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S_A_V [24]
2 years ago
14

PLEASE HELP DUE TODAY ILL GIVE BRAINLIEST 1. An advertising company charges $40 per half-page advertisement and $75 per full-pag

e advertisement. Michael has a budget of $800 to purchase 13 advertisements. (a) Define a variable for each unknown. Write a system of equations to represent the situation. (b) How many half-page advertisements does Michael purchase? Show your work. (c) How many full-page advertisements does Michael purchase? Show your work.
Mathematics
1 answer:
Oksana_A [137]2 years ago
8 0

Answer: inverse of given function = log(x)/log(3)

Step-by-step explanation: how to find the inverse of any function?

in the complete function, replace y with "x" and x with "y"then, solve the obtained equation from step 2 for yand, then the value obtained for "y" is the inverse required i.e. = f^{-1}(x)

now, we solve the problem:

given : - y = 3^x

replacing the value of "y" with "x", we get,

x = 3^y

to solve for "y" we should take the "logarithm" for both sides

log (x) = y log(3)

or y = log(x)/log(3)

or f^(-1) (x) = log(x)/log(3)

( I hope this helped <3 )

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The Benton Youth Soccer Team has 20 players on the team, including reserves. Of these, three are goalies. Today, the team is hav
inna [77]

Answer:

57

Step-by-step explanation:

Subtract one player from the total number, because one has to block.

19

Multiply this by the number of goalies there are.

19*3=57

There will be 57 kicks.

3 0
1 year ago
Six Flags is offering a package deal of 5 entrance passes for $130. If 1 entrance pass normally costs $30. how much will you sav
stiv31 [10]

Answer:

You will save $20

Step-by-step explanation:

30x5=150-130=$20

7 0
2 years ago
What is the value of b and the missing symbol in Jamilla’s inequality?
Sindrei [870]

Answer:

b=1, \geq

Step-by-step explanation:

we know that

The absolute value function has two solutions

Observing the graph

the solutions are

x\geq 1 and x\leq -3

First solution (case positive)

assume the symbol of the first solution and then compare the results

\left|x+b\right|\ge2

(x+b)\ge2

x\ge2-b

2-b=1\\b=2-1\\ b=1

Second solution (case negative)

-(x+b)\ge2

Multiply by -1 both sides

(x+b)\leq-2

substitute the value of b and compare the results

(x+1)\leq-2

x\leq-2-1

x\leq-3 -------> is correct

4 0
2 years ago
Read 2 more answers
Use the method of cylindrical shells to find the volume V generated by rotating the region bounded by the given curves about the
xenn [34]

Answer:

As per the given statement:

The region bounded by the given curves about the y-axis, y = 13e^{-x^2}, y=0, x = 0 and x = 1

Using cylindrical shell method:

The volume of solid(V) is obtained by rotating about y-axis and the region under the curve y = f(x) from a to b is;

V = \int_{a}^{b} 2\pi x f(x) dx   where 0\leq a

where x is the radius of the cylinder

f(x) is the height of the cylinder.

From the given figure:

radius = x

height(h) =f(x) =y=13e^{-x^2}

a = 0 and b = 1

So, the volume V generated by rotating the given region:

V =2 \pi \int_{0}^{1} x ( 13e^{-x^2}) dx\\\\V=2\pi\left [ -\frac{13}{2}e^{-x^2} \right ]_{0}^{1}\\\\V=2\pi\left (-\frac{13}{2e}-\left(-\frac{13}{2}\right) \right )\\\\V=-\frac{13\pi }{e}+13\pi

therefore, the volume of V generated by rotating the given region is V=-\frac{13\pi }{e}+13\pi










5 0
2 years ago
Twenty-four 4-inch wide square posts are evenly spaced with 5 feet between adjacent posts to enclose a square field, as shown. W
Nata [24]

Answer:

492 0/10

Step-by-step explanation:

We have that the perimeter is 4 times the length of the side, now we know that this side "l" is given by:

l = 4 in * 24 + 23 * 5 ft

l = 96 in + 115 ft

Now, we pass the inches to pes, knowing that 1 foot equals 12 inches, so

96 in * 1 ft / 12 in = 8 ft

therefore replacing it remains:

l = 8 ft + 115 ft

l = 123 ft

now the perimeter:

p = 123 * 4

p = 492

to change to a mixed number:

4920/10 = 492 0/10

4 0
2 years ago
Read 2 more answers
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