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3 years ago

HELLPPPPP Write the equation y=-3/4x+2 in standard form.

Mathematics

1 answer:

Karo-lina-s [1.5K]3 years ago

3 0

The standard form is 3x+4y=8

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-3|9x-7|=2 Find the answer for x

labwork [276]

<h2>Solving Equations with Absolute Expressions</h2><h3>Answer:</h3>

No Solutions

<h3>Step-by-step explanation:</h3>

Given:

$-3|9x -7| = 2$

Rewriting the given equation:

$-3|9x -7| = 2 \\ |9x -7| = -\frac{2}{3}$

We have to realize that the right side of the equation, $|9x -7|$ , will always be positive no matter what real values of $x$ (because we're taking the absolute value of the expression) and we are equating it to a negative constant number, $-\frac{2}{3}\\$ . Something that is always positive will never be negative so there's no value for $x$ that satisfies the solution.

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You may not read the following passage that I have written.

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Solving by positive of the expression:

$9x -7 = -\frac{2}{3} \\ 9x = -\frac{2}{3} +7 \\ 9x = -\frac{2}{3} +\frac{21}{3} \\ 9x = \frac{19}{3} \\ 9x \times \frac{1}{9} = \frac{19}{3} \times \frac{1}{9} \\ x = \frac{19}{27}$

Solving by the negative of the expression:

$-(9x -7)= -\frac{2}{3} \\ 9x -7 = \frac{2}{3} \\ 9x = \frac{2}{3} +7 \\ 9x = \frac{2}{3} +\frac{21}{3} \\ 9x = \frac{23}{3} \\ 9x \times \frac{1}{9} = \frac{23}{3} \times \frac{1}{9} \\ x = \frac{23}{27}$

Checking: $x = \frac{19}{27}\\$

$-3|9(\frac{19}{27}) -7| \stackrel{?}{=} 2 \\ -3|\frac{19}{3} -7| \stackrel{?}{=} 2 \\ -3|\frac{19}{3} -\frac{21}{3}| \stackrel{?}{=} 2 \\ -3|-\frac{2}{3}| \stackrel{?}{=} \\ -3(\frac{2}{3}) \stackrel{?}{=} 2 \\ -2 \stackrel{?}{=} 2 \\ -2 \neq 2$

$x = \frac{19}{27}\\$ is an extraneous solution.

Checking: $x = \frac{23}{27}\\$

$-3|9(\frac{23}{27}) -7| \stackrel{?}{=} 2 \\ -3|\frac{23}{3} -7| \stackrel{?}{=} 2 \\ -3|\frac{23}{3} -\frac{21}{3}| \stackrel{?}{=} 2 \\ -3|\frac{2}{3}| \stackrel{?}{=} \\ -3(\frac{2}{3}) \stackrel{?}{=} 2 \\ -2 \stackrel{?}{=} 2 \\ -2 \neq 2$

$x = \frac{23}{27}\\$ is an extraneous solution.

8 0

3 years ago

On monday ,jan made wgitmddrawls of $25,$45 and $75 from her savings account .On the sane day, het twin sister lola made withdra

Dafna11 [192]

Part (a):
We will assume that the total amount is Jan's saving account is "m"
Now, "withdrawal" means that she took money from her account, which means that the amount of money in her account decreased by the amount she withdrew.
Sum of negative integers to show her withdrawals = -25$ - 45$ - 75$
Amount of money remaining in her account = m - 145$
The amount of money Jan withdrew = 25$ + 45$ + 75$ = 145$

Part (b):
We will assume that the total amount is Lola's saving account is "n"
Now, "withdrawal" means that she took money from her account, which means that the amount of money in her account decreased by the amount she withdrew.
Sum of negative integers to show her withdrawals = -35$ - 55$ - 65$
Amount of money remaining in her account = n - 155$
The amount of money Lola withdrew = 35$ + 55$ + 65$ = 155$

7 0

3 years ago

X – 10y = 18 -6x – 10y = 32

viva [34]

Answer:

Step-by-step explanation:

$x - 10y = 18$

$-6x - 10y = 32$

Since both equations have $-10y$ , we can subtract the second equation from the first to try and solve for $x$ :

$(x - 10y) - (-6x - 10y) = 18 - 32$

$x - 10y + 6x + 10y = -14$

$7x = -14$

$x = -2$

With this, we can plug the value back into the first equation to solve for $y$ :

$(-2) - 10y = 18$

$-2 - 10y = 18$

$-10y = 20$

$y = -2$

Therefore, the solution is $x = -2, y = -2$

8 0

3 years ago

What is the slope of the line through -2, one and two, -5 in the center of X, Y coordinate plane

kkurt [141]

Answer:

m = -3/2

Step-by-step explanation:

Points: (-2,1) and (2,-5)

Slope is change in y over change in x,

(-5-1)/(2-(-2)) = -6/4 = -3/2

Hope this helps!

4 0

3 years ago

An inverse variation function has a k value of 8. Which ordered pair is on the graph of the function?

Sladkaya [172]

For inverse variation, we use the equation y = k/x, again, with k as the constant of proportionality. When one variable increases the other decreases in proportion so that the product is unchanged. Therefore, it would be the last option the correct answer.

y = k / x
2 = k / 4
k = 8

4 0

3 years ago

Read 2 more answers