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Travka [436]
3 years ago
12

Express it in slope-intercept form.

Mathematics
1 answer:
natka813 [3]3 years ago
7 0

Hey there! :)

Answer:

y = 1/4x - 3.

Step-by-step explanation:

Use the slope-formula to find the slope of the line:

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

Plug in two points from the line. Use the points (-4, -4) and (0, 3):

m  = \frac{-3 - (-4)}{0 - (-4)}

Simplify:

m = 1/4.

Slope-intercept form is y = mx + b.

Find the 'b' value by finding the y-value at which the graph intersects the y-axis. This is at y = -3. Therefore, the equation is:

y = 1/4x - 3.

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A population of 1200 rabbits increases by 2.5% each year. At the end of 5 years, there will be approximately 1,358 rabbits in th
lubasha [3.4K]

Answer: y= 1200 (1.025)^t

Step-by-step explanation:

Hi, to answer this question we have to apply an exponential growth function:

A = P (1 + r) t  

Where:

p = original population

r = growing rate (decimal form)

t= years

A = population after t years

Replacing with the values given:

1200= 1200 (1+ 2.5/100)^5

1200= 1200 (1+ 0.025)^5

1200= 1200 (1.025)^5

For the number of rabbits, y, at the end of t years

y= 1200 (1.025)^t

Feel free to ask for more if needed or if you did not understand something.

4 0
4 years ago
Please somebody answer this. What is the length and width of the rectangle?
mafiozo [28]

Answer:

The length of the rectangle is 11x^{4} and width is (5x^{2} + 1).

Step-by-step explanation:

The area of the green zone is 55x^{6} and the area of the purple zone is 22x^{4}.

So, the total shaded zone is a rectangle having area = 55x^{6} + 22x^{4}.

Now, factorizing the area expression we get, area = 11x^{4}(5x^{2} + 2).

Therefore, we can say the length of the rectangle is 11x^{4} and width is (5x^{2} + 1). (Answer)

5 0
3 years ago
Read the question and help me, please.​
shusha [124]
<h3>Answer: B) 6</h3>

===============================================

Explanation:

Add the equations by adding the terms straight down.

The x terms add to x+x = 2x.

The y terms add to y+(-y) = y-y = 0y = 0, so the y terms go away

The constants add to 5+7 = 12

The z terms add to -z+z = 0z = 0 and those go away as well

After all that adding, we have 2x = 12 which solves to x = 6 after dividing both sides by 2.

6 0
3 years ago
Read 2 more answers
Which of the following are In The correct order from least to greatest?
geniusboy [140]

This ones a bit tricky but the answer is A

4 0
3 years ago
Help please I need to answer this question
djverab [1.8K]

Answer:

D

Step-by-step explanation:

first find the perimeter of both triangles

Original perimeter: 72 in

scaled perimeter: 24 in

A is wrong since the scaled perimeter is actually smaller.

B is wrong because its not 6 times smaller

C is wrong since it's not 1/9 of the original

D is correct since the scaled is a 1/3 of the original perimeter (72*1/3 = 24)

6 0
3 years ago
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