Find the product:

(i) (5 – 2x) (3 + x)​

Answers

Answer 1
Solution:

[tex] \: [/tex]

[tex] \large\red{ \longrightarrow} \pmb{ \sf{(5 – 2x) (3 + x)}}[/tex]

[tex] \: [/tex]

[tex] \mapsto \: \: \: \sf{5(3 + x) – 2x(3 + x)}[/tex]

[tex] \: [/tex]

[tex] \mapsto \: \: \: \sf{(5 × 3) + (5 × x) – (2x × 3) – (2x × x)}[/tex]

[tex] \: [/tex]

[tex]\leadsto \: \: \: \sf{ 15 + 5x – 6x – 2x ^{2} }[/tex]

[tex] \: [/tex]

hope it helps!! :)

Answer 2
(5 - 2x)(3 + x)
5(3 + x) -2x(3 + x)
15 + 5x -6x - 2(x^2)
-2(x^2) - x + 15

Related Questions

Write as a power of 3
[tex] \frac{ {3}^{n} }{ {9}^{n - 1} } [/tex]
Please help, many thanks

Answers

Answer:

3⁻ⁿ⁺²

Step-by-step explanation:

we need to make both bases the same

9 can be written as 3²

[tex] \frac{3 {}^{n} }{3 {}^{2(n - 1)} } [/tex]

multiply 2(n-1) = 2n - 2

[tex] \frac{3 {}^{n} }{3 {}^{2n - 2} } [/tex]

I'll rewrite as 3 ÷ 3²ⁿ⁻²

subtract the exponents when dividing numbers with the same base

n - (2n-2) or n - 1(2n-2) imagine the 1 is there

remember that the whole of (2n-2) is being multiplied by -1, so expanding

n - 2n + 2 = -n + 2

final answer: 3⁻ⁿ⁺²

A balloon is floating above a lake and a sunken canoe is below the surface of the lake.

The balloon’s vertical position is 12 meters and the canoe’s is -4.8 meters.

The equation 12 + d = -4.8 represents this situation.

What does the variable d represent? (This is NOT a number
The variable d represents the [answer1] in this situation.

Answers

Answer:

D is how long until the canoe

Step-by-step explanation: I have no idea i just guessed

Common Core Assessment
9. Choose Yes or No to tell if the fraction
will make each equation true.
+
Yes O No
Yes No
Yes N
3+)-1 o Yes No
10. Choose Yes or No to tell if the fraction
will make each equation true

Answers

Answer:

Yes, No, Yes, No.

Step-by-step explanation:

1/3 + 1/3 = 2/3

1/6 + 1/6 = 2/6, or 1/3, not 2/3.

2/3 + 6/9 = 4/3

2/5 + 2/3 = 16/15, not 14/15.

Debbie needs 6 cups of cherry soda. She has 20 ounces. How many more fluid ounces of cherry soda
does she need?


Answers

Answer:

48 fluid ounces.

Step-by-step explanation:

8 fluid ounces = 1 cup

So, we need to multiply 8 by 6.

8 x 6 = 48...That's your answer!

Answer:

she can only use 2 cups she needs 48 ounces

Step-by-step explanation:

there are 8 ounces in a cup she can only make 2 cups out of 20 ounces she needs a total of 48 ounces.

The slope of line m is -8 which of the following are perpendicular to line m ? Select all that apply.

2x-16y=24
40x+5y=12
-5x-40y=10
x-8y=5
16x-2y=32

Answers

Answer:

2x-16y=24

x-8y=5

Step-by-step explanation:

umm what do the letters m and b mean in y=mx+b ?

Answers

m = slope of the line

b = y-intercept of the line

b = y-intercept of line

m = slope of line

Hope this helps! Have a nice day! God bless and stay safe.

A circular swimming pool has a diameter of 15 feet. Jada wants to put a protective material around the rim of the pool.

Approximately how many feet of protective material does Jada need?

Use 3.14 for π.

Enter your answer as a decimal in the box.

feet

Answers

Answer:

47,1

Step-by-step explanation:

it is because when you multiply 3,14 by 15 you get your answer as 47,1 and it is a decimal

Using Multiplication, Jada need 47.1 feet of protective material around the rim of the pool.

What is multiplication?

Multiplication is the "method of finding product of two or more numbers".

According to the question,

A circular swimming pool has a diameter of 15 feet.

In order to find how many feet of protective material jada need:

Formula for area of circle = πr²  where 'r' is the radius of the circle.

Diameter = r²

= (3.14) (15)   [π = .14]

= 47.1

Hence, Jada need 47.1 feet of protective material around the rim of the pool.

Learn more about Circle here

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Select the correct answer. Which equation is true for the value a = 7? A. a + 2(a – 3) = 15 B. 4a – 4(14 – a) = 24 C. 2a + 47 = 105 D. 3a + 2(a – 3) = 34 E. 4a – 2a = 18

100 POINTS!!!!!!

Answers

Answer:

[A]. a + 2(a – 3) = 15

Step-by-step explanation:

To See which equation is true for the value a = 7 Solve all of it.

Start with [A]

[A] a + 2(a – 3) = 15

7+2(7-3)=15

Hence,this is True.

Next ,[B]

[B] 4a-4(14-a)=24

4(7)-4(24-7)= -40

Hence, this is False.

Then, we have [C]

[C] 2a + 47 = 105

2(7) + 47 =61

Hence, this is False.

Now, We have [D]

[D] 3a+2(a-3)=34

3(7)+2(7-3)=29
Hence, this is False.

Lastly, We have [E]

[E] 4a-2a=18

4(7)-2(7)=14

Hence, this is False.

Thus, Correct Answer = [A].a + 2(a – 3) = 15

[RevyBreeze]

Answer:

A. a + 2(a – 3) = 15

Step-by-step explanation:

The first option.

brown rice costs 2$ per pound, and beans cost $1.60 per pound. Rudra has $10 to spend on these items. The amount of brown rice,r, is related to the amount of beans,b,rudra can buy. Rudra wrote the equation r=10-1.60b/2. what is the dependent variable? how do you know?

Answers

Answer:$13 dollars and 60 cent

Step-by-step explanation:

Add 10+1+2= 13 the cent stay the same

find the next term in the sequence: 0,1,2,5,12,29,70.​

Answers

Answer:

0, 1, 2, 5, 12, 29, 70, 169, 408, 985, 2378, 5741, 13860,…

Step-by-step explanation:

I hope this helps!

Answer:

169, 408, 985, 2378, 5741, 13860...

Hope this helps you.

The circumference of a hula hoop is 86pi cm.
What is the radius of the hula hoop?

Answers

Answer: 86pi

Step-by-step explanation:

Answer:

43 cm

Step-by-step explanation:

Hope this helps!

15 points!

What is 31.55 rounded to two decimal places?

Answers

Answer:

What do you mean? nearest hundredth or tenth???????

Step-by-step explanation:

Answer:

31.55

Step-by-step explanation:

==> 31.55

==> Already in 2 decimal places

What is the value of x in the figure?

Enter your answer in the box.

Answers

Answer:

the answer is 29° because you have to subtract 61 from 90 and you will  get 29.

x = 29°

Answer:

The answer is 29°

Step-by-step explanation:

We are given a figure,

Here, we know that on straight line the sum of all angles is equal to 180°

So,

x + 90° + 61° = 180°

x + 151° = 180°

x = 151° – 151° = 180° – 151°

x = 29°

Thus, The value of x is 29°

For Verification;

x + 90° + 61° = 180°

29° + 90° + 61° = 180°

180° = 180°

L.H.S = R.H.S

Hence Verified!

-TheUnknownScientist 72


A The length of a rectangle is 4 m more
than the width. The area of the rectangle
is 45 m2. Find the length and width.

Answers

Given :

The length of a rectangle is 4m more than the width.The area of the rectangle is 45m²

To Find :

The length and width of the rectangle.

Solution :

We know that,

[tex]\qquad { \pmb{ \bf{Length \times Width = Area_{(rectangle)}}}}\:[/tex]

So,

Let's assume the length of the rectangle as x and the width will be (x – 4).

Now, Substituting the given values in the formula :

[tex]\qquad \sf \: { \dashrightarrow x \times (x - 4) = 45 }[/tex]

[tex]\qquad \sf \: { \dashrightarrow {x}^{2} - 4x = 45 }[/tex]

[tex]\qquad \sf \: { \dashrightarrow {x}^{2} - 4x - 45 = 0 }[/tex]

[tex]\qquad \sf \: { \dashrightarrow {x}^{2} - 9x+ 5 x - 45 = 0 }[/tex]

[tex]\qquad \sf \: { \dashrightarrow x(x - 9) + 5(x - 9) = 0 }[/tex]

[tex]\qquad \sf \: { \dashrightarrow (x - 9) (x + 5) = 0 }[/tex]

[tex]\qquad \sf \: { \dashrightarrow x = 9, \: \: x = - 5}[/tex]

Since, The length can't be negative, so the length will be 9 which is positive.

[tex]\qquad { \pmb{ \bf{ Length _{(rectangle)} = 9\:m}}}\:[/tex]

[tex]\qquad { \pmb{ \bf{ Width _{(rectangle)} = 9 - 4=5\: m}}}\:[/tex]

━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━

The length is 9m and the width is 5m.

What is a Rectangle?

This is defined as is a quadrilateral with four right angles and the area is calculated as Length × width.

Let's assume length is x and width is (x-4).

We have x × (x-4) = 45m²

x² - 4x = 45

x² - 4x - 45 = 0

x² - 9x + 5x -45 = 0

x(x-9) +5 (x-9)

(x+5)(x-9) = 0

x = -5 or x = 9

x is therefore 9m and the width is (9-4) = 5m

Read more about Rectangle here https://brainly.com/question/2607596


Select the correct answer.

Which expression is equivalent to the given expression?

(4xy^3/x^2)^2


A. 16y^6
B. 16y^5/x^2
C. 16x^2y^5
D. 16y^6/x^2

Answers

Answer:

Hey! Here's it going?

The correct answer is D. 16y^6/×^2

The equivalent expression is 16y⁶/x².

What is an expression?

In mathematics, expression is the combining of variables with the application of operations and prescribed rules. It could take the shape of an equation, some numbers, etc.

We have the expression,

{4xy³/x²}²

Simplifying the expression,

{4xy³/x²}²

= {4y³/x}²

= 16y⁶/x².

Therefore, 16y⁶/x² is the required equivalent expression.

To learn more about the expression;

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Is 12/15 closest to 0, 1/2 or 1

Answers

Answer:

1

Step-by-step explanation:

[tex]\frac{1}{2}[/tex] = [tex]\frac{7.5}{15}[/tex]

1 = [tex]\frac{15}{15}[/tex]

which is 12 closer to?

7.5 or 15 ?

15 of course

Answer:

1

Step-by-step explanation:

12/15 = 0.8

0=0.0

1/2=0.5

1=1.0

0<0.5<0.8<1

So now it is in between 0.5 and 0.8 and it is closer to 1 as it is only 0.2 away, 0.5 is 0.3 away.

Write 1620 as a product of its prime factors.

Answers

1620 = 2².3⁴.5

ok done. Thank to me :>

Answer:

Prime Factor of 1620 is...

[tex]\begin{gathered} \: \end{gathered}[/tex]

[tex]\sf2 \times 2 \times 3 \times 3 \times 3 \times 3 \times 5[/tex]

[tex]\begin{gathered} \: \end{gathered}[/tex]

Step-by-step explanation:

correct me if I'm wrong

#LetsStudy

[tex]\begin{gathered} \: \end{gathered}[/tex]

[tex]\tt{\large{\underline{ ANSWERED\: BY:}}}[/tex][tex]\tt\purple{⟶ MariaGabriellaSofia}[/tex]

Which of the following number sentences illustrates the associative property of multiplication?
8x9 = 9x8
2 x (1 x 9) = (2 x 1) (2 x 9)
(3 x 8) x 6 = 3 c (8 x 6)
1x 15 = 15

Answers

Answer:  Choice C

(3 x 8) x 6 = 3 x (8 x 6)

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

Explanation:

The associative property in general is

(a x b) x c = a x (b x c)

where the x stands for the multiplication symbol.

The a,b,c is in the same order for both sides, but grouped in slightly different ways with the parenthesis.

Plug in a = 3, b = 8, c = 6 to arrive at (3 x 8) x 6 = 3 x (8 x 6)

ABCD is a parallelograms, only find the value of Y?

Answers

Answer: 9

Step-by-step explanation:

Mrs. McConnell states that the numbers on the cards below have a mean of 12. What number is missing to make Mrs. McConnell correct if the numbers are 7, 16, 12, 10, 11.​

Answers

Answer:

It was 16

Step-by-step explanation:

16+7+16+12+10+11=72

72 divided by 6  = 12

I WILL AWARD BRAINLIEST

Answers

Answer:

Option A is the correct answer.

Step-by-step explanation:

First, look at the second equation. Get s and r onto the same side.

For simplicity, I will use x for r and y for s

Multiply the first equation by 3, and multiply the second equation by -4.

3(2x+8y=−4)

−4(7x+6y=8)

Becomes:

6x+24y=−12

−28x−24y=−32

Add these equations to eliminate y:

−22x=−44

x=2=r

Now we substitute this back in for the original equation

(2)(2)+8y=−4

8y=-8

y=-1=s

Option A is the correct answer.

HELP ME PLEASE PLEASEE

Answers

Answer: 0.375

Step-by-step explanation: 3/4 times 1/2 equal to 0.375

Mr. Martinez has 25 kilograms of colored sand for his art students to
use on their sand art project. He packages the sand into individual bags
with 125 grams in each bag. How many bags of sand can Mr. Martinez
make?

Answers

20 bags of sand………………………

Which is greater: 25% of 15 or 15% of 25? Explain your reasoning using mathematical evidence or visual models

Answers

Answer:

15% of 25

Step-by-step explanation:

Given the following questions:

25% of 15
15% of 25

We find the answer by using the formula to calculate percentage for both questions.

Question one:
[tex]\frac{p\times n}{100}[/tex]
[tex]\frac{25\times15}{100} =25\times15=375\div100=3.75[/tex]
[tex]=3.75[/tex]

25% of 15 is 3.75

Question two:
[tex]\frac{p\times n}{100}[/tex]
[tex]\frac{15\times 25}{100}=15\times25=375\div100=3.75[/tex]
[tex]=3.75[/tex]

15% of 25 is 3.75

Finally:
[tex]3.75=3.75[/tex]

[tex]15-3.75=11.25[/tex]
[tex]25-3.75=21.25[/tex]
[tex]11.25 < 21.25[/tex]

Which means 15% of 25 is "greater than" 25% of 15.

Hope this helps.

PLEASE ANSWER URGENT

Answers

Answer:

okay, but i need something to answer

Step-by-step explanation:

Below are the line plots for two data sets.



Find the mean of each data set.
Mean of data set A:
Mean of data set B:

Answers

Answer:

Data set A mean = 4

Data set B mean = 6.5

Step-by-step explanation:

Data set A:

3(3) + 4(2) + 5(3) = 32

32/8 = 4

Data set B:

5(4) + 6(4) + 7(4) + 8(4) = 104

104/16 = 6.5

Data set A mean = 4

Data set B mean = 6.5

if the total number of people attending the game was 64,0000, how may people were supporters of the home team

Answers

Answer:

I don't understand your question.

Step-by-step explanation:

Please make it clearer.

PLEASE HELP ME I WILL MARK BRAINLIEST IF CORRECT

Answers

Answer:

C is the Answer

Step-by-step explanation:

Your 6.50 kW air conditioner is used for a total of 125 days (24 hours per day). Assume the cost per kWh is 0.0825 determined the cost of air conditioning for one year.

Answers

Answer:

Air conditioners are rated by the number of British Thermal Units (BTU) of heat they can remove per hour. Another common rating term for air conditioning size is the "ton," which is 12,000 BTU per hour.

Each air conditioner has an energy-efficiency rating that lists how many BTUs per hour are removed or “pulled out” for each watt of power it draws.

The efficiency rating for room conditioners is the Energy Efficiency Ratio, or EER.

The efficiency rating for central air conditioners, is the Seasonal Energy Efficiency Ratio, or SEER.

These ratings are posted on an Energy Guide Label, which must be conspicuously attached to all new air conditioners. Energy Star-labeled appliances mean that they have high EER and SEER ratings

tysm, brainly really helped me into getting a 15.51/20 on my math PRE-test, you hear that, PRE. So I'm not breaking no community guidelines. Anyway, tysm I appreciate it​

Answers

Answer:

pre tests still count amdand matmattemattter

Step-by-step explanation:

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