If f(x)=2x^2−3x+1 and g(x)=x+5, what is f(g(x))?

Answers

Answer 1

Answer: If $f(x)=2x^(2)-3x+1,$ then

$f(g(x))=2[g(x)]^(2)-3g(x)+1\n \n f(g(x))=2(x+5)^(2)-3(x+5)+1\n \n f(g(x))=2(x^(2)+10x+25)-3(x+5)+1\n \n f(g(x))=2x^(2)+20x+50-3x-15+1\n \n f(g(x))=2x^(2)+20x-3x+50-15+1\n \n \boxed{\begin{array}{c}f(g(x))=2x^(2)+17x+36 \end{array}}$

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A rhombus has a perimeter of 217 cm. what is the length of each side of the rhombus

Answers

A rhombus has 4 equal sides.
The perimeter is the side lengths added together.

P = s + s + s + s
P = 4s
217 = 4s

Divide by 4 to find the length of one side.

s = 54.25 cm

???????????? Can I has h

Answers

Rectangle sides have length 12 and 6, so it's perimeter is 2*12+2*6=24+12=36

Square has 4 sides equal in length so we divide 36/4=9

Length of each side of the square is 9 in.

It is not necessary to put so many question marks into question :)

$the\ perimeter\ of\ a\ rectangle=the\ perimeter\ of\ a\ square\n\n2\cdot(12+6)=4x\n\n2\cdot18=4x\ \ \ \Rightarrow\ \ \ 4x=36\ /:4\ \ \ \ \Rightarrow\ \ \ x=9\n\nAns.\ the\ length\ of\ each\ side\ of\ a\ square\ is\ 9\ in.$

What expressions are equivalent to 1/ 2(6)

Answers

1/2(6) is equal to 3
any expressions equal to three would be equivalent to 1/2(6)

A number cube is rolled and a coin is flipped. Possible outcomes How many possible outcomes are there? What are the missing table values?

Answers

A number cube has 6 faces and a coin has 2 faces.
Number of possible outcomes is 6 x 2 = 12

How many possible outcomes are there?

[12]

What are the missing table values?

a = H2

b = T6

A circle with diameter 11 inches.What is the approximate area of the circle? Use 3.14 for Pi and round the answer to the nearest tenth.
17.3 in2
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