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3 years ago

A line has the equation 3x–4y–12=0. Is the point (2, −1) on the graph?

Mathematics

2 answers:

zmey [24]3 years ago

3 0

Answer:

The point (2, -1 ) is not on the graph of the line.

Step-by-step explanation:

3x–4y–12=0

3*2 - 4*(-1) - 12= 0

6 + 4 - 12 =0

10 - 12 = 0

- 2 = 0 , false, so the point (2, -1 ) is not on the graph of the line.

Svetlanka [38]3 years ago

3 0

Answer:

It is not on the graph

Step-by-step explanation:

3x–4y–12=0

3*2 - 4*(-1) - 12= 0

6 + 4 - 12 =0

10 - 12 = 0

- 2 = 0 , false, so the point (2, -1 ) is not on the graph of the line.

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F(x)=2x^2+3 and g(x)=x^2-7 find (f+g)(x)

defon

Answer:

3x^2 -4

Step-by-step explanation:

F(x)=2x^2+3 and g(x)=x^2-7

(f+g)(x) =

We add the two functions together

(f+g)(x) =2x^2+3+x^2-7

I like to line them up vertically

(f+g)(x) =

2x^2 +3

+x^2 -7

------------------

3x^2 -4

3 0

3 years ago

Find X <br><br> Simplify answer type exact number or use radicals as needed

satela [25.4K]

On a right triangle, to find one missing side you can use this equation
a^2 + b^2 = c^2

a and b are the sides next to the right angle, and c is the hypotenuse (side not connected to right angle).

You first need to find the length of the dotted line before finding x. This is because to be able to use the above formula, you have to know the length of two out of three of the sides.

To solve the length of the dotted line, note that it also makes a triangle with the 5 unit line and the 5 √5 unit line. You can plug these numbers into the formula.
(5)^2+b^2=(5 √5)^2
25+b^2=125
b^2=100
b=10

Now that you know the length of the dotted line is 10 units, you can now solve for x

(20)^2+(10)^2=x^2
400+100=x^2
500=x^2
x= √500, which equals 22.361

5 0

3 years ago

The cereal box shown below is a rectangular prism. Find the surface area of the cereal box.

aksik [14]

Answer:

Surface area is found:

Surface Area = 1700 cm²

Step-by-step explanation:

(The cereal box is shown in the ATTACHMENT)

The surface area of a rectangular prism can be found by added the areas of all 6 sides of the rectangular prism.

L = length = 20 cm

H = height = 30 cm

W = Width = 5 cm

A(1) = L×H

A(1) = 20×30

A(1) = 600 cm²

As the measurements of the side at the back of side 1 has the same measurement of side 1. then:

A(2) = 600 cm²

A(3) = L×W

A(3) = 20×5

A(3) = 100 cm²

As the measurements of the side at the back of side 4 has the same measurement of side 4. then:

A(4) = 100 cm²

A(5) = H×W

A(5) = 30×5

A(5) = 150 cm²

As the measurements of the side at the back of side 5 has the same measurement of side 5. then:

A(6) = 150 cm²

<h3>Surface Area:</h3>

Adding areas of all the sides

A(1) + A(2) + A(3) +A(4) + A(5) + A(6) = 600 + 600 + 100 +100 + 150 +150

Surface Area = 1700 cm²

8 0

4 years ago

Read 2 more answers

What is the equation of the function shown in the graph provided?<br><br> y= _ x + _

Mkey [24]

Answer:

y = -3x - 6

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

<u>Algebra I</u>

Slope Formula: $m=\frac{y_2-y_1}{x_2-x_1}$

Slope-Intercept Form: y = mx + b

m - slope

b - y-intercept

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Find points from graph.</em>

x-intercept (-2, 0)

y-intercept (0, -6)

<u>Step 2: Find slope </u><em><u>m</u></em>

Substitute: $m=\frac{-6-0}{0+2}$
Subtract/Add: $m=\frac{-6}{2}$
Divide: $m=-3$

<u>Step 3: Redefine</u>

Slope <em>m</em> = -3

y-intercept <em>b</em> = -6

<u>Step 4: Write linear equation</u>

Slope-Intercept Form: y = -3x - 6

7 0

3 years ago

A t shirt maker wants to open his first store.If he chooses the store on Main Street he will pay 650 in rent and will charge 32$

ch4aika [34]

Answer: 35 t shirts

Step-by-step explanation:

Let number of t shirts be x

Let profit made be y

On main street, the store costs $650,

Selling the t shirt at $32 per 1

He would make a revenue of 32x

Profit = revenue - cost accrued

y1 = 32x - 650

On Broad street, the store costs $440,

Selling the t shirt at $26 per 1

He would make a revenue of 26x

Profit = revenue - cost accrued

y2 = 26x - 440

To make same profit on either location

y1 = y2

32x - 650 =26x - 440

32x -26x = -440+650

6x = 210

x = 210/6

= 35 t shirts

5 0

3 years ago