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katrin2010 [14]

4 years ago

12

What are the side lengths of a rectangle that has 8 square units and a perimeter of 12 units

1 answer:

telo118 [61]4 years ago

3 0

The longest two sides will be 4 each and the shortest two sides will be 2 each

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Two workers produced 86 parts during their working shift. The first worker produced 15% more parts than the second one. How many

vaieri [72.5K]

You can set this up as an equation
Worker 1 produces x parts
Worker 2 produces x+0.15x parts (0.15x is 15% of x)
Thus the equation would be
x+x+0.15x=86
You can solve that for x, which will be the number of parts worker 1 produces
x=40
now we can solve for what worker 2 produces
40+0.15(40)=46 (**since there are two workers, you could also just subtract the parts produced by worker 1 from the total number)

so,
worker 1 produces 40 parts and worker 2 produces 46 parts

5 0

3 years ago

Calculate the average rate of change of function on the interval (a,a+h). simplify your expression.Show all steps.

sammy [17]

Answer:

Please check the explanation.

Step-by-step explanation:

Given the function

$f\left(x\right)=\frac{3x+2}{2x-1}$

at x₁ = a,

$f\left(x_1\right)=f\left(a\right)=\frac{3a+2}{2a-1}$

at x₂ = a+h,

$f\left(x_2\right)=f\left(a+h\right)=\frac{3\left(a+h\right)+2}{2\left(a+h\right)-1}$

Using the formula to determine the average rate of change

Average rate = [f(x₂) - f(x₁)] / [ x₂ - x₁]

$=\:\frac{\frac{3\left(a+h\right)+2}{2\left(a+h\right)-1}-\frac{3a+2}{2a-1}}{a+h-a}\:\:\:\:\:\:\:$

as a+h-a = h, so

$=\frac{\frac{3\left(h+a\right)+2}{2\left(h+a\right)-1}-\frac{3a+2}{2a-1}}{h}$

Thus, the everarge rate of chnage: $\frac{\frac{3\left(h+a\right)+2}{2\left(h+a\right)-1}-\frac{3a+2}{2a-1}}{h}$

We can further simplify such as:

$=\frac{\frac{3\left(h+a\right)+2}{2\left(h+a\right)-1}-\frac{3a+2}{2a-1}}{h}$

$=\frac{-\frac{7h}{\left(2a-1\right)\left(2\left(h+a\right)-1\right)}}{h}$

$=-\frac{\frac{7h}{\left(2a-1\right)\left(2\left(h+a\right)-1\right)}}{h}$

$=-\frac{7h}{\left(2a-1\right)\left(2\left(h+a\right)-1\right)h}$

Cancel the common factor h

$=-\frac{7}{\left(2a-1\right)\left(2\left(h+a\right)-1\right)}$

6 0

3 years ago

Want 39 points?/ simple question! check image!!!!!!!!

sp2606 [1]

this is an explanation!

hope.it helped

6 0

3 years ago

How to solve -6x-5y=18<br> -5×+2y=22

Orlov [11]

-5 x 2y = 22
2y = 22 / -5 which is -4.4
y = -2.2
Substitute:
-6x + 11 = 18
-6x = 7
x = 7 / -6

6 0

3 years ago

4 in.<br> 9 in.<br> 12 in.<br> 3 in.<br> 4 in.<br> 6 in.

IgorC [24]

Answer:

$\tt v=336\:in^3$

Step-by-step explanation:

$\tt v=(4)(12)(4)+(3)(4)(2)$

$\tt v=336\:in^3$

~

7 0

2 years ago