What is the domain and range?

Select all the equations that are equivalent to 5(a+2)

Karolina [17]

Answer:

B. 5a + 10

Step-by-step explanation:

Given:

5(a+2)

Open parenthesis

5(a+2)

= 5a + 10

A. 5a + 2

Wrong option

B. 5a + 10

Correct option

C. a + 10

Wrong option

D. 5 + (a + 2)

= 5 + a +2

= a + 7

Wrong option

5 0

3 years ago

PLEASE HELP ME!!

Natali [406]

First put your numbers in order from least to greatest (These are negative numbers so that means that the smallest number is the one farthest away from zero)

-49, -43, -39, -18, -14, -12, -9

Mean is adding all the numbers together and dividing the sum by how many numbers there are in the data set

-49 + (-43) + (-39) + (-18) + (-14) + (-12) + (-9) = -184

There are seven numbers so divide -184 by 7:

-184 ÷ 7 ≈ 26.29

Median is the number in the middle. Take away the smallest number and the biggest number on each layer until you get to the middle

-49, -43, -39, -18, -14, -12, -9

-43, -39, -18, -14, -12

-39, -18, -14

-18 <-------------------Median

Mode is whatever number appears the most often in the data. In this case all the numbers appear only once so there is no mode

Range is subtracting the largest number by the smallest number

-9 - (-49) = 40

2. Data in order

13, 13, 13, 15, 21, 23, 25, 37

Outlier is the number that is a number that is rather far from the other number in the data

a. In this case the outlier is 37

b. 13 + 13 + 13 + 15 + 21 + 23 + 25 + 37 = 160

160 ÷ 8 = 20

c. 13 + 13 + 13 + 15 + 21 + 23 + 25 = 123

123 ÷ 7 = 17.57

Hope this helped!

~Just a girl in love with Shawn Mendes

6 0

3 years ago

Read 2 more answers

I needs help with it

Slav-nsk [51]

Answer:

a) initial height = 0 m

b) 8 s

c) vertex = (4, 32)

maximum height = 32 m

Step-by-step explanation:

<u>Given equation</u>:

$h=-2t^2+16t$

where:

h is the height of the arrow about the ground (in metres)
t is the time (in seconds)

The initial height of the arrow will be at the beginning of its journey, so when t = 0

Substitute t = 0 into the equation and solve for h:

$\implies h=-2(0)^2+16(0)$

$\implies h=0$

Therefore, the initial height of the arrow is 0 m.

The arrow will hit the ground when the height is 0 m.

Substitute h = 0 into the given equation:

$\implies -2t^2+16t=0$

Factor out -2t:

$\implies -2t(t-8)=0$

Therefore:

$\implies -2t=0 \implies t=0$

And:

$\implies t-8=0 \implies t=8$

Therefore, the arrow will hit the ground at 8 seconds.

The vertex is the <u>turning point</u> of a parabola - it's minimum or maximum point.

As the leading coefficient for the given equation is <u>negative</u>, the parabola <u>opens downwards</u> and so its <u>vertex</u> is its <u>maximum point</u>.

There are different ways to find the vertex of a parabola. The easiest way to find the x-coordinate is by calculating the midpoint of the x-intercepts.

We have determined that the arrow has a height of 0 m at 0 seconds and 8 seconds. Therefore, t = 0 and t = 8 are the x-intercepts. The midpoint is halfway between zero and 8, so the midpoint is t = 4

To find the y-coordinate, substitute t = 4 into the equation and solve for h:

$\implies h=-2(4)^2+16(4)$