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Elina [12.6K]
3 years ago
7

Express it in slope-intercept form.​

Mathematics
2 answers:
motikmotik3 years ago
7 0

Answer:

y = 1/4x - 4

Step-by-step explanation:

The slope is four points behind the origin, so we subtract -4 from the equation:

y = 1/4x - 4

kipiarov [429]3 years ago
5 0

use two points on the line to find the slope:

(0,-4) (4,2)

Slope = change in y over change in x

Slope = (2 - -4) / (4-0) = 6/4 = 3/2

Y-intercept is the y value when x is 0, the line goes through y=2 at x = 0, so the t intercept is 2

The equation is:

Y = 3/2x + 2

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In a particular region of a national park, there are currently 330 deer, and the population is increasing at an annual rate of 1
Afina-wow [57]

Answer:

a) P(t) = 330 (1.11)^{t}

b)P(t) →population after t years.

   t →number of years.

c) Number of deer after five years = 556

Step-by-step explanation:

a) The population increasing at an annual rate of 11%, means the population is being multiplied by 1.11 each year.

So, we can use the formula

                             P(t) = P (1+\frac{r}{100} )^{t}

                             P(t) = 330 (1+\frac{11}{100} )^{t}

                             P(t) = 330 (1.11)^{t}

b) In this model

                        P(t) → population after t years

                          P → present population

                          r → annual increasing rate

c) Number of population after 5 years is,

                    P(5) = 330 (1.11)^{5}

                           = 556

 Number of deer after 5 years = 556

8 0
3 years ago
Find the distance AB between the points A (8, 2) and B(3,9). Round your answer to the nearest
LenKa [72]

Answer:

<h3>d = 8.6</h3><h3>d = √74</h3>

Step-by-step explanation:

A (8, 2) = (x_1 ,y_1)\\ B(3,9) = (x_2,y_2)\\\\d = \sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}\\\\d =\sqrt{\left(3-8\right)^2+\left(9-2\right)^2}\\\\d=\sqrt{(5)^2+(7)^2}\\\\d=\sqrt{25+49}\\\\d=\sqrt{74}\\\\d = 8.6023\\\\d = 8.6

6 0
3 years ago
At Dorthys hair salon, 4 gallons of shampoo will last 3 weeks. She has 7 gallons of shampoo. How much more must she order if she
lara31 [8.8K]
X=number of gallons that she must order.

4 gallons-----------------3 weeks
(7 gallons + x)--------12 weeks

We solve this rule of 3.
(7 gallons +x)3 weeks=4 gallons*12 weeks
21 gallons weeks+3 x weeks=48 gallons weeks
3x weeks=48 gallons weeks - 21 gallons weeks
3x weeks=27 gallons weeks
x=(27 gallons weeks) / 3 weeks=9 gallons.

Solution: she must order 9 gallons more.
5 0
3 years ago
What is the slope between (10,4) and (7,4)?
Inga [223]
Slope is rise/run to find it we do (y1-y2)/(x1-x2) y1 means the 1st y and y2 means the second y in (x,y) form y1=4 y2=4 x1=10 x2=7 (4-4)/(10-7)=0/3=0 slope is 0
3 0
4 years ago
A rectangle is 3 feet longer than it is wide. Write the equation for the perimeter of the rectangle.
maria [59]
Let x be the width of the rectangle
Therefore length=3+x
Thus the formula to find the perimeter of the rectangle is:2(3+x+x)

Hope this is helpful mark me as brainlist

Thank You!
4 0
3 years ago
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