Multiply the following polynomials.



Use either the FOIL Method or the Box Method.



(3x + 2) (5x - 9)



1) Solve the problem and provide the answer.



2) What method did you use and how did you use it to solve the problem (Your steps to solve).

Answers

Answer 1

Answer:

Step-by-step explanation:

1. (3x + 2)(5x - 9)

15x^2 - 27x + 10x - 18

15x^2 - 17x - 18

2. I used the F.O.I.L. method.


Related Questions

Taras garden is 3/8 are red flowers and 3/6 are yellow flowers which is greater

Answers

Answer: 3/6

Step-by-step explanation:

If you convert them into decimals you get

3/8 = 0.375

3/6 = 0.5

Answer: 3/6 is greater

Step-by-step explanation:



Tell me the solution
[tex]4 \times 100 \\ \div 7[/tex]

Answers

57.1428 is the answer

Step-by-step explanation:

4×100=400

400÷7=57.14......

hope it helps!

have a great day :)

Find the distance between points (a, b) and (-a, -b).

Answers

Answer:

you have to show which points lol

Jakob used the table shown to find a ratio which is equivalent to 5:9.

a multiplication table here

Which ratio is equivalent to 5:9?
10:36
10:27
20:27
20:36

Answers

Answer:

20:36

Step-by-step explanation:

5 x 4 = 20

9 x 4 = 36

Final answer: 20:36

The area of the triangle is 119 square feet. Find the base and the height.
(x + 3) ft.
(x + 6) ft.

Answers

Answer:

14 and 17

Step-by-step explanation:

(X+3)(x+6)0.5=119

x^2+9x+18=238

x=11

11+3=14

11+6=17

Peter is folding brochures for his Dad's new company. After 1 hour, he has 330 brochures left to fold. After 4 hours, he only has 90 brochures left to fold.

(From the above statements you should be able to create two ordered pairs. I will create one for you..... (1,330). Now you create the other ordered pair and continue with the problem.)

Write an equation in slope-intercept form, y=mx+b, that represents the number of brochures Peter has left to fold, , after a given number of hours, x.

Answers

Answer:

y = -80x + 410

Step-by-step explanation:

(1,330) is the first point, the other point is (4,90)

m = y2 - y1/x2 - x1

m = 90 - 330/4 - 1

m = -240/3

m = -80/1

m = -80

y - y1 = m(x - x1)

y - 330 = -80(x - 1)

y - 330 = -80x + 80

y = -80x + 80 + 330

y = -80x + 410

A bookstore charges a standard rate for paperback or hardback books. The cost of a paperback book is 4 dollars less than the cost of a hardback book.​ Recently, one day of sales totaled ​$1065.10. That day the bookstore sold 51 paperback books and 47 hardback books. Write a system representing this situation. Use the graph to estimate the solution of the system. What does the solution mean in this​ situation? How much does each type of book​ cost? Use substitution to verify your solution.

Answers

Answer: for one hard cover book it is about $17 and paperback is $13

Step-by-step explanation:

I need help I don’t get the question

Answers

They are equal to each other
9x - 7 = 7x - 3
2x = 4, x = 2
Solution: x = 2

Answer:

2

Step-by-step explanation:

9x-7 = 7x-3

9x-7x = 2x

2x -7 = -3

   +7   +7

2x=4

x=2

NEED DONE BY 8 PLEASE HELP!!

Answers

Answer:

a. 8 y/s; divide 40(distance) by 5(time)

b. 1/8 2/16 3/24 4/32 5/40 6/48 7/56; multiply speed and time ex. 8×1=8; 8×2=16; 8×3=24 and so on

c. 80 yards; multiply time and distance 8×10

Please answer this question, they said the answer has to be in fraction form or hole number

Answers

Answer:

1.6

Step-by-step explanation:

Answer:

1 1/4

Step-by-step explanation:

1 1/4 = 1.25

1.25x2=2.50

2.50 divided by 2=1.25

Find the slope of a line that passes through (4, 1) and (6, 5).
plssss show your work thx plssss

Answers

Answer:

Slope = 2

Step-by-step explanation:

Answer:

is this what youre looking for ?

Step-by-step explanation:

Input Data :

Point A  ( x A , y A )  = (3, 2)

Point B  ( x B , y B )  = (7, 10)  

Objective : Find the slope of a line that passes through points A and B.

Formula : Slope  m =  y B − y A /x B − x A

Solution: Slope m = 10 − 2 /7 − 3  = 8 4

m = 2

To find the quotient 3/4 / 1/8

Answers

Answer:

6 i think

Step-by-step explanation:

Answer:

24/4 or 6

Step-by-step explanation:

3/4 / 1/8

flip the 1/8 and the sign

3/4x8/1

3x8=24

4x1=4

In ΔNOP, \overline{NP}
NP
is extended through point P to point Q, \text{m}\angle NOP = (3x+8)^{\circ}m∠NOP=(3x+8)

, \text{m}\angle PNO = (2x+9)^{\circ}m∠PNO=(2x+9)

, and \text{m}\angle OPQ = (8x-16)^{\circ}m∠OPQ=(8x−16)

. What is the value of x?x?

Answers

Answer:

x=11

Step-by-step explanation:

Using the Exterior Angle Theorem. . .

(3x+8) + (2x+9) = (8x-16)

Solve to get x = 11

HELP HELP HELP!!!!! Please help!

Answers

Answer:

Regular peanut butter - .23

Family Size Peanut Butter - .15

Answer:

#1: 0.23

#2: 0.15

Step-by-step explanation:

1.38/ 6= 0.23

6*0.23= 1.38

7.80/ 52= 0.15

0.15*52= 7.80

7. Triangles CDE and RST are similar triangles. What is
the length of side CD in triangle CDE?
R
40 ft.
32 ft.
20 ft.
T
S

Answers

Answer:

CD = 25 ft

Step-by-step explanation:

[tex] \triangle CDE \sim \triangle RST[/tex]

[tex]\therefore \frac{CD}{20}=\frac{40}{32}[/tex]

(Corresponding sides of similar triangles are in proportion)

[tex]\therefore \frac{CD}{20}=\frac{5}{4}[/tex]

[tex]\therefore CD = \frac{5}{\cancel 4}\times \cancel {20} \:\:\blue{\bold{5}} [/tex]

[tex]\therefore CD = 5\times 5[/tex]

[tex]\therefore CD = 25\: ft[/tex]

Answer:

CD = 25 ft

Step-by-step explanation:

Since the triangles are similar then the ratios of corresponding sides are equal, that is

[tex]\frac{CD}{RS}[/tex] = [tex]\frac{CE}{RT}[/tex] , substitute values

[tex]\frac{CD}{20}[/tex] = [tex]\frac{40}{32}[/tex]  ( cross- multiply )

32CD = 800 ( divide both sides by 32 )

CD = 25

5(x - 1) and 5x - 1
is it equivalent ​

Answers

Answer:

no

Step-by-step explanation:

5(x - 1) = 5x - 5

5x - 1 = 5x - 1

No, it is not equivalent

The required, 5(x - 1) and 5x - 1 are not equivalent expressions.

Let's expand 5(x - 1):

5(x - 1) = 5 * x + 5 * (-1) = 5x - 5

On the other hand, 5x - 1 is already in its simplified form.

As you can see, the expressions 5(x - 1) and 5x - 1 have different forms. The first expression involves distributing the 5 to both terms inside the parentheses, while the second expression is already simplified and cannot be further combined.

For example, if we substitute x = 2 into both expressions, we get:

5(2 - 1) = 5 * 1 = 5

5 * 2 - 1 = 10 - 1 = 9

Since 5 and 9 are not equal, it confirms that the two expressions are not equivalent.

Learn more about equivalent expression here:

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is it possible to draw a triangle with numbers 5,6,11

Answers

Answer:

No

Step-by-step explanation:

Let's use the Pythagorean Theorem. For those of you that don't know, it is [tex]a^2 + b^2 = c^2\\[/tex].  

11 is the bigger side in this case, so our formula would go like this: [tex]5^2 + 6^2 = 11^2\\[/tex].

We now calculate to see if this is true.

25 + 36 [tex]\neq[/tex] 121

Therefore, the answer is wrong.

20 points. A triangle has an exterior angle with a measure of 120°. Can you determine the measures of the interior angles?

The answer is no, I just need an explanation why, thank you :)

Answers

Answer:

Step-by-step explanation:

it is no because there is only 1 angel that u have

How many cups are in 16 quarts? 1 quart = 4 cups

Answers

Answer:

64

Step-by-step explanation:

4 cups * 16 quarts = 64 cups

The answer is 64. Set it up like this
1 quart =4 cups
16 quarts-=?
Multiply 16 times 4 which is 64

Write the fraction 9/12 as a percent

Answers

9/12 = 75%

if any questions just ask.

Answer:

75%

Step-by-step explanation:

9/12 in percent = 9 ÷ 2 × 100%=0.75 × 100= 75%.

l hope it helps you ❤❤

Solve the fraction problem and reduce the answer to simplest form:
1/5 + 3/4 = ??
7/9 - 3/5= ??
6/8 - 2/7 = ??
5/6 + 5/10 = ??
7/8 - 2/3 = ??
8/10 + 5/6 = ??
9/11 - 2/3 = ??

Answers

Answer:

1. 19/20

2. 8/45

3. 13/28

4. 4/3

5. 5/24

6. 49/30

7. 5/33

Fractions are integers that have both a numerator and a denominator. Fraction comes in the form: [tex]\frac{x}{y}[/tex]

where x = numerator and y = denominator.

a) 1/5 + 3/4

We find the Lowest common denominator (5, 4) = 20

Hence: 4 + (5 x 3) / 20

= 4 + 15 / 20

= 19/20

b) 7/9 - 3/5

We find the Lowest common denominator (5, 9) = 45

Hence: (7 x 5)  + (9 x 3) / 45

= 35 - 27 / 45

= 8/45

c) 6/8 - 2/7

We find the Lowest common denominator (7, 8) = 56

Hence: (6 x 7) - (2 x 8) / 56

= 42 - 16 /56

= 26/56

= 13/28

d) 5/6 + 5/10

We find the Lowest common denominator (6, 10) = 30

Hence: (5 x 5) + (5 x 3) / 30

= 25 + 15 / 30

= 40/30

= 4/3

= 1 1/3

e) 7/8 - 2/3

We find the Lowest common denominator (3, 8) = 24

Hence: (7 x 3) - (2 x 8) / 24

= 21 - 16 / 24

= 5/24

f) 8/10 + 5/6

We find the Lowest common denominator (6, 10) = 30

Hence: (8 x 3) + (5 x 5)

= 24 + 25 / 30

= 49/30

= 1 19/30

g) 9/11 - 2/3

We find the Lowest common denominator (3, 11) = 33

Hence: (9 x 3) - (11 x 2) / 33

= 27 - 22 / 33

= 5/33

To learn more, visit the link below:

https://brainly.com/question/2227210


7. By selling a bicycle for * 2,850, a shopkeeper gains 14%. If the profit is reduced to 8%, then the selling price
will be
(a) 2,600
(b) 2,700
(c) 2,800
(d) 3,000
with steps

Answers

Correct option :[tex]= \color{plum}\bold{(b) \: 2,700}[/tex]Steps to derive answer :

Selling price of a bicycle = 2850

Profit percentage = 14%

We know that :

[tex]\color{plum}\tt{Cost \: \: price = \frac{Selling \: \: price \: \times \: 100}{100 \: \: + \: \: profit \: \%} }[/tex]

Then, the cost price of this bicycle :

[tex] = \tt \frac{2850 \times 100}{100 + 14} [/tex]

[tex] = \tt \frac{285000}{114} [/tex]

[tex] =\color{plum} \tt2500[/tex]

Thus, the cost price of this bicycle = 2500

In another scenario :

Profit percentage = 8%

Cost price of the bicycle = 2500

Then, Selling price will be equal to :

Let x be the selling price of the bicycle.

[tex] = \tt2500 = \frac{\: x \: \times 100}{100 + 8} [/tex]

[tex] = \tt2500 = \frac{100x}{108} [/tex]

[tex] =\tt 100x = 2500 \times 108[/tex]

[tex] = \tt100x = 270000[/tex]

[tex] =\tt x = \frac{270000}{100} [/tex]

[tex] =\color{plum}\tt x = 2700[/tex]

Therefore, the selling price with a profit of 8% will be = 2700

Simplify the expression by combining like terms.

3.6x+5.9−2.2−1.7x

Enter your answer as an expression, like this: 42x+53

Answers

Answer:
1.9x+3.7
Explanation:
3.6x + (-1.7x)= 1.9x
5.9 - 2.2= 3.7

A bag contains five red marbles and six blue marbles. Another bag contains five green marbles and five yellow marbles. You randomly pick one marble from each bag. One marble is blue and one marble is yellow.

Answers

there is a 50/50 chance the next time he picks up a marble out of the bag it could be green, blue or red

Write x^2-8x+22 in the form (x-a)^2 +b

Answers

Answer:

[tex] {(x - 4)}^{2} + 6[/tex]

Step-by-step explanation:

[tex] {x}^{2} - 8x + 22 \\ \\ = {x}^{2} - 8x + 16 + 6 \\ \\ = {x}^{2} - 8x + {4}^{2} + 6 \\ \\ = {(x - 4)}^{2} + 6[/tex]

The completed square form of  x² - 8x + 22 = 0 is (x - 4)² = - 6.

What is a quadratic equaton?

A quadratic equation is an algebraic expression in the form of variables and constants.

A quadratic equation has two roots as its degree is two.

Given, a quadratic equation x² - 8x + 22 = 0.

We know (a - b)² = a² - 2ab + b².

∴ x² - 8x + 22 = 0 is

(x)² -2(x)(4) + 4² + 6 = 0.

(x - 4)² = - 6.

learn more about quadrilaterals here :

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John's bank account had $1,320 at the end of November. In December, he bought $645 worth of
groceries and spent $225 on his mom's birthday present. Luckily, he earned $350 mowing lawns and $50
for good grades. How much money does John have at the end of December?

Answers

Answer:

850 but im not sure lol

Step-by-step explanation:

645 + 225 = 870

1,320 - 870 = 450

450 + 350 = 800

800 + 50 = 850

Bring 8/(a-x) to a denominator of x-a

Answers

Answer:

[tex]-\frac{8}{x-a}[/tex]

Step-by-step explanation:

[tex]\frac{8}{a-x}[/tex]

we can take common factor of -1 in the denominator

[tex]\frac{8}{-(-a+x)}=\frac{8}{-(x-a)}[/tex]

and now multiply and divide by -1

[tex]\frac{8}{-(x-a)}\cdot \frac{-1}{-1}=\frac{-8}{x-a}=-\frac{8}{x-a}[/tex]

What is the solution to the inequality 5.25 - b > 6.5​

Answers

Answer:

The answer is no.2

Step-by-step explanation:

Marking brainless (how ever u spell this)!

Answers

Answer:

brainliest*

Step-by-step explanation:

c

Fatima used a coupon to pay for a pair of jeans. The original price of the jeans was $25. The coupon reduced the price to $16. Which equation can you use to help you find the value of the coupon? *

Answers

Answer:

16+c=25

Step-by-step explanation:

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