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hichkok12 [17]
3 years ago
11

Find the y - intercept of y=3x+15 and then interpret it

Mathematics
1 answer:
oksian1 [2.3K]3 years ago
5 0

Answer:

The y-intercept to the given line equation y=3x+15 is (0,15).

Step-by-step explanation:

Given line equation is y=3x+15

To find the y-intercept from the given line equation y=3x+15:

y-intercept when x=0

That is substitute x=0 in the given line equation

 y=3x+15

y=3(0)+15

y=0+15

y=15

Therefore y=5

The point (0,15) on the graph where the line y is intersected is y-intercept.

In other words y-intercept is the point (0,15) where the given line equation y=3x+15 crosses the y-axis.

Therefore the y-intercept to the given line equation y=3x+15 is (0,15).

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The volume of a cube is 27n^27 cubic units. What is the length of one side of the cube?
elena-14-01-66 [18.8K]

The volume of a cube (V) is given in terms of its side length (s) as

... V = s³

You have

... 27n²⁷ = s³

You may recognize that 27 = 3³, so this can be written as

3^3\cdot n^{3\cdot 9} = \left(3n^{9}\right)^{3}=s^{3}\\\\3n^{9}=s\qquad\mbox{taking cube roots}

This result matches your second selection

... 3n⁹ units

8 0
4 years ago
Read 2 more answers
Difference between cylinder and cone
lord [1]
A cylinder has two bases and a height that (unless oblique) runs right along a side, while a cone has one base and whose height begins at the center of its base and goes straight up to the peak.
7 0
3 years ago
A hockey player strikes a hockey puck. The height of the puck increases until it reaches a maximum height of 3 feet, 55 feet awa
MariettaO [177]

Answer:

The maximum height of the second pluck is greater than that of the first pluck, hence the second pluck travels further  

Also the distance of the maximum height of first pluck from the player is less than the distance of the second pluck from the player hence the second pluck travels further

Step-by-step explanation:

From the question we are told that

  The maximum height of the first pluck is  h_1 =  3 \  ft

   The height of the second height is mathematically represented as

              $y=x\left(0.15-0.001x\right)

=>           y=0.15x -0.001x^2

Generally at maximum height  y' = 0

So

      y'=0.15 -0.002 x = 0

=>    x =  75 \  ft

Here 75 ft is the horizontal distance the second pluck traveled at maximum height

   So the maximum height of the second pluck is mathematically represented as

       y=0.15(75) -0.001(75)^2

=>     y=  5.625 \  ft  

So comparing the maximum height  of the first and the second pluck we see that the maximum height of the second pluck is greater than that of the first pluck, hence the second pluck travels father

3 0
3 years ago
What is the answer to this question
Sonja [21]
First we need to understand that the sum of adjacent angles on a straight line is 180°,meaning that when all the angles are added up the answer would be 180°

Here's how we can set up the equation:

2x+100°=180°
2x=80°
x=40°

Thus the answer is 40°

Again,hope it helps!
6 0
3 years ago
George spent 70 % of his saving to buy a camera. The camera cost $574 . How much did he originally have in savings?
viva [34]
574 : 70 * 100 =
820 $

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4 years ago
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