How do I find the vertex of the equation y= (x+7)^2 - 5 ?

Answers

Answer 1

Answer: Follow through with the function (x+7)²
(x+7)² is the same as (x+7)(x+7).
You get x² + 14x + 49
Plug it back into the equation to get
y=x² + 14x + 49 - 5, which equals y=x² + 14x + 44
The formula for the x point in the vertex is -b/2a. (a is x² and b is x)
So -14/2 = -7 = x
Plug this into the equation.
y=-7² + 14(-7) + 44
y=49 - 98 + 44
y=-5

(-7, -5)

I apologize for the error beforehand--I typed 49 instead of 44 and ended up with 0 instead of -5.

Answer 2

Answer: If you have an equation in the vertex form $y=(x-h)^2+k$ the vertex is $(h,k)$

In your case $h=-7,k=-5$ so the vertex is $(-7,-5)$

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2(2+3)+4x=2(2x+2)+6 how many solutions?

Answers

Answer:

step by step

if you add them up they equal each other.

Answer:

Infinitely many solutions

Step-by-step explanation:

10+4x=4x+4+6

10+4x=4x+10

4x=4x

0=0

Infinitely many solutions

Solve using the substitution method 2x+3y=1 y=x-8

Answers

subsitute

y=x-8
since y=x-8, subsitute x-8 for y

2x+3(x-8)=1
distribute (a(b+c)=ab+ac)
3(x-8)=3x-24

2x+3x-24=1
combine like terms
5x-24=1
add 24 to both sides
5x=25
divide 5
x=5
subsitute
y=x-8
y=5-8
y=-3

x=5
y=-3 is solution
in (x,y) forom
(5,-3) is the solution

I will try to solve your system of equations.y=x−8;2x+3y=1Step: Solvey=x−8for y:Step: Substitute x−8 for y in 2x+3 y=1:2x+3y=12x+3(x−8)=15x−24=1 (Simplify both sides of the equation)5x−24+24=1+24 (Add 24 to both sides)5x=255x5=255 (Divide both sides by 5)x=5Step: Substitute 5 for x in y=x−8:y=x−8y=5−8y=−3(Simplify both sides of the equation)Answer:y=−3 and x=5

A circle has a radius of 11 cm. What is the approximate area of the circle? Use 3.14 to approximate pi. Write the answer to the nearest hundredth.

Answers

area of a circle is pi x r x r
then you substitute the numbers in
therefore you would get 3.14 x 11 x 11 = 379.994
to the nearest hundredth degree would to 379 cm squared because you are finding the area so you put a small 2 above the cm
the person above has done it wrong as they have halved the radius but you only have the diameter to get the radius and they have used the wrong equation

Which inequality's graph will have a dashed boundary line?a x + 7y > 3

b 7x + y ≤ 3

c 6x − 5y ≥ 4

d y − x ≤ 3

Answers

dashed lines are having < or >

answer is A

In a True/False question, two negatives will cancel each other out.
a. True
b. False

Answers

True, two negatives will cancel each other out, the correct option is a.

By the mathematical notation rule we know that,

(+) × (+) = (+)

(-) × (+) = (-)

(+) × (-) = -

(-) × (-) = +

Therefore, the given statement is true.

Learn more about mathematical notation here:

brainly.com/question/30118799

#SPJ4

the answer is A. True. Good luck.:)

A baseball team played 54 games this season. They loss 18 games this season. What is the team's wins to losses ratio

Answers

The ratio would be 2:1 because if there are 18 losses and a total of 54 games, 54-18 is 36 and 36:18 is simplified to 2:1.

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