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marin [14]
3 years ago
5

Calculate the average rate of change for given function, from x=2 to x=7

Mathematics
1 answer:
LenaWriter [7]3 years ago
8 0
"When you calculate the average rate of change of a function, you are finding the slope of the secant line between the two points. f(x) = x2 and f(x + h) = (x + h) Therefore, the slope of the secant line between any two points on this function is 2x + h."
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Multiple Representations:Question 1
alexdok [17]

Answer:

y = 27.1

Step-by-step explanation:

We have the value of x:

x = 12

and we need to find the value of y in the expression:

y = x + 15.1

as we can see by the equation, the value of y depends on the value of x.

thus, we substitute x = 12 on the previous equation:

y = 12 + 15.1

y = 27.1

the value of y is 27.1

7 0
3 years ago
It's Mean Median Mode Range
Rufina [12.5K]

Answer:

I believe the median is 21

hope this helps

4 0
3 years ago
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Solve the simultaneous equation y-2x+1=0 and 4x^2+3y^2-2xy=7
Lapatulllka [165]

The first equation is y-2x+1=0

y=2x-1 (Equation 1)

The second equation is 4x^{2}+3y^{2}-2xy=7 (Equation 2)

Putting the value of x from equation 1 in equation 2.

we get,

4x^{2}+3(2x-1)^{2}-2x(2x-1)=7

4x^{2}+3(4x^{2}+1-4x)-4x^{2}+2x=7

by simplifying the given equation,

12x^{2}-10x-4=0

6x^{2}-5x-2=0

Using discriminant formula,

D=b^{2}-4ac

D=25-4 \times 6 \times -2 = 73

Now the formula for solution 'x' of quadratic equation is given by:

x=\frac{-b+\sqrt{D}}{2a}  and  x=\frac{-b-\sqrt{D}}{2a}

x=\frac{5+\sqrt{73}}{12}  and x=\frac{5-\sqrt{73}}{12}

Hence, these are the required solutions.

8 0
3 years ago
HELP! Area of a Trapezoid! 40 points!
kotegsom [21]
FIRST PROBLEM AS GENIUS!!!

The 45-45-90 triangle theorem states that each leg equals x, and the hypotenuse equals x \sqrt{2}. Using this, we can find that the height is 10. Take the average of the lengths to get l = 27. 

The area = 270. 
7 0
3 years ago
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the total price of 6 movie tickets is 71.40 if each ticket cost the same amount how much does one movie ticket cost
mr Goodwill [35]

Answer:

11.9

Step-by-step explanation:

71.40 divided by 6

7 0
3 years ago
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