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3 years ago

What is the solution to the system of equations below? -4x+6y=-18 and y=-2x+21 plz explain!

Mathematics

2 answers:

yKpoI14uk [10]3 years ago

4 0

Simple...

work is attached. :D

Mazyrski [523]3 years ago

4 0

We are given the value of y.....y = -2x + 21...so we are going to sub in -2x + 21 in for y in the other equation.

-4x + 6y = -18
-4x + 6(-2x + 21) = -18....now we distribute through the parenthesis.
-4x - 12x + 126 = -18... simplify
-16x + 126 = -18.....subtract 126 from both sides
-16x + 126 - 126 = -18 - 126....simplify
-16x = -144...now divide both sides by -16
(-16/-16)x = -144/-16...simplify
x = 9

now we can use either equation...sub in 9 for x and solve for y
y = -2x + 21
y = -2(9) + 21
y = -18 + 21
y = 3

now we can check our answers...
-4x + 6y = -18
-4(9) + 6(3) = -18
-36 + 18 = -18
-18 = -18 (correct)

so ur solution is : (9,3)

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Answer:

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Step-by-step explanation:

Simplify:

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$=2x-7-\left(4x^2+6x-3\right)+x^2+4$

Group same factor:

$=-\left(4x^2+6x-3\right)+x^2+2x-7+4$

Add :

$=-\left(4x^2+6x-3\right)+x^2+2x-3$

Apply the distributive law: -(a+b) = -a - b

$-\left(4x^2+6x-3\right)=-4x^2-6x+3$

$=-4x^2-6x+3+x^2+2x-3$

Group same factor:

$=-4x^2+x^2-6x+2x+3-3$

Subtract:

$=-4x^2+x^2-6x+2x$

Add:

$=-3x^2-6x+2x$

Group same factor:

$=-3x^2-4x$

Hence answer = $-3x^2-4x$

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Romashka-Z-Leto [24]

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3 years ago

The shape of the distribution of the time required to get an oil change at a 10 minute oil change facility is unknown. However,

lyudmila [28]

Answer:

The answer is below

Step-by-step explanation:

a) For a normal model the sample size has to be equal or greater than 30 so that it can be a normal distribution.

b) Given that:

μ = 11.2 minutes, σ = 4.8 minutes, n = 45

The z score determines how many standard deviations the raw score is above or below the mean. It is given by:

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3 years ago

Which expression is equivalent to (18)2⋅(19)2

sladkih [1.3K]

The expression that is equivalent to the given expression where the expression is given as (18)2⋅(19)2 is (18 * 19)^2

<h3>How to determine which expression is equivalent to the given expression? </h3>

The expression is given as

(18)2⋅(19)2

Rewrite the above expression properly

So, we have

(18)^2 * (19)^2

The factors in the above expression have the same exponent.

So, the expression can be rewritten as

(18 * 19)^2

Hence, the expression that is equivalent to the given expression where the expression is given as (18)2⋅(19)2 is (18 * 19)^2

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irina [24]

Answer:

The distance between the end of the ramp and the bottom of the platform is about 9.8 feet

Step-by-step explanation:

use the pythagorean theorem (a²+b²=c²) to solve

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plug in given values:

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solve for x:

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