Consider the equation of parabola y = 5x - 30x + 45.
Its vertex is located at
( , )

Consider The Equation Of Parabola Y = 5x - 30x + 45.Its Vertex Is Located At( , )

Answers

Answer 1

Answer:

(3, 0 )

Step-by-step explanation:

Given a parabola in standard form

y = ax² + bx + c (a ≠ 0 )

Then the x- coordinate of the vertex is

[tex]x_{vertex}[/tex] = - [tex]\frac{b}{2a}[/tex]

y = 5x² - 30x + 45 ← is in standard form

with a = 5, b = - 30 , then

[tex]x_{vertex}[/tex] = - [tex]\frac{-30}{10}[/tex] = 3

Substitute x = 3 into the function for corresponding value of y

y = 5(3)² - 30(3) + 45 = 45 - 90 + 45 = 0

vertex = (3, 0 )

Answer 2

Answer:

Vertex is (3,0)

Step-by-step explanation:

Given y= 5x^2 - 30x + 45

         y    = 5 ( x^2 - 6x + 9)

               = 5 ( x -3 )^ 2 + 0

Standard formula of parabola is y = a(x - k)^2 + k where vertex is (h,k)

Here, h = 3 and k = 0

So,  Vertex is ( 3, 0)


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Step-by-step explanation:

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how many units of meters make a kilometer?

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ANSWER: 1000m


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..
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Answer:

m∠ABC = 42°

Step-by-step explanation:

5x + 13 + 3x + 33 = 70

8x + 46 = 70

8x = 24

x = 3

m∠ABC = 3(3) + 33 = 42

What's the constants of 5x + 4 + 7x

Answers

the constant / the answer is 4

Answer:

4

Step-by-step explanation:

the constant is a number that never changes

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Answer:

right i hate that so much

Step-by-step explanation:

Answer:

I feel the same though. So no need to feel bad. I hope you don't get scammed by anymore of them. BTW I have some more information on them on some of my questions if you wanna look. :) If they are still there though. Lol...

What's the circumference of a circle with a radius of 10 inches

Answers

Answer:

5

Step-by-step explanation:

5

Mr. Weaver has 36 history students. The ratio of girls to boys is 2:1. How many girls does he have in his class?​

Answers

Answer:

24 girls

Step-by-step explanation:

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2:1

Just a bit help here, heh... -8a^0?

Answers

Answer:

-8 is the answer

Step-by-step explanation:

BCos any number or letter raised to the power zero is 1

-8*a⁰

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A publisher sells
[tex] {10}^{6} [/tex]
copies of a new science fiction book and
[tex] {10}^{3} [/tex]
copies of a new mystery book. How many times as many science fiction books were sold than mystery books?

_ books​

Answers

Answer is above me tap the photo bro!

Petra is making donuts by stamping circles in dough using a pastry stamp with a diameter of 3 inches. For the donut hole, she stamps out a circle using a pastry stamp that has a diameter of 1 inch.

How many square inches of dough are left to make the donut after the hole has been removed?

Answers

Answer:

2 inches would be left

Step-by-step explanation:

What is the solution to this inequality?
4(2x + 2) + 12 > 100

Answers

Answer:

I love algebra anyways  

the ans is in the picture with the steps  

(hope it helps can i plz have brainlist :D hehe)

Step-by-step explanation:

Pyramid A has a triangular base where each side measures 4 units and a volume of 36 cubic units. Pyramid B has the same height, but each side of its base is 6 units long.

Answers

Answer:

The volume of pyramid B is 81 cubic units

Step-by-step explanation:

Given

Pyramid A

[tex]s = 4[/tex] -- base sides

[tex]V = 36[/tex] -- Volume

Pyramid B

[tex]s = 6[/tex] --- base sides

Required

Determine the volume of pyramid B [Missing from the question]

From the question, we understand that both pyramids are equilateral triangular pyramids.

The volume is calculated as:

[tex]V = \frac{1}{3} * B * h[/tex]

Where B represents the area of the base equilateral triangle, and it is calculated as:

[tex]B = \frac{1}{2} * s^2 * sin(60)[/tex]

Where s represents the side lengths

First, we calculate the height of pyramid A

For Pyramid A, the base area is:

[tex]B = \frac{1}{2} * s^2 * sin(60)[/tex]

[tex]B = \frac{1}{2} * 4^2 * \frac{\sqrt 3}{2}[/tex]

[tex]B = \frac{1}{2} * 16 * \frac{\sqrt 3}{2}[/tex]

[tex]B = 4\sqrt 3[/tex]

The height is calculated from:

[tex]V = \frac{1}{3} * B * h[/tex]

This gives:

[tex]36 = \frac{1}{3} * 4\sqrt 3 * h[/tex]

Make h the subject

[tex]h = \frac{3 * 36}{4\sqrt 3}[/tex]

[tex]h = \frac{3 * 9}{\sqrt 3}[/tex]

[tex]h = \frac{27}{\sqrt 3}[/tex]

To calculate the volume of pyramid B, we make use of:

[tex]V = \frac{1}{3} * B * h[/tex]

Since the heights of both pyramids are the same, we can make use of:

[tex]h = \frac{27}{\sqrt 3}[/tex]

The base area B, is then calculated as:

[tex]B = \frac{1}{2} * s^2 * sin(60)[/tex]

Where

[tex]s = 6[/tex]

So:

[tex]B = \frac{1}{2} * 6^2 * sin(60)[/tex]

[tex]B = \frac{1}{2} * 36 * \frac{\sqrt 3}{2}[/tex]

[tex]B = 9\sqrt 3[/tex]

So:

[tex]V = \frac{1}{3} * B * h[/tex]

Where

[tex]B = 9\sqrt 3[/tex] and [tex]h = \frac{27}{\sqrt 3}[/tex]

[tex]V = \frac{1}{3} * 9\sqrt 3 * \frac{27}{\sqrt 3}[/tex]

[tex]V = \frac{1}{3} * 9 * 27[/tex]

[tex]V = 81[/tex]

Answer:

81

Step-by-step explanation:

A group of preschoolers has 8 boys and 24 girls, what is the ratio of boys to girls? ​

Answers

Answer:

1/3

Step-by-step explanation:

8

24

=

1

×

8

3

×

8

Mhanifa please help! Look at the picture attached!!!

Answers

Answer:

(17)

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(18)

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(19)

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What is the solution for x in the equation? 10x-4.5+3x=12x-1.1

Answers

Answer:

[tex] putting \: the \: like \: terms \: together\\ 10x + 3x - 12x = 4.5 - 1.1 \\ x \: = 3.4[/tex]

find the volume of the cylinder!



Use 3.14 for pi-

round your answer to the tenths place !!


Will mark b if correct:)

Answers

2123.72 cm


(sorry if it’s wrong)

A prism has a volume of 405 cubic inches.
4.5 in.
15 in.
Which is the correct substitution for finding the height of the prism?​

Answers

Answer:

405 = 15 times 4.5 times h

Step-by-step explanation:

Complete question

A prism has a volume of 405 cubic inches.

A prism has a length of 15 inches, height of h, and width of 4.5 inches

Which is the correct substitution for finding the height of the prism?

A V = l w h. 405 = 15 + 4.5 + h.

B V = l w h = 15 times 4.5 times 405

C V = l w h = 15 times 4.5 times 15

D V = l w h. 405 = 15 times 4.5 times h

Find the diagram attached

Volume of the prism is expressed as;

V = lwh

l is the length

w is the width

h is the height

Given the following

l = 15inches

w = 4.5inches

Required

Expression to calculate the height g

Substitute the given values into the formula

V = lwh

405 = 15 * 4.5 * h

Hence the required option is 405 = 15 times 4.5 times h

Answer:

405 = 15 times 4.5 times h

Step-by-step explanation:

Give it to the other person.

A 7-meter by 7-meter square is reduced so that each side is half as long as the original.

a. Describe the new square. (Side length)

b. Write the ratio of the perimeters in the order New:Original.

c. Write the ratio of the areas in the order New:Original.

Answers

Answer:

Step-by-step explanation:

7m ÷ 2 = 3.5mPart A: New square is 3.5-meter by 3.5-meterThe original square's perimeter is 7x4=28-meter.The new square's perimeter is 3.5x4=12-meterPart B: The ratio is 12:28 or 3:7The original square's area is 7²=49 meter²The new square's area is 3.5²=12.25 meter²Part C: The ratio is 49:12.25

Find the distance between the pair of points (6. - 22) and (1. - 23) The distance is​

Answers

I don’t know the answer to this bc I can’t remember

A city has a population of 2,549,786 people. Written as the product of a single digit and a power of ten, this number is 3 x 10 to what power? *

Answers

Answer:

3 x 10^6

Step-by-step explanation:

Answer:

3 x 10^6

Step-by-step explanation:

 please help me ahhh im doing 8th grade math with pythagorean theorem

Answers

I think it isnt a right triangle, but im sorry if thats wrong

Step-by-step explanation:

The pythagorean theorem is the sum of the two legs squares equal the hypotenuse squared.

The hypotenuse is the longest side so 3.5 is our hypotenuse.

Apply formula to see of true.

[tex] {a}^{2} + {b}^{2} = {c}^{2} [/tex]

[tex] {2.5}^{2} + {3}^{2} = {3.5}^{2} [/tex]

[tex]6.25 + 9 = (3.5 {}^{2}) {?} [/tex]

[tex]15.25 = 12.25 {?}[/tex]

So it isn't a triangle since they aren't equal

pleas help ive been in this exam for 4 hours
An expression is shown below:

10n3 − 15n2 + 20xn2 − 30xn

Part A: Rewrite the expression by factoring out the greatest common factor. (4 points)

Part B: Factor the entire expression completely. Show the steps of your work. (6 points)

Answers

Answer:

the

Step-by-step explanation:

the comen factor are 10-15+20-30

and Factor the entire expression completely.

are n and 2

Guys pls help me!!!!!!

Answers

Answer:

B

Step-by-step explanation:

If x is any larger than 4 it would be greater than 5, since 2*4-3=5

If x was any smaller than -1  it would be greater than 5, since 2*-1-3=|-5|=5

C hope this help you

Como leer el decimal 0.000000215

Answers

Answer:

cero con doscientas quince mil millonésimas

Step-by-step explanation:

A honeybee hive may contain up to 4.0x10^4 honeybees. What is the number of honeybees in a beehive in standard form

Answers

Answer:

40000

Step-by-step explanation:

Given that,

A honeybee hive may contain up to [tex]4\times 10^4[/tex] honeybees.

We need to find the number of honeybees in a beehive in standard form.

We know that,

10⁴ = 10000

So,

4 × 10⁴ = 4 × 10000

= 40000

So, there are 40000  honeybees in a beehive.

Tell whether xy = 8 shows direct variation, inverse variation, or neither.

Answers

Answer:

inverse

Step-by-step explanation:

y = k/x indicates inverse variation, which is the same as xy = k

in this particular problem, k = 8


best describes her chances of rolling 12 in one try?
A certain
D Impossible
B likely
e unlikely
*29. a. Multiple Choice which of these Venn diagrama illustrates the
relationship between squares () and rhombuses (R)?
A
D
R
Explain Explain your answer for part a.
90. The

Answers

B.likely answer answer

Choose the <,>,= symbols to answer the question

Answers

Answer:

1. >

2,<

3.<

4.>

5,>

6.<

7.>

8.>

Step-by-step explanation:

HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP

Answers

Answer:

B

Step-by-step explanation:

the mean changes a lot, the median doesn't change

Answer:

B

Step-by-step explanation:

the mean is 599.5 and the median is 410

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