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Zigmanuir [339]
3 years ago
8

How do you get the slope-intercept form for -2x+3y=15? Please show steps and explain

Mathematics
1 answer:
lukranit [14]3 years ago
8 0

To convert an equation to slope intercept form, you have to isolate the y variable.

-2x + 3y = 15

Add 2x to both sides.

3y = 2x + 15

Divide all terms by 3.

<h3>y = 1.5x + 5 is the original equation in slope-intercept form.</h3>

I hope this answers your question!

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Solve for 2x^2-4x+5=6
Softa [21]
To solve for a variable, you need to get it (x) by itself.

2x² - 4x + 5 = 6   Subtract 6 from both sides
2x² - 4x - 1 = 0   Plug this into the Quadratic Formula

a = 2 , b = -4 , c = -1
x = \frac{-b \pm  \sqrt{b^2 - 4ac} }{2a}   Plug in your values
x = \frac{-(-4) \pm \sqrt{(-4)^2 - 4(2)(-1)} }{2(2)}   Simplify
x = \frac{4 \pm \sqrt{16 + 8} }{4}   Simplify
x = \frac{4 \pm 2\sqrt{6} }{4}   Simplify by removing a 2 from every term
x = \frac{2 \pm \sqrt{6} }{2}   Simplify by taking the fraction apart
x = \frac{2}{2}  \pm  \frac{ \sqrt{6} }{2}   Change \frac{2}{2} to 1
x = 1 \pm  \frac{ \sqrt{6} }{2}   Simplify \frac{ \sqrt{6} }{2} to \sqrt{ \frac{3}{2} }
x = 1 \pm \sqrt{ \frac{3}{2} }
4 0
3 years ago
Factor completely.<br> 4x^2 - 1
SVEN [57.7K]
The answer should be on Photomath
6 0
3 years ago
I need the answer please
Veseljchak [2.6K]
The trick to solving this problem is to know and remember that the sum of all the interior angles of a triangle is always 180 degrees.

Thus, (6x+1) + (5x-17) + (9x-24) = 180.

20x = -40, so x = -2 (answer)
7 0
3 years ago
A scientist needs 10 L of a solution that is 60% acid. She has a 50% acid solution and a 90% acid solution she can mix together
dybincka [34]

Allegation is a method to find the ratio in which two or more indignant are mixed to produce a mixture or solution.

The equation represents the total liters of acid that are needed is,

0.5x+0.9y=6

Thus the option 3 is the correct option.

<h3>What is allegation?</h3>

Allegation is a method to find the ratio in which two or more indignant are mixed to produce a mixture or solution.

Given information-

A scientist needs 10 L of a solution that is 60% acid.

The percentage of two acid solution are 50% and 90%.

Variable<em> x</em><em> </em>represent the number of liters of the 50% solution.

Variable<em> y </em>represent the number of liters of the 90% solution.

Quantity of acid from 50% solution is 0.5x liters, and quantity of acid from 90% solution is 0.9x liters.

As the scientist needs 10 L of a solution that is 60% acid. Therefore the quantity of acid in 60 percent acid solution is,

a=10\times\dfrac{60}{100} \\a=6

Thus 6 liters of acid required by the scientist. As to get the 6 liters of acid from 50% and 90 percent solution, we need to add the amount of acid in these solutions.Thus,

0.5x+0.9y=6

This is the required equation.

Hence the equation represents the total liters of acid that are needed is,

0.5x+0.9y=6

Thus the option 3 is the correct option.

Learn more about the mixture and allegation  here;

brainly.com/question/24372098

8 0
2 years ago
Find the coefficient of the x7y2term in the binomial expansion of (x+y)^9
statuscvo [17]

Answer:

36

Step-by-step explanation:

first, see the formula in the attached picture.

now, by applying that formula we get :

the coefficient of the x7y2 is :

9C7 = 36  (you can either use a calculator or just the algebraic formula)

8 0
2 years ago
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