MATHEMATICS HIGH SCHOOL

ALGEBRA 1, SEMESTER 2What is the average rate of change of the function over the interval x = 0 to x = 8?

f(x)=2x+3/3x−3
Enter your answer, as a fraction

Answers

Answer 1
Answer:

Replace X with 0 and solve the equation, then replace x with 8 and solve the equation again.

Then find the difference between the 2 answers and divide that by the difference in the 2 X values.:


f(0) = 2(0) + 33(0) -3 = -3

f(8) = 2(8) +33(8) - 3 = 16 + 264 - 3 = 280-3 = 277

Difference: 277 - (-3) = 277+3 = 280


Difference between the X values 8 - 0 = 8


Average rate of change: 280 / 8 = 35

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. A tree casts a shadow that is 10 metres long. If the angle of elevation to the top of the tree from the ground at the end of the shadow is 60°, how high is the tree?

Answers

Answer:

Tree = 17.32 m

Step-by-step explanation:

Magda sold her car for $1,900. This was $300 less than twice the original purchase price. What was the original price of Magda's car? Let p represent the original price of the car.A .2p - 300 = 1,900; p = 1,100
B .300p = 1,900 + 2; p = 634
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D .2p = 1,900 - 300; p = 800

Answers

A is correct answer original price is 1100

Which equation has the same solution as x²- 6x - 12 = 0

Answers

Hey There Baby and, Welcome to Brainly 

Which equation has the same solution as x²- 6x - 12 = 0

 x^2 - 6x = 12 

x^2 -6x + 9 = 12+9 

x^2 -6x + 9 =21 

(x-3)^2 = 21

So the answer will be (x-3)^2=21 

Claire and her partner, Grace, are throwing for the javelin event as a team. Claire threw the javelin 42 ft. and Grace threw it 39 ft. How far did the team throw the javelin?

Answers

Answer:

42+39 or 81 feet

Step-by-step explanation:

add them up and you get 81 feet.

Hope this helps plz hit the crown :D

If f(c) = 0, which of the following statements must be true?A. The point (c,0) lies on the graph of f(x)
B. x - c is a factor of f(x).
C. c is a 0 for f(x).
D. All three statements are true.

Answers

For this case suppose we have a function of the form:

y = f (x)

Where,

x: independent variable

y: dependent variable

We have then that the value of the function for x = c is:

f (c) = 0

Therefore, we have that:

The point (c, 0) belongs to f (x)

x-c is a common factor of f (x) because the function evaluated at x = c is equal to zero.

x = c is a root of f (x) so c is a zero of the function f (x)

Answer:

D. All three statements are true.
Answer: D) All three statements are true.
Thank you.

Each time Jenny presses the tab key on the keyboard, the software reflects the logo she is designing across the x axis. Her cat steps on the tab key 25 times. In which quadrant does the logo end up. Explain.So that's all there is sorry if it's not clear but's its word for word

Answers

lol where do teachers find these types of problems XD
all jokes aside, let me explain.
so quadrants are numbered like this: 
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top left:2
bottom left:3
bottom right:4

and when you reflect something across an axis, it ends up in the quadrant opposite what it was in before. so If the logo is in quadrant 1 its first reflection will end up in quadrant 4.  repeat and it will end up in quadrant one again. in  other words if the number of times the tab key is hit is even, it will stay in the same quadrant. If it is odd it will end up in the quadrant opposite it. Since no quadrant number is given in the question we must assume that it just wants us to say whether it stays in the same quadrant or the one opposite it. In this case, because of what I said before, it would be in whatever quadrant was opposite the one it started in. Very badly worded question, but this is the only answer possible. Hope this helped! :) If you are still confused than just comment and I will try to help you out more. 
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