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sergey [27]
2 years ago
5

Identify the coordinates of the midpoint of AD, which has endpoints A(3,−2) and D(−5,4).

Mathematics
1 answer:
alexandr1967 [171]2 years ago
7 0

(-1,1) is what i got.

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Let $f(x)$ be a quadratic polynomial such that $f(-4) = -22,$ $f(-1)=2$, and $f(2)=-1.$ Let $g(x) = f(x)^{16}.$ Find the sum of
Murrr4er [49]

Answer:

The sum of the coefficients of the terms in (-1.5·x² + 0.5·x + 4)¹⁶ that have even degree is  -4273411167.501

Step-by-step explanation:

The parameters given are;

f(-4) = -22

f(-1) = 2

f(2) = -1

g(x) = f(x)¹⁶

The function f(x) is presented as follows;

f(x) = a·x² + b·x +c

We have;

-22 = a·(-4)² + b·(-4) +c

-22 = a·16 - 4·b +c ..............(1)

2 = a·(-1)² + b·(-1) +c

2 = a - b +c...........................(2)

-1 = a·(2)² + b·(2) +c

-1 = 4·a + 2·b +c...................(3)

Solving the equations (1), (2), and (3) by using an online linear systems solver, we get;

a = -1.5, b = 0.5, c = 4

Therefore, f(x) = -1.5·x² + 0.5·x + 4

f(x)¹⁶ = (-1.5·x² + 0.5·x + 4)¹⁶ which gives the coefficients of the even terms as follows;

656.841 - 19267.331 + 248302.054 - 1772904.419 + 6735603.932 - 2868054.635 - 119602865.901 + 750783340.827 + -2542435585.611 + 5338903756.992 - 6048065910.25 -1031335136 + 17223697920 - 32238338048 + 32107397120 - 17716740096 = -4273411167.501.

3 0
3 years ago
Which of the following is a composite number?
Sliva [168]

A look up what are composite numbers look at images and it will show you

3 0
3 years ago
Read 2 more answers
Which of these numbers is not rational?
leva [86]

Answer: A: \sqrt{3}

Step-by-step explanation:

The square root of 3 is an irrational number. It is also known as Theodorus' constant, after Theodorus of Cyrene, who proved its irrationality.

4 0
2 years ago
Read 2 more answers
If f(x) = x+3 and g(x) = VX-1,<br> what is (fºg)(26)?
scZoUnD [109]

Answer:

26V + 2

Step-by-step explanation:

This is the same as saying f(g(x)), where x = 26

First, lets figure out what g(x) is equal to when x = 26

g(26) = V(26) - 1 = 26V - 1

Now we input 26V - 1 into f(x) for x

f(26V-1) = (26V-1) + 3 = 26V + 2

8 0
2 years ago
Please help me solve this answer
satela [25.4K]

Answer:it is a

Step-by-step explanation:

because it is only one under 3 miles

7 0
2 years ago
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