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3 years ago

Solve the following: -3x(x-8)+7x=12

Mathematics

1 answer:

Anuta_ua [19.1K]3 years ago

4 0

Step-by-step explanation:

Hello there!

Solve for x:

-3x(x-8)-7x=12

-3x^2+24x-7x=12

-3x^2+17x+12=0

Can you factor it further?Feel free to ask questions in the comments.

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Multiply and reduce to lowest terms. Convert into a mixed number if necessary.

BlackZzzverrR [31]

Answer:

1 1/3

Step-by-step explanation:

2(8/12)=16/12=1 4/12=1 1/3

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2 years ago

Help. what is the inverse of:. y = (e^x)/(1+7e^x). . I got:. y = (e^x)/(1+7e^x). x = (e^y) / (1 + 7e^y). x + 7xe^y = e^y. x = e^

mezya [45]

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3 years ago

In a box of marbles, the ratio of red marbles to total marbles is 2:5. the ratio of green marbles to total marbles is 3:10. if t

STALIN [3.7K]

Ratio:

Red : Total
2 : 5
(x2) (x2)
4 : 10

Green : Total
3 : 10

Total of red and green marbles = 4 + 3 = 7

Blue marbles = 10 - 7 = 3

10 parts = 40 marbles
1 part = 40 ÷ 10 = 4
3 parts = 4 x 3 = 12

Answer: There are 12 blue marbles.

7 0

3 years ago

Which equations represent the line that is perpendicular to the line 5x − 2y = −6 and passes through the point (5, −4)? Check al

Alla [95]

Let's rewrite each equation in the Slope-Intercept Form of the Equation of a Line. First, let's start with the main equation:

$\bullet \ 5x-2y=-6 \therefore y=\frac{5}{2}x+3$

Then, our options are the following:

$A) \ y = -\frac{2}{5}x-2 \\ \\ B) \ 2x+5y=-10 \therefore y=-\frac{2}{5}x-2 \\ \\ C) \ 2x-5y=-10 \therefore y=\frac{2}{5}x+2 \\ \\ D) \ y+4=-\frac{2}{5}(x-5) \therefore y=-\frac{2}{5}x-2 \\ \\ E) \ y-4=\frac{5}{2}(x + 5) \therefore y=\frac{5}{2}x+\frac{33}{2}$

For two perpendicular lines it is true that the product of its slopes is:

$m_{1}m_{2}=-1$

$m_{1}m_{2}=-1 \\ \\ m_{1} \ is \ the \ slope \ of \ y=\frac{5}{2}x+3, \ that \ is, \ m_{1}=\frac{5}{2} \\ \\ Then, \ the \ slope \ of \ a \ perpendicular \ line \ is: \\ \\ m_{2}=-\frac{2}{5}$

According to this, only A) B) and D) might be the perpendicular lines we are looking for. Notice that these lines are the same. The other condition is that the line must pass through the point (5, -4). By substituting this point in the equation, we have:

$y = -\frac{2}{5}x-2 \\ \\ -4=-\frac{2}{5}(5)-2 \\ \\ -4=-2-2 \\ \\ \boxed{-4=-4} \ True!$

Finally, the right answer are:

$A) \ y = -\frac{2}{5}x-2 \\ \\ B) \ 2x+5y=-10 \\ \\ D) \ y+4=-\frac{2}{5}(x-5)$

8 0

3 years ago

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a rectangle Stone in a piece of costume jewelry has a width of 4/5 inch and an area of 7/10 square inch. is a silver wire with a

Dovator [93]

First, we must find the length and width of the stone. To do this, divide the area by the side that we know. 7/10*5/4 This comes to 7/8, the other side length. Adding 7/8 and 5/4 together and multiplying by two gives us the perimeter. This comes out to 17/4, or 4 and 1/4 inches. Therefore, 3.5 inches of wiring would not be enough. Please mark Brainliest!!!

6 0

3 years ago

Read 2 more answers