Four times the difference of 17 and a number is 84. Which equation below can be used to find the unknown number?

Answers

Answer 1

Answer: 4(17-n)=84, 17-n means the difference between 17 and a number multi that by 4 so the answer is 4(17-n)=84

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Create a quadratic polynomial function f(x) and a linear binomial in the form (x − a).Show all work to evaluate f(a) using the function you created.

Answers

our quadratic polynomial function is:

f(x) = 4x^2 + 2x + 5

our linear binomial form is:
x - a = -2
hence:
a = x + 2

and so we have:
f(x) = 4x^2 + 2x + 5
f(a) = 4(x + 2)^2 + 2(x + 2) + 5
= 4(x^2 + 4x + 4) + 2x + 4 + 5
f(a) = 4x^2 + 18x + 25

Solve the literal equation for y.

2x+5y = 3y+8

Answers

Answer:

y = -x +4

Step-by-step explanation:

2x+5y = 3y+8

Subtract 3y from each side

2x+5y-3y = 3y-3y+8

2x+2y = 8

Subtract 2x from each side

2x+2y -2x = -2x+8

2y = -2x+8

Divide by 2

2y/2 = -2x/2 +8/2

y = -x +4

One leg of an isosceles right triangle measures 5 inches. Rounded to the nearest tenth, what is the approximate length of the hypotenuse?a.) 2.5 inches b.) 5.0 inches c.) 7.1 inches d.) 9.8 inches