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Juli2301 [7.4K]
3 years ago
6

On a coordinate plane, a dashed straight line has a positive slope and goes through (negative 3, 1) and (0, 3). Everything to th

e left of the line is shaded.
Which linear inequality is represented by the graph?

Mathematics
2 answers:
Grace [21]3 years ago
6 1

Answer:

the correct answer is y>2x+(3/4) and (2,5)

hope this helps

(p.s:Please mark me as brainlyest)

Step-by-step explanation:

I just took the test on E2020

miss Akunina [59]3 years ago
4 0

Answer:

y> \frac{2}{3}x+3

Step-by-step explanation:

we have the points

(-3,1) and (0,3)

step 1

Find the slope m of the line

The formula to calculate the slope between two points is equal to

m=\frac{y2-y1}{x2-x1}

substitute the values

m=\frac{3-1}{0+3}

m=\frac{2}{3}

step 2

Find the equation of the line in slope intercept form

y=mx+b

we have

m=\frac{2}{3}

b=3 ----> the y-intercept is the point (0,3)

substitute the values

y=\frac{2}{3}x+3

step 3

Find the equation of the inequality

we know that

The slope is positive

Everything to the left of the line is shaded ( The inequality is of the form y > ax+b or y ≥ ax+b)

Is a dashed line (The inequality is of the form y > ax+ b or y < ax+b)

therefore

The equation of the inequality is of the form y > ax+b

The inequality is

y> \frac{2}{3}x+3

see the attached figure to better understand the problem

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Dmitrij [34]
Suggestion:

The width is the x value and the hight is the y value.

Plot the points on the graph as decimal if that helps.

The point at the bottom left is the origin (0,0)

I hope this helps.
5 0
2 years ago
How to evaluate this f (x) = -x^+1 for x =-3
sukhopar [10]
Just plug in -3 for x. So it will be -(-3)^+ 1
Which is 3^+1.
I'm confused by your ^ sign I'm not sure if this is supposed to be squared or not...? But just solve/simplify the equation.
Hope this helps!
4 0
3 years ago
Read 2 more answers
Find the lateral surface area of the cylinder. Round your answer to the nearest tenth.
Svet_ta [14]

Answer:

A=2πrh

Step-by-step explanation:

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5 0
3 years ago
Given the following functions, find and simplify (f • g)(x) f(x)=—x+3 g(x)=-x-1
Hitman42 [59]

Answer:

(f\circ g)(x)= x + 4

Step-by-step explanation:

<u>Composite Function</u>

Given f(x) and g(x) as real functions, the composite function (f\circ g)(x) is defined as:

(f\circ g)(x)=f(g(x))

It can be found by substituting g into f.

We are given the functions:

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g(x) = -x -1

Find

(f\circ g)(x)=f(g(x))= - (-x -1) + 3

Removing parentheses:

(f\circ g)(x)= x + 1 + 3

Simplifying:

\mathbf{(f\circ g)(x)= x + 4}

5 0
3 years ago
A. Solve the differential equation <img src="https://tex.z-dn.net/?f=y%27%3D2x%20%5Csqrt%7B1-y%5E2%7D%20" id="TexFormula1" title
kirill [66]
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seperable differential equations will have the form
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what you do from here is isolate all the y terms on one side and all the X terms on the other
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just divided G(y) to both sides and multiply dx to both sides

then integrate both sides
\int \frac{1}{G(y)} dy = \int F(x) dx&#10;&#10;

once you integrate, you will have a constant. use the initial value condition to solve for the constant, then try to isolate x or y if the question asks for it


In your problem,
G(y) = \sqrt{1-y^2}&#10;&#10;F(x) = 2x

so all you need to integrate is
\int \frac{1}{\sqrt{1-y^2}} dy = \int 2x dx
5 0
3 years ago
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