1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
const2013 [10]
2 years ago
15

Find the quotient when x2 + 10x + 21 is divided by x + 7

Mathematics
1 answer:
andriy [413]2 years ago
6 0
<h3>Answer:   x+3</h3>

==================================================

Work Shown:

x^2+10x+21 factors to (x+3)(x+7) since

7+3 = 10 and 7*3 = 21

Or you can use the FOIL rule to see that (x+3)(x+7) expands to x^2+10x+21

When we divide x^2+10x+21 over x+7, we get,

\frac{x^2+10x+21}{x+7} = \frac{(x+3)(x+7)}{x+7} = x+3

a pair of (x+7) terms cancel out when we divide

The quotient is x+3

The remainder is 0

See the diagram below for the long division table

You might be interested in
I found a place that will give me a 20 percent discount if i spend over 50 dollars. My bill is 75 dollars. How much money will i
const2013 [10]
X of 20% = y
x - y = 75

x = total amount
y = discounted amount

x * 20/100 = y
x * 0.2 = y
replace y with 0.2x in other equation

x - y = 75
1x - 0.2x = 75
0.80x = 75
x = 75/.8
x = 93.75


Check:
93.75 * 20/100 = 18.75
93.75 - 18.75 = 75
x = 93.75
y = 18.75

Answer: Total amount without discount is $93.75

//BTW not sure about this, but kind of make sense

6 0
3 years ago
Need help with this im confused
Jet001 [13]

Answer:

-\frac34 -\frac14 i

Step-by-step explanation:

Let's start with distributing: \frac1{4i}-\frac{3i}{4i} Simplify i with i in the second term, and rearrange.-\frac34 +\frac1{4i}. Since i in the denominator looks ugly, let's multiply top and bottom by i. -\frac34 +\frac i{4i^2} = -\frac34 +\frac i{4(-1)} =-\frac34 -\frac14 i. The middle passage is based on the fact that, by definition, i^2=-1

6 0
3 years ago
In Omak the sales tax is 8.4%. What is the total cost including tax Aakel spent on a $48 purchase?
Vikki [24]

Answer:

$52.03

Step-by-step explanation:

1. Approach

To solve this problem, first one needs to calculate the sales tax, then one must add that to the amount spent on the purchase. To calculate sales tax, one must convert the percent to decimal form, this can be done by dividing the percent by 100. Then one will multiply the decimal by the amount spent.

2. Find the tax

As states above; to calculate sales tax, one must convert the percent to decimal form, this can be done by dividing the percent by 100. Then one will multiply the decimal by the amount spent.

<u>a. convert percent to decimal</u>

8.4 / 100 = 0.084

<u>b. multiply the decimal by the amount spent</u>

48 * 0.084 = 4.032

The amount spent on sales tax is, $4.032

3. Find the total amount spent

Now all one has to do is add the amount spent in tax by the amount spent on the purchase.

48 + 4.032 = 52.032

Since money is only spent rounded to the second decimal point, one has to round the number;

52.03

6 0
2 years ago
Idk this pls help don’t understand.
lawyer [7]

Answer: 60, but I got other answers to but 60 was my first.

sorry if wrong.

Step-by-step explanation:

7 0
2 years ago
PLZ HELP DUE AT 12
aleksandrvk [35]

Answer:

The first one would be m^30n^20p^30  

And the second one would be a^2 / d^4  

Step-by-step explanation:

For 1, you have to multiply the inner exponents by the outer one so you get (m^12n^8) times (m^18n^12p^30). Then you mutiply the two together, so you add the exponents, where you get m^30n^20p^30.

For 2, since you're dividing, you have to subtract the exponents so you get a^2d^-4, but since you shouldn't have the negative you turn it into a^2 / d^4

Hope this helps :)

4 0
3 years ago
Other questions:
  • Please help me.
    11·1 answer
  • What is f and x in f(x)= 7
    6·1 answer
  • Solve by elimination method 5x-2y=11, 3x+4y=4.​
    5·1 answer
  • How to Prove that the base angles of an isosceles triangle are congruent?.
    12·1 answer
  • Show all work <br><br> 14 +18 - 2 x 18 -7
    13·1 answer
  • What is the value of x? NO LINKS IF YOU DO I AM REPORTING
    8·1 answer
  • Nalini is a real estate agent. She is paid
    6·1 answer
  • State a,b, and the y-intercept then graph the function on a graphing calculator<br>​
    14·2 answers
  • Kimmy has 2 bags of candy. One of the bags has 4 2/3 pounds of candy and the other bag has 3 7/9
    5·1 answer
  • Plz help!! 30 points!!
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!