Factor Trinomials:

1) 2x^2 + 14x + 20

2) 8x^2 + 64x +128

(Please show work)
I give out brainliest

Answers

Answer 1

Answer:

1. [tex]2(x+2)(x+5)[/tex]

2. [tex]8(x+4)^{2}[/tex]

Step-by-step explanation:

Problem #1:

1. Find the GCF (Greatest Common Factor)

[tex]GCF = 2[/tex]

2. Factor out the GCF and simplify.

[tex]2(x^{2} +7x+10)[/tex]

3. Factor [tex]x^{2} +7x+10[/tex]

Which two numbers add up to 7 and multiply to 10?

2 and 5

Rewrite the expression using the above.

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

4. Done!

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

Problem #2:

1. Find the GCF (Greatest Common Factor)

[tex]GCF=8[/tex]

2. Factor out the GCF and simplify.

[tex]8(x^{2} +8x+16)[/tex]

3. Use the perfect square formula. [tex]a^{2} +2ab+b^{2} =(a+b)^{2}[/tex]

[tex]a = x\\b=4[/tex]

[tex](x+4)^{2}[/tex]

4. Done!

[tex]8(x+4)^{2}[/tex]


Related Questions

very urgent can someone please solve thank you ​

Answers

Answer:

RP= 15.3 km (3 s.f.)

Step-by-step explanation:

Please see the attached pictures for the full solution.

Determine the value of x that would make quadrilateral LMNO a parallelogram.
3
9
11
18​

Answers

Answer:
x=9
Step-by-step explanation:
Diagonals of a parallelogram bisect each other. For quadrilateral LMNO to be a parallelogram, LP must equal PN, and OP must equal PM.
Set OP equal to PM and solve for x.
PM=OP
3x-9=18
Add 9 to both sides.
3x=27
Divide both sides by 3.
x=9

Answer:

9

Step-by-step explanation:

On a particular flight, the airline's income was $95,280 for a jumbo jet carrying 290 passengers. If a first-class ticket costs $680 and a coach ticket costs $288, how many of each ticket were sold for the flight?

Answers

Answer:

30 first-class tickets were sold and 260 coach tickets were sold.

Step-by-step explanation:

Let a first-class ticket be represented by f and let a coach ticket be represented by c.

On a particular flight, a jumbo jet was carrying 290 passengers. So, the sum of the first-class tickets and coach tickets must sum to 290:

[tex]f+c=290[/tex]

The total income was $95,280. Therefore:

[tex]680f+288c=95280[/tex]

We can now solve the system of equations. First, we can simplify the second equation by dividing everything by 8:

[tex]85f+36c=11910[/tex]

From the first equation, we can subtract f from both sides:

[tex]c=290-f[/tex]

Substitute:

[tex]85f+36(290-f)=11910[/tex]

Distribute:

[tex]85f+10440-36f=11910[/tex]

Simplify:

[tex]49f=1470[/tex]

So:

[tex]f=30[/tex]

From the previous equation:

[tex]c=290-f[/tex]

Substitute:

[tex]c=290-30=260[/tex]

30 first-class tickets were sold and 260 coach tickets were sold.

Can someone plz help me with this one problem plz!!!

I WILL MARK BRAINLIEST!!!

Answers

Answer:

(1,6) , (2,7) , (3,8) , (4,9) , (5,10)

Step-by-step explanation:

Given equation: y = x + 5

when x = 1, y = 1 + 5 = 6

(1,6)

when x = 2, y = 7

(2,7)

when x = 3 , y = 8

(3,8)

when x = 4 , y = 9

(4,9)

when x = 5 , y = 10

(5,10)

Which angle is complementary to DFE? Pls answer

Answers

Answer:

<DFA

Step-by-step explanation:

When combined (<DFA and <DFE), they'll form 90 degrees which will make them complementary

Answer:

Two angles are called complementary if their measures add to 90 degrees, and called supplementary if their measures add to 180 degrees. If two angles are complementary then they will add up to be 90, or inversely, if two angles add up to be 90, then they are complementary. If you know one acute angle, you can calculate its complementary angle by subtracting 90 and the angle. When the sum of two angles is equal to 90 degrees, they are called complementary angles. For example, 30 degrees and 60 degrees are complementary angles.

The complement of −135° is the angle that when added to −135° forms a right angle (90° ).

Step-by-step explanation:

What’s 4x + 3 = 2x + 23 ?

Answers

Combine like terms

4x+3=2x+23
-3. -3
4x=2x+20
-2x. -2x
2x=20
/2. /2
X=10

Answer:

= 10

Hope this helps if so don't hesitate to 'Thanks' and/or 'brainliest' this answer!

help!! i’m super confused on these math question explain !!

Answers

You are being asked to draw a line perpendicular to the graphed line which passes through the point (-6,5)

The slope of a perpendicular line is the opposite reciprocal: meaning you change the sign (from - to + or from + to -) and flip the numerator and denominator (for example if your slope is -2, the perpendicular line’s slope would be 1/2).

First, find the slope of the graphed line. The two points you are given are (-1, 4) and (-2, 7). The formula for slope is m = (y2 - y1) / (x2 - x1) where m is the slope, and (x1, y1) and (x2, y2) are points. Plugging these points into the slope formula you get:
m = (7-4)/ (-2+1) = 3/-1 = -3.

The opposite reciprocal of -3 is 1/3, so the slope of the new line is 1/3.

In slope-intercept form, equations look like this: y = mx + b. M is your slope, and b is your y-intercept. You know the slope of the perpendicular line is 1/3 but still need to find the y intercept. To do this, first plug in your slope to the formula: y = 1/3x + b. Next, plug in (-6,5) to the equation for x and y and then solve for b.
5 = 1/3(-6) + b
5 = -2 + b
7 = b

Now you know what b is, you now have the full equation of the line: y = 1/3x + 7. You can now graph the line, too.

For #2, you are being asked to draw a line parallel to the graphed line which passes through the point (6,5)

The slope of a parallel line is the same as the slope of the original line.

The two points you are given are (-6,0) and (0,9). Plug these into the slope formula:
m = (9-0)/(0+6) = 9/6

The equation of the parallel line so far is y = 9/6x + b

Plug the point (6,5) into the equation to solve for b.
5 = 9/6(6) + b
5 = 9 + b
-4 = b

The equation is y = 9/6x -4. Now you just have to graph it.

I hope this helps :)

WILL GIVE BRAINLIEST

Answers

Answer:

V=πr²h

V=(3.14)(15cm)²(325cm)

V=229,613 cm³

Answer:

d

Step-by-step explanation:

trust me i used online calculator and got that exact answer

pls make me brainliest :)

Square the binomial below:
(x– 4)

Answers

Answer:

x^2-8x+16

Step-by-step explanation:

(x-4)^2

x^2-4x-4x+16

x^2-8x+16

If 20 yards of carpet weighs 30 pounds, how much do 34 yards weigh in pounds?
PEOPLE!!!!! I NEED HELP! I HAVE AN EXAM COMING IN 2 DAYS!! PLEASE HELP!

Answers

Answer:

20/30=x/34

2/3=x/34

3x=2×34

3x=68

x=68/3

x=22.67pounds...

34 yards of carpet weighs 51 pounds.

What is the unitary method?

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given that, 20 yards of carpet weighs 30 pounds.

Here, 1 yard of carpet weighs = 30/20

= 1.5 pounds

34 yards of carpet weighs

= 34×1.5

= 51 pounds

Therefore, 34 yards of carpet weighs 51 pounds.

To learn more about the unitary method visit:

brainly.com/question/22056199.

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Evaluate the expression x + 9 when
x = 10

Answers

Answer:

19

Explanation:

Plug in x for x + 9. Once you do that, you’ll be able to get the answer.

4
3.
A factory can produce 720 wagons in an 8-hour
day. What is the unit rate per hour?
sle
B.

Answers

Answer:

9

Step-by-step explanation:

Answer:

90

Step-by-step explanation:

i think its 90 because if 720 could be produced in 8 hours then 90 are being produced each hour

Ann had $120 to spend on books. After buying 10 books she had $8.30 left. If each book costs the same, let b be the cost of each book Write an algebraic equation that represents the situation:

Answers

Answer:

11.17

120-8.30 an then ÷10

Answer:

120 - (10b) = $8.30

Step-by-step explanation:

Select all equations that have x = 3 as a solution.

Answers

Answer:

Plug in a 3 every time you see an "x" and the left side should equal the right side

Step-by-step explanation:

Please help me with finding the length of AC. I’ll make this 20 points since it’s kinda long. Please don’t guess my grades depends on it

Answers

Since the triangle is a right angled, to find one side we should use the pythagoras theorem.

The longed side of the triangle is called the hypotenuse.

In equation form:  x² + y² = z²

Therefore: 12² + x² = 13²

114+x²= 169

x²= 169-114

x²= 55

x = 7.41

Therefore the length of AC = 7.41

two horses are filling a pool

Answers

Answer:

What is the actual question?

Step-by-step explanation:

Can someone help me do 13, 14 and 15 thank u

Answers

Answer:

Step-by-step explanation:

Can someone please help me I'm stuck on this question im in desperate need of help

Answers

Answer:

A

Step-by-step explanation:

Point L's coordinates' difference is 7.

Point C's is 1.

Point H's is 2

And Point A's is 1

Hope that helps!

Answer:

A) Point L

Step-by-step explanation:

Point L (8,1)

8 for the x-axis and 1 for the y-axis

So the difference =(8-1-=7

While point A=(9-10)=-1

Point C=(2-3)=-1

Point H=(4-6)=-2

PLEASE HELP!!!!! Which graph represents the solution to this set of inequalities?
TYSM! :)
(A,B,C,or D??)

Answers

Answer:

a is the answer

Step-by-step explanation:

.......................

Put these numbers in order from least to greatest: -4 2/5 -4.5 -5.1 -4.45 -5 -

Answers

Answer:

-5.1, -5, -4.5, -4.45,-4 2/5

Answer:

-5.1, -5, -4.5,-4.45,-4 2/5,

Step-by-step explanation:

Lets put all the number in decimal form from least to greatest.

-4 2/5= -4.4

Remember the lower the negative integer is, the higher it is on the number line.

-5.1, -5, -4.5, -4.45, -4 2/5,

Four plumbers estimated the length of the radius of a cylindrical pipe. The estimates made by the plumbers are listed.

• Plumber W estimated that the radius had a length of 3/25 inches.
• Plumber X estimated that the radius had a length of \|3/11 inches.
• Plumber Y estimated that the radius had a length of 9/100 inches.
• Plumber Z estimated that the radius had a length of pi/24 inches.

Which list shows these lengths in order from greatest to least?

Answers

Answer:https://brainly.com/question/22157981

Step-by-step explanation:

https://brainly.com/question/22157981

A can vegetables has radius 1.8 inches in height 5.7 inches find the volume of the can use 3.14 for Pi

Answers

Answer:

about 58

Step-by-step explanation:

guys please help i have 5 mins left please 50 points

Answers

Answer:

domain: (4, 1, 0, -1, 1)

range: (2, 3, 0, -1, -3)

Step-by-step explanation:

domain: x-values

range: y-values

Answer:

Domain: {-1, 0, 1, 4}       Range: {-3, -1, 0, 2, 3}

Step-by-step explanation:

Hi there,

To find the domain, list all of the x values and put them in numerical order. Don't repeat the same numbers.

Do the same thing for the y values when finding the range.

Hope this helps. Cheers.

solve for x for the triangle

Answers

Step-by-step explanation:

90° + 2x-2 + x+5 = 180° [Angle sum property of triangle]

=> 90 + 2x + x - 2 + 5 = 180°

=> 3x + 93 = 180

=> 3x = 180 - 93

=> 3x = 87

[tex] = > x = \frac{87}{3} [/tex]

=> x = 29 (Ans)

Write the equation 3x + 6y = 12 in slope intercept form.

Answers

Answer:

Step-by-step explanation:

Choose Yes or No to tell whether the symbol will be reversed when the variable is isolated in each inequality?


Answers

Answer:

I am sorry but i need more information to anwser this question. I need to be able to see the symbol in order to help you. Have a great day! I hope you got them right!

Answer:

no :)

Step-by-step explanation:

Ms. Aluma is 165 cm tall. She wants to find her height in meters. Divide her height in centimeters by 100 to find her height in meters.

Answers

1.65 meters...........

Unit conversion is a way of converting some common units into another without changing their real value. Ms. Aluma is using the correct option.

What is Unit conversion?

Unit conversion is a way of converting some common units into another without changing their real value. for, example, 1 centimetre is equal to 10 mm, though the real measurement is still the same the units and numerical values have been changed.

Given that Ms Aluma is 165 cm tall and She wants to find her height in meters. Therefore, if we divide her height in centimeters by 100 to find her height in meters.

Since 1 meter is equal to 100 cm, therefore, the method used by Ms. Aluma is correct. Therefore, the height of Unit conversion is,

Height of Ms. Aluma = 165 cm

                                  = 165/100 meters

                                  = 1.65 meters

Hence, Ms. Aluma is using the correct option.

Learn more about Units conversion here:

https://brainly.com/question/4736731

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A company uses paper cups shaped like cones for its water cooler. Each cup has a height of 12 cm, and the base has a
radius of 3.5 cm. How much water is needed to fill 50 cups?
Use 3.14 for pi and do not round your answer.

Answers

Answer: 7693cm

Step-by-step explanation:

The volume of a cone is given as:

= 1/3πr²h

where π = 3.14

radius = 3.5cm

height = 12

Volume = 1/3πr²h

= 1/3 × 3.14 × 3.5² × 12

= 153.86cm³

Therefore, the amount of water that is needed to fill 50 cups will be:

= 153.86 × 50

= 7693cm

Our buyer client Heather just signed a purchase agreement for a $520,000 home. The LTVR is 60%. How much is Heather putting down on the purchase?

Answers

312,000$.

I just found 60 percent of 520,000 so I hope that’s what you wanted, and I am truly sorry if it isn’t.

I need help for geometry

Answers

the answer is 38 i believe?
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