What does the slope of the equation represent?

NemiM [27]

16 + 4x + 2x - 3x + x = 0

First, simplify 16 + 4x + 2x - 3x + x to get 16 + 4x. / Your problem should look like: 16 + 4x = 0
Second, subtract 16 from both sides. / Your problem should look like: 4x = -16
Third, divide both sides by 4. / Your problem should look like: x = $-\frac{16}{4}$
Fourth, simplify $\frac{16}{4}$ to get 4. / Your problem should look like: x = -4

Answer: x = -4

4 0

3 years ago

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Value was added to both sides of the equation x^2-8x=-10 in order to solve by completing the square

Delvig [45]

x^2-8x=-10

take (-8/2) ^2

-4^2

16

Choice B

4 0

3 years ago

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Riley makes a mistake in step 2 while doing her homework. what was her mistake? startfraction x over x squared minus 5 x 6 endfr

maw [93]

The mathematical mistake that Riley made is that:
"She used the wrong common denominator." (Option A)

<h3>What is a Common Denominator?</h3>

A common denominator is a factor that is similar to all the fractions in the sequence of equations.

Hence the correct answer is:

(2(2x² - 6x + 9))/((x-3) (x-2) (x+3))

See the correct sequence of steps below:

Step One - the Expression is given as:

(x/(x-3)(x-2)) + (3/(x+3))

Step 2 - Find the common denominator and rewrite the expression so that the numerators are above the common denominators.

Hence we have: (x (x+3) + 3(x-3) (x-2))/(x-3)(x-2)(x+3)

Step 3 Apply the Law of Multiplicative Distribution:

Hence we have (x² +3x+3x²-9x-6x+16)/(x-3)(x-2)(x+3)

Step 4 - Collect Like Items

This gives us: (x²+3x²)+(3x-9x-6x)+18/(x-3)(x-2)(x+3)

Step 5 Sort for like coefficients

This gives us: ((1+3)x² +(3-9-6) * x + 18)/(x-3)(x-2)(x+3)

Step 6 - check for the sum or difference

This gives us: (4x²+(3-9-6) * x+ 18)/(x-3)(x-2)(x+3)

We simplify and factor the expression to get

(2(2x²-6x+6)/(x-3)(x-2)(x+3).

See the attached for full question.

Learn more about Common Denominators at:

brainly.com/question/542317

4 0

2 years ago

What is the ratio of the circumferences for two circles with areas 6pi m2 and 150pi m2?

kramer

Answer:

c

Step-by-step explanation:

8 0

3 years ago

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The owners of a recreation area are filling a small pond with water. Let WB the total amount of water in the pond(in liters). Le

alexira [117]

Answer:

As we can see the domain is the: "number of minutes water has been added". And from the information given the values for T are between 0 and 60 so then the set of values would be "the set of all real numbers from 0 to 60", and we start from 0 because the time can't be negative.

For the range who represent "amount of water in the pond (in liters)" we need to analyze the possible values for W, since T is defined between 0 and 60 the limits for W are:

$W(0)=35*0+300=300$

$W(60)=35*60+300=2400$

So then the set of values for the range are "the set of all real numbers from 300 to 2400" liters.

Step-by-step explanation:

Assuming this complete problem: "The owners of a recreation area are filling a small pond with water. Let W be the total amount of water in the pond (in liters). Let T be the total number of minutes that water has been added. Suppose that gives as a W function of during the next 60 minutes.

Identify the correct description of the values in both the domain and range of the function. Then, for each, choose the most appropriate set of values. "

Solution to the problem

As we can see the domain is the: "number of minutes water has been added". And from the information given the values for T are between 0 and 60 so then the set of values would be "the set of all real numbers from 0 to 60", and we start from 0 because the time can't be negative.

For the range who represent "amount of water in the pond (in liters)" we need to analyze the possible values for W, since T is defined between 0 and 60 the limits for W are:

$W(0)=35*0+300=300$

$W(60)=35*60+300=2400$

So then the set of values for the range are "the set of all real numbers from 300 to 2400" liters.

8 0

2 years ago

What does the slope of the equation represent?​

What does the slope of the equation represent?