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Eva8 [605]
4 years ago
6

Need Help*Please Show Work*​

Mathematics
1 answer:
sergejj [24]4 years ago
8 0

Hi there! :)

Answer:

y = -2x + 3

Step-by-step explanation:

We can write an equation in slope-intercept form. Use the slope formula to find the rate of change in the table:

m = \frac{\text{rise}}{\text{run}} = \frac{y_2 - y_1}{x_2 - x_1}

Plug in values from the table:

m  = \frac{5 - 7}{-1 - (-2)}

Simplify:

m = -2 (rate of change)

Use a point from the table (-2, 7) and the slope to solve for the equation for the linear function:

7 = -2(-2) + b

7 = 4 + b

7 -4 = b

b = 3

Rewrite:

y = -2x + 3 is the equation for the linear function.

You might be interested in
A teacher covered the exterior of a rectangular prism-shaped box that measured 8 inches by 9 inches by 10 inches using one sheet
Ahat [919]

Answer:

380 square inches

Step-by-step explanation:

We are given the measurements of the Rectangular Prism as

8 inches by 9 inches by 10 inches

Where based on the order of arrangement:

8 inches = Length

9 inches= Width

10 inches = Height

Step 1

Find the amount of wrapping paper needed

Perimeter = 2L + 2W

= 2 × 8 + 2 ×9

= 16 + 18

= 34 inches

Base = L × W

= 8 × 9

= 72 inches

Surface Area of the Rectangular Prism =PH + 2B

Where P = Perimeter

H = Height

B = Base

= 34 × 10 + 2× 72

= 340 + 144

= 484 square inches

The area of the Rectangular prism = 484 square inches

Step 2

So we were told that she used wrapping paper the measured 2 feet by 3 feet.

We would convert the values in feet to inches

1 ft = 12 inches

Length = 2 ft = 2 × 12 = 24 inches

Width = 3 ft = 3 × 12 = 36 inches

We find the area of the wrapping paper

Length × Width = 24inches × 36 inches = 864 square inches.

Step 3

The amount of square inches of wrapping paper left over is calculated as:

Area of the wrapping paper used - Area of the Rectangular prism

= 864 square inches - 484 square inches

= 380 square inches.

Therefore, the amount of square inches of wrapping paper left over is 380 square inches.

5 0
3 years ago
Dwayne has $40 in a savings account that earns
kvasek [131]

Answer:

He'll have $42.

Step-by-step explanation:

5% annually means that he'll have 5% more in his account after one year. That's exactly what the question asks.

So it's just a matter of adding 5% to $40.

$40 + ($40 * 0.05) = $40 + $2 = $42

5 0
3 years ago
Someone help please?
vladimir2022 [97]

Answer: The slope would be -2, (C) and the Y intercept would be 5

8 0
3 years ago
Please give me the correct answer.​
ANEK [815]
Answer x=1/5
6x-3=-9x
-3=-15x
-3/-15x=1/5
7 0
3 years ago
in our school, one out of every three students wears glasses, is there are 936 students, how many students wear glasses?
Naddik [55]
I think 312 but I'm not sure
3 0
3 years ago
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