Write h(x) = 7 + 10x + x2 in vertex form. write h in standard form. h(x) = x2 + 10x + 7 form a perfect square trinomial by adding and subtracting . h(x) = (x2 + 10x + 25) + 7 – 25 write the trinomial as a binomial squared. write the function in vertex form, if needed. what is h(x) = 7 + 10x + x2 written in vertex form?

h(x) = (x – 25)2 – 18

h(x) = (x – 5)2 + 32

h(x) = (x + 5)2 – 18

h(x) = (x + 25)2 + 32

h(x)=(x+5)^2-18

Step-by-step explanation:

we know that

A quadratic function (vertical parabola) written in vertex form is equal to

y=(x-h)^{2}+k

where

(h,k) is the vertex of the parabola

we have

h(x)=7+10x+x^2

Convert to vertex form

Group terms that contain the same variable, and move the constant to the opposite side of the equation

h(x)-7=x^2+10x

Complete the square. Remember to balance the equation by adding the same constants to each side

h(x)-7+25=(x^2+10x+25)

h(x)+18=(x^2+10x+25)

Rewrite as perfect squares

h(x)+18=(x+5)^2

h(x)=(x+5)^2-18 > equation in vertex form

The vertex is the point (-5,-18)

hey there!

if she's saving for six months, let's divide the total number we need for the trip by six, dividing it into the amount that needs to be saved for each month.

500 ÷ 6 =

she needs to save at least this amount each month, so we should use this symbol: ≥

let x be the amount she saves each month.

your final answer is x ≥

hope this !

step-by-step explanation:

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