Write y=x^2-18x+83 in vertex form. Then identify the vertex.

Answers

Answer 1

Answer:

Answer:

$\boxed{\bold{f(x)=(x-9)^2+2}}$

Step-by-step explanation:

$f(x)=a(x-h)^2+k\qquad\qquad h=(-b)/(2a)\,,\ \ k=f(h)\n\n\nf(x)=x^2-18x+83\quad\implies\quad a=1\,,\ b=-18\n\nh=(-(-18))/(2\cdot1)=(18)/(2)=9\n\nh=f(3)=9^2-18(9)+83=81-162+83=2\n\n\n \underline{f(x)=(x-9)^2+2}$

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Point M is the midpoint of segment QR. If QM = 16 + x and MR = 2(x + 2), find the length of QM.

Answers

just add them
QM+MR=QR
16+x+2(x+2)=QR
16+x+2x+4=QR
20+3x=QR

Computer Craft pays its sales associates a 15% commission on every sale. Barry sold a laptop computer for $1,900 and a printer for $300.How much money did Barry earn on the sale of the items?

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$330.00 is how much money Barry earned on the sale of the items

How many permutations can be made of the letters of the word "radar" when taken all at a time?

Answers

The number of permutations can be made of the letters of the word "radar" when taken all at a time is 30.

What is Permutation?

This is defined as ways in which n things can be arranged, taken all at a time.

P(n,r) = n!/(n-r)!

Radar has 5 words with 2r , 2a and 1d which means

5! / 2! 2! 1!

5! = 5×4×3×2×1 = 120

2! 2! 1! = 4

120/4 = 30

Read more about Permutation here brainly.com/question/1216161

A fair was attended by 834,009 people. Round the number to the nearest ten thousand.

Answers

A fair was attended by 834,009 people

Rounding up this number of people to nearest ten thousand.

9 has a 'ones' value

Going to the right from left:

Second last zero has a 'tens' value.

Third from last zero has a 'thousands' value

4 has 'ten thousands' value

Round up 4 and because it is less than five it converts to zero

This gives an answer of 830,000.

What is the first step in writing f(x) = 3x2 + 6x – 8 in vertex form?A.Factor out 3 from each term.
B.Form a perfect square trinomial by keeping the value of the C.function equivalent.
D.Write the trinomial as a binomial squared.
E.Factor out 3 from the first two terms.

Answers

The first step in writing f(x) = 3x² + 6x - 8 in vertex form is

E. Factor out 3 from the first two terms.

f(x) = 3x² + 6x - 8
f(x) = 3(x² + 2x) - 8
f(x) + 8 = 3(x² + 2x + __)
f(x) + 8 + 1 = 3(x² + 2x + 1)
f(x) + 9 = 3(x+1)²
f(x) = 3(x+1)² - 9

Answer:

Factor out 3 from the first two terms.

Step-by-step explanation:

What is the value of y in the equation 4(5y –8 –2) = 185 –15?

Answers

In an equation the Left hand side must equal the right hand side 4(5y-8-2)=185-15 20y-32-8=170 20y=170+32+8 20y=210 Therefore y=10,5 When you substitute the 10,5 and solve it on the left and side it's equal to 170 which is the answer on the right hand side

Answer: 10.5

Step-by-step explanation:

I know this cause I'm smart lol

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