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deff fn [24]
3 years ago
10

How do I finish this problem? I keep getting stumped here

Mathematics
2 answers:
prisoha [69]3 years ago
5 0
I believe you would Add like terms so 4x^2-4x-3
castortr0y [4]3 years ago
5 0
1.)Break the expression into groups 
(4x^2+2x)+(-6x-3)
2.) Factor out
2x(2x+1)-3(2x+1)
3.)Factor out common term 
(2x+1)(2x-3)

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Write the following quotient in the form a+bi.<br> -7i/2-7i
Helga [31]

Answer:

\large\boxed{\dfrac{49}{53}-\dfrac{14}{53}i}

Step-by-step explanation:

\text{Use}\\\\i=\sqrt{-1}\to i^2=-1\\\\(a-b)(a+b)=a^2-b^2\to(a-bi)(a+bi)=a^2+b^2\\\\\text{distributive property}\ a(b+c)=ab+ac\\---------------------\\\\\dfrac{-7i}{2-7i}=\dfrac{-7i}{2-7i}\cdot\dfrac{2+7i}{2+7i}=\dfrac{-7i(2+7i)}{2^2+7^2}=\dfrac{(-7i)(2)+(-7i)(7i)}{4+49}\\\\=\dfrac{-14i-49i^2}{53}=\dfrac{-14i-49(-1)}{53}=\dfrac{-14i+49}{53}\\\\=\dfrac{49}{53}-\dfrac{14}{53}i

8 0
3 years ago
Read 2 more answers
A survey found that 12 out of every 15 people in the united States prefer eating at a restaurant over cooking at home. if 400 pe
I am Lyosha [343]
500 people took the survey.

12 out of 15 people is 80% of the population.  12/15 = 0.80
Thus, 80% of the population prefers eating in the restaurant.
 
If 400 represents the people who prefers eating in the restaurant; then, 400 is the 80% of the population. To get the total population or 100%, we must divide 400 by 0.80 or 80%

400 / 0.80 = 500 people.

Out of the 500 people, 400 selected eating in the restaurant while the remaining 20% of the population or 100 people selected cooking at home.
4 0
3 years ago
Read 2 more answers
What is the value of x?​
Kazeer [188]

Answer:

Step-by-step explanation:

The volume of a sphere is

V=\frac{4}{3}\pi r^3

We are told our volume is 500pi/3, so we fill that in and solve for r:

\frac{500\pi}{3}=\frac{4}{3}\pi r^3

Start by multiplying both sides by 3 over 4 pi:

(\frac{3}{4\pi})\frac{500\pi}{3}=(\frac{3}{4\pi})\frac{4\pi}{3}r^3

Simplifying gives us

125=r^3

Take the cubed root of both sides to get that

r = 5

6 0
3 years ago
Can someone plz help me
Colt1911 [192]

Answer:

x is less than or equal to negative 14.

Step-by-step explanation:

so for now we should pretend that the greater than or equal to is an equal sign, and simplify the problem to get x alone on a side

remove 5 from each side

-x/3=1/3-5

-x/3=14/3

multiply both sides by 3

-x=14

x=-14

so we can now replace the equal sign with the equal or greater to, so x is less than or equal to -14

4 0
3 years ago
Ray Cupple bought a basic car costing $26,500.00, with options costing $725.00. There is a 6% sales tax in his state and a combi
Alenkinab [10]
Given:
cost:                        26,500
option:                  <u>        725</u>
total                         27,225
tax  (27,225 * 6%)<u>     1,633.50</u>
total                         28,858.50
license & reg. fee <u>          50.00</u>
total cost               28,908.50  Choice D.

5 0
3 years ago
Read 2 more answers
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