5. Which of the following linear expressions is a factor of the cubic polynomial x^3 + 9x² +16x-12?
(1) x+6
(3) r-3
(2) x-1
(4) x+2

20 cm³ of pure alcohol is added to 10 cm of a 10% alcohol solution to strengthen it to a 70% solution.

Let x represent the volume of pure alcohol (100%) in cm³ needed to be added. Hence:

x * 100% + 10 cm³ * 10% = 70% * (x + 10 cm³)

x * 1 + 10 * 0.1 = 0.7 * (x + 10)

x + 1 = 0.7x + 7

x - 0.7x = 7 - 1

0.3x = 6

x = 20 cm³

Therefore 20 cm³ of pure alcohol is added to 10 cm of a 10% alcohol solution to strengthen it to a 70% solution.

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Answer:

20 cm³

Step-by-step explanation:

Answer:

it's simply what we follow and respect like we value our culture

Step-by-step explanation:

hope this will help

Answer:

[tex]\left(4x^2-xy+y^2\right)\cdot \left(x+y\right)^2\cdot \left(x-y\right)^2\\[/tex]

Step-by-step explanation:

Answer:

1. 2x2x2x3

Step-by-step explanation:

Let's do process of elimination.

2. 2x2x3

2x2=4   4x3=12

2 is false.

3. 8x3

8x3=24

3 is true, but 8 is not a prime number.

4. 6x4​

6x4=24

4 is true, but 6 is not a prime number.

This leaves 1. 2x2x2x3.

1. 2x2x2x3

2x2=4    2x3=6     6x4=24

1 is true, and 2 and 3 are prime numbers. So, the answer is 1.

-hope it helps

Answer:

1. 2x2x2x3

Step-by-step explanation:

Prime factorization is defined as a way of finding the prime factors of a number, such that the original number is evenly divisible by these factors.

[tex]24\:\mathrm{divides\:by}\:2\\\\\quad \:24=12\cdot \:2[/tex]

[tex]12\:\mathrm{divides\:by}\:2\\\\\quad \:12=6\cdot \:2[/tex]

[tex]6\:\mathrm{divides\:by}\:2\quad\\\\ \:6=3\cdot \:2[/tex]

[tex]2, 6\:\mathrm{divides\:by}\:2\quad \\\\\:6=3\cdot \:2[/tex]

The content of the mixture, which are the colour, developer, and

conditioner, are in a fixed proportion to each other.

Reasons:

The table of the amount of each product used in the mixture are;

[tex]\begin{tabular}{|c|c|c|c|}Product&Colour&Developer&Conditioner\\Amount&30 ml&60 ml&60 ml\end{array}\right][/tex]

The number of appointment per month = 50

The quantities used per month have a proportional relationship

Quantity used a month are;

Colour = 30 ml × 50 = 1,500 ml

Developer = 60 ml = × 50 = 3,000 ml

Conditioner = 60 ml × 50 = 3,000 ml

Quantity available are;

Colour = 3.5 liters

Developer = 0.5 liters

Conditioner = 2.2 liters

The quantity needed = Quantity used - Quantity available

Therefore;

Quantity needed are;

Colour = 1,500 ml - 3,500 ml = -2,000 ml

Developer = 3,000 ml - 500 ml = 2,500 ml

Conditioner = 3,000  ml = 2,200 ml = 800 ml

Therefore, Poppy has enough colour but she needs 2,500 ml of developer and 800 ml conditioner

Therefore, she should order;

3,000 ml = 3 liters of developer

1,000 ml = 1 liter of conditioner

Therefore;

Poppy is incorrect, she should order 3 liters of developer and 1 liter of conditioner.

Learn more about proportional relationships here:

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Answer:

  A

Step-by-step explanation:

If the figure is to be a parallelogram, opposite sides must be the same length. This requires ...

  15 = x +8   ⇒   x = 7 . . . . long sides equal length

and ...

  x +2 = 2x -5 . . . . . short sides equal length

  7 = x . . . . . . . . . . add 5-x

The value x=7 will make opposite long sides have lengths 15 mm and opposite short sides have lengths 9 mm.

Figure WXYZ can be a parallelogram with one pair of sides measuring 15 mm and the other pair measuring 9 mm.

Answer:

Step-by-step explanation:

Given : The total number of jerseys = 350

The number of medium-sized jerseys = 154

Then, the percent of the jerseys are medium-sized jerseys will be :-

\begin{gathered}\dfrac{\text{Number of medium-sized jerseys }}{\text{Total jerseys}}\times100\\\\=\dfrac{154}{350}\times100\\\\=0.44\times100=44\%\end{gathered}

Total jerseys

Number of medium-sized jerseys

×100

=

350

154

×100

=0.44×100=44%

Answer:

my guess would probably be 5 but it could also be 25. (id like to say the answer but i cant cause this should be something for you to decide the answer not me.

Step-by-step explanation:

I hope this helps you!

If my calculations are correct, the percentage decrease faced here is roughly 38.2%. Based on the calculations, the bicycle costs 199$ and when the cost is subtracted from 520, you would create the percentage of 38.2%.

Answer:

she will pay $19 for each day

Step-by-step explanation:

94-18=76

76÷4=19

The rental cost of each day Tara used the kayak is $19 if Tara stayed at the Merry Mountain campgrounds last weekend. She paid a rental fee to use a kayak for 4 days.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that:

Tara stayed at the Merry Mountain campgrounds last weekend. She paid a rental fee to use a kayak for 4 days.

Let x be the rental cost of each day Tara used the kayak.

4x + 18 = 94

4x = 94 - 18

4x = 76

x = 76/4

x = $19

Thus, the rental cost of each day Tara used the kayak is $19 if Tara stayed at the Merry Mountain campgrounds last weekend. She paid a rental fee to use a kayak for 4 days.

Learn more about the linear equation here:

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Answer:

The relation which is a function is the one in which none of the first coordinates repeated.

Step-by-step explanation:

Answer:

[tex]\displaystyle m = \frac{-1}{3}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Coordinate Planes

Slope Formula: [tex]\displaystyle m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Step-by-step explanation:

Step 1: Define

Identify points from given graph.

Point (0, -1)

Point (-3, 0)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m.

Answer:

1.6 divided by 8 is 0.2

Step-by-step explanation:

Answer:

67 hah why you solve this

[tex]\textbf{u} \cdot \textbf{u} = 45\\\\\implies |\textbf{u}|^2 =45\\\\\implies |\textbf{u}| = 3\sqrt{5}[/tex]

Answer:

Step-by-step explanation:

We know that:

First, we need to change the 'y' sign.

Now, let's compare both of the equations to find slope.

We can see that the slope is 1 and the y-intercept is -6.

Conclusion:

Therefore:

Hoped this helped.

Answer:

6. 47

7. –25

8. 15

9. –33

10. –9

Step-by-step explanation:

Substitute.

6. x=-7

y = -8x - 9

= -8(-7)-9

= 56-9

y=47

7. x=2

y= -8x-9

= -8(2)-9

= -16-9

y= -25

8. x=-3

y= -8x-9

= -8(-3)-9

=24-9

y= 15

9. x=3

y= -8x-9

= -8(3)-9

= -24-9

y= -33

10. x=0

y= -8x-9

= -8(0)-9

= 0-9

y= -9

Answer:

i dont now

Step-by-step explanation:

Answer:

VI

Step-by-step explanation:

The letter "A" is a vowel and a capital letter, so this should be categorized in group VI, where the vowel circle and the capital letter circle overlap.

Answer:

F

Step-by-step explanation:

It is a capital letter and a vowel

Answer:

Step-by-step explanation:

5x + 10 + 10x + 5 = 180

15x + 15 = 180

15x = 165

x = 11

Answer:

x² - 3x + 5 - [24÷(x+3)]

Step-by-step explanation:

1. Expand (x³ + 2x - 6x - 9)

            = x³ - 4x - 9

2. Divide [x³ - 4x - 9 by x+3]

            = x² + [(-3x^2-4x-9) ÷ (x+3)]

3. Divide [(-3x^2-4x-9) by (x+3)]

            = -3x + [(5x-9) ÷ (x+3)]

x² - 3x + [(5x-9) ÷ (x+3)]

4. Divide [(5x-9) ÷ (x+3)]

            = 5 + [(-24) ÷ (x+3)]

x² - 3x + 5 + [(-24) ÷ (x+3)]

= x² - 3x + 5 - [24 ÷ (x+3)]

A (good way to save money): If you shop smart, you can pick up amazing deals like BOGO's, 50% Off, 60 or even 70% off and yet you can still get so many brand that people enjoy

B (good way to save money): If you have a good credit card company, you can earn free rewards or even cheaper rewards for things that can cost large amounts

C (helps save lots of money): This is almost like paying another bill every month, where you set aside a certain amount every month for in the future like vacations or when you hit retirement. This could also be considered the answer because that could also bring to the lack of able to pay all bills needed

D (this is where I think the answer could be possible): Some people make "goals" of spending hundreds of dollars on shopping mall trips or goals of purchasing tons of things that want and can cost thousands of dollars, which is considered a waste of money

Answer:

Complete the SquareSolve for x over the real numbers:(x - 8)^2 - 100 = 0

Add 100 to both sides:(x - 8)^2 = 100

Take the square root of both sides:x - 8 = 10 or x - 8 = -10

Add 8 to both sides:x = 18 or x - 8 = -10

Add 8 to both sides:Answer:  x = 18 or x = -2

Step-by-step explanation: DONT TRUST THIS THOUGH

Answer:

-5 less than or equal to x less than or equal to -8

Step-by-step explanation:

You have to isolate x.

Start with removing +2.

Take 2 away from both sides

15 less than or equal to -3x less than or equal to 24

Then, the only thing you have to isolate after that is -3, you have to remove it from x.

Since -3x is multiplying, you have to divide by -3 on the other sides.

15 divided by -3 is -5

24 divided by -3 is -8

Therefore,

The answer is...

-5 less than or equal to x less than or equal to -8

Answer:

1.323 pounds I think I'm not too sure thi sorry

Answer:

1.32 pounds

Step-by-step explanation:

convert 1kg to 1000g

[tex]1000g = 2.2pounds[/tex]

Find out how many pounds per 100g

[tex]100g = 0.22 \: pounds[/tex]

multiply by 6 to get 600g and multiply right hand side of the equation as well

[tex]600g = 0.22 \times 6[/tex]

[tex]600g = 1.32 \: pounds[/tex]

Answer:

2x - 3y = 19

Step-by-step explanation:

y=(-5--1)/(2-8)*(x -8)+-1

y=-4/-6(x-8)-1

3y=2x-16-3

3y=2x-19

2x-3y=19

the answer is 64 multiplication can be done with calculator or normal

[tex]28+24=4(7)+4(6)=4(7+6)[=4(13)=52][/tex]

The answer: 4(7+6)

ok done. Thank to me :>