When the function is given in vertex form y = a(x-h)? + k, how is the vertex found?
a. (kh)
b. (x,y)
c. (h,k)
d. (y,x)

Answer:

most likely 12, because you can take half of the time with double the people.

Step-by-step explanation:

I hope this helped!

Answer:

[tex](-9.5,2.63)[/tex]

Step-by-step explanation:

In essence, this problem asks one to find the vertex of the given equation. An easy way to find the vertex of a quadratic equation in standard form is to complete the square.

Completeting the square involves grouping the quadratic and linear term, then factoring out the coefficient of the quadratic term. After doing so, one will add a term to make the grouped terms a perfect square trinomial and then balance the equation. Finally, one will simplify the equation and get the quadratic equation in vertex form. From there, finding vertex is quite easy, the x-coordinate is the additive inverse of the quadratic term, and the y-coordinate is the constant.

Once a quadratic equation in standard form has been converted to vertex form by the process of completing the square, its equation is amongst the lines of the following,

[tex]a(x-k)^2+h[/tex]

(k, h) is the vertex of the parabola.

The quadratic equation in standard form,

[tex]2x^2+19x+42.5[/tex]

Group the quadratic and linear terms,

[tex](2x^2+19x)+42.5[/tex]

Factor out the coefficient of the quadratic term,

[tex]2(x^2+9.5x)+42.5[/tex]

Add a term to make the grouped part a perfect square trinomial, then balance the equation,

[tex]2(x^2+9.5x+22.5625)+42.5-2(22.5625)[/tex]

Simplify,

[tex]2(x^2+9.5x+22.5626)+42.5-45.125[/tex]

[tex]2(x+9.5)^2+2.625[/tex]

The vertex of the equation is the following,

[tex](-9.5,2.625)[/tex]

Rounded,

[tex](-9.5,2.63)[/tex]

The percentage increase from the initial population of 397,000 to 412,880 is 4%

From the question, we have the following numbers:

397,000 and 412,880.

The numbers are increments from 397,000 to 412,880.

The percentage increase is calculated as:

%Percentage = (Old number - New number)/Old Number

Substitute the numbers in the above equation

%Percentage = (412880 - 397000)/397000

Evaluate the difference

%Percentage = 15880/397000

Evaluate the quotient

%Percentage = 0.04

Express 0.04 as percentage

%Percentage = 4%

Hence, the percentage increase from the initial population of 397,000 to 412,880 is 4%

Read more about percentage increase at:

https://brainly.com/question/11360390

#SPJ1

Given:

The sum of 85 + w is less than or equal to 6 multiplied by y.

To find:

The inequality for the given situation.

Solution:

We know that,

The sum of 85 and w means "85+w".

Less than or equal means "≤".

6 multiplied by y means "6y".

So, the inequality for the statement "the sum of 85 + w is less than or equal to 6 multiplied by y", is:

[tex]85+w\leq 6y[/tex]

Therefore, the correct option is A.

Answer:

All most there. buddy:-)

Answer:

94.25 feet

Step-by-step explanation:

we can use the formula for the circumference of the circle to determine the diameter of the ferris wheel.

Answer:2.8

Step-by-step explanation:

2.8

Answer: See explanation

Step-by-step explanation:

Population in 2000 = 15,982,378

Land area = 54,252 square miles

The population density in 2000 will be:

= Population / Land area

= 15982378 / 54,252

= 294.60people per square miles

Since the population increased by 26.8% in 2015, the population in 2015 will be:

= 15,982,378 × (100% + 26.8%)

= 15,982,378 × 126.8%

= 15,982,378 × 1.268

= 20,265655

The population density in 2015 will be:

= Population / Land area

= 20,265655 / 54,252

= 373.55 people per square miles

The increase in population density from 2000 to 2015 will be:

= 373.55 - 294.60

= 78.95

Answer:

0.1°

Step-by-step explanation:

Okay so, a circle is 360° and the circle is divided into 3600 parts. So, to find the measurement of one of those angles, we would do 360°/3600= 0.1°.

Answer: y= [tex]\sqrt[3]{5}[/tex]

Step-by-step explanation:

Answer:

See Explanation

Step-by-step explanation:

Given

[tex]Allen = \frac{3}{4}hr[/tex] less than the most hour

Required

Hours read by Miss Allen

The question is incomplete, as the hours read by each student is not given.

To solve this, I will assume that the longest hours read by a student is x.

So, the expression for Miss Allen will be:

[tex]Allen = x - \frac{3}{4}hr[/tex]

Assume that [tex]x = 1hr[/tex]

The expression becomes

[tex]Allen = 1hr - \frac{3}{4}hr[/tex]

Take LCM and solve

[tex]Allen =\frac{4 - 3}{4}hr[/tex]

[tex]Allen =\frac{1}{4}hr[/tex]

Answer:

The answer is "Option A".

Step-by-step explanation:

Please find the complete question in the attached file.

In the given question, the cone and cylinder shapes both have one circular face at least a cone has one, and the cylinder has two common points.

Answer:

L = a √( 4 + 2√2)

Step-by-step explanation:

L = a √( 4 + 2√2) is the equation which can be used to calculate the length of each side of the octagon. In the equation i.e. L = a √( 4 + 2√2), in which ''a'' is the length of each side of the octagon. So by putting of ''a'' we get the length of each side of the octagon. The octagon is regular means all of its sides and angles are congruent or similar to each other. Each angle in the octagon has a measure of 135 degrees.

Answer: I belive b, I could be wrong  tho.

Step-by-step explanation:

Answer:

I think that the answer is B

Answer:

please dont use the r slur :)) and if you care so much about your grades, heres an idea!! study on your OWN and dont rely on others

Step-by-step explanation:

Answer:

$32.60

Step-by-step explanation:

This question has to to do with exponential decay. The formula is given as:

y = a(1 - r)^x

y = Value of the material after x years

a = Initial value of the material

x = Time in years

r = rate of depreciation or decay

Therefore,

y = 4500 × (1 - 0.28)¹⁵

y = 4500 × 0.72¹⁵

y = $32.598675906

y = Approximately = $32.60

Therefore the of the car after 15 years = $32.60

Answer:

F

you have to set it up as an equation then solve

Set end gulf g if NC gba has 4th s 3 eggs $"4 runs they've eggs her Seth w if rid the ms has hehe he na na

Answer:

tangent is a line passing a circle and tuching it at just 1 point

Step-by-step explanation:

========================================================

Explanation:

The notation [tex]a_1[/tex] refers to the first term. So the first term is 21.

The d = -3 is the common difference. It's the value we add onto any given term to get the next following term.

We can say:

second term = (first term) + (common difference)

second term = [tex]a_1 + d[/tex]

second term = 21 + (-3)

second term = 18

Through similar steps, you should find that the third term is 15, the fourth is 12, and so on. Each time we decrease by 3.

The arithmetic sequence would be: 21, 18, 15, 12, 9, ...

The first three terms are 21, 18, and 15.

Answer:

A) -15

Step-by-step explanation:

Answer:

A. - 15

Step-by-step explanation:

Got it right

Answer:

Domain: {-3, -1, 0, 3}

Step-by-step explanation:

{(-3, 4), (-1,3), (0, 4), (3, 6)}

Domain is just the x values so:

Domain: {-3, -1, 0, 3}

Answer:

how do i see your questions?

Step-by-step explanation:

Answer:

If you are finding the volume the answer is (3x4)x4

Step-by-step explanation:

Formula for the volume of a rectangular prism is length times width times height

Answer:

it would be 13.25 or A.

Step-by-step explanation:

:)