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Black_prince [1.1K]
3 years ago
10

The variables A, B, and C represent polynomials where A = x + 1, B = x2 + 2x − 1, and C = 2x. What is AB + C in simplest form?

Mathematics
2 answers:
topjm [15]3 years ago
3 0
AB + C
= (x + 1)(x^2 + 2x - 1)  +  2x
= x^3 + 2x^2 - x + x^2 + 2x - 1 + 2x
= x^3  + 3x^2 + 3x - 1
allsm [11]3 years ago
3 0

Answer:

C

Step-by-step explanation:

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Exercise 6
Lady_Fox [76]

a)\\\\x^2-2x-4=0\\\\x^2-2x=4\\\\x^2-2x+1^2=4+1^2\\\\(x-1)^2=5\\\\x-1=\pm\sqrt5\\\\\underline{x=\pm\sqrt5+1\approx-1.24\ or\ 3.24}\\\\\\b)\\\\x^2-4x-2=0\\\\x^2-4x=2\\\\x^2-4x+2^2=2+2^2\\\\(x-2)^2=6\\\\x-2=\pm\sqrt6\\\\\underline{x=\pm\sqrt6+2\approx-0.45\ or\ 4.45}

c)\\\\x^2+8x+5=0\\\\x^2+8x=-5\\\\x^2+8x+4^2=-5+4^2\\\\(x+4)^2=11\\\\ x+4=\pm\sqrt{11}\\\\\underline{x=\pm\sqrt{11}-4\approx-7.32\ or\ -0.68}\\\\\\x)\\\\x^2+22x-15=0\\\\x^2+22x=15\\\\x^2+22x+11^2=15+11^2\\\\(x+11)^2=136\\\\x+11=\pm\sqrt{136}\\\\\underline{x=\pm\sqrt{136}-11\approx-22.66\ or\ 0.66}

e)\\\\x^2-7x+10=0\\\\x^2-7x=-10\\\\x^2-7x+(\frac72)^2=-10+(\frac72)^2\\\\x^2-7x+(\frac72)^2=-10+(\frac72)^2\\\\(x-\frac72)^2=-\frac{20}4+\frac{49}4\\\\ (x-\frac72)^2=\frac{29}4\\\\x-\frac72=\pm\sqrt{\frac{29}4}\\\\ \underline{x=\pm\frac{\sqrt{29}}2+\frac72\approx6.19\ or\ 0.81}\\\\\\f)\\\\x^2+5x-2=0\\\\x^2+5x=2\\\\x^2+5x+(\frac52)^2=2+(\frac52)^2\\\\(x+\frac52)^2=2+6.25 \\\\x+\frac52=\pm\sqrt{8.25}\\\\\underline{x=\pm\sqrt{8.25}-\frac52\approx-5.37\ or\ 0.37}

g)\\\\x^2+9x-4=0\\\\x^2+9x=4\\\\x^2+9x+(\frac92)^2=4+(\frac92)^2\\\\(x+\frac92)^2=4+20.25\\\\x+\frac92=\pm\sqrt{24.25}\\\\\underline{x=\pm\sqrt{24.25}-4.5\approx-9.42\ or\ 0.52}

h)\\\\x^2-3x-6=0\\\\x^2-3x=6\\\\x^2-3x+(\frac32)^2=6+(\frac32)^2\\\\(x-\frac32)&^2=6+2.25\\\\x-\frac32=\pm\sqrt{8.25}\\\\ \underline{x=\pm\sqrt{8.25}+1.5\approx4.37\ or-1.37}

3 0
3 years ago
Yesterday, Juana sold 84 hot chocolate during her shift at work. If she worked from 7:00 am to 3:00 pm with an hour break for lu
spin [16.1K]
She worked from 7 AM to 3 PM meaning she worked a total of 9 hours. However, since she had an hour lunch break, she only worked 8 hours. 84 divided by 8 is equal to 10.5.

So she sold an average of 10.5 hot chocolates an hour.

Hope this helps! :)
8 0
3 years ago
3
gregori [183]
Far left and far right.
Have a gud day!
7 0
3 years ago
Read 2 more answers
I need help with this
Leni [432]

Answer:

1. Mean: 18 Range: 143

Step-by-step explanation:

So I can't do all these problems for you but I'll do the first one.

So basically to find the mean add all of the numbers together and divide by the number of numbers.

For example, if the numbers were 1, 2, 3, 4 you would do:

1 + 2 + 3 + 4 = 10

divide by the number of numbers (4 numbers):

10 / 4 = 2.5

so the mean of that example set is 2.5

The range of a set of numbers is the difference between the least and greatest:

From the example before, the set 1, 2, 3, 4 would have a range of 4 - 1 = 3.

For question 1, you start by adding all the numbers:

you get 162.

Then, divide by 9 because there are 9 numbers:

162/9 = 18

Range: the least number is -76 and the greatest number is 67, so the range is:

67 - (-76) = 143

5 0
3 years ago
Which statement best describes the relationship between the number of cookies eaten and the number of calories consumed?
frutty [35]
Answer: As the number of cookies eaten increases, the calories consumed increases.


This is because the number of cookies and calories consumed have a directly proportional relationship, meaning that if one value increases, so does the other.
5 0
3 years ago
Read 2 more answers
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