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1 year ago

Help me with this question

Mathematics

1 answer:

aniked [119]1 year ago

3 0

Answer:

a) 150

b) 2650

Step-by-step explanation:

6% of 2500 is 150

150 + 2500 = 2650

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Need help with this math

WITCHER [35]

Answer:

13.6/1

Step-by-step explanation:

204/15

5 0

2 years ago

I will give u brainliest

spayn [35]

Answer:

Step-by-step explanation:

sqrt(85) is about 9.2, and the question asks to round to the nearest integer, making it 9. 9.2^2 is almost 85, which is how you can check your answer.

4 0

2 years ago

Quiz 4: Solving Inequalities

san4es73 [151]

Answer:

$15x+60\leq 100$

Step-by-step explanation:

Let

x -----> the number of hours that the painter works

we know that

The inequality that represented this situation is equal to

$15x+60\leq 100$

solve for x

Subtract 60 both sides

$15x\leq 100-60$

$15x\leq 40$

Divide by 15 both sides

$x\leq 40/15$

$x\leq 2.67\ hours$

The maximum number of hours is 2

3 0

2 years ago

10. Determine the open interval(s) on which the function f(x) = 12x - x^3 is increasing.

Gre4nikov [31]

Answer:

$\large\boxed{x\in(-2,\ 2)}$

Step-by-step explanation:

$f(x)=12x-x^3$

Calculate the derivative of the function:

$f'(x)=\left(12x-x^3\right)'=(12x)'-\left(x^3\right)'=12-3x^2$

Calculate the zeros of the derivative:

$f'(x)=0\Rightarrow12-3x^2=0\qquad\text{add}\ 3x^2\ \text{to both sides}\\\\3x^2=12\qquad\text{divide both sides by 3}\\\\x^2=4\to x=\pm\sqrt4\\\\x=\pm2$

Let's check the derivative sign:

$f'(x)>0\iff12-3x^2>0\qquad\text{use the distributive property}\\\\-3(x^2-4)>0\\\\-3(x^2-2^2)>0\qquad\text{use}\ a^2-b^2=(a-b)(a+b)\\\\-3(x-2)(x+2)>0\\^{\qquad x=2\qquad x=-2$