Expand and simplify (2x + 1)(x + 3)

Answers

Answer 1

expand and simplify (2x + 1)(x + 3)

answer : [tex]2x^2+7x+3[/tex]

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explanation : expand the polynomial using the FOIL method.

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FOIL : a technique for distributing two binomials. the letters FOIL stand for first, outer, inner, last. first means multiply the terms which occur first in each binomial, outer means multiply the outermost terms in the product, inner means multiply the innermost terms, and last means multiply the terms which occur last in each binomial.

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step 1 : multiply each term in the first parentheses by each term in the second parentheses (FOIL)

ex : [tex]2x * x+2x * 3+x+3[/tex]

step 2 : calculate the product

ex: [tex]2x^2+2x * 3+x+3[/tex]

step 3 : calculate the product

ex: [tex]2x^2+6x+x+3[/tex]

step 4 : collect like terms

ex: [tex]2x^2+7x+3[/tex]

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solution : [tex]2x^2+7x+3[/tex]

hope this helps !

- audrey ♡


Related Questions

A house plan is drawn to the scale of 1/4 inch = 4 ft. What is the length of the house if it measures 3 3/8 inches on the floor plain.​

Answers

Answer:

54

Step-by-step explanation:

3 3/8 / 1/4 = 13 1/2

13 1/2 x 4 = 54

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B i think because if u ask a small group then no one knows

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-10 for 9 and I can’t see 10

Find the volume of the composite figure. Round your answer to the nearest hundredth.
A. 509.77 mm
B.
589.24 mm
C. 590.77 mm
D. 598.24 mm

Answers

Answer:

c. 590.77

Step-by-step explanation:

on e2020 :)

Raffle tickets will be sold at an event. The graph shows the amount of revenue, in dollars, the event will raise if different numbers of tickets are sold. 100 How much revenue will the event raise for each raffle ticket sold? 90 А $4.00 80 B $2.00 70 С $1.50 D $0.75 60 Revenue (5) SO 40 30 20 10 4 8 12 16 28 32 20 24 Tickets Sold 36 40​

Answers

9514 1404 393

Answer:

  C.  $1.50

Step-by-step explanation:

The graph is a straight line through the origin, so the revenue is proportional to the number of tickets. The ratio of revenue to tickets will tell you the money raised for each ticket sold. Pick any point on the graph and divide the revenue value by the number of tickets.

The division can be easy if the number of tickets is 10. We see that the revenue for 10 tickets is $15, so the amount raised for each ticket is ...

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Solve for x.
X + 9
2x 111
x = [?]

Answers

Answer:

120

Step-by-step explanation:

Angle x + 9 and 2x - 111 are adjacent angles.

Adjacent angles are equal.

2x - 111 = x + 9

2x - x = 9 + 111

x = 120

Answer:

2x-111=x+9[corresponding angle]

2x-x=111+9

x=120

the suppliment angle of 3 by 4 of 160 ° is​

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The answer is 60 degrees

Plz help me well mark brainliest if you are correct!.....

Answers

Answer:

The first one is the answer to the question

Use the function below to find F(3).
F(x) = (1/4)^x

Answers

Answer:

The answer is 0.015625

Answer:

Step-by-step explanation:

F(x) = (1/4)^x    F(3)

F(3) = (1/4)^3

F(3) = (1/4)×(1/4)×(1/4)

F(3) = 1/64

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Answers

9514 1404 393

Answer:

MN = 68°LM = 25°KLN = 180°JLN = 248°JN = 112°NJL = 267°

Step-by-step explanation:

The relevant relationships are ...

the sum of arcs around a circle is 360°a diameter divides the circle into two 180° arcsthe whole is the sum of the partsthe measure of an arc is the measure of the corresponding central angle

__

The arc measures can be found to be ...

  MN = 68°

  LM = 180° -68° -87° = 25° . . . . semicircle KLN less the marked angles

  KLN = 180° . . . . a semicircle

  JLN = JM +MN = 180° +68° = 248° . . . . semicircle JLM + MN

  JN = 180° -68° = 112° . . . . semicircle JNM less MN

  NJL = 180° +87° = 267° . . . . semicircle NJK + KL

What percent of 186 is 93?


No links please help

Answers

Answer: 50%

Step-by-step explanation:

Answer:

What percent of 186 is 93?

answer:50

Determine if the two triangles shown are similar. If so, write the similarity statement.
Question 16 options:

A)

ΔSUD ∼ ΔTUE

B)

Impossible to determine.

C)

The triangles are not similar.

D)

ΔSUD ∼ ΔEUT

Answers

Answer:

C) The triangles are not similar.

Step-by-step explanation:

These triangles are not similar. Similar triangles are triangles with the same angle measurements and proportionate side measures. However, these sides are not proportionate and therefore the triangles are not similar. You can tell the sides are not proportionate because on one triangle the two given sides (which are corresponding with the other two given sides) are congruent but the other triangle has no congruent sides. This also means that the smaller triangle is isosceles while the larger one is scalene, and different triangle types cannot be similar.

Solve for <2.
499
62 = [?]
44/42

Answers

Answer:

Solution given'

<2+90+49=180°[sum of interior angle of a triangle]

<2=180-139

<2=41°

Select the correct answer.
Solve the following equation by completing the square.
1/4x^2 + x + 1/4 = 0

Answers

Answer:

the answer is it the picture

Step-by-step explanation:

I think that's the answer

...I think...

HELP. LIKE- WHICH ONE IS THE ANSWER? ALSO EXPLAIN A BIT

Answers

Answer:

perpendicular lines are when two lines intercect in a right angle. so it would be A then

Step-by-step explanation:

A has a right degree angle where the two lines cross, so this is the answer

B that is not a right angle it has acute and obtuse angles

C does not even have two lines that touch

D the two lines don't cross at all

E is an acute angle

B, C,D, and E are not the answers

Nathan is a recreational cyclist. He can travel 10 miles in one hour on his bicycle. Which graph represents the number of miles Nathan can travel in x hours?

Answers

Answer:

See attachment for graph

Step-by-step explanation:

Given

[tex]1\ hr = 10\ miles[/tex]

Required

The graph that shows the number of miles in x hours

We have:

[tex]1\ hr = 10\ miles[/tex]

Multiply both sides by x

[tex]x * 1hr = 10miles * x[/tex]

[tex]xhr=10x\ miles[/tex]

So, the function is:

[tex]f(x) =10x[/tex]

The numerator of a fraction is 9 and the denominator is 6. All of the following numbers are equivalent except ____.

○ 2/3
○ 3/2
○ 1 ½
○ 18/12​

Answers

2/3 Hass to be the answer because the larger number nine would be on top as the numerator. Therefore, I know this without even having to simplify. Hope this helps :-)

Answer:

2/3

Step-by-step explanation:

Find the slope of the line that passes through (-1, -3) and (-2,2).

Answers

Answer:

-5

Step-by-step explanation:

Answer:

slope = -5

Step-by-step explanation:

m = y2-y1/x2-x1 (this is the equation for finding a slope of 2 points)

so plug them into this equation.

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A painter bought 12 gallons of paint, just
enough to cover two rooms. One room is
twice the size of the other and requires
three coats of paint. The smaller room
requires only two coats. Then the client
decided not to paint the smaller room
after all.
Let x be the number of gallons it takes for one
coat of paint in the large room and y the
number for one coat of paint in the small room.
How many gallons of paint will be left?

Answers

Answer:

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Write an equation in slope-intercept form of the line that passes through -9, 5 and -3,3 .

Answers

Answer:

y = -1/3x + 2

Step-by-step explanation:

First, find the slope using rise over run: (y2 - y1) / (x2 - x1)

Plug in the points:

(y2 - y1) / (x2 - x1)

(3 - 5) / (-3 + 9)

-2 / 6

= -1/3

Plug in a given point and the slope into y = mx + b, and solve for b:

y = mx + b

3 = -1/3(-3) + b

3 = 1 + b

2 = b

Plug in the slope and y intercept into y = mx + b

y = -1/3x + 2

So, the equation is y = -1/3x + 2

According to a survey conducted by Deloitte in 2017, 0.46 of U.S. smartphone owners have made an effort to limit their phone use in the past. In a sample of 96 randomly selected U.S. smartphone owners, approximately __________ owners, give or take __________, will have attempted to limit their cell phone use in the past. Assume each pick is independent

Answers

Answer:

44.16 ; 4.88

Step-by-step explanation:

Recall :

Mean, μ = np

Sample size, n = 96

Sample proportion, p = 0.46

For the mean :

Mean, μ = 96 * 0.46

0.46 * 96 = 44.16

The standard deviation :

σ = √npq

q = 1 - p = 1 - 0.46 = 0.54

σ = √npq = √(96 * 0.46 * 0.54)

σ = √23.8464

σ = 4.88

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Answers

Answer:

22

Step-by-step explanation:

Count the dot

Which number did
DennisMark and labor closest to five
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Answers

Answer:

4,8 is the answer

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Jessica is making cookies. Each batch requires 1/4 cups of sugar. If she has 3 cups of sugar, how many batches can she make total?

Answers

3 divide by 1/4
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Answers

Answer:

go on MATH.WAY. it'll give you the answer and explanation

Step-by-step explanation:

Demetri wakes up at 9:15. It takes him
35 minutes to fold 4 loads of laundry,
35 minutes to bathe the dog, 45 minutes
to bake brownies, and 1 hour to mow the
lawn. After he finishes all of his chores,
he sits down to rest. What time does
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Answers

Answer:

12:10

Step-by-step explanation:

We need to add up the times:

35 mins+ 35 mins + 45 mins+ 60 mins= 35+35+45+60= 175 mins

In hours, that would be 2 hrs, and 55 mins

So; 9:15 + 2 hrs and 55 mins= 12:10

find the rational number halfway between 1/5 and 1/6

Answers

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smaller number. Find the smaller number.

Answers

Answer:

x = 67/4

Step-by-step explanation:

Let x = smaller number and y = bigger number

Then x +y = 64 and y = 3x-3

Plugging y into x+y = 64

x + 3x -3 = 64

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x = 67/4

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53,421 divisible by 3

Answers

Answer:

1

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There are 4 blueberry, 6 raisins, and 2 plain bagels in a bag. Mike randomly selects two bagels without replacing the first bagel. Find the probability that he selects a raisin bagel and then a plain bagel​

Answers

Answer: 1/9

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