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Brut [27]
3 years ago
6

Given f(x)=17-x2 , what is the average rate of change in f(x) over the interval (1, 5)?

Mathematics
1 answer:
gregori [183]3 years ago
5 0
It goes from (1,16) to (5,-8)
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thomas buys a cardboard sheet that is 8 by 12 inches. let x be the side lenghth of each cut out. create an equation for the volu
nikitadnepr [17]
Hi there! 

Lets dive into the problem, starting with the equation for volume; length x width x height.

If it's 8 x 12 inches, That means the height is 8 and the length is 12. The side, or width, would be x.

The equation should be 8 times 12 times x, or (8)(12)(x).
8 0
3 years ago
Select the equation that contains the point (4, -8), and in which the graph of the line has a positive slope.
BaLLatris [955]
Okay, let me just make this a little clearer. Hopefully, this is what you meant:

A. y - 8 = -4(x + 4)
B. y - 8 = 4(x + 4)
C. y + 8 = 4(x - 4)
D. y + 8 = -4(x - 4)

--

This can also be written as y2 - y1 = m(x2 - x1).

Your M is your slope. 

Both A and D have their m as a negative 4. Because you are looking for a positive slope, immediately cancel those answers.

* note that you could have also put them in a more standard form and discovered m which is the x in bx. 

Now, you are looking for an equation that contains (4,-8).

Because it is written as y2-y1, your y's are actually points if you were to find another slope or something. This part is a bit hard to explain, but -8 is only found in the y coordinate place in answer B. Your answer would be B. For more explanation on that, there's this great site called coolmath.com and if you search for finding the equation of two points, it explains it much better on there, but I would not want to plagiarize. 

The answer is B.


5 0
2 years ago
Of the five quadratics listed below, four of them have two distinct roots. The fifth quadratic has a repeated root. Find the val
musickatia [10]

Answer: 3/5

Step-by-step explanation: The fourth quadratic in the list is the square of a binomial:

25x^2 - 30x + 9 = (5x - 3)^2

Therefore, the repeated root of this quadratic is the solution to 5x - 3=0, which is 3/5

6 0
3 years ago
2x-4=-4x+6<br> What value of x makes the equation true<br> A x=5/3<br> B x=-5/3<br> C x=5<br> D x=-5
Rama09 [41]

Answer: 5/3

6x = 10

x=10/6

x=5/3

8 0
3 years ago
Read 2 more answers
1. 232 is 8 times the sum of Mark's and his sister's ages. His sister is 21. Find Mark's age.
AURORKA [14]

Answer:

a. 8 years

b. $49.20

Step-by-step explanation:

The computation is shown below:

a. The mark age is

Given that

232 is 8 times of the sum of mark and his sister ages

And, his sister is 21

So,

Let us assume the mark age be x

now

8(x + 21) = 232

x + 21 = 29

x = 29 -21

x = 8

b. The original price of the socks is

As each pair get $3 off

And she bought 6 pairs for $31.20

= $31.20 + 6 × $3

= $31.20 + 18

= $49.20

3 0
3 years ago
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