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## Nine times the input minus seven is equal to the output. Which of the following equations describes this function? A) 9y – 7 = x B) 7y – 9 = x C) 9x – 7 = y D) 7x – 9 = y

Nine times the input minus seven is equal to the output. Which of the following equations describes this function? A) 9y – 7 = x B) 7y – 9 = x C) 9x – 7 = y D) 7x – 9 = y

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## A company's monthly profit increases by \$1,000 each month. In January, the profit of the company was \$25,000. If x = 0 represents January, which of the following equations represents the profit as a function of time (in months)? A. y = 25,000x + 1,000 B. y = 1,000x C. y = 1,000x – 25,000 D. y = 1,000x + 25,000

A company’s monthly profit increases by \$1,000 each month. In January, the profit of the company was \$25,000. If x = 0 represents January, which of the following equations represents the profit as a function of time (in months)? A. y = 25,000x + 1,000 B. y = 1,000x C. y = 1,000x – 25,000 D. y = 1,000x + 25,000

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## What is the function of proteins and carbohydrates that are embedded in a cell membrane

Carbohydrates covalently linked to proteins (glycoproteins) or lipids (glycolipids) are also a part of cell membranes, and function as adhesion and address loci for cells. The Fluid Mosaic Model describes membranes as a fluid lipid bilayer with floating proteins and carbohydrates.

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## The brain mass of a fetus can be estimated using the total mass of the fetus by the function b equals 0.22 m superscript 0.87b=0.22m0.87?, where m is the mass of the fetus? (in grams) and b is the brain mass? (in grams). suppose the brain mass of a 2323?-g fetus is changing at a rate of 0.240.24 g per day. use this to estimate the rate of change of the total mass of the? fetus, startfraction dm over dt endfraction dm dt.

We are given
b = 0.22 m^0.87
db/dt = 0.24 g/day at b = 23 g

where
b is the brain mass of the fetus
m is the total mass of the fetus
db/dt is the rate of change of the brain mass of the fetus

We are asked to get the rate of change of the total mass of the fetus

First, we take the first derivative of the given equation with respect to time
db/dt = 0.22 (0.87) m^(0.87-1) dm/dt
Next, simplify and substitute the given values. So,
0.24 g/day = 0.22(0.87)(23)^(0.87 -1 ) dm/dt
Solving for dm/dt
dm/dt = 1.88 g/day

The rate of change of mass of the fetus is 1.88 g/day.

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## S(n) is function that squares numbers. It can be written in equation form as S(n)=n^2. What is the value of S(13)?

S(n) is function that squares numbers. It can be written in equation form as S(n)=n^2. What is the value of S(13)?

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## The domain of the function is given. Find the range. f(x) = 2x – 1

The domain of the function is given. Find the range. f(x) = 2x – 1

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## Given the range of the function, find the corresponding domain. f(x) = 4x – 1 Range: {3, 7, 11, 15}

The range is the output value or the y value.
You would work backwards to find the domain.

f(x) = 4x – 1                              f(x) = 4x – 1
3 = 4x – 1                                    7 = 4x – 1
4 = 4x                                            8 = 4x
divide both sides by 4              divide both sides by 4
x = 1                                              x = 2

f(x) = 4x – 1                                  f(x) = 4x – 1
11 = 4x – 1                                      15 = 4x – 1
12 = 4x                                              16 = 4x
divide both sides by 4                  divide both sides by 4
x = 3                                                    x = 4
Domain { 1, 2, 3, 4}

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## Approximate the area under the function between a and b using a left hand sum with the given number of intervals. f(x)=x^2 a=0 b=4 4 intervals

The length of each interval is (b-a)/i where i=number of intervals, a=starting value and b=ending value
so (4-0)/4=4/4=1
each interval is 1 unit in width

ok
the values of the heights are
f(0)
f(1)
f(2)
f(3)

f(0)=0
f(1)=1
f(2)=4
f(3)=9

1(0+1+4+9)
1(14)
14 is the aproximate area under the curve from a=0 to a=4

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## For anybody that's like decent at math. Find an equivalent function to f(x) = 3(6)2x. f(x) = 3(36)x f(x) = 182x f(x) = 108x f(x) = 9x(36x)

For anybody that’s like decent at math. Find an equivalent function to f(x) = 3(6)2x. f(x) = 3(36)x f(x) = 182x f(x) = 108x f(x) = 9x(36x)

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## A function is shown below: f(x) = (0.07)x What does the function represent? Exponential growth of 7% Exponential decay of 7% Exponential growth of 93% Exponential decay of 93%

Exponential decay of 93%

Step-by-step explanation:

A function is shown below:

f(x) = (0.07)^x

Exponential formula is r is the rate of growth or decay

From the given f(x) , we have 1+r = 0.07

Subtract 1 from both sides  To get % we multiply by 100

r= -93%

the value of ‘r’ is negative , so its exponential decay

Exponential decay of 93%

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## Find the first partial derivatives of the function. f(x, y) = x y

Find the first partial derivatives of the function. f(x, y) = x y

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## Determine the domain for the function in the table below. x f(x) 0 3 2 2 4 1 {1, 2, 3} {0, 2, 4} {(0, 3), (2, 2), (4, 1)} {(3, 0), (2, 2), (1, 4)}

Determine the domain for the function in the table below. x f(x) 0 3 2 2 4 1 {1, 2, 3} {0, 2, 4} {(0, 3), (2, 2), (4, 1)} {(3, 0), (2, 2), (1, 4)}

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## If Denise wanted to create a function that modeled an exponential function with base of 12 and what exponents were needed to reach specific values, how would she set up her function? f(x) = x12 f(x) = log12x f(x) = 12x f(x) = logx12

Denise creates the exponential function assume she want to find for what value of x, her function reaches the value, 3, or 8.2, or any value a (larger than 0)

so she shants to solve (“for what value of x, is 12 to the power of x equal to a?”)

this expression is equivalent to (so 12 to the power of x is a, for x= )

we can generalize this result by creating a function f.

In this function we enter x, the specific value we want to reach. f will calculate the exponent needed, in the following way: (example: we want to calculate at which value is equal to 5?
answer: f(x)= ,

check: , which is true, by properties of logarithms)

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## Determine the range of the function in the table below. x f(x) -11 50 -13 63 10 -51 21 -72 {-11, -13, 10, 21} {(-11, 50), (-13, 63), (10, -51), (21, -72)} {50, 63, -51, -72} {(50, -11), (63, -13), (-51, 10), (-72, 21)}

Determine the range of the function in the table below. x f(x) -11 50 -13 63 10 -51 21 -72 {-11, -13, 10, 21} {(-11, 50), (-13, 63), (10, -51), (21, -72)} {50, 63, -51, -72} {(50, -11), (63, -13), (-51, 10), (-72, 21)}

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## Find a linear approximation of the function f(x)=sqrt{1+x} at a=0, and use it to approximate the numbers sqrt{.96} and sqrt{1.02}

5 in 0.05 is 10 times greater than 5 in 0.005.

Step-by-step explanation:

To find : In which number does the digit 5 have greater value 0.05 or 0.005 how many times as great is it and how do you know ?

Solution :

According to the place value stem,

Ones      Tenths      Hundredths     Thousandths

0              0                   5                                           – 0.05

0              0                   0                        5                 – 0.005

In 0.05 5 is in hundredths place and in 0.005 5 is in thousandths place.

So, 5 in 0.05 is 10 times greater than 5 in 0.005.

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## In 5000 bc, the _____ practiced the management function of controlling by keeping records of tax receipts, real estate holdings, and lists of farm animals.

In 5000 bc, the _____ practiced the management function of controlling by keeping records of tax receipts, real estate holdings, and lists of farm animals.

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## When the function f(x) =4x-2 is evaluated for x=3 the output isA. 4B. 6 C. 16D. None of these choices

Number of copy machines must be made to minimize the unit cost=160.

Step-by-step explanation:

We are given that the unit cost function C ( the cost in dollars to make each copy machine)

Then the unit cost function is given by We have to find the number of copy machines for  minimize the unit  cost Differentiate with respect to x

Then we get ……(equation I)

To find the value of x then we susbtitute is equal to zero    By using division property of equality Again differentiate the equation I with respect to x then we get Hence, the unit cost is minimize for x=160

Therefore, the number of copy machines must be made to minimize the unit cost =160

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## The height of a hill, h(x), in a painting can be written as a function of x, the distance from the left side of the painting. Both h(x) and x are measured in inches. h(x) = -1/5(x)(x – 13) What is the height of the hill in the painting 3 inches from the left side of the picture? inches

The polinomials only can have positive whole exponents, that is: 1, 2, 3, 4, 5, 6, … (you can include 0 also, because it iis the independent term).

So, if you are told that one term of the polynomial is 9 x ^ (negative something), it is necessary that the number after the negative sign be negative, given that negative times negative is positive.

Therefore, the only possible option from the answer choices is the option 3) -9.

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## What is the inverse of the function f(x)=x-12

Answer: The answer is (C) Patricia is not correct because both 3 – 4i  and -11+√2i  must be roots.

Step-by-step explanation:  Given that  (-11-√2i) , (3 + 4i), and 10 are the roots of the polynomial function f(x) that Patricia is studying.

We know that the complex roots of a polynomial function always occur in pairs. That is, if (a + bi) is a root of a function, then (a – bi) will also be a root (one is the complex conjugate of the other).

The complex conjugate of (3 + 4i) is (3 – 4i) and the complex conjugate of (-11 – √2i) is (11 + √2i).

Therefore,  (3 – 4i) and (-11 + √2i) both are the roots of f(x).

Hence, since we have 5 roots, so the degree of the polynomial function f(x) cannot be 4.

Since Patricia concludes that the degree of f(x) is 4, so she is not correct because both (3 – 4i)  and (-11+√2i)  must be roots.

Thus, option (C) is correct.

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## What is the inverse function f(x)=2x +1

Answer: The answer is (C) Patricia is not correct because both 3 – 4i  and -11+√2i  must be roots.

Step-by-step explanation:  Given that  (-11-√2i) , (3 + 4i), and 10 are the roots of the polynomial function f(x) that Patricia is studying.

We know that the complex roots of a polynomial function always occur in pairs. That is, if (a + bi) is a root of a function, then (a – bi) will also be a root (one is the complex conjugate of the other).

The complex conjugate of (3 + 4i) is (3 – 4i) and the complex conjugate of (-11 – √2i) is (11 + √2i).

Therefore,  (3 – 4i) and (-11 + √2i) both are the roots of f(x).

Hence, since we have 5 roots, so the degree of the polynomial function f(x) cannot be 4.

Since Patricia concludes that the degree of f(x) is 4, so she is not correct because both (3 – 4i)  and (-11+√2i)  must be roots.

Thus, option (C) is correct.

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## How do prepositions function in a sentence

Your answer would be that the correct version of the sentence is the following one: My brother took out the garbage, and Motehr was very happy.

Explanation:

You should capitalize words such as Mother, Father, Brother, Sister, Grandmother, Son, Daughter when they are used in place of the person’s name. What is more, you should not capitalize them when they follow possessive pronouns (my, your, his, her, our). In the sentence above, Mother is capitalized because it is not preceded by any pronoun, while brother is not because it follows the possessive pronoun my.

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## Which of the following ratios correctly describes the tangent function? a. opp/adj b. opp/hyp c. adj/hyp

Which of the following ratios correctly describes the tangent function? a. opp/adj b. opp/hyp c. adj/hyp

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## The table below represents the displacement of a horse from its barn as a function of time: Time(hours) x. 0 1 2 3 4 Displacement from barn (feet) y 8 58 108 158 208 part a: what is the y-intercept of the function, and what does this tell you about the horse? part b: calculate the average rate of change of the function represented by the table between x=1 to x=3 hours, and tell what the average rate represents. part c: what would be the domain of the function of the horse continued to walk at this rate until it traveled 508 feet from the barn?

The polinomials only can have positive whole exponents, that is: 1, 2, 3, 4, 5, 6, … (you can include 0 also, because it iis the independent term).

So, if you are told that one term of the polynomial is 9 x ^ (negative something), it is necessary that the number after the negative sign be negative, given that negative times negative is positive.

Therefore, the only possible option from the answer choices is the option 3) -9.

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## Which is a y-intercept of the continuous function in the table? (5, 0) (0, 1) (0, 5) (1, 0)

Which is a y-intercept of the continuous function in the table? (5, 0) (0, 1) (0, 5) (1, 0)

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## What are the real zeros of the function g(x) = x3 + 2×2 − x − 2?

Answer: The answer is (C) Patricia is not correct because both 3 – 4i  and -11+√2i  must be roots.

Step-by-step explanation:  Given that  (-11-√2i) , (3 + 4i), and 10 are the roots of the polynomial function f(x) that Patricia is studying.

We know that the complex roots of a polynomial function always occur in pairs. That is, if (a + bi) is a root of a function, then (a – bi) will also be a root (one is the complex conjugate of the other).

The complex conjugate of (3 + 4i) is (3 – 4i) and the complex conjugate of (-11 – √2i) is (11 + √2i).

Therefore,  (3 – 4i) and (-11 + √2i) both are the roots of f(x).

Hence, since we have 5 roots, so the degree of the polynomial function f(x) cannot be 4.

Since Patricia concludes that the degree of f(x) is 4, so she is not correct because both (3 – 4i)  and (-11+√2i)  must be roots.

Thus, option (C) is correct.