Item 1

Solve for x.

x2+2=102

Enter the solutions for the equation in the boxes.

Item 2

Solve for x.

x² + 10x + 25 = 27

Item 3

Let x2+13x=−3 .

What values make an equivalent number sentence after completing the square?

Enter your answers in the boxes.

Item 4

Solve for x.

Use the completing the square method.

x² + 10x = 6

Item 5

How many, and what type of, solutions does 6x2−2x+7=0 have?

Item 6

Use the quadratic formula to determine the exact solutions to the equation.

6x2+4x−3=0

Item 7

Which strategy is the most appropriate strategy to solve x2−8x=242?

Item 8

For which equation does it make the most sense to solve by completing the square?

I have put the answers in the attachment below, but please do not cheat. Cheating is a crime for those who want to succeed. Use this as a check work list. You know what I have removed it that way you woulnd't use it. Sorry.

i dont understand the question? ?

step-by-step explanation:

answer: b. f(x) = (x + 2)^3 (x^2 - 7x + 3)^4

step-by-step explanation:

polynomials always have as many roots as their order. this is a 4th order polynomial- hence 4 roots!

complex roots of polynomials always come in pairs. the quadratic equation has the "+/-" in that will alwaysgenerate m+ni amd m-ni, so 7-2i must be a root of this polynomial equation.

the order of the numerator and denominator are both 2. so the horizontal asymptote is y=a2/b2 =7

verticle asymptotes are the forbidden x-values. f(x) becomes undefined at x=-3 because this value will cause a zero denominator.

a graph of r(x) will have vertical asymptotes at ±1 because these values will make the denominator zero. so the domain of the function cannot include ±1.

you 're wlecome! : )

cretdit to source

d. 24+-0.114

step-by-step explanation:

the question requires us to calculate the approximate 95% confidence interval for the mean number of ounces of ketchup per bottle in the sample given the following statistics;

sample mean = 24

standard deviation, σ = 0.4

sample size , n = 49

the confidence interval for a population mean is calculated using the formula;

sample mean ± z-score*(σ/sqrt(n))

the z-score associated with a 95% confidence interval, from the standard normal tables, is;

1.96

substituting these values into the formula;

24 ± 1.96*(0.4/7)

= 24 ± 0.112

from the alternatives given, choice d is closest to the above expression;

answer: bea's uncle is 25 years old.

step-by-step explanation:

given the equation , we can say that the variable "x" represents the age of bea's uncle. then to find his age, we need to solve for "x":

we must add 15 to both sides of the equation:

now we need to divide both sides of the equation by 3:

therefore, we can conclude that bea's uncle is 25 years old.