a ] . Your answer will be an expression involving a

aleksandrvk [35]

Answer:

9a + 18

Step-by-step explanation:

so the first step is to evaluate the value of f(2).

$f(2) = 9(2)^2-7\\f(2)=9(4)-7\\f(2)=36-7\\f(2)=29$

Now that we have this value we can use the slope formula (y2 - y1) / (x2 - x1) where y2 is f(a), y1 is 29, x2 is a, and x1 is 2

$\frac{f(a)-29}{a-2}\\\\\frac{(9a^2-7)-29}{a-2}\\\frac{9a^2-36}{a-2}$

Now from here we can use long division to simplify it further

$9a^2/a = 9a\\9a(a-2)=9a^2-18a\\(9a^2-36)-(9a^2-18a)\\18a-36\\\\18a/a=18\\18(a-2)=18a-36\\(18a-36)-(18a-36)\\0\\\\9a+18$

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2 years ago

Donna earns $1,404 per week at her job. However, 19% of her income gets taken out in taxes, and 12% of her income gets taken out

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Answer:

Step-by-step explanation:

A reasonable estimate of the amount Donna is left with each week after the money is deducted: $980. 1404*.19=266.76 ; 1404*.12=168.48 ; 1404-266.76-168.48=968.76 or estimated as $980.

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2 years ago

What is the slope of the line on the graph?

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Answer:

slope = $\frac{1}{2}$

Step-by-step explanation:

Calculate the slope m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (- 4, 0) and (x₂, y₂ ) = (0, 2) ← 2 points on the line

m = $\frac{2-0}{0+4}$ = $\frac{2}{4}$ = $\frac{1}{2}$

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Answer:

Step-by-step explanation:

7 - 3 = 4

4/2 = 2

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