For the function y = x + 9, what is the output value if 4 is the input value? y = 5
y = 13
y = 36
y = 49

Answers

Answer 1

Answer: y = 13.

Explanation
Replacing the value x with 4 in the function gives that y= 4+9
y= 13

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How do you write 3.04 as a mixed number and reduce

Answers

3 4/100
3 2/50
3/1/25
This is how you write 3.04 as a mixed number

Confirm that f and g are inverses by showing that f(g(x)) = x and g(f(x)) = x. f(x) = the quantity x minus seven divided by the quantity x plus three. and g(x) = quantity negative three x minus seven divided by quantity x minus one.

Answers

Answer: The prove is mentioned below.

Step-by-step explanation:

Here the given functions are,

$f(x)=(x-7)/(x+3)$

$g(x)=(-3x-7)/(x-1)$

We have to prove that: f(g(x)) = x and g(f(x)) = x.

Since $f(g(x))= ((-3x-7)/(x-1) -1)/((-3x-7)/(x-1) +3)$

⇒ $f(g(x))= (-3x-7-7x+7)/(-3x-7+3x-3)$

⇒ $f(g(x))= (-4x)/(-4)$

⇒ $f(g(x))= x$

Now, $g(f(x))= (-3(x-7)/(x+3) -7)/((x-7)/(x+3) -1)$

⇒ $g(f(x))= (-3x+21-7x-21)/(x-7-x-3)$

⇒ $g(f(x))= (-10x)/(-10)$

⇒ $g(f(x))= x$

Answer with Step-by-step explanation:

We are given that

$f(x)=(x-7)/(x+3)$

$g(x)=(-3x-7)/(x-1)$

We have to confirm that f and g are inverses by showing that f(g(x))=x=g(f(x))

$f(g(x))=f((-3x-7)/(x-1))$

$f(g(x))=((-3x-7)/(x-1)-7)/((-3x-7)/(x-1)+3)$

$f(g(x))=((-3x-7-7x+7)/(x-1))/((-3x-7+3x-3)/(x-1))$

$f(g(x))=(-10x)/(x-1)* (x-1)/(-10)$

$f(g(x))=x$

$g(f(x))=g((x-7)/(x+3))$

$g(f(x))=(-3((x-7)/(x+3))-7)/((x-7)/(x+3)-1)$

$g(f(x))=((-3x+21-7x-21)/(x+3))/((x-7-x-3)/(x+3))$

$g(f(x))=((-10x)/(x+3))/((-10)/(x+3))$

$g(f(x))=(-10x)/(x+3)* (x+3)/(-10)=x$

Hence, f(g(x))=g(f(x))=x

Therefore, f and g are inverses.

Point P has coordinates (2,3). Point Q is symmetric to point P with respect to the line x = 4. What are the coordinates of point Q. Im wondering how you solve this. I think it's (3,6) A. (2,5)
B. ( 5,3)
C. (3,6)
D. (6,3

Answers

You are given the first point (2, 3) and a line x = 4. If you go ahead and graph these, it makes it a little more clear when they say that point p is symmetric with point Q with respect to the line x = 4.

Line x = 4 is the line of symmetry, so point Q is reflected across it. Point p has an x value of 2 (2 away from the line of symmetry, so point Q's x value has to be 2 away on the other side... 6. The y value is unchanged so your point is

D. (6, 3)

He difference between 4,632 and 20,000 is what number?

Answers

when they ask for the difference they are referring to subtraction
20,000
- 4,632
= 15368

ellen is playing a video game in which she captures butterflies.there are 3 butterflies on screen, but the number of butterflies doubles every minute.after 4 minutes, she was able to capture 7 of the butterflies

Answers

Answer:

Step-by-step explanation:

Ellen is playing a video game in which she captures butterflies.there are 3 butterflies on screen, but the number of butterflies doubles every minute.after 4 minutes, she was able to capture 7 of the butterflies

Initial buttlerfies =3

Since doubles every minute, the no of butterflies follow a geometric progression, with first term =3, and common ratio =2

Hence in 4 minutes no of butterflies = 3(2)^(4-1) = 3(8) =24

So in 4 minutes no of butter flies =24

NO of buttlerflies captured = 7

Remaining butterflies = 17

If |x| > 5 then x>5 true or false?

Answers

Final answer:

If |x| > 5, then x > 5 is true.

Explanation:

If the absolute value of x, denoted |x|, is greater than 5, then x must be either greater than 5 or less than -5. This is because the absolute value of a number is its distance from zero on the number line, so any number that is more than 5 units away from zero will be greater than 5 or less than -5.

In this case, we are looking for x to be greater than 5, so the statement x > 5 is true.