MATHEMATICS HIGH SCHOOL

Leo is purchasing a bike that is on sale for 30% off. He knows the function that represents the sale price of his bike is c(p) = 0.7p, where p is the original price of the bike. He also knows he has to pay 12% sale's tax on the bike. The price of the bike with tax is f(c) = 1.12c, where c is the sale price of the bike.Determine the function that can be used to calculate the final price of Leo's bike by solving for f[c(p)].
f[c(p)] = 1.82cp
f[c(p)] = 1.82p
f[c(p)] = 0.784cp
f[c(p)] = 0.784p

Answers

Answer 1

Answer: f[c(p)] = (1.12)(0.7p) = 0.784p

A single function should have a single variable.

Answer 2

Answer:

Answer: The answer would be f[c(p)] = (1.12)(0.7p) = 0.784p

Step-by-step explanation:

A single function should have a single variable.

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Which is another way to check the sum of 104+34+228+877?

What does the fundamental theorem of algebra and its corollary tell you about the roots of the polynomial equation p(x)=0 where p(x) has degree n?

Answers

Answer:

A polynomial with complex coefficients of degree n has n complex roots, counted with multiplicity.

Step-by-step explanation:

We are given a polynomial p(x) in the question with degree n.

The degree n means the n is the highest power of variable in the given polynomial.

The equation:

$p(x) = 0$

Fundamental theorem of Algebra

The Fundamental theorem of Algebra states that a a polynomial of degree n will have n roots of the equation.

This can further be explained as:

A polynomial with complex coefficients of degree n has n complex roots, counted with multiplicity.

Write the inverse function for the function, ƒ(x) =x + 4. Then, find the value of ƒ -1(4). Type your answers in the box.ƒ -1(x) =

ƒ -1(4) =

Answers

Answer:

f-1(x)=x-4

f-1(4)=0

Step-by-step explanation:

to get an inverse function, replace x with y, and y with x.

y=x+4 ---> x=y+4

solve for y: x=y+4 --> y=x-4 --> f-1(x)=x-4

f-1(4)=(4)-4=0

Evaluate h -2 g for h = 3 and g = 27.

Answers

h-2g=3-2(27)
h-2g=3-54
h-2g=-51 Ans.

h-2g
= 3-2(27)
= 3-54
= -51 (Answer)

Find the y-intercept of the line which passes through (-2,-2) and (2,-4).

Answers

Your Y- intercept is -3

A factory produces 1000 bottles of pasta sauce in a day. Fifty bottles are selected at random to determine if they weigh the correct amount. The factory rejects bottles that are over or under the correct weight.One bottle is under weight, 46 bottles are the correct weight, and 3 bottles are over weight.

Based on this random sample, approximately how many bottles will the factory reject from the day's production?

A.4

B.20

C.60

D.80

Answers

Answer:

option: D is correct.

Step-by-step explanation:

The random sample is given of 50 bottles which is depicted as:

1 bottle under weight

46 bottles correct weight

3 bottles over weight

As the bottles which are under weight and over weight are rejected.

that means out of 50: 4 bottles are rejected.

Now we have to find out the number of bottles rejected out of the 1000 bottles.

As 1000 is 20 times of 50.

Hence the number of bottles rejected will also get multiplied by 20.

Hence total number of bottles rejected=80.

Hence, option D is correct.

the answer would consiste of c

In one hour, a roadside stand sells 24 bouquets of flowers. The stand starts operating at 9:00 AM and closes at 12:30 PM for a 30 minute lunch break. If sales continue at the same rate, how many bouquets of flowers will the stand sell by 6:00 PM? A)216 B)96 C) 204 D)228