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ki77a [65]
3 years ago
14

The function h(x) = -x²+ 6x models the path of water in a fountain found in meters. The function represents the vertical distanc

e, h(x) as a function of the horizontal distance, x. Part A: what is the value of h(2)?
Mathematics
1 answer:
Rina8888 [55]3 years ago
3 0

Answer: 8

Step-by-step explanation: i did the test and used my big brain.

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Jenny asked 10 students how many courses they have taken so far at her collegeHere is the list of answers, 12, 10, 14, 7, 1, 19,
olga_2 [115]
60%, she asked 10 students and 6 of them had less than 16. 10/6= .6
5 0
3 years ago
What is the midpoint of the segment whose endpoints are 17,1 and -9,3
Veseljchak [2.6K]
Easy ill tell u and then do a equation first sense it has - it means u have to subtract alright it goes like this. 17,1
                                                    9,3
                                                   --------
                                                    7,8
and this is ur answer as u see in my equation ur welcome only give me brainiest only if im right 
5 0
3 years ago
Given that the expression 2x^3 + mx^2 + nx + c leaves the same remainder when divided by x -2 or by x+1 I prove that m+n =-6
Alla [95]

Given:

The expression is:

2x^3+mx^2+nx+c

It leaves the same remainder when divided by x -2 or by x+1.

To prove:

m+n=-6

Solution:

Remainder theorem: If a polynomial P(x) is divided by (x-c), thent he remainder is P(c).

Let the given polynomial is:

P(x)=2x^3+mx^2+nx+c

It leaves the same remainder when divided by x -2 or by x+1. By using remainder theorem, we can say that

P(2)=P(-1)              ...(i)

Substituting x=-1 in the given polynomial.

P(-1)=2(-1)^3+m(-1)^2+n(-1)+c

P(-1)=-2+m-n+c

Substituting x=2 in the given polynomial.

P(2)=2(2)^3+m(2)^2+n(2)+c

P(2)=2(8)+m(4)+2n+c

P(2)=16+4m+2n+c

Now, substitute the values of P(2) and P(-1) in (i), we get

16+4m+2n+c=-2+m-n+c

16+4m+2n+c+2-m+n-c=0

18+3m+3n=0

3m+3n=-18

Divide both sides by 3.

\dfrac{3m+3n}{3}=\dfrac{-18}{3}

m+n=-6

Hence proved.

7 0
3 years ago
Jen classifies the number 4.567 as an irrational number because it does not repeat. Is Jen correct? Explain.
lilavasa [31]

Answer:

Yes

Step-by-step explanation:

That number is irrational because it does not repeat and rational number repeats

3 0
3 years ago
Read 2 more answers
Perform the requested operation or operations.
alukav5142 [94]
f(x) = \frac{x-3}{5}
g(x) = 5x+3
g(f(x)) = 5(\frac{x-3}{5})+3 = x-3+3 = x

EDIT:
f(g(x))=\frac{(5x+3)-3}{5}=\frac{5x+0}{5}=\frac{5x}{5}=x
4 0
3 years ago
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