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mariarad [96]
3 years ago
5

Could I have gotten this right or is this wrong

Mathematics
1 answer:
insens350 [35]3 years ago
5 0
You are very correct
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What is the average rate of change for the function f(x)=x^2+4 for the domain of -2 to 4
Neko [114]

Answer:

  2

Step-by-step explanation:

For a quadratic function the average rate of change on an interval is the rate of change at the midpoint of the interval. The rate of change of a function is given by its derivative.

The derivative of f(x) = x^2 is f'(x) = 2x. The midpoint of the interval is (4+(-2))/2 = 1. Then the average rate of change is ...

  f'(1) = 2(1) = 2

The average rate of change of f(x) on [-2, 4] is 2.

__

<em>Alternate solution</em>

The average rate of change is the slope of the line between the end points of the interval:

  m = (y2 -y1)/(x2 -x1)

  m = (f(4) -f(-2))/(4 -(-2)) = (20 -8)/(6) = 2

The average rate of change on [-2, 4] is 2.

_____

The attached graph shows the points on the curve and a line with slope 2 between them. It also shows the various slope calculations.

5 0
3 years ago
Determine which of the following expressions can be factored to (x+ 2)(x +2)
inna [77]

(x+2)(x+2)

x^2+2x+2x+4

x^2+4x+4

Answer : C ( x^2+4x+4)

6 0
3 years ago
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11. A man is buying a lot which measures 7,860 square meters. How many
goblinko [34]

Answer:

C. 786,000 hectare

Step-by-step explanation:

This question can be solved by proportions, using conversion of units.

Each hectare has 10 000 square meters.

So 7,860 square meters is equal to:

7,860*10000 =  786,000 hectares

The answer is given by option C.

4 0
3 years ago
I need help on the stared ones( I WILL MAKE YOU BRAINIEST)!
WINSTONCH [101]

Answer:

Step-by-step explanation:

bottom left is 13a + 2b

bottom right is 15y - 6

4 0
3 years ago
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If the measure of angle A is 40 degrees and the length of side b is 15 inches, which can be the length of side a if it is possib
Julli [10]
This is the concept of trigonometry, to get the possible length of side a we use the sine rule which states that:
a/sin A=b/sin B=c/sin B
where;
a,b and c are the sides
A,B and C are the angles
thus the value of A could be as follows;
assuming the triangle is an isosceles triangle, the base angles will be:
(180-40)/2=70
thus;
15/sin 70=a/sin 40
a=(15sin40)/sin70
a=10.26 inches
thus the possible size of a=10.26 inches
8 0
3 years ago
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