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shepuryov [24]
2 years ago
5

Write the equation of the line fully simplified slope-intercept form.​

Mathematics
1 answer:
FinnZ [79.3K]2 years ago
7 0

Answer:

y=-4/10x+ 5 or y=-0.4x+5

Step-by-step explanation:

The formula for slope is y=mx+b. The "m" is the slope, the "x" is constant, and "b" is your y-intercept.

1. Figure out your slope:

Easiest way to do this is by using rise/run. You. take your point to the left and count how many spaces up or down it is from the second point, and then repeat that across the x-axis.

2. Determine whether it is positive or negative

A line with a positive slope is going to be angled upward and a line with a negative slope will be angled downward

3. Find the y-intercept

Simply look at the graph and find where the line crosses the y-axis

4. Plug everything into the equation

Once you do Steps 1-3, just plug everything in and you're done! If you have any questions, feel free to ask!

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Answer:

The dot plot has  22

dots.

The dot plot has   11

dots to the left of the

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dots to the right of the center.

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Step-by-step explanation:

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Cho biết tỉ lệ máy tính bảng sử dụng hệ điều hành A là 70%, tỉ lệ máy tính bảng sử
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2 years ago
The graph of which function passes through (0,3) and has an amplitude of 3? f (x) = sine (x) + 3 f (x) = cosine (x) + 3 f (x) =
Cloud [144]

Answer:

f(x)=3*cosine(x)

Step-by-step explanation:

We are looking for a trigonometric function which contains the point (0, 3), and has an amplitude of 3.

We know that for a sine function f(x)=sin(x), f(0)= 0; therefore the function we a looking for cannot be a sine function because it is zero at x=0.

However, the cosine function f(x)=cos(x) gives non-zero value at x=0:

f(0)=cos(0)=1

therefore, a cosine function can be our function.

Now, cosine function with amplitude a has the form

f(x)=a*cos(x)

this is because the cosine function is maximum at x= 0 and therefore, has the property that

f(0)=a*cos(0)= a

in other words it contains the point (0, a).

The function we are looking for contains the point (0, 3); therefore, its amplitude must be 3, or

f(x)=3cos(x)

we see that this function satisfies our conditions: f(x) has amplitude of 3, and it passes through the point (0, 3) because f(0)=3

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2 years ago
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There are many square prisms with volume 125 in. Let w represent the side length of the square base and h represent the height i
iogann1982 [59]

Answer:

5in by 5in by 5in

Step-by-step explanation:

We are not told wat to find but we can as well find the dimension of the prism that will minimize its surface area.

Given

Volume = 125in³

Formula

V = w²h ..... 1

S = 2w²+4wh ..... 2

w is the side length of the square base

h is the height of the prism

125 = w²h

h = 125/w² ..... 3

Substitute eqn 3 into 2 as shown

S = 2w²+4wh

S = 2w²+4w(125/w²)

S = 2w²+500/w

To minimize the surface area, dS/dw = 0

dS/dw =4w-500/w²

0= 4w-500/w²

Multiply through by w²

0 = 4w³-500

-4w³ = -500

w³ = 500/4

w³ =125

w = cuberoot(125)

w = 5in

Get the height

125 =w²h

125 = 25h

h = 125/25

h = 5in

Hence the dimension of the prism is 5in by 5in by 5in

5 0
2 years ago
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