How do you factor an expression

Answers

Answer 1
Each term of 10x + 5 has 5 as a factor, and 10x + 5 = 5(2x + 1). To factor an expression by removing common factors proceed as in example 1. 3x is the greatest common factor of all three terms. Next look for factors that are common to all terms, and search out the greatest of these.

Related Questions

Use the following rules to graph and by label the ordered pairs on a coordinate grid with at least 4 points on the coordinate plane:



1. Maddy wrote a pattern for the
x coordinates starting at 3 and followed the rule “add 2.”



2. Ted wrote a pattern for all the y coordinates starting at 0 and followed the rule “add 4.”

Answers

Maddy's rule for obtaining the x-coordinate values and Ted's rule for

obtaining the y-coordinate values combine to form a linear graph.

Reasons:

Please find attached the graph with labelled ordered pairs created by Maddy's and Ted's rules.Method by which the graph is formed

The given rules used to graph the equations are;

Maddy's rule  for the x-coordinate values = x + 2, where, x ≥ 3

Ted's rule for the y-coordinate values = y + 4, where, y ≥ 0

Therefore, the following table of values can be generated;

[tex]\begin{tabular}{|c|c|}x&y\\3&0\\5&4\\7&8\\9&12\\11&16\end{array}\right][/tex]

The first difference of the y-values is constant and the difference in the x-

values is also a constant, therefore, the data represents a linear function

and the graph is also linear.

Using the above table of values obtained from Maddy's and Ted's rules, the

graph of the ordered pair can be plotted by entering the values in MS

Excel spread sheet and using the insert Scatter plot function.

Learn more about linear functions here:

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Tom was measuring a piece of wood to build a shelf for his daughter. The shelf is 36 inches long. He tells his daughter, Hadlee that the shelf is 3 ft. long. Hadlee argue with her father and says, “No, the shelf is 36 inches long, not 3 ft.” Who is correct? Justify your thinking.

Answers

they are the same length,because 3 fr is the same as 12 inches times 3 equals 36 inches

Question 16
A shipping box, in the shape of a cube, has a volume of 2.300 cubic inches. Estimate the length of the side of the shipping box to the nearest tenth

Answers

Answer:

2.300cb squred divide by 4 ull get .575

Step-by-step explanation:

Answer:

1.3

Step-by-step explanation:

First off, we know that volume = LxWxH

because this is a cube we know that L=W=H because all the sides are the same.

Now we set up the equation

[tex]x^{3} =2.3[/tex]

We can simplify by saying

[tex]\sqrt[3]{2.4}[/tex]

or we can put it in a calculator and get

1.320006...

to the nearest tenth

1.3

what is 95+138? i need help

Answers

Answer:

The answer is 233

hope this helps you

What is the quadrant in -294 degrees

Answers

Answer:

In the first quadrant

Step-by-step explanation:

Its between -270 and -360

X-8=37 – 8(x + 9)
Plssss help meee

Answers

Answer:

x=-3

Step-by-step explanation:

Consider squares ABCD and EFGH. Which of the following is true?
Square EFGH can be obtained from square ABCD using only reflection.
Square EFGH can be obtained from square ABCD using only dilation.
Square EFGH cannot be obtained from square ABCD.
Square EFGH can be obtained from square ABCD using only translation.

Answers

Answer:

I can't answer this because there is no attachment. I do not see a photo.

Step-by-step explanation:

It is not possible to do this without any other info such as the location of the points.

Answer:

Square EFGH can be obtained from square ABCD using only dilation.

Step-by-step explanation:

i got it correct on my quiz.


Find the missing angle ACB.
A. 90°
B. 70°
C. 45°
D. 40
E. 20°

Answers

Answer:

The answer would be D)

Step-by-step explanation:

The angles of a triangle ALWAYS add up to 180. 70+ 70= 140

140+40= 180

what is the distance between -2 and 6?

Answers

Answer:

8units

Step-by-step explanation:

Help me help me plz

Answers

Answer:

??????????????????????

7y +2-2y-9 x+12-x Simplified

Answers

Answer:

- 10 + 5y + 14

Step-by-step explanation:

write the following as an algebraic equation. Use x as the unknov
and use a sum.
The sum of a number and 38.9 is 45.5

Answers

Answer:

The unknown value of x is 6.6

Step-by-step explanation:

38.9 + x = 45.5

x = 45.5 - 38.9

x = 6.6

A penguin walks 10 feet in 6 seconds. At this speed:

How far does the penguin walk in 45 seconds?

How long does it take the penguin to walk 45 feet?

Explain or show your reasoning.
PLS KEEP THIS SIMPLE LIKE A 6TH GRADE ANSWER I JUST WANT TO KNOW THIS

Answers

Answer: The penguin will walk 75.15 feet in 45 sec

Answer:653745

Step-by-step explanation:

Reasoning Graph the set of ordered pairs (0, 2). (1.4), (2,6). (3.8). Determine whether the relationship is a linear function Explain how you know.​

Answers

Answer:

No, it does not. See below.

Step-by-step explanation:

Lets find out the linear equation that passes trough (-2, 0) and (0, -6).

We know every linear equation has the form: y = mx + b

Where m is the slope on the curve and b the independent term.

We know that, given 2 points (x1,y1) and (x2,y2) we can find the slope m as:

m = (y2-y1)/(x2-x1)

In our case lets replace (x1,y1) and (x2,y2) by (-2, 0) and (0, -6) (notice it could be done in the inverse sense where (-2, 0) is (x2,y2) and (0, -6) is (x1,y1) ). So, our slope is:

m = [-6 - 0] / [0 - (-2)]

m = -6/2 = -3

So, we have a downward linear function with slope -3, this is:

y =  -3x + b

Now, for finding b just replace any of the 2 points given in the equation. Lets replace (-2, 0):

0 = -3(-2) + b

0 = 6 + b

Subtracting 6 in both sides:

-6 = b

So, our independent term is -6 and the function is:

y = -3x - 6

Now lets see if this linear eqution passes trough (2,6). If it does, we can replace the values on the equation. Replacing x by 2:

y = -3(2) - 6 = = -6 - 6 = - 12

So, in our equation, we x is 2 y is -12, and not 6 as in the point (2,6). So, our equation does not passes trough (2,6)

Vanessa owed her friend $24. She paid back $8. How much more does Vanessa need to pay before her account is at zero? –$16 –$8 $8 $16

Answers

Answer:

The answer is $16

Step-by-step explanation:

Venessa owed her friend $24. She paid back $8.

Account status = 8 - 24 = -$16

The amount remaining to pay to make account zero 24 - 8 = $16.

Answer:

The answer is D.) 16

Step-by-step explanation:

To solve this problem you are gonna do subtraction. What you are going to subtract is 24 - 8, because Vanessa took $24.00 from her friend and they want to you figure out how much she needs to pay back and in math when you are trying to figure out problems like this then you would use subtraction.

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I'm so sorry if I did not make any seance but I hope you pass! :)

True or false: in the expression 6^8 there are 8 factors of 6

Answers

Answer:

true

Step-by-step explanation:

True but do you need to explain your answer?

Brenda makes wooden pumpkin coasters for the fall. She cuts small round posts into ⅔ -inch-thick disks of wood. How many coasters can Brenda make from a post that measures ½ foot in length?

Answers

The answer is 9. 1/2 foot is 6 inches, 6 inches divided by 2/3 inch is 9

I need help solving these ​

Answers

Answer:

m∠1 = 140°

m∠2 = 40°

m∠3 = 65°

m∠4 = 75°

m∠5 = 115°

Step-by-step explanation:

We will use a few different methods to find the angles:

A triangle's angles will always add up to 180°. With this information, we can find the last angle of the triangle on the left:

∠1+∠2+∠3=180°

60+80+∠3=180°

Let x represent the value of ∠3. Simplify addition:

[tex]140+x=180[/tex]

Subtract 140 from both sides:

[tex]140-140+x=180-140\\\\x=40[/tex]

The unknown angle is 40°. With this information, we can find the

m∠1:

m∠1 and the 40° we just found are supplementary angles, which means that their measures will add up to a total of 180°.

∠1+∠2=180°

Insert the value we know:

40°+∠2=180

Let x represent the value of ∠2. Subtract 40 from both sides:

[tex]40-40+x=180-40\\\\x=140[/tex]

There fore:

m∠1=140°

We can use this same rule to find the m∠2:

∠1+∠2=180°

or, we can use the vertical angles rule. The first angle we found (Which is 40°) is a vertical angle to m∠2, so they have the same value. Therefore:

m∠2=40°

To find m∠3, we need to find the other missing angle in the middle triangle. Use the supplementary angle rule, since the missing angle is supplementary to the angle that is 105°:

∠1+∠2=180°

Insert the known values, substituting x for the unknown angle:

[tex]x+105=180[/tex]

Subtract 105 from both sides:

[tex]x+105-105=180-105\\\\x=75[/tex]

The unknown angle is 75°. Now find m∠3, knowing that triangles add up to 180°:

m∠2+m∠3+75=180

Insert the m∠2, make m∠3 be x:

[tex]40+x+75=180[/tex]

Simplify addition:

[tex]115+x=180[/tex]

Subtract 115 from both sides:

[tex]115-115+x=180-115\\\\x=65[/tex]

Therefore:

m∠3=65°

To find m∠4, use the vertical angle rule.

Therefore:

m∠4=75°

To find m∠5, we could find all triangle measures of the least triangle, or we can use the following:

An exterior angle of a triangle is equal to the sum of the two opposite interior angles. The sum of exterior angle and interior angle is equal to 180 degrees.

The m∠5 is the exterior angle, and the opposite interior angles are 75° and 40°:

[tex]75+40=115[/tex]

Therefore:

m∠5=115°

:Done

How many cups of potatoes are needed if 1 cup of diced ham is used?

Answers

Answer:

i think 7 but i am not 100% sure

Step-by-step explanation:

Is 40.8 less than or greater than 0.71

Answers

Answer: greater than

Step-by-step explanation:

40.8 is greater than 0.71

Select three ratios that are equivalent to 11:1. Choose 3 answers: A 1:11 B 22:2 55 : 5 9:99 110: 10

Answers

Answer:

22:2   55:5   110:10

Step-by-step explanation:

In the following exercises, multiply

Answers

The answer is -3x/2

Step by step:

= −12x^4 − 48x^3 + 432x^2 + 1728x / 8x^3 + 32x^2 – 288x – 1152

= −3x^4 − 12x^3 + 108x^2 + 432x / 2x^3 + 8x^2 − 72x − 288

= 3x(−x−4) (x+6) (x−6) / 2(x+4) (x+6) (x−6)

= –3/2 x

A stadium has 3000 people, including fans and staff. The ratio of fans to staff is 17:3. If another 500 fans arrive then what is the new ratio of fans to staff?​

Answers

Step-by-step explanation:

Required Answer:-

Total number of people =3000

Let

the number of fans=17x

The number of staff=3x

First we need to find Both numbers of fans and staffATQ

[tex]{:}\longrightarrow[/tex][tex]\sf 17x+3x=3000 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf 20x=3000 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf x={\dfrac {3000}{20}}[/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf x=150 [/tex]

Number of fans=17x=17×150=2650Number of staff=3x=3×150=450____________________________

500 more fans arrived

Latest number of fans= 2650+500=3150Latest number of staff=450

Now the new ratio=

[tex]{:}\longrightarrow[/tex][tex]\sf {\dfrac {3150}{450}}[/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf {\dfrac {1575}{225}}[/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf {\dfrac {315}{45}}[/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf {\dfrac {63}{9}}[/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf {\dfrac {7}{1}}[/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf 7:1 [/tex]

[tex]\therefore[/tex]New ratio of fans to staff is 7:1.

Which statement describes the graph of this function? h(x) = 4x^2 - 100/8x - 20?

[tex]h(x) = \frac{4x^2 - 100}{8x - 20}[/tex]

A. There is a horizontal asymptote at y = 5.
B. There is a horizontal asymptote at y = 1.
C. The graph has an oblique asymptote.
D. There is a horizontal asymptote at [tex]y = \frac{1}{2}[/tex].

Answers

Answer:

ANSWER

Step-by-step explanation:

There is a horizontal asymptote at y=5

A function assigns the values. The correct option is C.

What is a Function?

A function assigns the value of each element of one set to the other specific element of another set.

The asymptote of the function is:

The vertical asymptote of the function lies at y=20/8.There exist no horizontal asymptote of the function.There exist an oblique asymptote of the function at y=(x/2)+(5/4).

Hence, the correct option is C.

Learn more about Function:

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there are 30 candies in a bag and you ate 9 of them what percentage did you eat?

Answers

Answer:

2.7% i think sorry

Step-by-step explanation:

Answer:

30%

Step-by-step explanation:

total candies=30

candies i ate=9

now,

% of candies i eat=9×100%/30

=30%

45= 5x-10 =?

no need for explanation I just need something quickly

Answers

X=11 there you go hun

Answer:

11

Step-by-step explanation:

5x-10=45

+10. +10

5x= 10+45

5x= 55

x= 11

Question 1 1 The area of a rectangle is 1 2/3 square feet. The width of the rectangle is 5/6 feet. What is the length of the rectangle? o foot D 11. feet 0 2 feet O2 feet Question 2 1 pMichael walks his dog along the same path every day The total distance is 10 and 2/3 blocks fighter walks a total distance of 10 2/3 blocks buddy ​

Answers

Answer:

easy don't be hard,just relax

Step-by-step explanation:

you need to relax

Answer: 2 ft.



Explanation: The area of a rectangle is length x width. Since we know the area and width already, we just need the length.

A=lw

A/w=l

If we convert the mixed number 1 2/3 to an improper fraction, we get 5/3.

5/3 / 5/6= 5/3 * 6/5= 30/15=2 ft

Michelle has 3 3/8 cups of cereal. A serving of cereal is 3/4 cup. How many servings of cereal does Michelle have ?

Answers

Answer:

4.5

Step-by-step explanation:

(3 3/8) / (3/4)= 4.5

The amount of servings of cereal that Michelle have is 4 1/2 servings of cereal

From the question, we are told that a serving of cereal is 3/4 cup, this can be expressed as:

1 serving of cereal = 3/4 cups

If Michelle has 3 3/8 cups of cereal, this can be expressed as;

x = 3 3/8 cups of cereals

Divide both expressions

1/x = 3/4 * 8/27

1/x = 6/27

x = 27/6

x = 9/2

Hence the amount of servings of cereal that Michelle have is 4 1/2 servings of cereal

Learn more on ratios here: https://brainly.com/question/3796978



Jalia has $500. She spends $220 on a pair of Yeezys for Christmas. Later she realizes that
she need to make more money to go shopping for clothes. She made a profit of $300
babysitting. She then spends $200 on clothes. On Christmas day, she realize she haven't
bought her siblings anything, and decides to split the money amongst her four siblings. How
much money does each sibling get?

Answers

Answer:

145

Step-by-step explanation:

500-220=280

280+300=580

580÷4=145

What is the slope of the line passing through the points (-3,4) and (2,-1)?​

Answers

Answer:

m=-1 (m is the slope)

Step-by-step explanation:

m=y2-y1/x2-x1

m=-1-4/2+3

m=-5/5

m=-1

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