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3 years ago

Determine the domain and range for the inverse of f(x) = 1/4x + 2

Mathematics

1 answer:

irina1246 [14]3 years ago

6 0

Answer:

Domain: ( − ∞ , ∞ ) , { x | x ∈ R }

Range: ( − ∞ , ∞ ) , { y | y ∈ R }

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A total of 243 tickets were sold for the school play. They were either adult tickets or student tickets. The number of student t

alina1380 [7]

Answer:

81 adult tickets

Step-by-step explanation:

Step 1:

Set up a system of equations

Since the adult tickets and student tickets add to 243, we can do

$a+s=243$

and the student tickets sold were 2x the adult tickets, we can do

$s=2a$

We can replace s in the first equation adding to 243 with 2a

$a+s(2a)=243\\3a=243\\$

Step 2:

Solve for a. We can divide both sides by 3.

$a=81$

Therefore, there were 81 adult tickets sold.

Step 3:

We can check our work! Since we learned earlier the student tickets are 2x adult tickets, we can multiply 81 by 2 and add that to 81 to see if it equals 243!

$s=2a\\s=2(81)\\s=162$

And...

$162+81=243$

So, 81 must be the answer!

8 0

2 years ago

Read 2 more answers

Solve x = 4p + p3 if p=dy/dx

MAVERICK [17]

Answer:

x = pp12 or 12 pp

Step-by-step explanation:

Just to note that pp means p square

3 0

2 years ago

Anyone know this answer??

lara31 [8.8K]

Answer:

two

Step-by-step explanation:

The exact value of sec(60°) sec ( 60 ° ) is 2 .

6 0

3 years ago

The following integers are listed in order from greatest to least. 10, 7, -3, -7

alexgriva [62]

Answer:

true

Step-by-step explanation:

negative numbers are smaller than positives and bigger negative numbers like -7 are lower than smaller negative numbers like -3

4 0

2 years ago

Hasan is painting a spherical model of a human cell for his science class. He uses 100π square inches of paint (in one coat) to

babymother [125]

Answer:

10 in

Step-by-step explanation:

So we want to consider the surface area of this sphere.

The formula for surface area of a sphere is $A=4 \pi r^2$ .

So we have that the surface area is $100 \pi$ .

So I'm going to replace $A$ in $A=4 \pi r^2$ with $100 \pi$ .

$100\pi=4\pi r^2$

Now our main objective here is to solve for $r$ :

Divide both sides by $4 \pi$ :

$\frac{100\pi}{4 \pi}=\frac{4\pi r^2}{4 \pi}$

This gets us $r^2$ by itself:

$25=r^2$

What number squared gives you 25? If you don't know, just take the square root of both sides giving you:

$\sqrt{25}=r$

Now you can just put $\sqrt{25}$ in your calculator. You should get 5.

5 is the radius

The diameter is twice the radius.

So 2(5) is 10, so the diameter is 10 in.

4 0

2 years ago

Read 2 more answers