All categories

3 years ago

How do you simplify x^2-4x-21 divided by x+3

1 answer:

6 0

We can factor x^2-4x-21 to get (x+3)(x-7)

Notice how
3 plus -7 = -4
3 times -7 = -21
which helps us factor the trinomial

After you've factored it, we can cancel out a pair of (x+3) terms leaving us with the final answer of x-7

Note: the cancellation happens because (x+3)/(x+3) = 1. Divide anything (except 0) over itself and you'll get 1. A simpler example of this is 5/5 = 1.

You might be interested in

Write 6.562 rounded to the nearest hundredth.

Zigmanuir [339]

Answer:

The answer is 6.56!

I hope this helps!

p.s. have any more questions? Post the question and comment the link below!

Ciao!

♥, Sadie

3 0

3 years ago

Read 2 more answers

What is the answer plz I really need help

Liono4ka [1.6K]

6) slope is 1, y-intercept is 3, equation in slope-intercept form:

$y=x+3$

7) Slope of the line that goes through the points (3,9) and (-5,3) is $Slope=\frac{3}{4}$

8) Slope = m= $\frac{2}{3}$

y-intercept = b= -4

Step-by-step explanation:

6) Create table of coordinate points:

x y

-2 1

-1 2

0 3

1 4

2 5

Identify the slope:

Using formula:

$Slope=\frac{y_2-y_1}{x_2-x_1}$

Putting values:

$Slope=\frac{2-1}{-1-(-2)}$

$Slope=\frac{1}{-1+2}$

$Slope=\frac{1}{1}$

$Slope=1$

So, slope is 1

Identify y-intercept.

y-intercept is found when x=0, so, looking at the table when x = 0, y= 3 so, y-intercept is 3

Equation in the form: y=mx+b

here m is slope and b is y-intercept

Putting values:

$y=mx+b\\y=1x+3\\or\,\,y=x+3$

So, equation in slope-intercept form:

$y=x+3$

7) Find the slope of the line that goes through the points (3,9) and (-5,3)

Using formula:

$Slope=\frac{y_2-y_1}{x_2-x_1}$

Putting values:

$Slope=\frac{3-9}{-5-(3)}$

$Slope=\frac{-6}{-5-3}$

$Slope=\frac{-6}{-8}$

$Slope=\frac{3}{4}$

So, slope of the line that goes through the points (3,9) and (-5,3) is $Slope=\frac{3}{4}$

8) What is the slope and y-intercept of the following equation:

$y=\frac{2}{3}x-4$

The equation is in slope-intercept form

The general equation of slope-intercept form is:

$y=mx+b$

where m is slope and b is y-intercept

Comparing both equations we get:

Slope = m= $\frac{2}{3}$

y-intercept = b= -4

Keywords: Equation of line using Slope

Learn more about Equation of line using Slope at:

#learnwithBrainly

5 0

4 years ago

The harmony hotel has a total of 1569 rooms. There are 42 rooms on each floor. How many floors does the Harmony Hotel have?

alexandr402 [8]

Answer:

it has about 37 floors.

Step-by-step explanation:

1569 divided by 42 is 37.36.

4 0

3 years ago

Read 2 more answers

Stuco wants to start a new project to help with trash removal. They need $15 to buy supplies at the local landfill and they char

LuckyWell [14K]

Answer:

$17,640

Step-by-step explanation:

Stuco wants to start a new project to help with trash removal. They need $15 to buy supplies at the local landfill and they charge 75 per pound. If the Senior Class collects 235 pounds of trash, the cost is going to be $17,640.

235 ⋅ 75 = 17,625

17,625 + 15 = 17,640

Therefore, the answer is $17,640.

3 0

3 years ago

For which function is f(x) equal to f-1(x)?

Readme [11.4K]

Let's solve for f.
y=f−1x
Step 1: Flip the equation.
f−x=y
Step 2: Add x to both sides.
f−x+x=y+x
f=x+y
Answer:
f=x+y

6 0

3 years ago