Write the expression in complete factored form.
(B+3)-c(b+3)

Answers

Answer 1

ANSWER

[tex](b + 3)(1 - c)[/tex]

EXPLANATION

The given expression is:

[tex](b + 3) - c(b + 3)[/tex]

We can rewrite this to reveal the invisible 1 multiplying the first term.

[tex]1(b + 3) - c(b + 3)[/tex]

There is a common factor of (b+3).

We factor to get;

[tex](b + 3)(1 - c)[/tex]

Therefore the completely factored form of the given expression is

[tex](b + 3)(1 - c)[/tex]


Related Questions

Which fraction is equivalent to
4/9?

14/19

2/3

6/11

8/18

Answers

Answer:

8/18

Step-by-step explanation:

[tex]\frac{4*2}{9*2} =\frac{8}{18}[/tex]

Answer:

8/18

Step-by-step explanation:

Teach me how to yeet

Answers

Answer:

d

Step-by-step explanation:

I'm thinking the last one

While 'yeet' is not an academically defined term, it typically refers to the act of throwing something with force. Drawing from a story on LibreTexts, one can learn the technique for effectively throwing objects such as a horseshoe, which involves grip, stance, focus on the target, and a smooth release.

To throw a horseshoe effectively, similar to learning how to "yeet," one must:

Hold the horseshoe in a comfortable but firm grip with your thumb along one of the sides of the horseshoe.

Stand at the designated throwing line and focus on the stake you're aiming at.

Swing your arm forward smoothly and release the horseshoe when your hand is about waist-high, keeping your eyes on the target for accuracy.

the art museum charges $13 for each adult admission and $8 for each child the total bill for the 182 people from a achool trip was $1606 how many adults and children went to the museum?

Answers

Answer:

152 kids and 30 adults

Step-by-step explanation:

To solve this, we must create a system of equations

Suppose:

x = the number of adults

y = the number of children

We know that a total of 182 people attended the trip.

So:

x + y = 182

This equation represents the number of people attending the trip.

To find out the cost, look at the problem.

It costs 13$ for one adult and 8$ for a child.

So:

13x + 8y = 1606

This equation represents the total cost to attend the museum. Now, we must solve.

[There are two ways to solve a system of equations, substitution and adding/subtracting. I will use adding and subtracting. The steps to solving the system of equations is in the photos below]

The final answer is 152 kids and 30 adults

I hope this helps!!! :)

What is the value of X?

Answers

These angles are vertical angles meaning that they are equal to each other. Here is the equation for this problem:

x + 40 = 3x

Combine like terms

(x-x) + 40 = 3x - x

40 = 2x

Isolate x

40/2 = 2x/2

x = 20

Hope this helped!

find the first five terms of a1=1/3 and d=1/2

Answers

Answer:

1/3, 5/6, 4/3, 11/6, 7/3.

Step-by-step explanation:

This is an arithmetic sequence where you add 1/2 to each term to get the next one.

a1 = 1/3 so a2  = 1/3 + 1/2 = 5/6, and a3 = 5/6 + 1/2 = 4/3.

The first 5 terms are:

1/3, 5/6, 4/3, 11/6, 7/3.

How do you do this?

Express the area of a rectangle with length 5m4 and width 6m2 as a monomial

Answers

Final answer:

To express the area of a rectangle as a monomial, multiply the length and width. This gives 30m6.

Explanation:

The area of a rectangle is calculated by multiplying its length and width. For a rectangle with length 5m4 and width 6m2, to express the area as a monomial, you multiply these two together. So, the area A = 5m4 * 6m2.

In terms of exponents, when we multiply terms with the same base (in this case, m), we add up the exponents. Thus, A = 30m4+2 = 30m6. Therefore, the area of the rectangle expressed as a monomial is 30m6.

Learn more about Monomial here:

https://brainly.com/question/9183135

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Which function is the inverse of (x) = -5x-42

Answers

Answer:

f-1(x) = (-1/5)x - 42/5

Step-by-step explanation:

f(x) = -5x - 42

Switch the x and y

x = -5y - 42

solve for y

-5y = x + 42

y = (-1/5)x - 42/5

In a circle with a 12-inch radius, find the length of a segment joining the mid-point of a 20 inch cord and the center of the circle

Answers

Check the picture below.

What is the longest side of the triangle shown?
Side DE
Side OD
Side OE

Answers

Side DE is the longest side of the triangle.

Answer:

Side DE

Step-by-step explanation:

Hello, the answer to your question is side DE.

According to one of the inequality theorems, it says that if two angles in a triangle are not equal, the side opposite to the largest angle is the longest side. Therefore, the side opposite 110* is side DE.

Hope this helps.

If. F(x) =-3x2-2 and g(x)=4x+2 what is value of (f+g)(2)

Answers

Answer:

[tex](f + g) (2) = -4[/tex]

Step-by-step explanation:

We have the functions

[tex]F(x) =-3x^2-2[/tex]

And

[tex]g(x)=4x+2[/tex]

We want to find [tex](f + g) (x)[/tex]

Then

[tex](f+g)(x) = f(x) + g(x)\\\\(f+g)(x) = -3x^2-2 + 4x+2\\\\(f+g)(x)= -3x^2 +4x[/tex]

finally we find [tex](f + g) (2)[/tex]

[tex](f + g) (2) = -3(2)^2 + 4(2)\\\\(f + g) (2) = -3*4 + 8\\\\(f + g) (2) = -12+ 8\\\\(f + g) (2) = -4[/tex]

Answer:

(f+g)2 = 20

Step-by-step explanation:

18. if F(x) =-3x2-2 and g(x)=4x+2 what is value of (f+g)(2)?

We know, (f+g)2= f(2) + g(2)

We will put 2 in the place of x for f(x) and g(x) and then find their result.

Solving:

(f+g)2= f(2) + g(2)

         =3(2)^2 -2 + 4(2) +2

         = 3(4) -2 + 8 +2

         = 12 -2 +8 +2

         = 20

So, (f+g)2 = 20

An electronics store had a 20% off sale,if a stereo originally cost $125,how much did the stereo cost during the sale

Answers

$100.

125 x 0.20 = 25

125 - 25 = $100

100 dollars because yeah

I need help please?!!!!!):

Answers

The mean is the average, add the numbers together and divide by the quantity of numbers:

10 + 12 + 15 + 12 + 13 + 11 + 10 + 13 = 96

96 / 8 = 12

The mean is 12

The median is the middle value.

Rearrange the numbers from smallest to largest:

10 , 10 , 11 , 12 , 12 , 13 , 13 , 15

There are an even amount of numbers, so find the middle two values, add together and divide by 2:

12 + 12 = 24 /2

Median = 12

The mean is 12 and the median is (12+12)/2=12

What is the approximate probability that a person is in the 45-54 age group given that they liked the movie?
A.1
B.0.52
C.0.35
D.0.18

Answers

Answer:

d.

Step-by-step explanation:

12+5+9+3+13+8=50=total

divide the total by the amount of 45-54s that liked the movie

9/50=0.18

Footware manufacturing is projected to decrease output by 8.4% from 2006 to 2016. If footware manufacturing had 1.8 billion dollars of output in 2006, approximately how much output is expected in 2016?

Answers

Answer:

The output expected in 2016 is 1.6488 x 10 ^9 or 1.6488 billion

Step-by-step explanation:

The output is decreased by 8.4% from 2006 to 2016.

Amount of output in 2006 = 1.8 billion dollars

Decrease in output = 8.4%

We need to find the 8.4% of 1.8 billion dollars and then subtract the result from 1 billion dollars.

We know 1.8 billion = 1,800,000,000 or 1.8 x 10^9

8.4% of 1.8 billion = 8.4/100 * (1.8 x 10^9)

                             = 151200000

So, Output expected in 2016 = 1.8 x 10^9 - 151200000

                                                 = 1648800000 or 1.6488 x 10 ^9

So, the output expected in 2016 is 1.6488 x 10 ^9 or 1.6488 billion.

Answer:

It would be D

Step-by-step explanation:

$1.65 billion

I know the answer but I need to understand HOW to get it. Bailey will roll a number cube and flip a coin for a probability experiment. The faces of the cube are labeled 1-6. The coin can land on heads or tails.If Bailey rolls the number cube once and flips the coin once which list contains only the outcomes in which the number cube lands on a number greater than 4.
The right answer was a list with says:
5, Heads
5, Tails
6, Heads
6, Tails

Answers

Answer:

Total output= H5, H6,T5, T6

Step-by-step explanation:

Bailey will roll a number cube and flip a coin for a probability experiment.

The faces of the cube are labeled 1-6= 6 possible outcomes

The coin can land on heads or tails= 2 possible outcomes

If Bailey rolls the number cube once= 1 output

and flips the coin once = 1 output

Total output will be combined outcome of cube and coin:

       possible outcome of cube= 1, 2, 3 , 4 , 5, 6

       possible outcome of coin= H, T

                                    (H for heads and T for tails)

Total output =possible combined outcome of cube and coin= H1, H2, H3 , H4 , H5, H6, T1, T2, T3 , T4 , T5, T6

Now

the outcomes in which the number cube lands on a number greater than :

reduces the total required output by removing the combination when the number cube lands on a number less than or equals to 4

therefore removing H1, H2, H3 , H4 and T1, T2, T3 , T4 from the total outcome will result in following list:

Total output= H5, H6,T5, T6 i.e.

5, Heads

5, Tails

6, Heads

6, Tails !

Please do help I'm very confused

Answers

Answer: 1,760 centimeters

Step-by-step explanation: Your Answer is above

Please answer right away

Answers

Answer:

0.42

Step-by-step explanation:

There are 12 different paths to the end. Five of those paths lead to money.

p(winning money) = 5/12 = 0.42

What is the value of f(15) for the given function? What does this value mean in the context of the situation you described in part a?

Answers

Answer:

[tex]f(15)=525\ ft^{2}[/tex]

f(15) is the area of the rectangular garden for a width of 15 ft

Step-by-step explanation:

we know that

[tex]f(x)=x(2x+5)[/tex]

where

x----> is the width of the rectangular garden

(2x+5) ----> is the length of the rectangular garden

so

f(15) -----> is the value of f(x) for x=15 ft

That means

f(15) is the area of the rectangular garden for a width of 15 ft

substitute the value of x and solve

[tex]f(15)=15(2(15)+5)[/tex]

[tex]f(15)=525\ ft^{2}[/tex]

Answer:f(15) is the area of the rectangular garden for a width of 15 ft

Step-by-step explanation:

we know that

where

x----> is the width of the rectangular garden

(2x+5) ----> is the length of the rectangular garden

so

f(15) -----> is the value of f(x) for x=15 ft

That means

f(15) is the area of the rectangular garden for a width of 15 ft

substitute the value of x and solve

Step-by-step explanation:

Can someone please help me with this question please. ​

Answers

First part is 32 4/5 = 8 1/5x. Divide both sides by 8 1/5 and the answer is 4

Step-by-step explanation:

[tex](a)\\h-\text{number of hours}\\\\8\dfrac{1}{5}\cdot h=32\dfrac{4}{5}\\(b)\\\text{convert the mixed numbers to the improper fractions}\\\\\dfrac{8\cdot5+1}{5}h=\dfrac{32\cdot5+4}{5}\\\\\dfrac{41}{5}h=\dfrac{164}{5}\qquad\text{multiply both sides by 5}\\\\41h=164\qquad\text{divide both sides by 41}\\\\h=4[/tex]

[tex]\text{Answer:\ 4\ hours}[/tex]

A car cost $20,000 when it was purchased. The value of the car decreases by 8% each year. Find the rate of decay each month and select the correct answer below. −0.006924% −0.006667% −0.666667% −0.0081%

Answers

To find the monthly rate of decay, we convert the annual decay rate of 8% to a monthly rate using the formula for compound interest. The monthly rate comes out to be approximately -0.6734%, which is closest to the provided option of -0.667%.

To find the monthly rate of decay for a car that depreciates 8% annually, we should convert the annual decay rate to a monthly decay rate assuming compound interest. This calculation involves using the formula for converting an annual percentage rate to a monthly rate when compounded monthly:

Monthly rate = [tex](1 + Annual rate)^(1/12)[/tex] - 1

Substitute the given annual rate of decay (-0.08 or -8%) into the formula:

Monthly rate = [tex](1 - 0.08)^(1/12)[/tex] - 1

This calculation gives us:

Monthly rate = [tex](0.92)^(1/12)[/tex] - 1
Approximately -0.006734

Expressed as a percentage, the monthly rate of decay is approximately -0.6734%, which means the correct answer is not exactly presented in the choices. However, the closest value from the options provided is -0.667%.

y is two times the value of x

The equation is y=

Answers

Y=2x should be correct

Y is two times the value of X, which can be represented as Y = 2X.

This indicates a directly proportional relationship between Y and X, where Y increases as X increases.

What is the smallest prime factor of 1821?

Answers

Answer: 3×607

Step-by-step explanation:

Prime factor is a number that can be divided by itself and 1 to get the quotient 0. so according to 1821 this can be divided by 1 and 3 to get a 0 quotient so because 1(unique number ) is not considered as a prime factor 3 is the answer for this question.

618 runners registered for the marathon. Of these runners 0.8% completed the race in under 2 hr 15 min. a) how many runners completed the race in this time?
EXPLAIN HOW TO SOLVE THIS

Answers

Answer:

Exact = 4.944 Rounded = about 5 Reality = 4 since there can’t be 99.4% of an human.

Step-by-step explanation:

0.8/100 = x/618

618(0.8) = 100x

494.4 = 100x

/100. /100

x = 4.944

The number of runners that completed the race in under 2 hr 15 min will be 5 approximately.

What is the percentage?

The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates for one hundred percent. It is symbolized by the character '%'.

The percentage is given as,

Percentage (P) = [Final value - Initial value] / Initial value x 100

618 runners registered for the marathon. Of these runners, 0.8% completed the race in under 2 hr 15 min.

Let "N" be the number of runners who completed the race. Then the equation is given as,

0.8% = (N / 618) x 100

0.008 = N / 618

N = 0.008 x 618

N = 4.944

N ≈ 5

The number of runners that completed the race in under 2 hr 15 min will be 5 approximately.

More about the percentage link is given below.

https://brainly.com/question/8011401

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which statements are true about the ordered pair (-1,5) and the system of equations x+y=4 x-y=-6​

Answers

Answer:

A) x+y=4

B) x-y=-6​

We add both equations and get

2x = -2 so x = -1

and y = 5

So the ordered pair (-1, 5) is the solution to the equations.

Step-by-step explanation:

-1+5=4
And
-5+1=-4
So it’s x+y=4

If the area of BAC=8, what is the area of EDF. Enter a decimal rounded to the tenths.
PLEASE NEED HELP

Answers

Answer:

4.5 in²

Step-by-step explanation:

Given that the triangles are similar then

linear ratio of corresponding sides = 3 : 4, then

ratio of corresponding areas = 3² : 4² = 9 : 16

let the area of ΔEDF be x then by proportion

[tex]\frac{x}{9}[/tex] = [tex]\frac{8}{16}[/tex] ( cross- multiply )

16x = 72 ( divide both sides by 16 )

x = 72 ÷ 16 = 4.5

Area of ΔEDF = 4.5 in²

Find the measure of each interior angle of a regular convex dodecagon. Show equations and all work that leads to your answer.

Answers

The exterior angles to any convex polygon sum to 360 degrees in measure, so that for a regular dodecagon (12-gon) each exterior angle has measure

[tex]\dfrac{360^\circ}{12}=30^\circ[/tex]

Exterior angles are complementary to interior angles, which means each interior angle has measure

[tex]180^\circ-30^\circ=\boxed{150^\circ}[/tex]

A sphere and a cylinder have the same radius and height. The volume of the cylinder is 21 m³. What is the volume of the sphere? 6 m² 7 m³ 14 m³ 28 m³

Answers

Answer: Third option

[tex]V_s=14\ m^3[/tex]

Step-by-step explanation:

The volume of a sphere is:

[tex]V_s=\frac{4}{3}\pi r^3[/tex]

Where r is the radius of the sphere

The volume of a cylinder is:

[tex]V_c = \pi r ^ 2 h[/tex]

Where h is the height of the cylinder and r is the radius

We assume that the height of the sphere is its diameter or 2 times its radius.

Then [tex]2r = h[/tex]

[tex]V_c= 21\ m^3=\pi r ^ 2 h[/tex]

[tex]V_c= 21\ m^3=\pi r ^ 2(2r)[/tex]

We solve the equation for r

[tex]\frac{21}{2\pi}=r ^ 3\\\\r= \sqrt[3]{\frac{21}{2\pi}}\\\\r=1.495\ m[/tex]

The radius of the cylinder is equal to the radius of the sphere

Finally

[tex]V_s=\frac{4}{3}\pi (1.495)^3[/tex]

[tex]V_s=14\ m^3[/tex]

Which expression is equivalent to 8a + 20? (5 points)

Select one:
a. 4(2a + 20)
b. 4(2a + 5)
c. 4(4a + 16)
d. 4(4a + 5)

Answers

It is B that is correct because:

4(2a + 5) = 8a + 20

Answer:

The answer is B. Hope it Helps

Step-by-step explanation:

What are the solutions of the equation 4x+21=−(13)x+4+6 ?

Answers

Answer is -11/17.

I've attached an image to show you how I got this answer.

11/17 THERE YOU GO YOU ARE WELCOME

Solve the system y = 3x + 2 and 3y = 9x + 6 by using graph paper or graphing technology. What is the solution to the system?

Answers

Answer:

Infinitely many solution

Step-by-step explanation:

The given equations are:

y = 3x + 2

3y = 9x + 6

We graph the two equations as shown in the attachment.

We can see that the second equation is lying on top of the first one.

This means that, they have infinitely many solutions.

Answer:

The provided system of equations have infinitely many solutions.

Step-by-step explanation:

Consider the provided system of equations:

y = 3x + 2 and 3y = 9x + 6

Now use the graphing technology in order to draw the graph of the equations.

The graph of the provided system of equations is shown in figure 1:

As it can be observed that the second equation is lying on top of the first one.

Therefore, they have infinitely many solutions.

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