Given the graphs of y = f(x) and y = g(x),
g(x) = f(x)
expresses g(x) in terms of f(x).

Answer:

12.57

Step-by-step explanation:

Answer:1/12 or 8.3

Step-by-step explanation:

Answer:

(b) this relation is not a function because this relation is a one to many ,functions are only many to one and one to one

Answer Notion: f(-6)=8

f(3) is -2

f(x) = -5 when x is 4

Answer:

a b b

Step-by-step explanation:

Answer:

Step-by-step explanation:

3x - 5 = 2x + 6

x - 5 = 6

x = 11

Answer:

B. p varies inversely as r

Step-by-step explanation:

Since, p varies directly as q

[tex] \therefore p\:\:\alpha \:\:q\\

\therefore p= kq.. (k = constant)... (1)\\

[/tex]

Since, q varies inversely as r

[tex] \therefore q\:\:\alpha \:\:\frac{1}{r} \\

\therefore q= \frac{k}{r} .. (k = constant)... (2)\\

[/tex]

From equations (1) & (2)

[tex] p = k\times \frac{k}{r}\\

p = \frac{k^2}{r}\\

p\:\:\alpha \:\: \frac{1}{r}\\

[/tex]

Hence, p varies inversely as r.

Answer:3.5•x or 3.5x

Step-by-step explanation:

Answer:

it gets colder and it would be -6

Step-by-step explanation:

i hope

Answer:

Hello!

YOUR ANSWER IS 315 DEGREES MORE

Step-by-step explanation:

To get it to the start position is the same as TURNING IT 360 DEGREES!

So from 45 degrees to reach 360 degrees...another 315 degrees will be needed!

HOPE THIS HELPS!!

Answer: 97.5m

Step-by-step explanation:

Answer:

You will have to pay $22.05.

Step-by-step explanation:

We can solve this problem by making a proportion:

4.78 gallons/11 dollars = 9.58 gallons/x dollars

By cross-multiplying, we can solve for x:

4.78x = 105.38

x = 22.05

Answer:

B

Step-by-step explanation:

-6+√-4 = -6+2i

Answer:

-6 + 2i

Step-by-step explanation:

The square root of -4 is the imaginary number: 2i The -6 stays the same. So add,, but don't combine real and imaginary numbers.

-6 + 2i

It is constant because otherwise it wouldn't be proportional

Answer:

There's two ways to solve this.

Step-by-step explanation:

First way:

Let's divide the width and length by 2.3.

46÷2.3=20

69÷2.3=30

20×30

600 ft²

Second Way:

Let's find the area of the actual room.

46×69

3,174 ft²

Let's find the scale drawing squared.

2.3²=5.29

3,174÷5.29

600 ft²

Answer:

600

Step-by-step explanation:

answer on edge 2021

Have a great day!

Answer:

16x=1 x=1/16 or 0.0625

2/5x=1 x=5/2 or 2.5

Step-by-step explanation:

for 16x=1 divide both sides by 16, 1 divided by 16 is 1/16 or 0.0625

for 2/5x=1 multiply by the reciprocal of 2/5 which is 5/2. 5/2 times 1 is just 5/2 or 2.5.

a 13 ft ladder must reach 12 ft up the side of a house. how many feet from the house should the bottom of the ladder be placed?

Answer: 1 foot

Answer:

5 ft

Step-by-step explanation:

Ladder top, the wall and the horizontal distance will form a right triangle with:

As per Pythagorean theorem:

Given :

A building is of unknown height. At a distance of 400 feet away from the building .

An observer notices that the angle of elevation to the top of the building is 35º and that the angle of elevation to a poster on the side of the building is 15º .

To Find :

How far is the poster from the roof of the building .

Solution :

Height is given by :

[tex]h=d\times tan\theta[/tex]

( Here , [tex]\theta[/tex] is angle of elevation )

So , height of tower :

[tex]H=400\times tan 35^o\\\\H=280.08 \ feet[/tex]

For height of poster :

[tex]h=400\times tan 15^o\\\\h= 107.18\ feet[/tex]

Therefore , distance of poster from the roof of the building is :

[tex]( 280.08-107.18) = $$172.9\ feet[/tex]

Hence , this is the required solution .

Answer:The answer would be $8

Step-by-step explanation:

If you add up all the things she is buying and then subtract it from $43 that would be the difference. She spent $35

Answer:

Step-by-step explanation:

We need to find what number he got on the test.

We know he got a bigger number than 88.

79+85+86+88+91+93+x.

Let's substitute x for 94.

79+85+86+88+91+93+94/2 = 88.

Since any other number thats near 94 doesn't equal 88, we know that this is exactly the right answer.

Answer:

Age of Cathy = 19

Step-by-step explanation:

Find:

Sum of their ages = 54

Assume;

Age of Andrea = x

Age of Beth = x + 1

Age of Cathy = x + 2

Sum of their ages = x + x + 1 + x + 2

54 = 3 x + 3

3 x = 51

x = 17

Age of Cathy = x + 2

Age of Cathy = 17 + 2

Age of Cathy = 19

Answer:

90

Step-by-step explanation:

Answer:

the answer is 240 multiply and divide

Answer:240

Step-by-step explanation:

Use the order of operations. (PEMDAS)

Parenthesis

Exponent

Multiply

Divide

Addition

Subtraction

Hope this helped dude

Answer:

Hey there!

w-99=119

w=218

x/3=103

x=309

y/2=146

y=292

Let me know if this helps :)

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{1}}}}}[/tex]

Step-by-step explanation:

[tex] \sf{ \frac{1}{2} \times 2}[/tex]

Multiply the numerators for the numerator and multiply the denominators for its denominator and reduce the fraction obtained after multiplication into lowest term.

[tex] \dashrightarrow{ \sf{ \frac{1 \times 2}{2 \times 1} }}[/tex]

[tex] \dashrightarrow{ \sf{ \frac{2}{2} }}[/tex]

[tex] \dashrightarrow{ \sf{1}}[/tex]

Or, You can simply reduce the fraction with 2, which results to 1.

Hope I helped!

Best regards! :D

Answer:

Selena is correct because she simplified correctly and then evaluated correctly after substituting the values for the variables.

Step-by-step explanation:

Answer:

hello hai to question is from which class

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

the absolute value of any negative number is the number in positive form.

Answer:

Hello!

The value would 12 cause it is the absolute value

For example:

If the is negative 12 the absolute value would be the opposite, so it would be positive 12.

But if it was

|12| then it would stay the same

Hope this helps!

-Fishylikeswater

Answer:

-25

Step-by-step explanation:

7+25−15−42

=7+10−42

=17−42

=−25

Answer:  -25

Step-by-step explanation: