3. Factor each of the following polynomials using GCF and/or 2 binomials. Show your work. 4 points
A.5x^2 – 2x =
B.x^2 – 12x – 45 =
C.2x^2-x-15
D.9x^2-16​

Answers

Answer 1

Answer:

See below

Step-by-step explanation:

A

5x² – 2x = x(5x - 2)

B

x² – 12x – 45 = x² + 3x - 15x - 45 = x(x + 3) - 15(x + 3) = (x + 3)(x - 15)

C

2x² - x - 15 =  2x² + 5x - 6x - 15 = x(2x + 5) - 3(2x + 5) = (2x + 5)(x - 3)

D

9x² - 16 = (3x)² - 4² = (3x + 4)(3x - 4)​
Answer 2

Given :-

A.5x^2 – 2x = B.x^2 – 12x – 45 = C.2x^2-x-15 D.9x^2-16

To Find :-

Factorised form into two binomials .

Answer :-

A) 5x² - 2x

= x ( 5x -2 )

B) x² - 12x -45

= x² -15x + 3x -45

= x(x -15) +3( x -15)

= (x-15) ( x +3)

C) 2x² - x -15

= 2x² +5x - 6x -15

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

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

D) 9x² -16

=(3x)² -4²

= (3x+4)(3x-4) [using a²-b² = (a+b)(a-b) ]


Related Questions

Millie and Molly’s ages add up to 19 years Millie is three years older than Molly how old are they

Answers

Answer:

Millie is 11. Molly is 8.

Step-by-step explanation:

Step 1: Subtract 3 from 19. The reason why you do this is to make sure that you don't have an extra 3 lying in there for the next few steps.

19-3=16

Step 2: Divide 2 from 16. You do this because there are two sisters.

16÷2=8

8 will then become Molly's age

Step 3: Add 3 to 8. This will give you Millie's age because she is 3 years older than Molly.

3+8=11

In conclusion, Millie is 11 and Molly is 8.

What is 7054.72 rounded to the nearest 10?

Answers

Answer:

7054.7

Step-by-step explanation:

7054.7 is 7054.72 rounded to the nearst 10

Answer:

7050

Step-by-step explanation:

7050, 5 is in tens and the 4 is in ones but it's less than 5 so it will be zero

im not sure if there right or not

Answers

They are both correct.

Ques 11 When was her speed equal?

Question 11 options:

A)AB and BC
B)CD and DE
C)AB and CD
D)Her speed was never equal at any part of her ride.

Answers

Answer:

B and C

Step-by-step explanation:

As the graph shows the distance she traveled between B and C stay the same also know as the equal part of her ride.

What is the equation of the following Graph?

Answers

Answer:

From the shape of the graph we can state it is the transformation of the square root function:

f(x) = [tex]\sqrt{x}[/tex]

This is a reflection of f(x) over x-axis, translation 3 units left and 2 units up.

The transformation is:

g(x) = - f(x + 3) + 2

The equation is:

g(x) = - [tex]\sqrt{x+3} +2[/tex]

Its translated square root function

y=√x

Rotate along x axis

y=-√x

shift 3 units left

y=-√x+3

shift 2 units up

y=-√(x+3)+2


When a number N is rounded to the nearest ten, the result is 630, but when
N is rounded to the nearest hundred, the result is 600. What is N?
Find a number N that rounds to 20,000 when rounded to the nearest ten
thousand. What is the greatest value of N? Least value?

Answers

Answer:

N = 625 to 634N = 15000 or 24999

Step-by-step explanation:

Part 1

Let N = abc

If ab = 62 then c could be any number between 5 to 9, it will round up to 630If ab = 63 then c could be any number between 0 and 4, it will round down to 630Part 2N = 15000 ≈ 20000N = 24999 ≈ 20000

x+2y-z=3 -2x-y+z=-1 6x-3y-z=-7
Write the ordered triple in terms of x

Answers

9514 1404 393

Answer:

  (x, y, z) = (x, x+2, 3x+1)

Step-by-step explanation:

We can add twice the second equation to the first to get ...

  [eq4] -3x +0y +z = 1

Adding the first and second equations gives ...

  [eq5] -x +y +0z = 2

Solving [eq4] for z gives ...

  z = 3x +1

Solving [eq5] for y gives ...

  y = x +2

Then the solution triple is (x, y, z) = (x, x+2, 3x+1).

What is the approximate answer

Answers

Answer:

8

Step-by-step explanation:

or 8.24

Determine whether the graphs of the given equations are​ parallel, perpendicular, or neither.
y=−6
x=2
Choose the correct answer below.
A.
Perpendicular
B.
Neither
C.
Parallel

Answers

Perpendicular, they intersect at (2,-6) and form a 90 degree angle

Can some one help me

Answers

With what’d dndndnbd

what fraction is equal to 0.7

Answers

the equal fraction is 7/10

Step-by-step explanation:

it would be 7/10 and the steps are

step one identify the place value of the digits

step two use that determine what denominator of the fraction would be

step three remove the decimals point re write in the fraction

step four Express in terms of the lowest equivalent fraction

hope this helps

d/5 = 12/80 plz help

Answers

Multiply the denominators with the numerators and write in one line, then solve for d.

Answer:

= [tex]\frac{3}{4}[/tex]

Step-by-step explanation:

Evaluate the expression when b = 0.4.200b2−0.6÷bEnter your answer as a decimal in the box.

Answers

Answer:   its 150 i did the test

Step-by-step explanation:

Answer:

30.5

Step-by-step explanation:

I TOOK THE TEST AND IT WAS CORRECT IM FROM K12 BTW :D pls give me brainliest!

please answer this!!​

Answers

Answer:kqhnnvp

vj(]v] wbnr[fjAIJFP

B ":L

Step-by-step explanation:

42 43 45 ? 52

23 ? 33 38 43

Find the question marks

Answers

Answer:

48, 28 respectively

Step-by-step explanation:

You would find the pattern for both.

1) 42, 43, 45, ?, 52

the pattern is +1, +2, +3, +4

42 + 1 = 43 +2 = 45 + 3 = 48 + 4 = 52

42, 43, 45, 48, 52

2) 23, ?, 33, 38, 43

the pattern is to add 5

23 + 5 = 28 + 5 = 33 + 5 = 38 + 5 = 43

23, 28, 33, 38, 43

|-3.5d|= 15.4
Someone help asap!) djdjdjdjdjdidiiddididi

Answers

Answer:

easy

Step-by-step explanation:oklook

Question 2. In the given figure find the value of x in each angle of a triangle.

Very very important Plz.​

Answers

Step-by-step explanation:

[tex]\sf\pink{Given}[/tex]

Angle A is ( x + 10 )

Angle B is ( 3x + 5 )

Angle C is ( 2x + 15 )

[tex]\sf\pink{To\: Find}[/tex]

Value of "x" is ?

Explanation :

Rule :

Sum of all angles of a triangle is 180°

Therefore ,

[tex]\longrightarrow\bf{x + 10 + 3x + 5 + 2x + 15 = 180 }[/tex]

[tex]\longrightarrow\bf{x + 3x + 2x + 15 + 5 + 10 = 180 }[/tex]

[tex]\longrightarrow\bf{4x + 2x + 20 + 10 = 180 }[/tex]

[tex]\longrightarrow\bf{6x + 30 = 180 }[/tex]

[tex]\longrightarrow\bf{6x = 180 - 30 }[/tex]

[tex]\longrightarrow\bf{6x = 150 }[/tex]

[tex]\longrightarrow\bf{x = \dfrac{150}{6}}[/tex]

[tex]\longrightarrow\bf\pink{x = 25}[/tex]

Therefore value of x is 25 .

Now, finding the the measure of each angle by putting the value of "x" in their places.

∠A = (x + 10)° => (25 + 10)° => 35°

∠B = (3x + 5)° => (3×25 + 10)° => (75 + 5)° => 80°

∠C = (2x + 15)° => (2 × 25 + 10)° => (50 + 15)° => 65°

At the beginning of March, a store bought a leather couch at a cost of $960.70 and marked it up 20%. At the end of the month, the leather couch had not sold, so the store marked it down 25%. What was the discounted price?

Answers

Answer:

$864.63

Step-by-step explanation:

I hoped this helped:)

The price of a chair is AED 23 less than the price of a table. If three chairs and two tables cost AED 405. What is the price of the table?
Round your answer to a whole number.

Answers

A table is about AED 95:

Find the measure of the angle indicated.
1029
?
A) 102°
C) 114
B) 119
D) 131°

Answers

A

they are alternative exterior angles. When this is the case, the angles are equal.

Find the midpoint M of the line segment joining the points A = (-2, 8) and B = (-8, -4).

Answers

Answer:

M (- 5, 2 )

Step-by-step explanation:

Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is

( [tex]\frac{x_{1}+x_{2} }{2}[/tex] , [tex]\frac{y_{1}+y_{2} }{2}[/tex] )

Here (x₁, y₁ ) = A (- 2, 8 ) and (x₂, y₂ ) = B (- 8, - 4 ) , then

midpoint = ( [tex]\frac{-2-8}{2}[/tex] , [tex]\frac{8-4}{2}[/tex] ) = ( [tex]\frac{-10}{2}[/tex] , [tex]\frac{4}{2}[/tex] ) = (- 5, 2 )

Find (f o g)(x) and (g o f)(x). g(x) = x + 5 ; f(x) = 2x.

Answers

Answer:

The answers are

f

g

(

x

)

=

2

x

2

4

x

3

And

g

f

(

x

)

=

(

2

x

3

)

(

2

x

5

)

Explanation:

f

(

x

)

=

2

x

3

g

(

x

)

=

x

2

2

x

=

f

(

g

(

x

)

)

=

f

(

x

2

2

x

)

=

2

(

x

2

2

x

)

3

=

2

x

2

4

x

3

g

f

(

x

)

=

g

(

f

(

x

)

)

=

g

(

2

x

3

)

=

(

2

x

3

)

2

2

(

2

x

3

)

=

(

2

x

3

)

(

2

x

3

2

)

=

(

2

x

3

)

(

2

x

5

)

f

g

(

x

)

g

f

(

x

)

Step-by-step explanation:

I search them on goggle..and that's the answer...

Please help me with this I will give lots of points

Answers

Answer:

y = -1/2x + 5

Step-by-step explanation:

x + 2y = 10

Step 1: subtract x from both sides.

you will get:    2y = -x + 10

Step 2: get the y by itself, you can do this by dividing 2 by both sides.

=  2y = -x + 10

     y = -1/2x +10/2

Then, 10/2 simplifies to 5.

So, your answer is: y = -1/2x + 5

The perimeter of a rectangular rose garden is 40 feet. The length of the garden is 5 more
than twice the width. Find the dimensions of the rose garden. (P=2L+2W)

Answers

Answer:

Step-by-step explanation:

Length and width of rectangular rose garden is 15 and 5 feet

Given that;

Perimeter of rectangular rose garden = 40 feet

Length of the garden = 5 more  than twice the width

Find:

Dimensions of the rose garden

Computation:

Assume;

Width of garden = a

So,

Length of the garden = 2a + 5

Perimeter of rectangle = 2[l + b]

40 = 2[2a + 5 + a]

40 = 2[3a + 5]

40 = 6a + 10

6a = 40 - 10

6a = 30

a = 5

Width of garden = 5 feet

Length of the garden = 2a + 5

Length of the garden = 2(5) + 5

Length of the garden = 15 feet

Learn more:

https://brainly.com/question/21982865?referrer=searchResults

What is the value of the expression ………….


Help me

Answers

Answer:

-21

Step-by-step explanation:

(m*n)/p + ( -n )

4(9)/-3 + (-9) = (36/-3) - 9

-12 - 9 = -21

I NEED HELP AND I WILL MARK YOU ON BRAINLIST.

Answers

Answer:

12 and 30

Step-by-step explanation:

HFC:

6

12

18

24

30

LCM:

30

60

-------

12

24

36

48

60

Choose SSS, SAS, or neither to compare
these two triangles.
5
th

A
B
с
SSS
SAS
neither

Answers

SSS
all sides are congruent!:)

juan compro: 1/4 de pepino que cuesta $3, 1 1/2 de jamón que cuesta $120, 1/3 de tortillas que cuesta $6, 4/8 de queso que cuesta $45. cuanto dinero gasto en total? cuanto cuesta un kilo de queso? cuanto cuesta medio kilo de jamón? ¿Cuánto gastaría si comprara un kilo de tortilla, un kilo de pepino, y un kilo de jamón? si Juan tiene $430 que puede comprar sin que le sobre ni un peso?

Answers

En total, Juan gastó $205.25. 1 kilo de queso cuesta $90. 1/2 kilo de jamón cuesta $60. Si comprara un kilo de tortilla, un kilo de pepino y un kilo de jamón, Juan gastaría $129. Si Juan tiene $430, puede comprar 3 kilos de jamón, 1 kilo de queso, 5 kilos de pepino y 1 2/3 de tortillas.

Dado que Juan compró 1/4 de pepino que cuesta $3, 1 1/2 de jamón que cuesta $120, 1/3 de tortillas que cuesta $6 y 4/8 de queso que cuesta $45, para determinar cuánto dinero gastó en total, cuánto cuesta un kilo de queso, cuánto cuesta medio kilo de jamón, cuánto gastaría si comprara un kilo de tortilla, un kilo de pepino, y un kilo de jamón y, si Juan tiene $430, qué puede comprar sin que le sobre ni un peso, se deben realizar los siguientes cálculos:

Cuánto dinero gastó en total = valores x fracción comprada3 x 1/4 + 120 x 1 1/2 + 6 x 1/3 + 45 x 4/8 = X0.75 + 180 + 2 + 22.5 = X205.25 = X

Si 4/8 de queso cuestan $45, y 4/8 es igual a 1/2, 1 kilo de queso cuesta $90 (45 x 2).Si 1 kilo de jamón cuestan $120, 1/2 kilo de jamón cuesta $60 (120 / 2).Si comprara un kilo de tortilla, un kilo de pepino y un kilo de jamón, Juan gastaría $129 (3 + 6 + 120).Si Juan tiene $430, puede comprar 3 kilos de jamón, 1 kilo de queso, 5 kilos de pepino y 1 2/3 de tortillas (120 x 3 + 45 + 3 x 5 + 6 + 6 x 0.666).

Aprende más en https://brainly.com/question/15723794

The measure of one EXTERIOR angle of a regular

polygon is 13.8 degrees. How many sides does it have?

Answers

The number of sides of the regular polygon is 26

The formula for calculating the exterior angle of a regular polygon is expressed as:

Exterior angle of a polygon = 360 ÷ number of sides.

Given the following:

Exterior angle of a regular polygon = 13.8 degrees

Required

Number of sides

Substitute the given parameters into the formula as shown:

Exterior angle of a polygon = 360/13.8

Exterior angle of a polygon = 26.08

This means that the number of sides of the regular polygon is 26

Learn more here: https://brainly.com/question/8529407

Need help asap
What is 2/3 divided by 1/6 ?

A)3
B)4
C)4 1/12
D)4 1/2

Answers

The answer is for this mathematical equation is: B)4
2/3 divide by 1/6 is 4
Other Questions
What is the surface are of this Triangular Pyramid? identify the three parts of a nucleotide WILL MARK AS BRAINLIEST IF CORRECT find the gcf of 24 and 36 Do barber exists? If yes, why do people have. dirty long heard and hair Should the Constitution be easier to amend? Why or why not? Lisa used 1/4 cup of milk in her muffin recipe. How can you write 1/4 as a decimal Find the mean of the data in the dot plot PLS WILL GIVE BRAINLIST NOT the demonstrations at kent state university in may 1970 were held to protest what event? How do presidential and congressional elections provide opportunities for active deliberation among citizens? Answer the question below in no fewer than two paragraphs per question. Use the figure below to answer the following questions.What is m1?603090120 The most suitable prefix to use to express the mass of a sheet of paper is:A. Centi B. Milli C. kilo D. Mega Please select all of the things below that were the economic reasons that slavery is believed to NOT be beneficial. The square in the middle has an area of 1 square unit. What I'd the area of the entire rectangle in square units? Explain you reasoning rewrite the following statements correctly:-(i) plants with weak stem that spread on the ground are called herbs.(ii) roots conduct water to the leaves.(iii) the common salt is obtained from sea water by the process of condensation.(iv) Graphite is the hardest naturally occurring substance. what if two objects have the same mass but different sizes which is denser? expain Question 5 (1 point)Which pair of numbers are both between 6 and 7 ?42 and 4836 and 4930 and 42137 and 50 Please help I don't know how to do this Express in the form n:1Give n as a fully simplified fraction 20:15 write an equation of that line passes through the points (2.-1) and (2,5)