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

# Tag: function

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

### Answered by answersmine AT 22/10/2019 – 04:26 AM

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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.

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)?

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

You would work backwards to find the domain.

f(x) = 4x – 1 f(x) = 4x – 1

3 = 4x – 1 7 = 4x – 1

add 1 to both sides add 1 to both sides

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 – 111 = 4x – 1 15 = 4x – 1

add 1 to both sides add 1 to both sides

12 = 4x 16 = 4x

divide both sides by 4 divide both sides by 4

x = 3 x = 4

Domain { 1, 2, 3, 4}

x = 3 x = 4

Domain { 1, 2, 3, 4}

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

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)

**Answer:**

**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%**

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

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)}

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)

Answer: log_1_2(x) (B)

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)}

**Answer:**

**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.**

As

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

**Answer:**

**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)

If machines are made =x

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**

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.

**Answer: 3) – 9**

**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.**

**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.**

**Answer:**

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. *

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

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.

**Answer: 3) – 9**

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

**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.**