show how you got your answer

Answer:

b, c and e

Step-by-step explanation:

Given

See attachment for functions

Required

Select all statements that contain both functions

First, calculate the rate (slope) of both functions.

This is calculated as:

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

For Alec's

[tex](x_1,y_1) = (0,3)[/tex]

[tex](x_2,y_2) = (2,9)[/tex]

So, the slope is:

[tex]m = \frac{9 - 3}{2 - 0}[/tex]

[tex]m = \frac{6}{2}[/tex]

[tex]m =3[/tex]

For Beth's

[tex](x_1,y_1) = (5,17)[/tex]

[tex](x_2,y_2) = (12,38)[/tex]

So, the slope is:

[tex]m = \frac{38 - 17}{12 - 5}[/tex]

[tex]m = \frac{21}{7}[/tex]

[tex]m =3[/tex]

Beth and Rec have the same slope. Hence, they save at the same rate.

Next, determine the amount they started with.

This implies that we calculate y when x = 0

From Alec's graph.

[tex](x,y) = (0,3)[/tex]

Alec's initial savings is 3

For Beth's savings, we make use of slope formula.

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex](x_1,y_1) = (5,17)[/tex]

[tex](x_2,y_2) = (0,y)[/tex]

So, we have:

[tex]3 =\frac{y - 17}{0 - 5}[/tex]

[tex]3 =\frac{y - 17}{ - 5}[/tex]

[tex]y - 17 = -15[/tex]

[tex]y = 17 -15[/tex]

[tex]y = 2[/tex]

Beth's initial savings is 2

Hence, Alec started with more money

Next, is to determine who has more money after 10 days.

Since they save at the same rate, the difference in their savings after any number of days will be the difference in their initial savings.

The difference (d) is calculated as:

[tex]d = 3 - 2[/tex]

[tex]d = 1[/tex]

Hence, Alec will have $1 more than Beth after 10 days

Answer:

its bc and e or Alec and Beth are saving at the same rate. Alec started with more money than Beth. and At 10 days, Alec will have $1 more than Beth in savings.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Square footage. ft². lock autosave. If you need to calculate the square footage of the floor's area, check out our square footage calculator.

Answer:

<TUX and <YXU

Step-by-step explanation:

:))))))))))

Answer:

Gddghdhdhdhy heifer here early enough h her y

Answer:

-12 is the common differences

Answer:

A. The median of the data values is 16.

Step-by-step explanation:

Answer:

A - 16

Step-by-step explanation:

Answer:

2,600.6

I think its 2,600.6 because 6% is 6 dollers I dont know if I am correct lol! but have a nice day! =)

Answer:

64/77

Step-by-step explanation:

Answer:

1/6

Step-by-step explanation:

2/6*1/6= 2/12

When you simplify 2/12 you get 1/6

Answer: Im confused just like you.

Step-by-step explanation: My teacher gave me that question too.

Answer:

the nearest value is 1700

Answer:

-7

Step-by-step explanation:

Answer:

15 students whose name begins with N

Step-by-step explanation:

This is not a valid representative sample.

Answer:

x = 15

Step-by-step explanation:

If ABC similar to EDC then we can use the similarity ratio to find the value of x

32/(3x-5) = 56/(5x-5) cross multiply the fractions

160x - 160 = 168x - 280 export like terms to the same side of the equation

280 - 160 = 168x - 160x

120 = 8x divide both sides by 8

15 = x

Answer:

a

Step-by-step explanation:

Answer:

4+

Step-by-step explanation:

Answer:

i don't get the question

Step-by-step explanation:

Answer:

The answer is C. Right

Answer: Y=83

Step-by-step explanation:

Answer:

y = 92

Step-by-step explanation:

plug in x = 27 into the equation y = 3x + 11,

y = 3(27) + 11

=> y = 81 + 11

=> y = 92

Answer:

√2

Step-by-step explanation:

3x^2+4x-8+2x^2-4x-2

5X^2-10

5x^2=10

X^2=10/5

X^2=2

X=√2

Answer:

0

Step-by-step explanation:

the initial value is just the base line

Answer:

0.1249

Step-by-step explanation:

that's what answer my calculator gives me. Hope that helped. <3

xoxo

Answer:

6/48 or 1/8 when simplified

Step-by-step explanation:

Answer:

x=15

Step-by-step explanation:

If each of those expressions is the measure of each arc of the circle, when added together they should equal 360

8x-10+6x+10x+10=360

24x=360

x=15

Answer:

choice 4) -3x = 4y

Step-by-step explanation:

-3(-4) = 4(-3)

12 ≠ -12

Answer:

-3x=4y

Step-by-step explanation:

if u do that equation it would equal 12=-12

Answer:

32

Step-by-step explanation:

Answer:

22

Step-by-step explanation:

If evaluated this is the answer!

Answer:

6/8>7/12

Step-by-step explanation:

6/8>7/12

36/48>28/48

I think

Answer:

[tex]\frac{dw}{dr} = \frac{8\cdot r}{4\cdot r^{2}-t^{2}+5\cdot s^{2}}[/tex], [tex]\frac{dw}{ds} = \frac{10\cdot s}{4\cdot r^{2}-t^{2}+5\cdot s^{2}}[/tex], [tex]\frac{dw}{dt} = -\frac{2\cdot t}{4\cdot r^{2}-t^{2}+5\cdot s^{2}}[/tex]

Step-by-step explanation:

We proceed to derive each expression by rule of chain. Let be [tex]w = \ln (x+2\cdot y + 3\cdot z)[/tex], [tex]x = r^{2}+t^{2}[/tex], [tex]y = s^{2}-t^{2}[/tex] and [tex]z = r^{2}+s^{2}[/tex]:

[tex]\frac{dw}{dr} = \frac{\frac{dx}{dr}+2\cdot \frac{dy}{dr} +3\cdot \frac{dz}{dr} }{x+2\cdot y + 3\cdot z}[/tex]

[tex]\frac{dx}{dr} = 2\cdot r[/tex]

[tex]\frac{dy}{dr} = 0[/tex]

[tex]\frac{dz}{dr} = 2\cdot r[/tex]

[tex]\frac{dw}{dr} = \frac{8\cdot r}{(r^{2}+t^{2})+2\cdot (s^{2}-t^{2})+3\cdot (r^{2}+s^{2})}[/tex]

[tex]\frac{dw}{dr} = \frac{8\cdot r}{4\cdot r^{2}-t^{2}+5\cdot s^{2}}[/tex] (1)

[tex]\frac{dw}{ds} = \frac{\frac{dx}{ds}+2\cdot \frac{dy}{ds} +3\cdot \frac{dz}{ds} }{x+2\cdot y + 3\cdot z}[/tex]

[tex]\frac{dx}{ds} = 0[/tex]

[tex]\frac{dy}{ds} = 2\cdot s[/tex]

[tex]\frac{dz}{ds} = 2\cdot s[/tex]

[tex]\frac{dw}{ds} = \frac{10\cdot s}{(r^{2}+t^{2})+2\cdot (s^{2}-t^{2})+3\cdot (r^{2}+s^{2})}[/tex]

[tex]\frac{dw}{ds} = \frac{10\cdot s}{4\cdot r^{2}-t^{2}+5\cdot s^{2}}[/tex] (2)

[tex]\frac{dw}{dt} = \frac{\frac{dx}{dt}+2\cdot \frac{dy}{dt} +3\cdot \frac{dz}{dt} }{x+2\cdot y + 3\cdot z}[/tex]

[tex]\frac{dx}{dt} = 2\cdot t[/tex]

[tex]\frac{dy}{dt} = -2\cdot t[/tex]

[tex]\frac{dz}{dt} = 0[/tex]

[tex]\frac{dw}{dt} = -\frac{2\cdot t}{(r^{2}+t^{2})+2\cdot (s^{2}-t^{2})+3\cdot (r^{2}+s^{2})}[/tex]

[tex]\frac{dw}{dt} = -\frac{2\cdot t}{4\cdot r^{2}-t^{2}+5\cdot s^{2}}[/tex] (3)

Answer:

Step-by-step explanation:

There are 4 colors and if the sum of the probabilities involves all those colors, then it equals to 1.

Calculation as below:

The sum is:

Answer:

y-intercept = ( 0,0.4)

x-intercept = ( 0.3,0)

Step-by-step explanation:

By inspection from the given graph

Answer:

y-int = (0,.4)

x-int = (.3,0)