MATHEMATICS HIGH SCHOOL

Hi, may someone help me with this question? Thank you!:)“If f(x) = x^2 + 7, find f(x+2)”

Answers

Answer 1

Answer:

Answer:

=x^2 +4x+11

Step-by-step explanation:

f(x) = x^2 + 7,

Replace x with x+2

f(x+2) = (x+2)^2 + 7

= (x+2)(x+2) +7

FOIL

= x^2 +2x+2x+4 +7

Combine like terms

=x^2 +4x+11

Answer 2

Answer:

Answer:

$f(x+2)=x^2+4x+11$

Step-by-step explanation:

In $f(x)=x^2+7$ , for all values of $x$ , we substitute $x$ (what is in the parentheses) into $x^2+7$ to output a $y$ value.

In $f(x+2)$ , the term $(x+2)$ is in the parentheses. Therefore, substitute $(x+2)$ for $x$ in $x^2+7$ to find $f(x+2)$ :

$f(x+2)=(x+2)^2+7$

Expand using $(a+b)^2=a^2+2ab+b^2$ ,

$f(x+2)=x^2+4x+4+7$

Combine like terms:

$\boxed{f(x+2)=x^2+4x+11}$

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Kelly and 23 friends go roller skating.They pay a total of 186 dollars. About how much does it cost for one person to skate?

Answers

You need to figure out the unit rate so you need to:
1. divide 186 by 23= 8.08695....
2. You only need to figure out the answer to the hundredth of a percent so you would round and get $8.09
3. The answer is $8.09

To do this first you must find the total number of people 23+1=24 so there are 24 people they paid 186 total divide this by 24 and you get 7.75 so each skate cost $7.75

X= $(1)/(2+√(3) )$
y= $(1)/(2-√(3) )$

x+y=

Answers

Answer:

4

Step-by-step explanation:

Simplify x and y by rationalising the denominator of both

To rationalise the denominator multiply the numerator/ denominator by the conjugate of the denominator.

The conjugate of 2 + $√(3)$ is 2 - $√(3)$

The conjugate of 2 - $√(3)$ is 2 + $√(3)$

x = $(1(2-√(3)) )/((2+√(3))(2-√(3)) )$ = $(2-√(3) )/(4-3)$ = 2 - $√(3)$

y = $(1(2+√(3)) )/((2-√(3))(2+√(3)) )$ = $(2+√(3) )/(4-3)$ = 2 + $√(3)$

Thus

x + y = 2 - $√(3)$ + 2 + $√(3)$ = 4

If a point is in the fourth quadrant,then it's coordinates are negative?

Answers

x is positive and y is negative in quadrant IV

Q1: (positive, positive)
Q2:(negative, positive)
Q3:(negative,negative)
Q4:(positive,negative)

there were 7 roses in the vase. Jessica cut some more roses from her flower garden. there are now 15 roses in the vase. how many roses did she cut?

Answers

Answer:

Jessica cut 8 roses.

Step-by-step explanation:

15-7=8

You have to subtract the amount she cut from the flower garden (15) to the amount which the vase had (7), in which you will get an answer of 8.

What is the definition of rhombus?

Answers

A rhombus is a parallelogram with all sides equal.

DEFINITION

rhombus is a parallelogram with four sided equal a parallelogram whose all sides are equal is called a rhombus

PROPERTIES

all side are equal length

each pair of opposite sides are equal

opposite angles are equal

diagonals of a rhombus are perpendicular bisector each other

$area \: (1)/(2) * product \: of \: diognal$

In the library there are 200 books. 58 of them are non-fiction. What percentage of the books are non-fiction?

Answers

58/200 is 29/100 which is 29%.
29% = Non-Fiction

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