A direct variation function contains the points (–9, –3) and (–12, –4). Which equation represents the function? y = –3x, y = equals StartFraction x Over 3 EndFraction. y = equals StartFraction x Over 3 EndFraction. y = 3x

Answer:

[tex]h(t) = -5(t-2)^2+20[/tex]

20 meters

Step-by-step explanation:

The vertex form of the equation is h(t) = -5(t-2)^2 - 4 and the ball was 20 meters above the ground

The standard vertex form of a quadratic equation is expressed as (a-h)^2 + k

Given the height of the ball (in meters above the ground) t seconds after Sara kicked it is modelled by h(t)=-5t^2+20t

Write in vertex form

h(t)=-5t^2+20t

h(t) = -5(t^2 - 4t)
h(t) = -5(t^2 - 4t + 2^2) - 2^2
h(t) = -5(t-2)^2 - 4

Hence the vertex form of the equation is h(t) = -5(t-2)^2 - 4

At the highest point t = -b/2a
t = -20/2(-5)
t = -20/-10
t = 2ssecs

Substitute t = 2 into the function

h(2) = -5(2)^2 + 20(2)
h(2) = -20 + 40
h(2) = 20 meters

Hence the ball was 20 meters above the ground

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Answer:

[tex]x >12[/tex]

[tex](12, \infty)[/tex]

[tex]\{x\in\mathbb{R} : x>12 \}[/tex]

Step-by-step explanation:

[tex]\dfrac{4}{9} x - 3 > \dfrac{7}{3}[/tex]

[tex]\dfrac{4}{9} x > \dfrac{7}{3}+3[/tex]

Multiply both sides by 9

[tex]4 x > 21+27[/tex]

[tex]4 x > 48[/tex]

Divide both sides by 4

[tex]x >12[/tex]

Answer:

= 10x - y

Step-by-step explanation:

Answer:

M=104

Step-by-step explanation:

8 times 13 equals 104. Therefore is you divide by 8, you get 13 and vice versa

Answer:

Lo siento, no puedo ayudarte, ya es debido

Answer:

x=(-3)

Step-by-step explanation:

-6x(-3) is 18

18+3=21

Answer: -3

Step-by-step explanation:

Move all terms that don't contain

x to the right side and solve.

x = −3

PLS GIVE ME BRAINLIEST, IT WILL MEAN A LOT TO ME

Answer:

1/3 = 3

Step-by-step explanation:

3* 1/3 = 1

1/3 = 1 (3)

1/3 = 3

What are the answer choices

Answer:

360

Step-by-step explanation:

the train is going 60 mph. 60*6=360

Answer:

Volume

Step-by-step explanation:

x axis is always independant y axis is always dependant

Answer:

40%

Step-by-step explanation:

Answer:

40%

Step-by-step explanation:

Step-by-step explanation:

my instagram account bdq.frk follow please

Answer:

Its the one all the way to the right.

Step-by-step explanation:

Answer:

1.5

Step-by-step explanation:

Think of a number line, on the number line are the points 1 and 2, the number between those points is the midpoint.

You can also average 1 and 2 to get the midpoint. To average any number sequence, simply add all of the numbers and then divide the sum of those numbers by the amount of numbers there are.

In this case add 1 and 2 to get 3 then divide 3 by 2 (because there are two numbers) to get 1.5

The midpoint between 1 and 2 is 1.5.

A location that is halfway between two other points is considered to be a line segment's midway. The distance between the midway and each endpoint is the same.

Given points are 1 and 2. The midpoint is calculated by using the formula as ( x₁ + x₂ ) / 2.

Average 1 and 2 to get the midpoint. To average any number sequence, simply add all of the numbers and then divide the sum of those numbers by the number of numbers there are.

The midpoint will be calculated as:-

M = ( x₁ + x₂ ) / 2.

M = ( 1 + 2 ) / 2.

M = ( 3 ) / 2.

M = 1.5

Therefore, the midpoint between 1 and 2 is 1.5.

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Answer:36 weeks

Step-by-step explanation:

1757/50=35.1

Answer:

3.6875 lbs per person

Step-by-step explanation:

Calculation for the weight of the apples that each of them recieved

Based on the information given we were told that Kenneth shared the basket of apples with 3 of his friends which means that they are 4 in total which is Kenneth + 3 of his friends.

Hence,

Weight of apples=14.75 pound/4

Weight of apples=3.6875 lbs per person

Therefore the weight of the apples that each of them received will be 3.6875 lbs per person

Answer:

C

Step-by-step explanation:

Answer:

Step-by-step explanation:

(9x100)+(9x10)+(0x1)

Answer: 3

Step-by-step explanation: Subtract 2 from both sides, leaving 2/3x=2. All you need to do now is find a number to multiply 2 by to get 6/3, which would be 3. 2=2 is a true statement.

The value of x in the equation (2/3)x + 2 = 4 is x = 3.

We have,

To solve the equation (2/3)x + 2 = 4, we can follow these steps:

- Start by subtracting 2 from both sides of the equation to isolate the term with x:

(2/3)x + 2 - 2 = 4 - 2

(2/3)x = 2

- To get rid of the fraction, multiply both sides of the equation by the reciprocal of (2/3), which is 3/2:

3/2 (2/3)x = 3/2 x 2

x = 3

Therefore,

The value of x in the equation (2/3)x + 2 = 4 is x = 3.

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Answer:

The answer is all three

Step-by-step explanation:

The function that represents the draining of the aquarium is an illustration of a linear function.

All statements are true about the scenario.

The function is given as:

[tex]\mathbf{w(x) = 20 - 10x}[/tex]

A linear function is represented as:

[tex]\mathbf{y =mx + c}[/tex]

By comparing [tex]\mathbf{y =mx + c}[/tex] and [tex]\mathbf{w(x) = 20 - 10x}[/tex], we can conclude that:

[tex]\mathbf{w(x) = 20 - 10x}[/tex] is a linear equation

The slope of a function is the average rate of a function.

The slope of [tex]\mathbf{w(x) = 20 - 10x}[/tex] is 10

This means that, the aquarium is being drained at a rate of 10 liters per second.

So, we can conclude that, the following statement is also true.

The slope represents how fast the water is being drained.​

Lastly, when x = 0, we have:

[tex]\mathbf{w(0) = 20 - 10(0) = 20}[/tex]

This represents the initial volume of the aquarium.

So, we can conclude that, the following statement is also true.

The y-intercept of 20 is the initial amount of water in the aquarium

Hence, the three statements are true.

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Answer:  37.5 minutes

Step-by-step explanation:

1. divide 52 by 13

52/13 = 4

2. take divide 150 (minutes in 2.5 hours) by 4

150/4 = 37.5

your answer is 37.5 minutes

Answer:

Equation is 7n-9, a10=61

Step-by-step explanation:

nth term of an arithmetic sequence with first term a and common difference d is a+(n-1)d

Here, a=-2 , d=7

nth term is -2+(n-1)7=7n-9

a10=7*10-9=70-9=61

Answer:

2√10

Step-by-step explanation:

√5*√8

=√40

simplify:

2√10

Answer:

Step-by-step explanation:

independent is X

dependent is Y

domain is 0 to 3  

range is 4.75 to 7  

:)

Answer:

You multiply the 15 and 140 by four. Then you will have your 60 minutes which equals an hour and your 560 calories per hour.

Step-by-step explanation:

Answer:

I answered in the picture

Answer:

D:The function is bounded both above and below

Step-by-step explanation:

I'm not 100% sure but I'm about 90% sure