expand and simplify (3x-2)2

Answers

Answer 1

Answer:

9x² - 12x + 4

Step-by-step explanation:

(3x - 2)² = (3x - 2)(3x - 2)

Each term in the second factor is multiplied by each term in the first factor , that is

3x(3x - 2) - 2(3x - 2) ← distribute both parenthesis

= 9x² - 6x - 6x + 4 ← collect like terms

= 9x² - 12x + 4


Related Questions

Find the distance between the points P(4,6) and Q(8,9) to the nearest tenth.
Answers:
A. 25
B. 5
C. 7
D. 19.2

Answers

Answer:

B

d(P,Q) = sqrt((xO-xQ)^2 + (yP-yQ)^2) = sqrt(16+9) = 5

A bus company uses a grid to locate bus stops. The bus station is at (3, 4). The point (7, 6) represents the first bus stop. The location of each stop after that is determined using the same relationships as those between the coordinates of the bus station and the first bus stop. A coordinate plane is titled Which point represents the fourth bus stop? A. (11, 8) B. (13, 12) C. (15, 10) D. (19, 12)

Answers

Answer:

D. (19,12)

Step-by-step explanation:

For each bus stop, the X coordinate increases 4, and the Y coordinate increases 2.

Name                x      y      Point

bus station:     3   4     (3,4)

1st bus stop:     7  6     (7,6)

2nd bus stop:    11  8     (11,8)

3rd bus stop:     15  10     (15,10)

4th bus top:     19  12     (19,12)

Answer:

Step-by-step explanation:

19,12

Plz help I need help

Answers

Answer:

7q + 12

Step-by-step explanation:

simply arrange the given expressions into the traditional way of adding numbers like 1 + 1 but vertically like : 1

1 +

which is equivalent to

6q + 1 +

q + 11

______

7q + 12

why? because 6q plus q is equal to 7q and 1 + 11 is equal to 12

good day.

♪Answer : 6q + 1 + q + 11= (6q + 1q) + (1 + 11)= 7q + 12

Explain how you would use mental math to solve this
proportion.

Answers

You can use mental math for this equation because it is fairly easy.

You would use mental math by looking at the equation and thinking, “What is 1/75 times 1/2?” Since you want to find out what w is. Since this is mental math, you would know the answer directly, it is 1/150.

Meaning w = 1/150

Evan swims 321 laps in a month. He swims for 22 days in the month, How
many laps does he swim each day? Write your answer as a mixed number,
14 laps
14 13/22 laps
15 5/22 laps
14 7/22 laps

Answers

Answer:

Step-by-step explanation:

321

What is 2+100009 it for my homework and I need it done today

Answers

Answer:

100011

Step-by-step explanation:

will give brainliest to whoever helps

Answers

x-4y=0 is the answer

Answer:

x=4y

Step-by-step explanation:

Solving for x means you need to get it in the form x=?.

1. let's isolate the variable.

-2x-7y=y-4x

Add 4x to both sides to isolate:

2x-7y=y

Add 7y to both sides to isolate the x term:

2x=8y

Now we divide both sides by 2 (as we are solving for x):

x=4y

Hope this helps!

- A small waffle cone has a height of 6 inches and a diameter of 2.5 inches. Two scoops of
sorbet are placed on the wide end of the cone. The scoops are spheres with a diameter
of 2.5 inches. If all the sorbet melts into the cone, will the cone overflow?

Answers

Answer:

NO

Step-by-step explanation:

find the radius of a circle with an area of 100 in^2

I will give brainliest and 25 points!

Answers

Answer:

The answer is the following:

r≈5.64in

Answer:

5.641

Step-by-step explanation:

If you think about it, the formula for getting the area of a circle is:

[tex]a = \pi r^2[/tex]

So to rearrange and make r the subject, divide both sides of the equation by pi:

[tex]\frac{a}{\pi} = \frac{\pi r^2}{\pi}[/tex]

[tex]\frac{a}{\pi} = r^2[/tex]

Now square root both sides to find r:

[tex]\sqrt{\frac{a}{\pi} } = \sqrt{r^{2} }\\\sqrt{\frac{a}{\pi} } = r[/tex]

Plug the known area value in:

[tex]\sqrt{\frac{100}{\pi} } = r[/tex]

= 5.641

Hope this helps!

the value of 3 1/5 - 1 2/3 is?

please write the answer with sums and explanations

anyone with the correct answer will be given 10-20 points and will be marked as Brainliest ​

note: it's not 31 or 12 it's seperated

Answers

QUESTION :-

The value of 3 1/5 - 1 2/3

ANSWER :-

[tex] = > \: \frac{16}{5} \times \frac{5}{3} \\ [/tex]

Take Lcm by the denominator ( check the pic )

[tex] = > \: ( \frac{16 \times3 }{5 \times 3} ) \: = \: \frac{48}{15} [/tex][tex] = > \: ( \frac{5 \times 5}{3 \times 5} ) \: = \: \frac{25}{15} [/tex]

Now subtract this

[tex] \frac{48}{15} - \frac{25}{15} = \: \frac{23}{15} [/tex]So , now ur ans is :-

[tex] \frac{23}{15} [/tex]

Question:[tex] \rightarrow[/tex] the value of 3 1/5 - 1 2/3 is?

=================================================

Answer:

[tex] \large\rightarrow \tt 1 \frac{8}{15}[/tex]

=================================================

Explanation/Solution:

To solve the problem, let's find the LCM or Latest Common Multiple.

[tex]\tt5 \underline{ | \tt5, \: 3} \\ \tt3 \underline{ \tt |1, \: 3} \\ \: \: \: \: \tt1, \: 1[/tex]

[tex] \rightarrow [/tex] LCM = 5 x 3 = 15

[tex] \\ [/tex]

Since the LCM is already finished let's solve for the both numerator and denominator.

[tex]\rightarrow \: \tt3 \frac{1 \times 3}{5 \times 3} = 3 \frac{3}{15} \\ \\ \rightarrow \: \tt1 \frac{2 \times 5}{3 \times 5} = 1 \frac{10}{15} [/tex]

Since both of the fractions cannot be subtracted from each other, then let's make it to a improper fraction.

[tex] \rightarrow \: \tt3 \frac{3}{15} = 3 \times 15 + 3 = \frac{48}{15} \\ \\ \rightarrow \: \tt1 \frac{10}{15} = 1 \times 15 + 10 = \frac{25}{15} [/tex]

Now its time to subtract.

[tex]\rightarrow \: \tt \frac{48}{15} - \frac{25}{15} = \frac{23}{15} \: \: or \: \: 1 \frac{8}{15} [/tex]

Therefore, the answer is 1 8/15.

=================================================

[tex] \underline{{\sf \: \: \#CarryOnLearning! \: \:}} [/tex]

Simplify 10^9 ÷ 10^7

Answers

Answer:

10^2

Step-by-step explanation:

10^9/10^7 is the same as 10^9*10^-7 if you multiply two same bases you can add there exponents. So, 9+(-7)=2. So, it’s 10^2

Answer:

100

Step-by-step explanation:

Hope it helps

A company that manufactures small canoes has a fixed cost of $24,000. It costs $80 to produce each canoe. The selling price is $160 per canoe. (In solving this exercise, let x represent the number of
canoes produced and sold.)
a. Write the cost function.
C(x) = 150 (Type an expression using x as the variable.)

Answers

Answer:

C(x)=2400 - 80x

Step-by-step explanation:

since 24000 is a fixed cost, lets put it was the y-intercept (the cost when no canoes are produced and sold). next subtract 160 from 80 to get the amount of cost gained for every canoe produced and sold. this value is -80, it is negative since the company is earning a profit for every canoe produced and sold. now you have your equation: C(x) = 2400 - 80x

A shipment contains 9 igneous, 7 sedimentary, and 7 metamorphic rocks. If 7 rocks are selected at random, find the probability that exactly 5 are sedimentary.

Answers

Answer:

75 percent

Step-by-step explanation:

see the thing is

The probability that exactly 5 are sedimentary is from a shipment which contains 9 igneous, 7 sedimentary, and 7 metamorphic rocks is 21/33649.

What is combination?

Combination is the way of arrangement or the collection of items in the particular order. The order of this group of items does not matter in the combination type of arrangement.

A shipment contains 9 igneous, 7 sedimentary, and 7 metamorphic rocks. If 7 rocks are selected at random, find the probability that exactly 5 are sedimentary.

Number of ways to choose 5 sedimentary from 7  sedimentary is,

[tex]^7C_5=\dfrac{7!}{(7-5)!5!}\\^7C_5=\dfrac{7\times6\times5!}{2!5!}\\^7C_5=\dfrac{7\times6}{2\times1}\\^7C_5=21[/tex]

There are total 23 rocks (9+7+7). Number of ways to choose 7 rocks from 23 rocks is,

[tex]^{23}C_5=\dfrac{23!}{(23-5)!5!}\\^{23}C_5=\dfrac{23!}{18!5!}\\^{23}C_5=33649[/tex]


Thus, the probability that exactly 5 are sedimentary is,

[tex]P=\dfrac{21}{33649}[/tex]

Hence, the probability that exactly 5 are sedimentary is from a shipment which contains 9 igneous, 7 sedimentary, and 7 metamorphic rocks is 21/33649.

Learn more about the combination here;

https://brainly.com/question/17139330

#SPJ2

What is the unit rate of km per hour in the example below?

You can walk 7/10 km in 1/4 hours.

Answers

Maybe 28kms in 1 hour

Or 2,8kms because 7/10 is 0,7km

A driver driving a business trip of 240 miles would have reached his destination if he'd been able to drive 12 mph faster than he made the trip. Find the average speed of his trip.

Answers

The average speed of his trip is = 12 mile/ hour

The total distance covered by the driver = 240 miles

The rate at which he traveled = 12 miles per hour

Therefore, the time he used to cover his distance

= 240/12

= 20 hrs

But average speed = distance/ time

= 240/ 20

= 12 miles/ hour

Therefore, the average speed of his trip is = 12 mile/ hour

Learn more here:

https://brainly.com/question/11753352

HELPPP LAST ATTEMPT!!

Answers

Answer:

B' (-1,-5)

Step-by-step explanation:

When it is reflected over the y-axis, the y coordinate stays the same but the x coordinate inverses. In this situation since the x in point B is a positive, the x in point B' will be a negative.

(-1,5)

since it’s being translated over the y axis the only coordinate that’s changing would be the x coordinate. when it’s translated over it would be the opposite to the original point. (positive original point would become a negative point after translated)
hope this helps!

Solve 12x- 6y = 18 for y.

Answers

12x - 6y = 18
Subtract 12x
-6y = -12x + 18
Divide by -6
Y = 2x - 3

The given equation solved for y as y=2x-3.

What is an equation?

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

The given equation is 12x-6y=18.

The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.

The equation can be solved as follows

6(2x-y)=18

⇒ 2x-y=3

⇒ y=2x-3

Therefore, the given equation solved for y as y=2x-3.

To learn more about an equation visit:

https://brainly.com/question/14686792.

#SPJ2

What is the equation of a line that is parallel to the line 2x + 5y = 10 and passes through the point (–5, 1)? Check all that apply. In addition to the Privileges and Immunities Clause, Article IV, Section 2 includes the

Answers

Hello!

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

2x+5y=10

We want to turn this equation into y=mx+b form:

5y=-2x+10

Divide both sides by 5:

y=-2/5x+2

Now, the equation of the line parallel to it:

Remember, parallel lines have the same slope.

So these two lines have the same slope (-2/5)

Now, use Point-Slope form:

y-y1=m(x-x1)

y=1=-2/5(x-(-5)

y-1=-2/5(x+5)

y-1=-2/5x-2

y=-2/5x-2+1

y=-2/5-1

Hence, this is the required solution. I hope you find it helpful!

~SparklingFlower

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

The two numbers are in the ratio of 4:5 and the sum of these numbers in981 find the numbers​

Answers

Answer:

Step-by-step explanation:

let x be the larger number

x + (4/5)x = 981

(9/5)x = 981

x = 981(5/9)

x = 545

(4/5)(545) = 436

What are the coordinates of the x-intercept of the line -3x-5y=12?

Answers

well, x-intercept means for a graphed funciton where the x-axis gets touched/intercepted, Check the picture below, when that occurs, y = 0, so if we want to know what "x" is at that point we can simply set y = 0 and solve for "x".

[tex]-3x-5y=12\implies \stackrel{\textit{setting y = 0}}{-3x-5(0) =12}\implies -3x-0=12 \\\\\\ -3x=12\implies x=\cfrac{12}{-3}\implies x = -4 \\\\[-0.35em] ~\dotfill\\\\ ~\hfill \stackrel{\textit{coordinates}}{(-4~~,~~0)}~\hfill[/tex]

math help please :) thxx

Answers

Answer: 15 inches

Step-by-step explanation:

15 × 1 ÷ 12 = 1.25 ft

1.25 ft = 1.25 × 12 = 15 in

If 14 out of 20 students in a college classroom are make, what percentage of the class is composed of men?

Answers

Answer:

70% of the class is composed of men.

Step-by-step explanation:

14: 20*100 =

(14*100): 20 =

1400: 20 = 70

write an indirect proof that a triangle cannot have 2 right angles​

Answers

The definition of a triangle is that it has three angles and their sum is 180 degrees. Two right angles each measure 90 degrees and their sun is 180 degrees. Therefore, a triangle cannot have two right angles because that would be two angles with a sum of 180 degrees, not three as required by the definition of a triangle.

y’all please help me

Answers

I think it is 2 but I really don’t know

Lord...... Help me god pleas I will be giving u guy's credit.

Answers

Answer:

a. 36

b. 8.5 (8 1/2)

c. 2/5

d. 6

e. 9

f. 8

Step-by-step explanation:

a. 36

b. 8.5 (8 1/2)

c. 2/5

d. 6

e. 9

f. 8

Write the equation of the line with a slope of 10 that goes through the point (8,-2) in slope intercept and point slope form?

Answers

Answer:

y=10x-2

Step-by-step explanation:

which number will reach if we move 6 steps to the right -3

Answers

Answer:

If you meant -3 + 6, then the correct answer is 3.

You should put some extra effort in composing questions with all the required information, like a picture maybe.

Answer:

your answer has to be 3

Step-by-step explanation:

if you were to move to the right in number line you have to add so -3+6 is equals to 3

How would you make this a fraction 1.67+2.82=__/__

Answers

Answer:

449/100

Step-by-step explanation:

1.67 + 2.82 = 4.49

4.49 = 4(0.01) + 49(0.01) = 449(0.01)

Multiplying 449 by 0.01 is the same as dividing 449 by 100

4.49 as fraction = 449/100

-Chetan

How do you round 245.456456 to the nearest hundredth?

Answers

Answer: 245.46

Step-by-step explanation:

Hundredth is the 2nd number after the decimal so in this, it would be 245.456456. I'd assume you already know how to round.

-4/5 divided by 1/3
Please asap

Answers

the straight up answer is -12/5

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