Using the distributive property, Marta multiplied the binomial (2x + 3) by the trinomial (x2 + x – 2) and got the expression below.

(2x)(x2) + (2x)(x) + (2x)(–2) + (3)(x2) + (3)(x) + (3)(–2)

Which is the simplified product?

2x3 + 6x2 – x – 6
2x3 + x2 – x – 6
2x3 + 5x2 – x – 6
2x3 – x2 – 7x – 6

Answers

Answer 1

Answer:

its C i think :/

Step-by-step explanation:

Answer 2

The simplified product is 2x³ + 5x² - x - 6.

Option C is the correct answer.

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

(2x + 3) (x² + x - 2)

(2x)(x²) + (2x)(x) + (2x)(–2) + (3)(x²) + (3)(x) + (3)(–2)

2x³ + 2x² - 4x + 3x² + 3x - 6

2x³ + 5x² - x - 6

Thus,

The final expression is 2x³ + 5x² - x - 6.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ2


Related Questions

If you add 10 grams of sugar into 30 grams of 20 % sugar syrup, you will make ____ grams of ____% sugar syrup.

Answers

Answer:

40 grams of 40% sugar syrup

Step-by-step explanation:

20% of 30 grams = 6grams of sugar

6 grams + 10 grams = 16 grams of 40% instead of 30 now

Therefore, 40g----------100%

                  16g-----------40%

Answer:

   40 grams of 40% sugar syrup

Step-by-step explanation:

40 grams of 40% sugar syrup

30+10== 40 g  

 

20% sugar in 30  =  1/5 of the syrup is sugar. = 6 g of sugar

6+10 =  16g of sugar in 40 grams of syrup.

16/40=x/100

Cross multiplication

x=40

Once you have identified a problem, the next step is to determine the possible solutions, which are called

Answers

Answer:

decision alternatives

Step-by-step explanation:

uhhh yea thats pretty much it -

Need help ASAP!!!! Been thinking for a long time.

Answers

Answer:

81%

Step-by-step explanation:

First, let's set up 3 equations:

w*0.6 = x

x*1.5=y

y*0.9=z

Now, we can substitute x in the second equation for w*0.6:

w*0.6*1.5 = y

Lastly, we can substitute y in the last equation for w*0.6*1.5:

w*0.6*1.5*0.9=z

w*0.81=z

Therefore, z is 81 percent of w.

Find side x give answer to 1dp

Answers

Answer:

X= 10.8

Step-by-step explanation:

what number does w^2 - w^3 represent when w=-5

Answers

Answer:

-100

Step-by-step explanation:

(-5)^2- (-5)^3=

25-125= -100

Hey there!

plug in the value of w and solve:

(-5)²-(-5)³

25-(-125)

25-125

-100

Hence, -100 is the answer.

Let me know if you have any questions!

#LearningDoesn'tEnd

:-)

The shapes nelow are shaded to show two different fraftions, Are the fractions equivalent? Use the drop down menus to best explain your answerr

Answers

Answer:

Yes they are equivalent.

Step-by-step explanation:

They each represent one half.

Which represents the distance between A(2, 3) and B(-1,-1)?

Answers

Answer:

5 units

Step-by-step explanation:

(x1, y1) =A(2,3)

(x2,y2) =B(-1,-1)

Using distance formula,

AB^2 = (x2-x1) ^2 +(y2-y1) ^2

=(-1-2)^2 +(-1-3)^2

=9+16

=25

Therefore, AB=5 units

The point (4,200) means 4 bags contain 200 pounds of dog food.
True or false

Answers

It is true .................

Two linear equations

Answers

Answer:

x=3y-2

x+3y=6

if x value is above

place the value of x

3y-2+3y=6

3y+3y_=6+2=8

6y=8

y=8/6=4/3

y=4/3.

I don't know it's correct .which I think I did.

x=3,4/3-2

x=12/3-2/1

to make alceeam same 2/1we multiply by 3

x=12/3 -6/3

x=12-6/3

x=6/3

x=2

the answer is

2,4/3

A man is paid $9.60 per hour for a 40 hour week and he is paid at a time and a half for overtime. Find how many hours of overtime he worked when his wage for a certain week was $528.00

Answers

The answer is 30 hours of overtime
If you need an explanation ask me in the comments

A model of a house was drawn using a scale 2in= 12ft. If the model measures 10 inches in length then find the actual length of the house.

Answers

Answer:

60

Step-by-step explanation:

Because 2x5=10 and 12x5=60

help me at this thanks​...please this is an urgency

Answers

Answer:

if simplified is 30

Step-by-step explanation:

600 x 360/7,200

^^^^
What he said....

A bridge is built in the shape of a parabolic arch. The bridge has a span of s= 140 feet and a maximum height of s= 30 feet. Choose a suitable rectangular coordinate system and find the height of the arch at distances of 10, 30, and 50 feet from the center

Answers

Answer:

_Given data: _

The bridge has a span, s = 140 feet

Maximum height of the bridge, h = 25 feet

Let the vertex is,

V

=

(

0

,

25

)

Step-by-step explanation:

please EXPLAIN the center of this data set below

Answers

Answer:

well i don't exactly know but its best to ask your teacher for help <3

Step-by-step explanation:

Directions: Write each equation in slope intercept form (y = mx + b)

1...2x+y=1
x-2y=8

2... 3x+2y=4
x+2y=-4

3... 4x+y=1
x+y=-2

SHOW WORK

Answers

Answer:

Below.

I Hope it helps :)

Step-by-step explanation:

Slope intercept form :

y=mx+b

1.

[tex]2x + y = 1[/tex]

Slope intercept form :

[tex]y = - 2x + 1[/tex]

Equation :

[tex]x - 2y = 8[/tex]

Slope intercept form :

[tex] - 2y = - x + 8[/tex]

or

[tex] y = \frac{1}{2} x - 4[/tex]

2.

[tex]3x + 2y = 4[/tex]

Slope intercept form :

[tex]2y = - 3x + 4 \\ [/tex]

Divide through by 2

[tex]y = - \frac{3}{2} x + 2[/tex]

Equation :

[tex]x + 2y = - 4[/tex]

Slope intercept form :

[tex]2y = - x - 4[/tex]

Divide through by 2

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

3.

[tex]4x + y = 1[/tex]

Slope intercept form =

[tex]y = - 4x + 1[/tex]

Equation :

[tex]x + y = - 2[/tex]

Slope intercept form :

[tex]y = - x - 2[/tex]

evaluate and solve for the variable 70 = 7m

Answers

Answer:

10= m

Step-by-step explanation:

70 = 7m

70/7 = 7m/7

10= m

hope this helps! :)

Answer: 10m

Step-by-step explanation: m=10

A warehouse contains 55 boxes. Then a truck delivers a number of boxes at 12:00 p.m. and the team begins to unload them immediately . by 3:30 pm, the warehouse contains 90 boxes. supposes the boxes are unloaded at a constant rate. write a formula that shows that total number of boxes in the warehouse as a function of time where Q(t) is the total number of boxes, and t is the time since noon.
I WILL GIVE BRAINLIEST!!!!!!!!!!!!!

Answers

The function that shows this situation is given by Q(t) = 3.5t + 55

What is a linear equation?

A linear equation is in the form:

y = mx + b

Where y, x are variables, m is the rate of change and b is the y intercept.

Let Q(t) represent the total number of boxes, and t is the time since noon in hours.

A warehouse contains 55 boxes, hence b = 55. At 3:30 pm (3.5 hours), the warehouse contains 90 boxes.

90 = 3.5m + 55

m = 10

The function that shows this situation is given by Q(t) = 3.5t + 55

Find out more on linear equation at: https://brainly.com/question/12788590

What is the equation of the translated function? f(x) = (x – 1)2 – 5 f(x) = (x 1)2 5 f(x) = (x – 5)2 – 1 f(x) = (x 5)2 1

Answers

The equation of the translated function will be given by f(x) = ( x + 1 ) 2 + 5

What will be the equation?

The vertex of the original function is (0, 0 )

The vertex of the translated function is (- 1, 5 )

Given f(x) then f(x + a) represents a horizontal translation of f(x)

• If a > 0 then a shift to the left of a units

• If a < 0 then a shift to the right of a units

The translated graph has been shifted 1 unit left, thus

f(x) = (x + 1)²

Given f(x) then f(x) + c represents a vertical translation of f(x)

• If c > 0 then a shift up of c units

• If c < 0 then a shift down of c units

The translated graph has been shifted 5 units up,

Thus the equation of the translated function will be given by f(x) = ( x + 1 ) 2 + 5

To know more about functions follow

https://brainly.com/question/875118

Answer:

f(x) = ( x + 1 )^2 + 5

Step-by-step explanation:

What is the distance between the points ‒3 and 19 on a number line?

Answers

Answer:

22

Step-by-step explanation:

19-(-3)

19+3

22

Find the equation of the line that goes through the point
(-2,5) and a slope = -4
Submit
Please help

Answers

Answer:

y=-4x-8

Step-by-step explanation:

use the equation y-y1=m(x-x1) and solve for y

Answer:

y=-4x-3

Step-by-step explanation:

For this, you would use the point-slope formula, which is (y-y1)=m(x-x1), with x1 and y1 being the coordinates from the ordered pairs, and m being the slope. You can plug the values from the problem into the formula:

(y-5)=-4(x+2)

y-5=-4x-8

y=-4x-3

hope this helps! :)

Jen is 52 inches tall. Sam, her younger brother, is 7 inches shorter than Jen. How tall is Sam?

Answers

Answer:

45

Step-by-step explanation:

52-7

=45

PLEASE GIVE BRAINLIEST

Order the numbers from least to greatest [ -8, -6, -5, -7]

a. -5, -6, -7, -8 b. -6, -5, -8, -7 c. -7, -6, -8, -5 d. -8, -7, -6, -5

Answers

R= d) -8, -7, -6, -5.

STEPS
1)
1. Write the coordinates of the 1st and
2nd points.
2. Label the coordinates of the first point
as
(X1,Y1) and the 2nd point as (X2
Y2).
3. Use the formula
m=Y2-Y
X2 - X
1st Point 2nd Point
1st Point:
2nd Point:
m=Y-Y
X2 - X
m=Y-Y
X2 - X

Answers

Answer:

The first point is right in the origin, so it's (0,0)

Our second point is (2, 1)

Our first point (0,0) would look like if labeled

0(X1) , 0(Y1)

Our second point would look like if labeled

2(X2) , 1(Y2)

Order them to find the slope;

1 - 0        1

____ = ___, our slope for this is 1/2

2 - 0       2

If I ran 10x-2 now and then ran 2x+18 tommarow how much have I ran in total

Answers

Answer:

10x-2+2x+18

=10x+2x+18-2

=12x+16

Answer:8x-16

Step-by-step explanation:

please help me answer the question

Answers

Answer:

paul had £5x=£65

Step-by-step explanation:

Dan: Paul = 9:5

Dan £9x, Paul £5x

9x-26=5x+26

9x-5x=52

4x=52

x=13

9x=117

5x=65

paul had £5x=£65

Please help with my geometry

Answers

Answer:

this is so hard what grade are you in

Answers: C and A


Explanation: bla bla bla (sorry I need 20 words/letters)

please help me answer this question!! I don’t understand it at all. picture attached

Answers

Answer:

Step-by-step explanation:

whats the angle between m,n,i i think thats what its asking but i dont know for sure.

Points X and Z are on a number line, and point Y partitions line XZ into two parts so that the ratio of the length of line segment XY to the length of line segment YZ is 1:4. The coordinate of X is 1.3, and the coordinate of Y is 3.8. What is the coordinate of Z?

Answers

Answer:

13.8

Step-by-step explanation:

if Points X and Z are on a number line and point Y partition line XZ into two parts where XY: YZ = 1:4, this can be expressed as;

XY/YZ = 1/4

cross multiply;

YZ = 4XY

Also, if The coordinate of X is 1.3, and the coordinate of Y is 3.8, then the distance XY will be expressed as XY = 3.8 - 1.3

XY = 2.5

YZ = 4(2.5)

YZ = 10

Since Y is at 3.8 and YZ is 10, then coordinate Z will be YZ + Y

coordinate of Z = 10+3.8

coordinate of Z = 13.8

What are the values of w and x?

Answers

Step-by-step explanation:

Since angles opposite congruent sides in a triangle are congruent, w=67.

Now, since the sum of the measures of the interior angles of a triangle is 180 degrees, x=180-67-67=46

Solve for x.

x^2−3x=10

Answers

Answer:

Move all terms to the left side and set equal to zero. Then set each factor equal to zero.

x=5,−2

Step-by-step explanation:

I can do math

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