multyplying monomials

Answer:

F

(

x

−

x

2

+

4

x

)

=

2

x

4

−

20

x

3

+

56

x

2

−

30

x

−

1

Step-by-step explanation:

I used a calculator

Answer:

≈ -0.0005

Step-by-step explanation:

Using proportions, it is found that he bikes:

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.

In this problem, the proportion is that he bikes 9.5 miles each half hour, hence:

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Answer: X=45

Step-by-step explanation:

Answer:

10/ 12 x 2/ 3 = 10/ 12 x 8/ 12 = 80/12 = 6 8/12

Pls mark brainliest, (Plz correct me if wrong)

Step-by-step explanation:

Answer:

3 dollars

Step-by-step explanation:

Answer:

A.

Step-by-step explanation:

So we are given the function:

\(f(x)=7x+8\)

To find the inverse of the function, we simply need to flip f(x) and x and then solve for f(x). Thus:

\(x=7f^{-1}(x)+8\\x-8=7f^{-1}(x)\\f^{-1}(x)=\frac{x-8}{7}\)

So the answer is A.

Answer:

\(\large \boxed{\mathrm{Option \ A}}\)

Step-by-step explanation:

f(x) = 7x+8

Write f(x) as y.

y = 7x + 8

Switch variables.

x = 7y + 8

Solve for y to find the inverse.

x - 8 = 7y

\(\frac{x-8}{7}\) = y

Answer:

Area of a circle =  π·r²

64 =  π·r²

r²= 64/ π

r²= 20.37

r= 4.51 ft

OPTION A

Answer:

The answer is 8 guys not 4 or 4.5. It literally says on the question that its 64Pi not just 64

Step-by-step explanation:

Answer:

Step-by-step explanation:

The perimeter is the dependent variable.  TRUE

The length of the side of the square is the dependent variable.  FALSE

The value of p(x) depends on the value of x.  TRUE

The length of the side of the square is the independent variable.  TRUE

The value p(x) can be found by multiplying p by x.  FALSE

The perimeter is the independent variable.  FALSE

The solution set of the inequality (2/5)*(10x - 15) ≥ 10 is:

[4, ∞)

Here we want to solve the inequality:

(2/5)*(10x - 15) ≥ 10

To solve this we need to isolate the variable x, to do so, we can start multiplying both sides by 5/2

(10x - 15) ≥ 10*(5/2)

10x - 15 ≥ 25

Now add 15 in both sides:

10x ≥ 25 + 15

Now divide both sides by 10.

x ≥ 40/10

x ≥ 4

So the solution set is the set of all real numbers equal or larger than 4.

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Answer:

About 900 cans not stamped in 3 hours

Step-by-step explanation:

Proportions

Sally found that 150 cans were not stamped in the 1/2 hour trial run.

Following the same proportion in time, we can say:

150 cans not stamped in 1/2 hour. Multiplying by 2:

300 cans not stamped in 1 hour. Multiplying by 3:

900 cans not stamped in 3 hours

About 900 cans not stamped in 3 hours

An absolute value is always a positive value

The absolute value for |-43| would be 43

Answer:

\(6^7\)

Step-by-step explanation:

\(9^2(12^3)(2)\)

\(\mathsf{rewrite \ 9 \ as \ 3^2 } \implies 9^2=(3^2)^2\)

Apply exponent rule  \((a^b)^c=a^{bc}\):

\(\implies (3^2)^2=3^4\)

\(\mathsf{rewrite \ 12 \ as \ 2 \cdot 2 \cdot 3 } \implies 12^3=(2 \cdot 2 \cdot 3)^3\)

Apply exponent rule  \((a\cdot b)^c=a^c \cdot b^c\)

\(\implies (2 \cdot 2 \cdot 3)^3=2^3 \cdot 2^3 \cdot 3^3\)

\(\mathsf{rewrite \ 2 \ as \ 2^1}\)

Therefore,

\(9^2(12^3)(2)=3^4 \cdot2^3\cdot2^3\cdot3^3\cdot2^1\)

Gather like terms

\(\implies 3^4\cdot3^3 \cdot2^3\cdot2^3\cdot2^1\)

Apply exponent rule  \(a^b \cdot a^c=a^{b+c}\):

\(\implies 3^{4+3}\cdot2^{3+3+1}\)

\(\implies 3^7 \cdot 2^7\)

Apply exponent rule  \(a^c \cdot b^c=(ab)^c\)

\(\implies (3 \cdot2)^7\)

\(\implies 6^7\)

Answer:

the answer would be 2(2+11)

Step-by-step explanation:

Correct Unit rate is 4 pounds per gallons.

An item's unit rate is its price for one of it. This is expressed as a ratio with a one as the denominator. For instance, if you covered 70 yards in 10 seconds, you covered 7 yards on average every second. Seven yards in one second and 70 yards in ten seconds are both ratios, but only one of them is a unit rate. A unit rate is a ratio between two separate units with one as the denominator. Examples include miles/hour, kilometers/hour, meters/sec, salaries/month, etc.

Given Data

\(\frac{1}{4}\) pounds = \(\frac{1}{16}\) gallons

Rate = \(\frac{1}{4}\) pounds ÷ \(\frac{1}{16}\) gallons

Rate = \(\frac{1}{4}\) × 16

Rate = 4

Unit rate is 4 pounds per gallons.

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Answer:

Step-by-step explanation (to solve the equation):

I hope this helps!

Answer:

3y = -42

y = -14

Step-by-step explanation:

Setting up the equation is the first step for this.

To start, "times a number" is multiplication. And since the sentence  said "3 times a number y" you can write out 3 x y OR 3y.

Finally, "is -42" is the word form of saying "= -42"

That will give you the equation of 3y = -42

Solving 3y = -42:

Step 1: Divide both sides of the equation by 3

3y/3 = - 42/3

Since any expression divided by itself equals 1, we can turn 3y/3 into just y. This will make our final equation y = -42/3

Step 2: Solve for -42/3, which will get you your answer of y = -14.

Hope I can help!

Answer:

First answer is correct and the answer for the second question is a = 30

The correct answer is (j - k)(x) = 10 + x.

To find the difference in the amount of money between Joel's and Kevin's accounts, we subtract the value of Kevin's account (k(x)) from Joel's account (j(x)).

(j - k)(x) = (25 + 3x) - (15 + 2x)

            = 25 - 15 + 3x - 2x

            = 10 + x

This expression represents how much more money is in Joel's account compared to Kevin's account after x weeks.

Therefore, the correct function is (j - k)(x) = 10 + x.

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Answer:

See below

Step-by-step explanation:

Part A

\(f(g(x))=f(\frac{x}{3})=3(\frac{x}{3})=x\\g(f(x))=g(3x)=\frac{3x}{3}=x\)

Since BOTH \(f(g(x))=x\) and \(g(f(x))=x\), then \(f\) and \(g\) are inverses of each other

Part B

\(f(g(x))=f(\frac{x+1}{2})=2(\frac{x+1}{2})+1=x+1+1=x+2\\g(f(x))=g(2x+1)=\frac{(2x+1)+1}{2}=\frac{2x+2}{2}=x+1\)

Since BOTH \(f(g(x))\neq x\) and \(g(f(x))\neq x\), then \(f\) and \(g\) are NOT inverses of each other

Answer:

\(f = \frac{1}{ {d}^{2} } \)

Answer: The Middle Ages lasted approximately from  the 5th to the late 15th century. It began with the fall of the Western Roman Empire and merged into the Renaissance and the Age of Discovery.

Answer:

16.97056

Step-by-step explanation:

Answer:

sorry not having idea about ans

Answer:

A construction company can remove

1/3 metric tons of dirt from a construction site in 1/6

hours.

What is the unit rate in metric tons per hour?

Me too

An Annual is not an example of an agreement.

Answer:

I'll setup the problem and you can compute the answer

Step-by-step explanation:

The formula for simple:

I = P*r*t

I = interest

P = loan amount

r = interest rate per period (period = days)

n = number of periods

P = 10,170

r = .0764/365

t = 272

Answer

θ is undefined for the condition given.

Explanation

θ = Cos⁻¹ (-8)

Cos θ ranges from -1 to 1, that is, -1 ≤ Cos θ ≤ 1

So, Cos θ = -8 that led to θ = Cos⁻¹ (-8) isn't pssible for Cosine.

Hope this Helps!!!

Answer:

first one

Step-by-step explanation:

is at least

We can conclude the proof of inequality : 3 (m + n)! ≥ m! + n! below.

In mathematics, the factorial of a non-negative integer n, denoted by n!, is the product of all positive integers less than or equal to n. Mathematically, we can write -

\($n! = n \times (n-1) \times \dots \times 1\)

Given is the inequality -

3 (m + n)! ≥ m! + n!

We have -

3 (m + n)!

3 {(m + n)(m + n - 1)(m + n - 2) ....... (3)(2)(1)}

3 {m² + mn - m + nm + n² - n}(m + n + 2) ...... (3)(2)(1)

3 {m² + n² - m - n + 2mn}(m + n + 2) ........ (3)(2)(1)

3 {m(m - 1) + n(n - 1) + 2mn}(m + n + 2) ....... (3)(2)(1)

Now, for (m! + n!) --

(m! + n!) = m(m - 1) .... (3)(2)(1) + n(n - 1) ..... (3)(2)(1)

It can be seen that -

3 {m(m - 1) + n(n - 1) + 2mn}(m + n + 2) ....... (3)(2)(1) ≥

m(m - 1) .... (3)(2)(1) + n(n - 1) ..... (3)(2)(1)

Hence, it can be seen that -

3 (m + n)! ≥ m! + n!

Therefore, we can conclude that 3 (m + n)! ≥ m! + n!.

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Answer:

\( \displaystyle d) 36 \: {in}^{2} \)

Step-by-step explanation:

the polygon can be separated in two parts

let's figure out the area of the rectangle

recall that,

given that,

thus substitute:

simplify multiplication:

let's figure out the area of the triangle

remember that,

\( \displaystyle A_{ \rm triangle} = \frac{1}{2} \times b\times h\)

substitute the value of b and h:

\( \displaystyle A_{ \rm triangle} = \frac{1}{2} \times 9\times 2\)

reduce fraction:

\( \displaystyle A_{ \rm triangle} = 9\)

now the area of the polygon would be the total area of the rectangle and triangle thus

\( \displaystyle A_{ \rm polygon} = 27 + 9\)

simplify addition:

\( \displaystyle A_{ \rm polygon} = 36\)

hence our answer is D)