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goblinko [34]
2 years ago
13

Which expression(s) are greater than 0? Select all that apply.

Mathematics
1 answer:
MakcuM [25]2 years ago
4 0

Answer:

1234567891011121314151617181920

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Help plz with this math problem. I’m so confused
Lunna [17]

Slope-intercept form is written as <em>y = mx + b</em>, where m is the slope and b is the y-intercept.

From this graph we should determine two points so we can work out the slope. Let's take points (3, -4) and (6, -2).

                                       

The equation to find the slope is:

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

Let's substitute in our values:

m = \frac{-2 - -4}{6 - 3}

Remember that two negatives make a positive, let's solve for m:

m = \frac{2}{3}

Okay, now we have the value of m. Now we need the value of b. We can determine this by looking at the graph and looking where the line passes through the y-axis. In this graph, we can see the line pass through the y-axis at point (0, -6).

Therefore we can determine that b = -6.

Let's substitute our value for m and our value for b into the slope-intercept formula:

y = mx + b

<u>y = </u>\frac{2}{3}<u>x + -6</u>

There's your final answer! I hope this helps, have a great night. :)

6 0
3 years ago
"Find the point of intersection for each system of linear equations. Which method did you use &amp; why?"
lisabon 2012 [21]
Set each equation to get Y by its self
Then set the equations equal to each other and solve for X
Easy(:
8 0
3 years ago
The XYZ company is seeing its value declining at a rate of 3.2% per year. If the current value is $2,300,000, what will the valu
slega [8]
Given that its value decreases by r = -3.2% (i.e decreasing means that the rate is negative) and that the current value of the company is P = 2,300,000.

The value of the company in n = 5 years is given by

FV=P(1+r)^n \\  \\ =2,300,000(1-0.032)^5 \\  \\ =2,300,000(0.968)^5=2,300,000(0.8499) \\  \\ =\$1,954,810.81
4 0
3 years ago
A school wishes to enclose its rectangular playground using 480 meters of fencing.
Harlamova29_29 [7]

Answer:

Part a) A(x)=(-x^2+240x)\ m^2

Part b) The side length x that give the maximum area is 120 meters

Part c) The maximum area is 14,400 square meters

Step-by-step explanation:

The picture of the question in the attached figure

Part a) Find a function that gives the area A(x) of the playground (in square meters) in terms of x

we know that

The perimeter of the rectangular playground is given by

P=2(L+W)

we have

P=480\ m\\L=x\ m

substitute

480=2(x+W)

solve for W

240=x+W\\W=(240-x)\ m

<u><em>Find the area of the rectangular playground</em></u>

The area is given by

A=LW

we have

L=x\ m\\W=(240-x)\ m

substitute

A=x(240-x)\\A=-x^2+240x

Convert to function notation

A(x)=(-x^2+240x)\ m^2

Part b) What side length x gives the maximum area that the playground can have?

we have

A(x)=-x^2+240x

This function represent a vertical parabola open downward (the leading coefficient is negative)

The vertex represent a maximum

The x-coordinate of the vertex represent the length that give the maximum area that the playground can have

Convert the quadratic equation into vertex form

A(x)=-x^2+240x

Factor -1

A(x)=-(x^2-240x)

Complete the square

A(x)=-(x^2-240x+120^2)+120^2

A(x)=-(x^2-240x+14,400)+14,400

A(x)=-(x-120)^2+14,400

The vertex is the point (120,14,400)

therefore

The side length x that give the maximum area is 120 meters

Part c) What is the maximum area that the playground can have?

we know that

The y-coordinate of the vertex represent the maximum area

The vertex is the point (120,14,400) -----> see part b)

therefore

The maximum area is 14,400 square meters

Verify

x=120\ m

W=(240-120)=120\ m

The playground is a square

A=120^2=14,400\ m^2

8 0
3 years ago
PLEASE HELP QUICK!!!
Brilliant_brown [7]

Answer:

Step-by-step explanation:

I am not sure

5 0
3 years ago
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