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Soloha48 [4]
3 years ago
9

9

Mathematics
1 answer:
Vesnalui [34]3 years ago
7 0

Answer:

Its B

Step-by-step explanation:

Because

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What are the correct answers and why? Simple and concise explanation please!!!
dezoksy [38]

Answer:

\large\boxed{-\bigg[(x-3)^2+2x\bigg]+1}\\\\\boxed{-x^2+4x-8}

Step-by-step explanation:

(g\ \circ\ f)(x)=g\bigg(f(x)\bigg)

f(x)=(x-3)^2+2x\\\\g(x)=-x+1\\\\g\ \circ\ f\to\text{put f(x) instead of x in the function g(x)}:\\\\(g\ \circ\ f)(x)=-\bigg[\underbrace{(x-3)^2+2x}_{x}\bigg]+1

-----------------------------------------

-\bigg[(x-3)^2+2x\bigg]+1=-(x-3)^2-2x+1\\\\\text{use}\ (a-b)^2=a^2-2ab+b^2\\\\=-(x^2-(2)(x)(3)+3^2)-2x+1=-(x^2-6x+9)-2x+1\\\\=-x^2-(-6x)-9-2x+1=-x^2+6x-9-2x+1\\\\\text{combine like terms}\\\\=-x^2+(6x-2x)+(-9+1)=-x^2+4x-8

-----------------------------------

-x^2+4x-8=-x^2+4x-2^2+2^2-8=-(x^2-4x+2^2)+4-8\\\\=-(\underbrace{x^2-(2)(x)(2)+2^2}_{(a-b)^2=a^2-2ab+b^2})-4=-(x-2)^2-4=-(x+1-3)^2-4

In\ (-x+1-3)^2+2x,\ x^2\ will\ be\ positive.\\In\ (-x+1-3)^2+2(-x+1),\ x^2\ will\ be\ positive.

6 0
2 years ago
Read 2 more answers
Based on the Census, state A has 17 fewer electoral votes for president then state B. If the total number of electoral votes for
makkiz [27]
X = B.......x - 17 = A

x + x - 17 = 87
2x - 17 = 87
2x = 87 + 17
2x = 104
x = 104/2
x = 52........so state B has 52 electoral votes

x - 17 = A
52 - 17 = A
35 = A.....so state A has 35 electoral votes



6 0
3 years ago
Help find the surface area
zhenek [66]
Surface area is the sum of the areas of all faces (or surfaces) on a 3D shape. A cuboid has 6 rectangular faces. To find the surface area of a cuboid, add the areas of all 6 faces. We can also label the length (l), width (w), and height (h) of the prism and use the formula, SA=2lw+2lh+2hw, to find the surface area.
8 0
2 years ago
Read 2 more answers
I have a pile of 20 coins that includes dimes and quarters. The coins total is $2.75. How many quarters do I have?
Ilia_Sergeevich [38]
You have 5 quarters which equals 25 cents each. Which in total comes to $1.25.
You have 15 dimes which is worth 10 cents each.
Which in total comes to $1.50.
$1.50
+$1.25
=$2.75
5 0
3 years ago
Are the two terms on each tile like terms? Sort the tiles into the appropriate categories.
o-na [289]

Answer:

Like terms: -7y^2 and y^2, 0.5kt and -10kt, 6 and 9

Not like terms: -4p and p^2, 5x and 5, 3ad and 2bd

Step-by-step explanation:

Two or more terms are called like terms if they have same variables and powers.

-7y^2 and y^2 are like terms because they have same variable y with same power 2.

-4p and p^2 are not like terms because they have same variable y with different powers.

0.5kt and -10kt are like terms because they have same variables kt with same power 1.

6 and 9 are like terms because both are constant.

5x and 5 are not like terms because one have variable and other is constant.

3ad and 2bd are not like terms because they have different variables.

Like terms: -7y^2 and y^2, 0.5kt and -10kt, 6 and 9

Not like terms: -4p and p^2, 5x and 5, 3ad and 2bd

7 0
2 years ago
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