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2 years ago

Find the inverse function of y=3x-7

Mathematics

1 answer:

Studentka2010 [4]2 years ago

5 0

Answer:

Since g(f(x))=x g ( f ( x ) ) = x , f−1(x)=x3+73 f - 1 ( x ) = x 3 + 7 3 is the inverse of f(x)=3x−7 f ( x ) = 3 x - 7 .

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Mrs. Gonzalez bought a puzzle for $10.95, a board game for $15.95, and a table lamp for $17.10. After tax, the total amount due

inn [45]

Answer:

6.5%

Step-by-step explanation:

15.95+10.95+17.10 = 44

46.86-44 = 2.86

2.86/44 = 0.065

0.065 = 6.5%

6 0

2 years ago

A rectangular garden has a length that is

skelet666 [1.2K]

Answer:

Since,

Length is 4 times Breadth

Let Breadth be x

Therefore,Length=4x

Perimeter=50m

Therefore,

50m=2(l+b)

50m=2(4x+x)

50m=2(5x)

50m=10x

x=5m.

Therefore,

Breadth=5m

Length=4x=4×5=20m

6 0

2 years ago

The supply equation for an olive oil press is

vovangra [49]

Answer:

12 units

Step-by-step explanation:

The given function is

$S(q) = 5q^2 + 1000q + 100$

where, S(q) is the price in dollars at which q units are supplied.

We need to find the quantity supplied in a month when the company sets the price of its olive oil press at $12,820.

Substitute S(q)=12820 in the given function.

$12820 = 5q^2 + 1000q + 100$

Subtract both sides by 12820.

$0= 5q^2 + 1000q - 12720$

Taking out GCF.

$0= 5(q^2 + 200q - 2544)$

Now solve the equation for q by splitting the middle term.

$0= 5(q^2 + 212q-12q - 2544)$

$0= 5(q(q + 212)-12(q + 212))$

$0= 5(q + 212)(q-12)$

Using zero product property we get

$q + 212=0\Rightarrow q=-212$

$q-12=0\Rightarrow q=12$

q is number of units. So the value of q can not be negative.

Therefore the quantity supplied in a month when the company sets the price of its olive oil press at $12,820 is 12 units.

4 0

2 years ago

The scale on a map is 1 in. :25 mi. Your measure 6.5 in. Between two towns. What is the actual distance?

pshichka [43]

Answer:

162.5mi

Step-by-step explanation:

If the scale of the map is 1in:25mi, and you measure 6.5in between two twoms, then the real distance would be 6.5in*25mi = 162.5mi.

6 0

2 years ago

True or false? f (x) = 2 · (1/5)^x represents an exponential function growth.

nekit [7.7K]

Hi there!

$\large\boxed{\text{False.}}$

f(x) = 2(1/5)ˣ

Recall the form of an exponential function:

f(x) = a(b)ˣ where:

a = initial value

b = rate of decay/growth

If b > 1, the function is undergoing exponential growth. If b < 1, then the function is undergoing exponential decay.

1/5 < 1, so the function is undergoing exponential decay, not growth.

7 0

2 years ago