A student's bank account is represented in the table shown.

1. Create a linear regression equation that can be used to model the amount of money in the account (the balance), y, based on the time (in weeks), x. Round all values to the nearest hundredth.

2. What is the slope of your linear regression equation? What does it mean in the context of the situation (time and $).

3. Use the model to approximate the amount in the account after 15 weeks. Round to the nearest hundredth.

4. Use the model to approximate how long it would take to have $50.00 in the account.

Answer:

4.2

Step-by-step explanation:

Answer:

[tex]y = \frac{1}{8} x - 3[/tex]

Step-by-step explanation:

Formula for straight lines:

[tex]y = mx + b[/tex]

where m = slope, b = constant

Given:

y-intercept = -3 (0, -3)

m = ⅛

Substitute into formula to find b.

[tex] - 3 = \frac{1}{8} (0) + b \\ - 3 = 0 + b \\ b = - 3[/tex]

Substitute b into original formula

[tex]y = mx + b \\ y = \frac{1}{8} x + ( - 3) \\ y = \frac{1}{8} x - 3[/tex]

Answer:2k

Step-by-step explanation:

-k+3k

-1k+3k

(-1+3)k

2k

Answer:

2k

Step-by-step explanation:

-k is the same as -1k so you can just solve it like that. Also, when adding terms with variables you just add the number in front (if they have the same variable). So -1k + 3k = 2k. Pretty much the same as -1 + 3, you just add a variable..

Answer:

3x+14x

Step-by-step explanation:

Answer:

 C

Step-by-step explanation:

Answer:

-8

Step-by-step explanation:

-2*(x+5)=6

Divide both sides by -2

x+5=-3

x=-3-5

x=-8

Answer:

[tex]\tan \angle T = \dfrac{SR}{TS} = \dfrac 43[/tex]

Step-by-step explanation:

Answer:

1-12-x-+1

Step-by-step explanation:

so you divided 2 by 4 then 1 after that 12 and boom

The equivalent expression for 4(5−3x) is ( 20 - 12x).

This states that multiplying the sum of two or more addends by a number produces the same result as multiplying each addend separately by the number and then adding the products together.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that the expression is 4(5−3x). The expression by distribution property will be solved as,

E =  4(5−3x)

Multiply by 4 in the whole equation,

E = (  4 x 5 - 4 x 3x )

E = 20 - 12x

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Answer:

m<-1 and 13/15

Step-by-step explanation:

The amount that Heather earns if she works 46 hours in one week is; $563.5

Amount she earns per hour if she works for 40 hours a week = $11.5 per hour

If she works over 40 hours, her hourly pay is 1.5 times the previous rate.

Thus;

Amount she earned for 40 hours is;

11.5 × 40 = $460

Amount she earned for the 6 extra hours to make it 46 hours is;

1.5 × 11.5 × 6 = $103.5

Total amount she earned for the 46 hours = $460 + $103.5 = $563.5

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The expression which represents the total number of square yards of fabric she needs for both pillows is 3x + y = z

let

x = first pillow

y = second pillow

fabrics needed for first pillow = 3 yards

fabrics needed for second pillow = 1 yards

z = Total square yards needed

The equation:

3x + y = z

Therefore, the expression which represents the total number of square yards of fabric she needs for both pillows is 3x + y = z

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Answer:The expression which represents the total number of square yards of fabric she needs for both pillows is 3x + y = z

let

x = first pillow

y = second pillow

fabrics needed for first pillow = 3 yards

fabrics needed for second pillow = 1 yards

z = Total square yards needed

The equation:

3x + y = z

Therefore, the expression which represents the total number of square yards of fabric she needs for both pillows is 3x + y = z

Step-by-step explanation:

The final answer is 9 percent

Answer:

9000 is your answer to this question hope it helps

Step-by-step explanation:

9000 es su respuesta a esta pregunta espero que ayude

Answer:

13.9 ft

Step-by-step explanation:

Answer:

29 minutes

Step-by-step explanation:

Answer:

(0,-4)

Step-by-step explanation:

3(0) - (-4) = 4

0 + 4 = 4

Answer:

x = the number

Step-by-step explanation:

15.) 2x + 9 = 25

16.) 3x - 6 = 21

17.) 7x = 12 + 3x

18.) 4x = 18 + x

19.) 2x + 24 = 8x

20.) 30 - x = 4x

Answer:

y=-4

Step-by-step explanation:

2y-18=-26

    2y=-26+18

        =-8

      y=-8÷2

        =-4

Answer: -3

Step-by-step explanation:

The axis of symettry is basically what cuts the parabola perfectly in half. In this case draw a horizontal line right through -3 on the x-axis

Answer:

[tex]x=-3[/tex]

Step-by-step explanation:

A parabola's axis of symmetry is located at the line [tex]x=h[/tex] and essentially divides the parabola in half. The vertex is [tex](-3,4)[/tex] so the axis of symmetry is located at the line [tex]x=-3[/tex]

Answer:

I think the answer would be +15.

Step-by-step explanation:

The change in points in the most recent round as an integer is given by 15 points.

Given is Nguyen played a game in which he could either lose or gain points each round. at the end of 7 rounds, he had -8 points. After one more round, he had 7 points.

Assume that the change in points in the most recent round as an integer is given by [ΔR].

At -

R{7} = - 8 points

R{8} = 7 points

ΔR = R{8} - R{7}

ΔR = 7 - (- 8)

ΔR  = 7 + 8

ΔR  = 15 points

Therefore, the change in points in the most recent round as an integer is given by 15 points.

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Answer:

option a is the correct answer

Step-by-step explanation:

bye

Answer:

8

Step-by-step explanation:

22-12+4-6 = 8

Answer:

x= -[tex]\frac{10}{3}[/tex], v = [tex]\frac{7}{3}[/tex]

Step-by-step explanation:

x= - 10/3, v = 7/3

jus so u want to copy so u don't have to type ur self

Answer:

Step-by-step explanation:

24.5 just multiply hope that helpss

Answer:

Check below :)

Step-by-step explanation:

If you are asked to find a side of a triangle using a given side and an angle. You should check if it is a right-angled triangle, if it is then you can use the SOH, CAH, TOA which uses the formulae as shown:

sinΘ= [tex]\frac{opposite}{hypotenuse}[/tex]

cosΘ= [tex]\frac{adjacent}{hypotenuse}[/tex]

tanΘ= [tex]\frac{opposite}{adjacent}[/tex]

(Search them online for detailed explanation about trigonometry on right-angled triangles)

If it is not right-angled triangles, you need to double-check if there is another side given or angle given to use the sine rule or cosine rule

Sine rule: 2 angles and opposite side/ 2 sides and opposite angle

Cosine rule: involves 3 sides and one angle

Answer:

B. p= 0.25

Step-by-step explanation:

Pls give brainliest if helps

Answer:

x=50

Step-by-step explanation:

Let's solve your equation step-by-step.

√8x - 8 - 8 = 4

√8x - 16 = 4

Step 1: Add 16 to both sides.

√8x - 16 + 16 = 4 + 16

√8x = 20

Step 2: Solve Square Root.

√8x = 20

8x = 20^2 ( Square both sides )

8x = 400

8x/8 = 400/8 (Divide both sides by 8)

x = 50

HOPES THIS HELP :)

Answer:

39, 44, 48

Step-by-step explanation:

Add 5 to the following terms.

Please mark me as the Brainliest, Thank you!

[tex]\huge \tt༆ Answer ༄[/tex]

The respective terms used for the lines are ~

Step-by-step explanation:

a is tangent

b radius

c diameter

d chord

Answer:

21

Step-by-step explanation:

70/10=7

So 7 people are 10% of the train.

10*3=30

7*3=21

21 empty seats

Answer

21

Step-by-step explanation: