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

Answer:

it gets colder and it would be -6

Step-by-step explanation:

i hope

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 Notion: f(-6)=8

f(3) is -2

f(x) = -5 when x is 4

Answer:

a b b

Step-by-step explanation:

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 .

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:

Answer:3.5•x or 3.5x

Step-by-step explanation:

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.

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:

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

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:

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:

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:

(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:

12.57

Step-by-step explanation:

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:

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

Step-by-step explanation:

It is constant because otherwise it wouldn't be proportional

Answer:1/12 or 8.3

Step-by-step explanation:

Answer:

90

Step-by-step explanation:

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:

-25

Step-by-step explanation:

7+25−15−42

=7+10−42

=17−42

=−25

Answer:  -25

Step-by-step explanation:

Answer:

Step-by-step explanation:

3x - 5 = 2x + 6

x - 5 = 6

x = 11

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: 97.5m

Step-by-step explanation:

Answer:

hello hai to question is from which class

Step-by-step explanation:

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:

Hey there!

w-99=119

w=218

x/3=103

x=309

y/2=146

y=292

Let me know if this helps :)

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!!