Factor the expression

Factor The Expression

Answers

Answer 1

Answer:

5x²-3x-14

Step-by-step explanation:

(3x-6)(2x+3)+(2-x)(2+x) = (6x²+9x-12x-18)+(2²-x²)

                                     = 6x²+9x-12x-18+4-x²

                                     = 6x²-x²+9x-12x-18+4

                                     = 5x²-3x-14

Answer 2

Answer:

(x - 2)(5x + 7)

Step-by-step explanation:

(3x - 6)(2x + 3) + (2 - x)(2 + x) ← expand factors using FOIL

= 6x² - 3x - 18 + 4 - x² ← collect like terms

= 5x² - 3x - 14

Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.

product = 5 × - 14 = - 70 and sum = - 3

The factors are - 10 and + 7

Use these factors to split the x- term

5x² - 10x + 7x - 14 ( factor the first/second and third/fourth terms

= 5x(x - 2) + 7(x - 2) ← factor out (x - 2) from each term

= (x - 2)(5x + 7) ← in factored form


Related Questions

Can you help me please someone

Answers

Answer:

< HZG = 142 degrees

Step-by-step explanation:

180-38 = 142

<HZJ + <HZG = 180 degrees degrees (linear pair angles)

Hi Please I REALLY really REALLY need help with this question 20 POINTS
when f(x) is divided by x+4 the quotient is x^3+4x^2+3x+1+5/x+4
What is f(-4)

A)1
B)3
C)4
D)5

Answers

i think you just put -4 into the x's and solve

Ivy wants to earn at least $800 this week in commission. What is the minimum amount she needs to sell in order to earn $800 if she earns a 6.25% commission on everything she sells? Round your answer to the nearest dollar if necessary.

$14,600
$11,700
$12,800
$9,500

Answers

The answer would be C) $12,800.
N. x 6.25% = $800
N= $12,800

The blue dot is at what value on the number line?
十一
+ +++ ++++
-16
-10
?

Answers

Answer:

-22

Step-by-step explanation:

The answer issssssss -22

A car traveled at an average speed of 80 miles per hour for 3 hours and it consumed fuel at the rate of 34 miles per gallon. Approxamitly how many gallons of fuel did the car use for the entire 3 hour trip?

Answers

the car used approximately 7 gallons of fuel

Given f (x) = 3x+1 and g(x) = x-1, evaluate f(-2)

And please explain how you got that as the answer.

I will give Brainliest to the first person too :)

Answers

Answer:

f(-2) =  -5

Step-by-step explanation:

Actually, the function g(x) is irrelevant here.  We need only evaluate the function f(x) = 3x + 1 at x = -2:

f(-2) = 3(-2) + 1 = -6 + 1 = -5

f(-2) =  -5

Somebody help me please

Answers

-10, -8, 0 and 2

Hope this helps! ;)

Simplify

54
fully, giving your answer in the form
a

b

Answers

Answer:

[tex] \sqrt{54} = \sqrt{9 \times 6} = 3 \sqrt{6} [/tex]

Calculate the measure of the missing angle of the
quadrilateral pictured below:
E 110°
F 65°
D87°
G?
The missing angle measures

Answers

Step-by-step explanation:

The angles of rectangle add up to 360°

So the missing angle + 65 + 110 + 87 = 360

The missing angle + 262 = 360

The missing angle = 98°

please give me a brainliest answer

Step-by-step explanation:

? + 65°+ 110°+87° = 360°

? + 262° = 360°

? + 262 -262° = 360° - 262°

? = 98°

A garage sells cars.
It offers a discount of 20% off the normal price for cash.

Dave pays £5200 cash for a car.

Calculate the normal price of the car.

Answers

Answer:

6,500

Step-by-step explanation:

Discount = 20%

Therefore the cost price is 100 - 20 = 80%

so,

£5,200 = 80%

To find the 100% ( the cost of the car before the discount), invert the fraction.

100/80 x 5200/1 = 6,500

GIVING BRAINLIEST! (YOU MUST ANSWER CORRECTLY)

Answers

Answer:

100

Step-by-step explanation:

did you do tangent?

if so

you know that:

you needed to use a scientific calculator and use the TAN button

formula:

Tan 60=100/x

if not

you could measure but it might not have been exact and you should just use the calculator

(MARKING BRAINLIEST!) Jeremiah read 10 books in 6 months. Fill out a table of equivalent ratios and plot the
points on the coordinate axes provided.

Answers

(0,3) (10,6) (40,15)

what are the equations for these?? someone plz help me:(

Answers

Answer:

Can u give me a picture more clear

Solve for x. Help Help Help Help Help, I tried dividing 17/2 which gave me 8.5 but it’s wrong

Answers

Answer:

x = 15.9

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2 + b^2 = c^2  where a and b are the legs and c is the hypotenuse

6^2 + x^2 = 17^2

36+ x^2 = 289

x^2 = 289-36

x^2 =253

Take the square root of each side

sqrt(x^2) = sqrt( 253)

x = 15.90597

Rounding to the nearest tenth

x = 15.9

Twenty students are standing in line to buy food at a football game. The first three students
spend a total of $24. on food.
a. How much do the first three students spend on food per person? [1 point)

Answers

Answer:

$8

Step-by-step explanation:

If the first 3 students spend $24 on food total, and they split the bill equally, each of the 3 paid $8. We know this because 24 ÷ 3 = 8.

What's the slope of (6, 5) and (3, 7.5) ?​

Answers

Answer:

The slope of (6, 5) and (3, 7.5) is 5/-6.

As a decimal: (-0.83333333333...)

Step-by-step explanation:

Formula for slope:

[tex]m=\frac{y^2-y^1}{x^2-x^1}[/tex]

('m' means slope.)

[tex](x^1,y^1) =[/tex] coordinates of the first coordinate point

[tex](x^2,y^2)=[/tex] coordinates of the second coordinate point.

--------------------------

Coordinates:

[tex](6,5)(3,7.5)[/tex]

-------------------------

Now, I will simply plug the numbers into the formula.

[tex]m=\frac{7.5-5}{3-6} =\frac{2.5}{-3} =5/-6[/tex]

As a decimal: (-0.83333333333...)

The slope of the given points is 0.833

Slope, m, is given by the formula

[tex]m = \frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]

From the question

[tex]x_{1} = 6[/tex]

[tex]y_{1} = 5[/tex]

[tex]x_{2}=3[/tex]

[tex]y_{2}=7.5[/tex]

Putting the above parameters into the formula

[tex]m = \frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]

We get

[tex]m =\frac{7.5-5}{3-6}[/tex]

∴ [tex]m= \frac{2.5}{-3}[/tex]

[tex]m = 0.833[/tex]

Hence, the slope of the given points is 0.833

Learn more here: https://brainly.com/question/15366731

guys pls help me!!!!!!

Answers

Answer:

x=55*

y=125*

Step-by-step explanation:

In parallel lines, opposite angles are equal to each other so x=55.

In lines, adjacent (side by side) angles always add up to 180 so,

x+y=180

55+y=180

y=180-55

y=125

Solve v times w squared+ y= x. Solve for w. Please show me how you got the answer!

Answers

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

let's solve for " w "

[tex]vw {}^{2} + y = x[/tex]

[tex]vw {}^{2} = x - y[/tex]

[tex] {w}^{2} = \dfrac{x - y}{v} [/tex]

[tex]w = \sqrt{ \dfrac{x - y}{v} } [/tex]

Answer:

w = √( x - y ) / v

Step-by-step explanation:

in this situation, we are actually asked to make w the subject of the formula

this !means that we should make w be equal to every other variable meaning;

w = y + x

note that this is just an example

so, let us get started

we have;

vw² + y = x

first of all we have to move the y to the right hand side

it is more like collecting like terms so that at the end of the day we only end up with w on that side

vw² = x - y

now, we have to remove the ²

we will do that by square rooting both sides

√( vw )² = √( x - y )

the square root will remove the square because they are opposites of each other.

it is more like a multiplication sign canceling a division sign or when we bring a subtraction sign to the other side of the equation and it turns to an addition sign.

in our case, it is like bringing the square to the other side of the equation and it turns to a square root sign

so,

vw = √( x- y )

we ate almost done.

it is now time to remove the v by dividing through by v

this means that we remove the multiplication sign bonding the v and w through division just like the square root removing the square

vw / v = √( x - y ) / v

w = √( x - y ) / v

therefore , our answer is

w = √( x - y ) / v

Find the measure of all the angles. ​

Answers

Answer:

60

Step-by-step explanation:

All line segments are shown to be equal in length so all interior angles must equal 180 degrees.

Since all sides are equal length, the angles must be equal also.

All angles must be 60 degress and 60+60+60 =180

Answer:

60 degrees for all sides

Step-by-step explanation:

all equal and 60+ 60+ 60= 180

Find the missing amount)
Original: 70 ounces
New:________
%Increase: 50%

(not multiple choice)

Answers

Answer:

58HII IS YOUR ANSWER .......

Answer:

105 ounces

Step-by-step explanation:

Original = 70

New = x

Percent Increase = 50%

New = 70 + (50% * 70)

New = 70 + 35 = 105

-Chetan K

What the answer to (2x - 7) + 5(x -3)

Answers

the answer to (2x-7) + 5(x-3) is 7x - 22
Correct Answer: 7x - 22

(2x - 7) + 5(x -3)

(2x - 7) + 5x - 15

2x + 5x - 15 - 7

= 7x - 22

maths question pls help​

Answers

Answer:

11y=-22

y=-2

Step-by-step explanation:

6x+3y=12

6x-8y=34

3-(-8)=11

48=3 times 2 to the power of a 56=7 times 2 to the power of bWhat are the values of a and b?a= b=

Answers

9514 1404 393

Answer:

a = 4b = 3

Step-by-step explanation:

From your knowledge of multiplication tables, you know ...

  48 = 6·8 = 3·2·2·2·2 = 3·2^4 . . . . a = 4

  56 = 7·8 = 7·2·2·2 = 7·2^3 . . . . . . b = 3

2,962.9–4.38 =????
help plss dont know answer

Answers

The answer would be 2958.52

represents a line that passes through (3, –2) with a slope of negative StartFraction 4 Over 5 EndFraction?

Answers

Answer:

[tex]y = \frac{4}{5} x - \frac{22}{5} [/tex]

Step-by-step explanation:

[tex]y = mx + b[/tex]

[tex] - 2 = \frac{4}{5} (3) + b \\ - 2 = \frac{12}{5} + b \\ - 2 - \frac{12}{5} = b \\ - \frac{10}{5} - \frac{12}{5} = b \\ - \frac{22}{5} = b[/tex]

Therefore, the equation of the line that goes through point (3, -2)and has slope ⅘ is

[tex]y = \frac{4}{5} x - \frac{22}{5} [/tex]

Help pls. Three sodas cost$4.50 at a convenience store. How many would it cost to buy 10 sodas at the same price.

Answers

Answer: $15.00

Step-by-step explanation: If 3 sodas cost you $4.50 then you divide it by 3 to get $1.50 per soda. Then you multiply the number by ten to get $15.

Answer:

45 $

Step-by-step explanation:

basically take 4.50 and take the decimal point out and then multipy by ten.

Consider the fraction 13/40

Part A : write 13/40 as decimal. Use bar natotion if necessary.

Part B: when written as a decimal, is the rational number 13/40 a terminating or a repeating decimal.


Write your answer

Answers

Answer:

A- .325   B- Terminating

Step-by-step explanation:

a. 13/40=.325

B. Since bar natation is unecessary, the decimal is terminating

Help me with number 4 please thank you!

Answers

Answer:

4 bags, or 4 1/4 bags

Step-by-step explanation:

change 3 1/2 into a improper fraction, then change it to have a common denominator as 3/4. the expression would then be (14/4 + 3/4) divided by 1/2. 17/4 divided by 1/2 is 4 1/4. it would depend if they meant to fill the whole bag.

to write
algebraically
following expressions:
the
1. Double an X number.
2. Triple an X number.
3. Double a number x plus 5.
4. The square of the triple of a
number x.
5. Three-quarters of a
number x.

Answers

Step-by-step explanation:

1. x²

2. x³

3. x²+5

4. (3x)^2

5. 3/4x

What is the range of the given function?

Answers

Answer:

It's B

Step-by-step explanation:

"•"means it's included

° means it's not.

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