Factor2.x2 + 13x – 7

Answer:

[tex]2 {x}^{3} + 11{x}^{2} - 25x - 28[/tex]

Step-by-step explanation:

Using foil method, Multiply the first term

[tex]2 {x}^{2} \times x = 2 {x}^{3} [/tex]

Next, Multiply the Outer term in each parenthesis. (2x^2 and 7

[tex] 2 {x}^{2} \times 7 = 14 {x}^{2} [/tex]

[tex] 2 {x}^{2} \times 7 = 14 {x}^{2} \: \: \: 3x \times - x = - 3x[/tex]

Then, Multiply the Inner Terms (-3x,-4,7) in each parenthesis

[tex] - 3x \times 7 = - 21x[/tex]

[tex] - 4 \times x = - 4x[/tex]

Then multiply the last term (-4 and 7).

[tex] - 4 \times 7 = - 28[/tex]

Combine it you have

[tex]2 {x}^{3} + 14 {x}^{2} - 3 {x}^{2} - 21x - 4x - 28[/tex]

which simplify to

[tex]2 {x}^{3} + 11 {x}^{2} - 25x - 28[/tex]

Answer:

-8 -8

Step-by-step explanation:

Because it is the most reasonable

Answer:

24n = 312 is the correct equation

Answer:

The top one

Step-by-step explanation:

y+0.4=5.34

y=5.34 - 0.4

y=4.94

Answer:

C. 1

Step-by-step explanation:

C. 1

Answer:

The anwer is below.

Step-by-step explanation:

To calculate mean a.k.a average of something is when you add all of the numbers in the set and then multiply by the number of numbers there were.

an example : 4, 5,6,7 = 4+ 5 + 6 + 7 + 3 = 25 divided by 5 ( the number of numbers there were ) which is 5 so the mean is 5

To calculate the median you have to organize the set of numbers from least to greatest choose the middle number and that's the median, If there is an even number of numbers in the set then you add the two middle numbers and divide it by 2.  

an example : 5,7, 8, 4 =  4, 5, 7 , 8 = the middle numbers = 5 + 7 = 12 divided by 2 = 6

To calculate the mode you have to see which numbers comes more often in the set of numbers, If there are two different numbers that come often even if one is higher include them in the mode.

An example - 5,6,6,6,6,7,7,7. The mode in this is 6 but 7 comes often to so if your teacher tells you to include more than one mode in these kinds of situation you include 7 or in general you don't have to

To calculate the range you choose the greatest and the lowest numbers and substract the highest to the lowest number in the set.

An example  5, 6, 7 , 9 , 8 = 9 ( the highest number in this set) - ( substraction) 5 ( the lowest number in this set) and 9 - 5 = 4 so the range is 4

Answer:

9 miles

Step-by-step explanation:

From Pythagoras :

Opposite^2 = Hypotenus^2 - Adjacent^2

The direct route = 15 miles = hypotenus

x² = 15^2 - 12^2

x² = 225 - 144

x² = 81

x =. Sqrt(81)

x = 9

Hence, you must travel 9 miles north

Answer:

9 miles :)

Step-by-step explanation:

a^2 + 12^2 = 15^2

a^2 + 144 = 225

a^2 = 81

a = 9

Answer:

8.5 is correct answer i read a diffrent question did a diffrent problem its 8 and a half not 0.85 that would be a very small e-reader

Answer:

b = 20, c = 160

Step-by-step explanation:

b and 20 degrees are vertical angles, so they are equal.

b (20 degrees) and c are on a line together, so they add up to 180. 180 - 20 = 160 degrees

Answer: 12

Step-by-step explanation:

220-40=180

180/15=12

Answer:

11 months

Step-by-step explanation:

220 -40=180

Since you have to pay $40 to join you have to add $15 to that $40 for the monthly fee.

220-40-15=156

^ This equals one month worth of the membership.

220-40-15-15-15-15-15-15-15-15-15-15-15=0

So add up all the 15s and you have the number of months Ty ´Lil can afford.

I hope this makes sense.

Answer:

a. Total cost of the principal = $217,411.20

b. Interest for the mortgage loan = $104,911.20

Step-by-step explanation:

Total cost of the principal = Monthly payment * Number of years * Number of months in a year = $603.92 * 30 * 12 = $217,411.20

Total cost of the principal of the loan includes the mortgage loan amount and the interest for the mortgage loan. Therefore, the interest for the mortgage loan can be calculated as follows:

Interest for the mortgage loan = Total cost of the principal - Mortgage loan amount = $217,411.20 - $112,500 = $104,911.20

Answer: 2025

Step-by-step explanation: first you multiply 30x15x9= 4050 but you keep going and then divide 4050/2= 2025 and that would be your answer

                                                      A=2025

The volume of the right triangular prism in cubic fee should be considered as the 2025.

here first we have to multiply the 30, 15 and 9 with each other so it comes 4050

Now we have to half the 4050 so it comes 2025

hence, The volume of the right triangular prism in cubic fee should be considered as the 2025.

Learn more about volume here: https://brainly.com/question/24422556

Answer:4-7x i believe

Step-by-step explanation:

Answer:

Which number line represents the solution set for inequality?

c.

A function representing the line that includes the points (3,3) and (-6,15) is 3y=-4x+21.

The given coordinate points are (3,3) and (-6,15).

The slope intercept form of a straight line is one of the most common forms used to represent the equation of a line. The slope intercept formula can be used to find the equation of a line when given the slope of the straight line and the y-intercept.

The standard form of the slope intercept form is y=mx+c.

Now, slope=(y2-y1)/(x2-x1)

= (15-3)/(-6-3)

= 12/(-9)

= -4/3

Substitute m=-4/3 and (x, y)=(3, 3) in y=mx+c, we get

3=-4/3 (3) +c

c=7

Put, m=-4/3 and c=7 in y=mx+c, we get

y=-4/3 x+7

3y=-4x+21

Therefore, a function representing the line that includes the points (3,3) and (-6,15) is 3y=-4x+21.

To learn more about the slope intercept form visit:

brainly.com/question/9682526.

#SPJ5

Answer:

50.0

Step-by-step explanation:

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Answer:

50.0

Step-by-step explanation:

Answer:

Step-by-step explanation:

A diameter is two radiuses long, so the cylinder's radius is:

R = 4 in ÷ 2 = 2 in

The volume of cylinder is: V = πR²×H

Therefore:

               12π = π×2²×H

               12 = 4H

                H = 3 in

Answer:

500

105

Step-by-step explanation:

This question would be solved using a simultaneous equation

let

a = number of adults who bought the ticket

b = number of students who bought the ticket

c = number of senior citizens who bought the ticket

a + b + c = 670 eqn 1

10a + 4b + 3c = 5615 -- eqn 2

If 65 senior citizen bought the ticket, substitute for c in equation 1 and 2

a + b + 65 = 670

a + b = 670 - 65

a + b = 605 eqn 3

10a + 4b + 3(65) = 5615

10a +4b = 5420 eqn 4

multiply equation 3 by 10 to derive equation 5. Subtract eqn 4 from eqn 5

10a + 10b = 6050 eqn 5

          -

10a + 4b = 5420 eqn 4

= 6b = 630

b = 105

Students who bought the ticket are 105

Substitute for b in eqn 3

a + 105 = 605

a = 500

Adults who bought the ticket are 500

Answer:

[tex]E =[/tex] [tex](-3,3)[/tex]

Step-by-step explanation:

The question has missing parameters.

The (missing) given coordinates are:

[tex]D(x_1,y_1) = (-2,-4)[/tex]

[tex]F(x_3,y_3) = (0,7)[/tex]

[tex]G(x_3,y_4) = (1,0)[/tex]

Required

Find the coordinates of [tex]E(x_2,y_2)[/tex]

To do this, we make use of mid-point formula which is:

[tex]M = (\frac{x_1+x_3}{2},\frac{y_1+y_3}{2})= (\frac{x_2+x_4}{2},\frac{y_2+y_4}{2})[/tex]

This gives:

[tex](\frac{-2+0}{2},\frac{-4+7}{2})= (\frac{x_2+1}{2},\frac{y_2+0}{2})[/tex]

[tex](\frac{-2}{2},\frac{3}{2})= (\frac{x_2+1}{2},\frac{y_2+0}{2})[/tex]

Multiply through by 2

[tex]2 * (\frac{-2}{2},\frac{3}{2})= (\frac{x_2+1}{2},\frac{y_2+0}{2})*2[/tex]

[tex](-2,3) = (x_2+1,y_2+0)[/tex]

[tex](-2,3) = (x_2+1,y_2)[/tex]

By comparison:

[tex]-2 = x_2 + 1[/tex] and [tex]3= y_2[/tex]

So, we have:

[tex]-2-1=x_2[/tex] and [tex]3= y_2[/tex]

[tex]-3 = x_2[/tex] and [tex]3 = y_2[/tex]

This gives:

[tex]x_2 = -3[/tex] and [tex]y_2 =3[/tex]

Hence, the 4th coordinate is: [tex](-3,3)[/tex]

Answer:

Yes

a triangle is any three sided figure, so yes he did

Step-by-step explanation:

Answer:

[tex] \dfrac{-7600}{3} [/tex]

Step-by-step explanation:

The plane is descending, so the change in height is a negative change.

rate of descent = (change in height)/time

rate of descent = (new height - old height)/time

rate of descent = (7400 ft - 15000 ft)/(3 min)

rate of descent = (-7600 ft)/(3 min)

Answer: [tex] \dfrac{-7600}{3} [/tex]

Step-by-step explanation:

(n-m) out of n

not sure if this is correct or something....

Answer:

1 - m/n

n-m/m

Step-by-step explanation:

Two events are said to be complementary when one event occurs if and only if the other does not. The probabilities of two complimentary events add up to 1.

Answer:

All the none-zero digits given should be included when written in scientific notation. But also any trailing zeros written after non-zero digits should also be included.

For example in 0.00900 the 900 is significant because the person who included the trailing zeros is saying look I measured this far and these zeros are significant.

Step-by-step explanation:

[tex] \sqrt{7} = {7}^{ \frac{1}{2} } = \sqrt{7} [/tex]

Answer:

11 3/5

Step-by-step explanation:

23 2/5-11 4/5

22 7/5-11 4/5

11 3/5

Answer:i think the first one is false

Step-by-step explanation: