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Mila [183]
3 years ago
11

What is h(x) =-3x2 - 6x + 5 written in vertex form?

Mathematics
2 answers:
sergeinik [125]3 years ago
6 0

Answer:

B

Step-by-step explanation:

MatroZZZ [7]3 years ago
5 0

Answer:

<em>h(x) = -3(x + 1)^2 + 8</em>

Step-by-step explanation:

<em>h=-3x^2-6x+5  subtract 5 from both sides</em>

<em />

<em>h-5=-3x^2-6x  divide both sides by -3</em>

<em />

<em>(5-h)/3=x^2+2x  halve the linear coefficient, square it, add it to both sides....</em>

<em />

<em>(2/2)^2=1 add 1 to both sides...</em>

<em />

<em>(5-h+3)/3=x^2+2x+1, now the right side is a perfect square...</em>

<em />

<em>(8-h)/3=(x+1)^2  multiply both sides by 3</em>

<em />

<em>8-h=3(x+1)^2  divide both sides by -1</em>

<em />

<em>h-8=-3(x+1)^2  add 8 to both sides</em>

<em />

<em>h=-3(x+1)^2+8</em>

h(x)= -3(x+1)^2+8

<em>BRAINLIEST PLS!!!</em>

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Factor completely<br> x^2 - 3x - 28
lbvjy [14]

Answer:

(x-7)  (x+4)

Step-by-step explanation:

x^2 - 3x - 28

What two numbers multiply to -28 and add to -3

-7*4 = -28

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(x-7)  (x+4)

5 0
2 years ago
Read 2 more answers
The price of the box of 15 stickers is $6. The price of the box of 25 stickers is $8. All prices are without tax, and the price
spayn [35]

<u><em>Answer:</em></u>

A box of 50 stickers would cost $13

<u><em>Explanation:</em></u>

<u>1- getting the equation representing the price:</u>

We have two variables; the number of stickers and the price of the box

We can note that the price is the dependent variable (y) while the number of stickers is the independent one (x)

<u>We are given that:</u>

A box of 15 stickers cost $6..........> first point is (15,6)

A box of 25 stickers cost $8 ........> second point is (25,8)

The general equation of the linear line is:

y = mx + c

where m is the slope and c is the y-intercept

<u>i. getting the slope:</u>

m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}=\frac{8-6}{25-15}=0.2

The equation now became: y = 0.2x + c

<u>ii. getting the y-intercept:</u>

To get the y-intercept, use any of the given points and substitute in the equation we got in part i. I will use the point (15,6)

y = 0.2x + c

6 = 0.2(15) + c

c = 6 - 0.2(15) = 3

<u>The final equation is:</u>

y = 0.2x + 3

where y is the price of the box and x is the number of stickers it contains

<u>2- getting the price of a box with 50 stickers:</u>

To get the price of a box of 50 stickers, simply substitute with x = 50 in the equation we got from part 1

<u>This is done as follows:</u>

y = 0.2(50) + 3 = 13

Therefore, a box of 50 stickers will cost $13

Hope this helps :)

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3 years ago
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julia-pushkina [17]
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