MATHEMATICS HIGH SCHOOL

Which of the following statements have the same result? Explain each step in solving each one.f(1) when f(x) = 5x + 1
f−1(3) when f(x) = 2x plus 3, all over 5
3y − 7 = y + 5

Answers

Answer 1
Answer: f(x) = 5x + 1\n\nsubtitute\ x = 1\ to\ the\ equation\n\nf(1) = 5\cdot1 + 1 = 5 + 1 = 6\n----------------------\nf(x)=(2x+3)/(5)\to y=(2x+3)/(5)\ \ \ \ |multiply\ both\ sides\ by\ 5\n\n5y=2x+3\ \ \ \ |subtract\ 3\ from\ both\ sides\n\n2x=5y-3\ \ \ \ \ |divide\ both\ sides\ by\ 2\n\nx=(5y-3)/(2)\n\nf^(-1)(x)=(5\cdot(-1)-3)/(2)=(-5-3)/(2)=(-8)/(2)=-4\n---------------------\n3y-7=y+5\ \ \ |add\ 7\ to\ both\ sides\n3y=y+12\ \ \ \ |subtract\ y\ from\ both\ sides\n2y=12\ \ \ \ |divide\ both\ sides\ by\ 2\ny=6

Answer: f(1) when f(x) = 5x + 1 and 3y - 7 = y + 5

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Simplify the expression below as much as possible.(7-6i) + (-1 + 4i) -(4-7i) A. 10 + 5i B. 2 - 9i C. 10-9i D. 2 +5i

Please help this is timed

Answers

Answer:

The last one (f) hope u still have time

Grandma’s Bakery sells single-crust apple pies for $6.99 and double crust cherry pies for $10.99. The total number of pies sold on a busy Friday was 36. If the amount collected for all the pies that day was $331.64, how many of each type were sold?

Answers

Answer:

15 single-crust apple pies were sold and 21 double-crust cherry pies were sold.

Step-by-step explanation:

Let a be the number of single-crust apple pies sold

Let c be the number of double-crust cherry pies sold

3 is what percent of 5

Answers

Answer: 60%

Step-by-step explanation:
2.5% i’m pretty sure

evaluate 5a + 3b and (5 + a)(3+B) for a=2 and b=4 how is the order of steps diffrent from the two expressions

Answers

the first one = 10+12 = 22
second  = 7x7 = 49

the order of the steps are different by the pluses and minuses
the first one had a multiply to 5 and b multiply to 3 and add them together
the second one had a plus 5 and b plus 3 and those two multiplied .

Devon owns a house cleaning company and has to give price quotes to potential customers. He figures out his price by assuming a $25 base charge and then adding $8 for each bathroom and $4 for each other room. If he uses P to represent the price and B for bathroom and R for other rooms, which of these represents his price quote formula?A P = 25 + 12(BR)
B P = 4R + 8B + 25
C P = 25(4R + 8B)
D P = (4)(8)(R + B) + 25

Answers

The price quote formula for this problem is P = 4R + 8B + 25.

Hence option B is correct.

Use the concept of forming of equation defined as:

A mathematical definition of an equation is a claim that two expressions are equal when they are joined by the equals sign ("=").

Given that,

Devon owns a house cleaning company.

He calculates his price quotes for potential customers using a specific formula.

The formula includes a $25 base charge.

He adds $8 for each bathroom (B).

He adds $4 for each other room (R).

The objective is to determine which formula represents Devon's price quote calculation.

If R represent the number of rooms

Then cost of R room = 4R

If B represents the number of bathrooms

Then cost for B bathroom = 8B

The base charge is 25

Then the total charge is = 4R + 8B + 25

Hence,

The price quote formula for this problem is P = 4R + 8B + 25 which is option B.

To learn more about equation visit:

brainly.com/question/29174899

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the answer is P=25(4R+8B)

The expression sinx(cscx - cotx cosx) can be simplified to.

Answers

csc x = 1 / sin x  and cot x = cos x/ sin x ;
sin x * ( csc x - cot x * cos x ) =
= sin x * ( 1/sin x - cos x / sin x * cos x ) =
= sin x * ( ( 1 - cos² x ) / sin x ) =
= sin x * ( sin² x / sin x ) =
= sin x * sin x = sin² x   ( answer)
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