Answer:

Step-by-step explanation:
<u>step(i)</u>
Given function y = 3 x³ - 2 x ... (i)
Differentiating equation (i) with respective to 'x'

Given x = -2


<u><em>Step(ii):-</em></u>
<u><em>we know that </em></u>

Given 

substitute values
⇒ 
cross multiplication , we get

<u><em>Final answer</em></u>:-

The value is 333
<h3>How to determine the function</h3>
From the information given, we have:
- x = - 8
- 1/3*h(x) = x^2-5x+7
Now, let's substitute the value of 'x' in the function:
1/3*h(x) = x^2-5x+7
1/ 3 × h(-8) = ( - 8)² - 5 ( -8) + 7
Make 'h ( -8)' the subject of formula
h ( -8) = 
h ( -8) = 
Take the sum of the numerator
h ( -8) = 
Take the inverse of the denominator and multiply
h ( -8) = 111 × 3/ 1
h ( -8) = 333
We can see that through the substitute of the value of x as - 8, we get 333
Thus, the value is 333
Learn more about algebraic expressions here:
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Answer:

Step-by-step explanation:
To divide a fraction by a fraction, flip the second fraction and change the divide sign into a multiplication sign.

Multiply:


3/4 w = 9
multiply by 4/3 on both sides
4/3 x 3/4 w = 9 x 4/3
w = 9 x 4/3
Simplify that
w = 3 x 4
w = 12
So your final answer is
Given:
<span>mantle layer of earth begins about 70 kilometers underneath the surface
</span><span>outer core begins about 2970 kilometers underneath the surface
Since we need to find the position of each layer </span><span>relative to the surface, the surface will serve as the point of origin or 0. Below the surface infers a negative value. So, Mantle layer is -70 km from the surface while outer core is -2970 km under the surface.
Comparing -70 and -2970, -70 has a greater value than -2970. The nearer the number is to the origin or 0, the higher its value.
Comparing the absolute greater value of -70 and -2970, -2970 has a greater absolute value. This is because absolute value is the positive value of the number. Absolute value of -70 is 70 while absolute value of -2970 is 2970. Thus, -2970 has a greater absolute value. </span>