All categories

2 years ago

What’s the vertex of #8 ? Please help!!!!

Mathematics

1 answer:

ANTONII [103]2 years ago

6 0

$y = x^2 + 2x + 1$

It's already a square; we don't need to add anything to complete the square.

$y = (x + 1)^2$

That's a vertex at x = -1. The corresponding y is y=0.

Answer: Vertex at (-1,0)

As for the other questions cut off there, the axis is the vertical line x = -1 and the range is y ≥ 0.

You might be interested in

Write h(x)=x2-6x + 3 in vertex form

Anna007 [38]

Answer: The vertex form is h(x)=(x-3)^2-6

Step-by-step explanation:

Using the complete the square method, first complete any squares

X^2-6x+(-3)^2-(-3)^2+3

Use the binomial formula

(x-3)^2 - (-3)^2 +3

Simplify

(x-3)^2-6

7 0

2 years ago

Rex earns $9.50 per hour working part-time. He worked 10.5 hours each week for two weeks. What was the total amount rex earned f

agasfer [191]

Answer: 199.5

Step-by-step explanation: 9.5 x 10.5 hours x 2 weeks

3 0

2 years ago

Rhonda bought five shirts from a

densk [106]

Answer:

Option C $10+5x=24+3x$

Step-by-step explanation:

Let

x ------> the cost of each shirt

we know that

The cost of 5 shirts plus $10 (amount of money that would remain) must be equal to the cost of 3 shirts plus $24 (amount of money that would remain). Considering that the cost of the shirts is the same

The linear equation that represent this scenario is

$10+5x=24+3x$

Solve for x

$5x-3x=24-10$

$2x=14$

$x=\$7$

8 0

2 years ago

?/1<br> What percent of 29 is 3? Round to the nearest tenth of a percent.

Marina CMI [18]

Answer:

10.34%

Step-by-step explanation:

29×x%=3

X=10.34%

7 0

2 years ago

A 4. 9-mm-wide swimming pool is filled to the top. The bottom of the pool becomes completely shaded in the afternoon when the su

cestrela7 [59]

The depth of the swimming pool that is filled to the top is; 4 m

<h3>Snell's Law</h3>

I have attached a schematic diagram showing this question.

The correct width of the pool is 4 meters. Thus; w = 4 m

Incident Angle; θ₁ = 20°

A right angle is 90° and so the angle θ₂ is calculated from;

θ₂ = 90° - θ₁

θ₂ = 90° - 20°

θ₂ = 70°

We can use snell's law formula to find θ₃.

Thus;

n₁sinθ₂ = n₂sinθ₃

where;

n₁ is refractive index of air = 1

n₂ is refractive index of water = 1.33

Thus;

1*sin 70 = 1.33*sin θ₃

sin θ₃ = (sin 70)/1.33

Solving this gives;

θ₃ = 44.95°

By usage of trigonometric ratios we can find the depth of the pool using;

w/d = tan θ₃

Thus;

d = w/(tan θ₃)

d = 4/(tan 44.95)

d ≈ 4 m

Read more about Snell's Law at; brainly.com/question/10112549

6 0

2 years ago