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Bumek [7]
3 years ago
13

A plant is 3 inches tall when you purchase it and grows 2 inches per month. Write an equation in slope intercept form that repre

sents the height y(in inches) of the plant after x months.
Mathematics
1 answer:
tresset_1 [31]3 years ago
5 0

Answer:

y = 3 + 2x

Step-by-step explanation:

In this scenario, we are given two values which are the initial height of the plant and its growth height. Then we are given a variable which is the number of months (x) that are unknown for us. The growth height needs to be multiplied by the number of months to know how much it has grown in that time period. Then we add this value to the initial height of the plant to calculate the total height (y) of the plant after x number of months. We can apply this information to form the following equation in slope-intercept form.

y = 3 + 2x

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There are 20 small tropical fish swimming in a 55-gallon aquarium. What is the population density?
umka21 [38]

Answer:

The population density is 0.364 fish per gallon.

Step-by-step explanation:

The population density can be defined as the number of individuals (in this case, small tropical fish) per unit of area or volume. In this case, the volume of the aquarium (55 gallon).

The density can be calculated then as:

d=\dfrac{P}{V}=\dfrac{20\;\text{fish}}{55\;\text{gal}}\approx0.364\dfrac{\text{fish}}{\text{gal}}

The population density is 0.364 fish per gallon.

5 0
3 years ago
Write the equation of a line that is perpendicular to the given line and that passes through the given point.
poizon [28]

Answer: y=-3x+29

Step-by-step explanation:

First put in y-intercept form to find the slope

4x-12y=2\\-12y=-4x+2\\y=\frac{1}{3} x-\frac{1}{6}

Slope of the 1st equation is 1/3-  the slope of the line perpendicular is the opposite reciprocal, so in the case it is -3

Use the point and the new slope to write the new equation in point slope format

y-y_{1} =m(x-x_{1} )\\y-(-1)=-3(x-10)\\y+1=-3x+30\\y=-3x+29

8 0
3 years ago
Solve the equation. Check the solution.<br> 8- 2x - 5- 13x = 6
V125BC [204]

Answer:

see below

Step-by-step explanation:

8- 2x - 5- 13x = 6

Combine like terms

-15x+3=6

Subtract 3 from each side

-15x+3-3=6-3

-15x = 3

Divide each side by -15

x = 3/-15

x = -1/5

Check

8 - 2(-1/5) -5 -13(-1/5) = 6

8 + 2/5 -5 +13/5 = 6

3 + 15/5 = 6

3+3=6

6=6

4 0
3 years ago
2. In the diagram below of parallelogram ROCK, m ZC is 70° and mZROS is 65°. What is mZKSO?​
Mashcka [7]

Check the picture below.

8 0
2 years ago
What joins one vertex to another and one face to another which is usually by a line segment called?
lana [24]
An edge or a corner of the shape joins them but the vertex idk
4 0
3 years ago
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