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2 years ago

8

Manny can paint the office by himself in 5 hours. Dave can do the same job in 8 hours. How long will it take them to do it work

ing together?

1 answer:

Alex Ar [27]2 years ago

3 0

Answer:

3 hrs 4.6 mins

Step-by-step explanation:

1/5 + 1/8 = 1/x

x = 40/13

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Which expression below gives the average rate of change of the function g(x)=-x^2-4x on the interval 6

Lapatulllka [165]

Answer:

The complete question is:

Which expression below gives the average rate of change of the function g(x)= -x^2 - 4x on the interval 6 < x < 8

When we have a function f(x), the average rate of change of this function in the interval a < x < b is given by:

$r = \frac{f(b) - f(a)}{b - a}$

Then if we have the function g(x) = -x^2 - 4x

and we want to find the average rate of change in the interval 6 < x < 8 we need to compute:

$r = \frac{g(8) - g(6)}{8 - 6} = \frac{(-(8^2) - 4*8) - (-(6)^2 - 4*6)}{2} = \frac{-96 - (-60)}{2} = \frac{-36}{2} = -18$

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3 years ago

(MATH) What is the reason for each step in the solution of the inequality?

Rama09 [41]

Step-by-step explanation:

Inequalities are solved just like equations the only difference is that the inequality sign has to be considered.

We are writing the steps with reason

So,

1. Given

$-38-3(x+5)>6x-17$

2. Distributive property:

$-38-3x-15>6x-17$

3. Combine like terms

$-3x-53>6x-17$

4. Subtraction property of order

$-3x-53-6x>-17$

$-9x-53> -17$

5. Addition property of order

$-9x> -17+53$

$-9x>36$

6. Division property of order

$x$

Keywords: Inequality, Properties

Learn more about inequalities at:

#LearnwithBrainly

7 0

3 years ago

The graphs below have the same shape. What is the equation of the graph of g(x)?

maw [93]

Answer:

A

Step-by-step explanation:

Given f(x) then f(x + a) is a horizontal translation of f(x)

• If a > 0 then a shift to the left of a units

• If a < 0 then a shift to the right of a units

Here g(x) is the graph of f(x) = x² shifted 4 units to the left, hence

g(x) = (x + 4)² → A

7 0

3 years ago

Read 2 more answers

Are these congruent or not:

SOVA2 [1]

No you don't know if the hypotenuse or the other leg are congruent

3 0

3 years ago

Read 2 more answers

The nth term of another sequence is n² + 7n

Romashka-Z-Leto [24]

Answer:

a(10) = 170

Step-by-step explanation:

Given that,

The nth term fo the sequence is :

a(n) = n² + 7n

We need to find the 10th term of the sequence.

Put n = 10 in the above sequence,

a(10) = (10)² + 7(10)

= 100 + 70

= 170

So, the 10th term of the sequence is 170.

8 0

3 years ago