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lesya692 [45]
3 years ago
14

Solve by factoring 3x squared -5x-12=0

Mathematics
1 answer:
Goshia [24]3 years ago
8 0

Answer:

x = -\frac{4}{3} , 3

Step-by-step explanation:

We can factor 3x^{2} -5x-12  into two factors like below. (Notice how they can't be simplified any further.)

(3x + 4) (x - 3)

Now we need to find out what value of x would satisfy the equation, or make the problem equal to 0. If we multiply -\frac{4}{3} by 3, and add it to 4, then that equals 0. So, that must be one of the values of x. Next, if we replace x with 3 in the next factor, then it is 3-3, which equals 0 as well. So, that must be a solution as well.

This brings us to our solution of x = -\frac{4}{3} and 3.  Hope this made sense, not sure if I explained it that well.

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fredd [130]

Answer: 62+12w=242

Step-by-step explanation:

62+12w=242 is the equation

Solve

62+12w=242

12w=180

w=15

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Step-by-step explanation:

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The area of a square room is 125 square feet. To the nearest foot, what is the length of one side of the room?
ozzi

Answer:

Side = 5\sqrt5\ \text{feet}

Step-by-step explanation:

Given that,

Area of a square room is 125 square feet

We need to find the length of one side of the room.

The area of a square shaped room is given by :

A=x^2

Where, x is side of the square room

x=\sqrt{A} \\\\x=\sqrt{125}\\\\x=\sqrt{5\times 5\times 5}\\\\x=5\sqrt5\ \text{feet}

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3 years ago
Three equivalent ratios are shown on the graph
kvasek [131]

To plot more the points, we move up one and right two.

<h3>How to plot more the points?</h3>

The ratios are given as:

(1, 0.5), (2, 1), and (5, 2.5)

Calculate the slope (m) using:

m = \frac{y_2 -y_1}{x_2 -x_1}

So, we have:

m = \frac{1 - 0.5}{2 - 1}

Evaluate

m = \frac{0.5}{1}

This gives

m = \frac{1}{2}

The above means

Vertical : Horizontal = 1 : 2

This means a vertical movement of 1, followed by an horizontal movement of 1

Hence, to plot more the points, we move up one and right two.

Read more about equivalent ratios at:

brainly.com/question/13513438

#SPJ1

Complete question

Three equivalent ratios are shown on the graph. On a coordinate plane, points (1, 0.5), (2, 1), and (5, 2.5) are plotted. Starting on one of the plotted points, how can you plot more equivalent ratio points?

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