Which expression is equivalent to the algebraic expression below? Show your work. 3(-2x - 1) A. x + 2 B. x - 1 C. -6x - 3 D. -6x - 1

Answer: B

Step-by-step explanation:

When you are multiplying exponents, if the base is the same, then you can directly add the exponents together.

We can see that both bases are 6. That means we can add the exponents.

[tex]3+\frac{1}{4}[/tex]                             [common denominator]

[tex]\frac{12}{4}+\frac{1}{4}[/tex]                            [add]

[tex]\frac{13}{4}[/tex]

Now, we know that the answer will be [tex]6^1^3^/^4[/tex].

Answer:

Step-by-step explanation:

x^2 + 3x - 1 + 3x

x^2 + 6x - 1 is the solution

Answer:

Step-by-step explanation:

Given the ratio of fiction to nonfiction books in a classroom library is 2 to 3, then the total ratio of both books will be 2+3 = 5. If there are 24 books non fiction books in the library, to get the amount of fictionbooks that are there we will follow the following steps.

First we will calculate the total number of books in the shelf;

3/5 * Total number of books = total non fiction books

3/5 * Total number of books = 24

3*Total number of books = 5*24

3*Total number of books = 120

Total number of books = 120/3

Total number of books = 40

Therefore there are 40 total of books on the shelf.

Total number of fiction books = 2/5 * 40

Total number of fiction books = 2* 8

Total number of fiction books = 16 books

Hence there are 16 fiction books on the shelf.

Answer:

Infinite Amount of Solutions

Step-by-step explanation:

Step 1: Write out equation

2a + 6 = 2a + 5 + 1

Step 2: Combine like terms

2a + 6 = 2a + 6

Here we see that we have the same slope and same y-intercept or the same equation. When this happens, our solution set is infinite amount of solutions, as any value a can be plugged in and would be true.

Answer:

45

Step-by-step explanation:

Answer:

10 m

Step-by-step explanation:

15m - 5m = 10 m

both numbers have m which are alike

Answer: 10m

Step-by-step explanation: you subtract five from fifteen

Answer:

x= 0 y = 3

Step-by-step explanation:

i hope it helped u!!

f(x) = 3x – 2, g(x) = 7 – x2.

3f(1) - 49(-2)

Substitute the given value into the function and evaluate.

101

The value of 3f(1) - 49(-2) for the given function f(x) = 3x – 2 will be 101.

A certain kind of relationship called a function binds inputs to essentially one output.

A function can be regarded as a computer, which is helpful.

The machine will only accept specified inputs, described as the function's domain, and will potentially produce one output for each input.

Given the function,

f(x) = 3x – 2

Now,

f(1) = 3(1) - 2 = 1

So,

3f(1) - 49(-2) = 3×1 - 49(-2)

⇒ 3 + 98 = 101

Hence "The value of 3f(1) - 49(-2) for the given function f(x) = 3x – 2 will be 101".

For more about the function,

brainly.com/question/23712366

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Answer:

[tex]x=\frac{55}{3},\:y=\frac{22}{3}[/tex]

Step-by-step explanation:

Solve by Substitution ;

[tex]\begin{bmatrix}x+2y=33\\ x-y=11\end{bmatrix}\\\\\mathrm{Isolate}\:x\:\mathrm{for}\:x+2y=33:\quad x=33-2y\\\\\mathrm{Subsititute\:}x=33-2y\\\\\begin{bmatrix}33-2y-y=11\end{bmatrix}\\\\Simplify\\\begin{bmatrix}33-3y=11\end{bmatrix}\\\\\mathrm{Isolate}\:y\:\mathrm{for}\:33-3y=11:\quad y=\frac{22}{3}\\\mathrm{For\:}x=33-2y\\\\\mathrm{Subsititute\:}y=\frac{22}{3}\\x=33-2\times\frac{22}{3}\\\\x=\frac{55}{3}\\\\x=\frac{55}{3},\:y=\frac{22}{3}[/tex]

Answer:

a=-1

b=10

Step-by-step explanation:

Answer:

a: -1

b: 10

edge 2020

Answer:

x=(k+3)/y

Step-by-step explanation

First, we simplify by adding 3 to both sides of the equation

xy-3+3=k+3

Now it's xy=k+3

To get x we divide both sides by y

So x=(k+3)/y

Answer:

[tex]x = \frac{k + 3}{y} [/tex]

Step-by-step explanation:

Do all u can to make x stand alone.

Just obey the rules of fhe operations when they cross the equal sign.

Answer:

[tex]\frac{7}{2}[/tex]in

Step-by-step explanation:

First you must set up an equation. [tex]\frac{1}{2}x=\frac{7}{4}[/tex]

Then, you must solve for x.          [tex]x=\frac{7}{2}[/tex]

Part A

1 hour = 60 minutes

0.5 hours = 30 minutes (multiply both sides by 0.5)

11.5 hours = 11 hours + 0.5 hours

11.5 hours = 11 hours + 30 minutes

11.5 hours = 11 hours, 30 minutes is the answer

========================================

Part B

20% = 20/100 = 0.20

The lion sleeps 20% more than the cat, which means the lion sleeps 0.20*11.5 = 2.3 hours more

This leads to 11.5 + 2.3 = 13.8 hours being the total time the lion sleeps

1 hour = 60 minutes

0.8 hours = 48 minutes (multiply both sides by 0.8)

13.8 hours = 13 hours + 0.8 hours

13.8 hours = 13 hours + 48 minutes

13.8 hours = 13 hours, 48 minutes is the amount of time the lion sleeps

Answer:

yes she is right

Step-by-step explanation:3x + 3 is the same as 3 + 3x.  

the zero adds nothing to the 3x term. So this means that 3x +3 and 3 + 3 are the same.

i hope this helps you.

Answer:

(-5)2 would become -10, whereas -52 would just stay the same. Normally, a number next to parentheses without any other signs (+,-,×,÷) means that you multiply.

Answer:

4 you dumba**. Jesus christ

Step-by-step explanation:

Answer:

y = 3

Step-by-step explanation:

Slope-Intercept Form: y = mx + b

We know that a horizontal line has a slope of zero:

Slope m = 0

y = 0x + b

y = b

Since we are trying to find a line that fits with (-1, 3), we look solely at the y-value.

y = 3

We want to find the equation of a horizontal line such that it passes through a given point.

The answer is: y = 3

We know that the general form of a horizontal line is:

y = a

Where a is a real number.

Now, we also want that our line passes through the point (-1, 3).

Notice that the y-value of the point is 3, and in a horizontal line we can have only one value of y, so the horizontal line must be:

y = 3

The graph of the line and the point can be seen below

If you want to learn more you can read:

https://brainly.com/question/10863938

Answer:

b

Step-by-step explanation:

Answer:

96,000

Step-by-step explanation:

To round to the nearest thousand, we need to look at the digit in the hundreds place, which is 6. Since 6 > 5, we know that we need to round up (because 6 is closer to 10 than it is to 0). Currently, the number is 95 thousand so when rounding up, the answer will be 96,000.

Answer:

The answer is, 1,2,4, and 8

Step-by-step explanation:

Answer:

x = -3 and y = 7 or x = 1 and y = -1

Step-by-step explanation:

Answer:

-8

Step-by-step explanation:

just put in in a calculator

Step-by-step explanation:

2×2×6×6×9×0×6×9×4×6÷4+1-9= -8

its simple just calculate in a calculater....

Answer:  B. g(x) = –4(x – 3)2

Step-by-step explanation: To apply the changes to the equation of a vertical stretch of 4 and a translation of 3 units to the right, as well as the correct answer would be choice B.

The reason for this is when you apply a vertical stretch, because it changes the y-values (which causes it to vertically stretch or appear skinnier when graphed), you would multiply 4 to f(x) which would look like 4x^2.

Then, since you have a reflection over the x-axis, you must multiply a -1 to f(x) to reflect it over the x-axis which would result in -4x^2.

Finally, it also asks to shift the graph right 3 which by moving it right, you change the x values meaning you will perform f(x-3) to achieve this (subtract the value from x when you move right, and add the value to x when you move left).

Answer:

r≈4.775

Step-by-step explanation:

the formula for this is: r=(3V /4π)^⅓

Complete Question  

Find the average value of the function over the given interval. (Round your answer to three decimal places.) f(x) = 12e^x, [−6, 6] Find all values of x in the interval for which the function equals its average value. (Enter your answers as a comma-separated list. Round your answers to three decimal places.)

Answer:

The  average is  

  [tex]AV  =  403[/tex]

The value of  x is

   [tex]x =  4[/tex]

Step-by-step explanation:

From the question we are told that

  The equation is  [tex]f(t) =  12e^x[/tex]

  The  points consider is  [-6 , 6]

Generally the average value of the function over the given interval is mathematically represented as

          [tex]AV  =  \frac{1}{z-w} \int\limits^ z_w {f(x)} \, dx[/tex]

          [tex]AV  =  \frac{1}{ 6 - (-6)}  \int\limits^{6}_{-6} { 12e^x} \, dx[/tex]

          [tex]AV  =  \frac{1}{12 } e^x| \left 6} \atop {-6}} \right.[/tex]

          [tex]AV  = e^6 -e^{-6}[/tex]

          [tex]AV  =  403[/tex]

Generally when the function equal the average we have that

        [tex]f(x) =  12e^{x} =  403[/tex]

        [tex]e^{x} =  34[/tex]

          [tex]x =  ln(34)[/tex]

        [tex]x =  4[/tex]

third

hope it helps you

Answer: (6^-8/7^-12)

Step-by-step explanation:

In this type of problems, you apply the laws of indices which stated that

( a²/b²)³ =( a²×³/b²×³)

= ( a6/b6)

From this question now, applying the above principle

(6²/7³)-4

= (6²×-⁴/7³×-⁴)

= (6^-8/7^-12)

So the answer is C

Answer:

10500 m³

Step-by-step explanation:

60 × 25 × 7 = 10500 m³

Answer:  5, 3, 2, 4, 1

Step-by-step explanation:

The proof should be written as follows:

   Statement                                                Reason

1. ABCD is a parallelogram                      1. Given

2. AB||CD and AC||BD                              2. Definition of a parallelogram

3.  ∠EBD ≅ ∠CAB and ∠FAC ≅ ∠ABD    3. Corresponding Angles Thm

4.  ∠EBD ≅ ∠CDB and ∠ACD ≅ ∠FAC    4. Transitive Property of Cong

5. ∠CDB ≅ ∠CAB and ∠ACD ≅ ∠ABD    5. Alternate Interior Angles Thm

This is the order provided in your question:

5. ∠CDB ≅ ∠CAB and ∠ACD ≅ ∠ABD    5. Alternate Interior Angles Thm

3.  ∠EBD ≅ ∠CAB and ∠FAC ≅ ∠ABD    3. Corresponding Angles Thm

2. AB||CD and AC||BD                              2. Definition of a parallelogram

4.  ∠EBD ≅ ∠CDB and ∠ACD ≅ ∠FAC    4. Transitive Property of Cong

1. ABCD is a parallelogram                      1. Given

Note: #2 & #4 might be reversed