MATHEMATICS HIGH SCHOOL

Which functions have an axis of symmetry of x = –2? Check all that apply.f(x) = x2 + 4x + 3
f(x) = x2 – 4x – 5
f(x) = x2 + 6x + 2
f(x) = –2x2 – 8x + 1
f(x) = –2x2 + 8x – 2

Answers

Answer 1

Answer:

Answer : $Answer :f(x) = x^2 + 4x + 3 \ and \ f(x) = -2x^2 - 8x + 1$

Given: axis of symmetry of x = –2

To find axis of symmetry we use formula $x =(-b)/(2a)$

We check which equation has axis of symmetry x= -2

(1) $f(x) = x^2 + 4x + 3$

a=1 , b=4 so axis of symmetry $x =(-4)/(2*1) = -2$

(2) $f(x) = x^2 - 4x - 5$

a=1 , b=-4 so axis of symmetry $x =(-(-4))/(2*1) = 2$

(3) $f(x) = x^2 + 6x + 2$

a=1 , b=6 so axis of symmetry $x =(-6)/(2*1) = -3$

(4) $f(x) = -2x^2 - 8x + 1$

a=-2 , b=-8 so axis of symmetry $x =(-(-8))/(2*(-2)) = -2$

(5) $f(x) = -2x^2 + 8x - 2$

a=-2 , b=8 so axis of symmetry $x =(-(8))/(2*(-2)) = 2$

So $f(x) = x^2 + 4x + 3$ and $f(x) = -2x^2 - 8x + 1$ has axis of symmetry x=-2

Answer 2

Answer: the answer is the first one and the fourth one

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According to the U.S. Bureau of Labor Statistics, the insurance industry is expected to grow _______________________ over the next 15 years.A. Faster than any other financial intermediary
B. faster than any other non-intermediary
C. Between 20-40%
D. Twice it's current size

Answers

The insurance industry is expected to grow between 20-40 percent in the next 15 years.

C. between 20-40% possibly

I don't really know.

Solve 400 mg =_?_ g

0.0004
0.004
0.04
0.4

Answers

$m=0.001\ some\ unit\n\n400\ mg=400\cdot0.001\ g=\boxed{0.4\ g}$

There are 1000 milligrams, or mg, in one gram, or g. Therefore, we have 400/1000=4/10=.4 grams in 400 milligrams. The fourth answer is the best one.

Solve the proportion $(X+1)/(3)$ = $(X)/(2)$ A).5
B).1
C).10
D).2

Answers

d.) 2 is the answer

i think

Factorise this
72-6x

Answers

72-6x Factorised is 6(12+-1x)

1 pound = 100 penny= 10 penny x 10 penny
= 1/10 pound x 1/10 pound
= 1/100 pound
= 1 penny

=> 1 pound = 1 penny
How is this possible if 1 pound = 100 pennies

Answers

$100penny\ isn't\ 10penny\ *\ 10penny\n\n100penny=10\ *\ 10penny\n-------------------\n\n10penny\ *\ 10penny=100penny^2!!!!$

Solve x2 − 8x + 5 = 0 using the completing-the-square method.x = negative four plus or minus the square root of eleven
x = four plus or minus the square root of eleven
x = negative four plus or minus the square root of five
x = four plus or minus the square root of five

Answers

Answer:

Option 2

Step-by-step explanation:

We have been given a quadratic equation $x^2-8x+5=0$

First step in completing method square is to make the coefiicient of $x^2$ 1

Since, in given quadratic equation coefficient of $x^2$ is already 1. we will proceed to the next step which is add and subtract square of the half of coefficient of x in given quadratic equation.

Here, half of coefficient of x that is 8 would be 4 so we will add and subtract $4^2$ in given quadratic equation we will get