4. Is the binomial that represents the length of the fish tank a factor of the polynomial that
represents the volume of the fish tank after the hemispheres are installed? Support your answer
mathematically.

Answer:

for the first equation make it y=2x+2

the second y=2x+-6

Step-by-step explanation:

Answer:

The two equations are y = - [tex]\frac{1}{2}[/tex] x + 1 and y = [tex]\frac{1}{2}[/tex]x + 3

Step-by-step explanation:

x + 2y = 2

2y = - x + 2

y = - [tex]\frac{1}{2}[/tex] x +1

x - 2y = - 6

-2y = - x - 6

2y = x + 6

y = [tex]\frac{1}{2}[/tex] x + 3

Answer:

1.42857142857

Step-by-step explanation:

Answer: 1.428571 what is underlined is what repeats

Step-by-step explanation:

Answer:

1.3%

Step-by-step explanation:

If we multiply a city's current population by 0.987 to get its population for the next year. Each year, the population decreases by 1.3 percent.

It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol. The usage of percentages is widespread and diverse. For instance, numerous data in the media, bank interest rates, retail discounts, and inflation rates are all reported as percentages.

Suppose x₁ is the population of the year 1. As a result of the given condition the population of a city next year,x₂ is

x₂=0.987 x₁

The decrement in the percentage is found by the following formula,

% r = x₁-x₂/x₂

% r =x₁-0.987x₁/0.987x₁

% r =1.3 %

Thus, if we multiply a city's current population by 0.987 to get its population for the next year. Each year, the population decreases by 1.3 percent.

Learn more about the percentage here:

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Answer:

A

Step-by-step explanation:

Sheri sells 10 tickets every two hours

We plug two hours into Tim's equation --> t=5(2)

t=10

So, in two hours, Tim sells 10 tickets

Answer:

The answer is y = - 7x + 6

Step-by-step explanation:

A parallel line will have the same slope and since the point that is given is a y intercept, you just plug in -7x + 6 to get your parallel equation

Answer:

85

Percentage Calculator: 357 is what percent of 420? = 85.

Answer:

85%

Step-by-step explanation:

357/420 reduces to 17/20 if you divide the numerator and denominator by 21 which is equivalent to .85

Answer

C because 2 quarts make's one gallon

Step-by-step explanation:

Answer:

-3.026555905623

Step-by-step explanation:

.....

Answer:

112 degrees

Step-by-step explanation:

This is a quadrilateral, meaning 4 sides. The sum of the angles of a quadrilateral is 360 degrees. You are given the right angle, or 90 degrees, and the 46 degree angle at the bottom. Since the two lines on either side of the 46 degree angle represent parallelism, angles 1 and 2 are the same.

360 - (90+46) = 224.

224 / 2 = 112.

Answer:

[tex]m∠1 = 112[/tex]

Step-by-step explanation:

[tex]m∠1 = m∠2[/tex]

[tex]m∠1 + m∠2 + 90 + 46 = 360[/tex]

[tex]m∠1 +m ∠2 + 136 = 360[/tex]

[tex]m∠1 + m∠2 = 360 - 136[/tex]

[tex]m∠1 + m∠2 = 224[/tex]

[tex]m∠1 = \frac{224}{2} [/tex]

[tex]m∠1 = 112[/tex]

[tex]m∠2 = \frac{224}{2} [/tex]

[tex]m∠2 =112[/tex]

Answer:

80%

Step-by-step explanation:

Find 44/55 and multiply the result by 100%:  (0.8)(100%) = 80% (completed)

Answer:

1/9, 2/9, 3/9, 4/9, 1/8, 2/8, 3/8, 1/7, 2/7, 3/7, 1/6, 2/6, 1/5, 2/5, 1/4, 1/3.

Step-by-step explanation:

hope this helps,

Answer:

-6x⁶ + 4x⁴ - 3x³ + 4x² + 12

Step-by-step explanation:

To write an equation in standard form, you want to arrange the terms from increasing to decreasing powers/exponents.

given: 4x² - 6x⁶ + 2x³ + 12 - 5x³+ 4x⁴

First, lets arrange like terms together. Put the terms with the same exponent together.

2x³ - 5x³ + 4x² - 6x⁶ + 12 + 4x⁴

Now combine the terms with the same exponent by subtracting 5x³ from 2x³.

-3x³ + 4x² - 6x⁶ + 12 + 4x⁴

Now let's arrange the terms from increasing to decreasing powers/exponents.

-6x⁶ + 4x⁴ - 3x³ + 4x² + 12

This is your equation in standard form.

Hope this helps!

Answer:

Bus 1 is traveling faster.

Step-by-step explanation:

The information provided states that Bus 1 travels at 55 miles per hour. The graph shows that Bus 2 travels less than 50 miles per hour. This shows that Bus 1 travels more miles per hour.

Hope it helps!

Answer:

1 month

Step-by-step explanation:

gym As total for the first month is $30. (joining fee plus monthly fee)

gym bs total for the first month is also $30. (joining fee plus monthly fee)

Answer:

[tex]12x^{8}[/tex]

Step-by-step explanation:

Calculate the coefficient by multiplying the numbers:

2 x 6 = 12

Calculate the exponents by adding the numbers:

5 + 3 = 8

Therefore, the coefficient is 12 and the exponent is 8. You get,

[tex]2x^{3} .6x^{5}=12x^{8}[/tex]

Answer:

y-step explanation:

Answer:

10o + 15g ≥ 500

Step-by-step explanation:

Variables:

O = oranges

G = grapefruit

10 boxes of oranges (10o) and 15 boxes of grapefruit (15g) are being added together (10o + 15g). The band wants to raise AT LEAST (greater than or equal to ≥) $500.00.

Put that together, and it's:

10o + 15g ≥ 500

Answer:

a. Equations:

b. The graph is attached

c. When number of exercises is no more than 10. This point is the intersection of the lines (10, 350)

Answer:

x=-7

Step-by-step explanation:

Alrighty. 5x+8=2x-13. Lets do -2x on both sides. We'll get 3x+8=-13. Then lets subtract 8 from both sides. We'll get 3x=-21. Divide by 3 and we'll get x=-7. Hope that makes sense.

Answer:

i think the answer is 7

Step-by-step explanation:

Answer: 444

Step-by-step explanation:

your welcome have a good day! ^-^

Answer:

444

Step-by-step explanation:

12+2(4+2)^3

12+2(6)^3

12+2(216)

12+432

444

Answer:

2 is the gcf of 42 and 50

The greatest common factor of 42 and 50 is: 2

The greatest common factor, the name implies, is the greatest among all common factors among the quantities.

We have to factorize the quantities in the smallest relative factors possible (one level of factors over which all quantities can form themselves) and collect as many common factors as we could.

Those will together compose GCF.

Take out the factors of the numbers given:

42: 1, 2, 3, 6, 7, 14, 21, 42

50: 1, 2, 5, 10, 25, 50

The common numbers between the two are 1 and 2, but the greatest number is 2, which becomes the greatest common factor.

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Answer:

p = 40

Step-by-step explanation:

20/6 = p/12

20 × 12 = 6 × p

240 = 6p

p = 240/6

p = 40

Answer:

hope this helps

Step-by-step explanation:

Page 5. 5, 6, 7, 8

Page 6. 12.5

Page 7. 4(3x)

Page 8. 0, 4

i don't know number 7

Answer:

9, 10

12.5

4 + 3x

0, 4

Step-by-step explanation:

5. This just looks to be some simple multiplication so lets work this out 1 by 1 .

Plugging each answer possible into m this is what we get :

8 x 5 = 40

8 x 6 = 48

8 x 7 = 56

8 x 8 = 64

8 x 9 = 72

8 x 10 = 80

Considering these answers lets find which ones are GREATER than 67.

That would be :

72, 80

So your answers would be :

9, 10

6. Alright so this one is asking you what the value of q would be in the equation :

0.5q = 6.25

So to find q we need to see that whatever q is will be multiplied by 0.5. And this answer will be equal to 6.25 due to the = sign. So an easy way of doing this is actually just finding what 6.25 x 2 is. Since q x 0.5 will equal to 6.25, finding 6.25 x 2 is just flipping the equation in a way.

So doing this we get 12.5 which is the very top answer of that question.

8. Alright so it looks like this question is just meant to make your brain turn into a raisin when you read it, but it isn't that hard.

Lets lay everything out :

Joe is 4 more than triple the age of luke.

x represents lukes age (x = Lukes age)

And we are finding the expression that shows joes age.

Alright so looking at the problem lets look at the key word MORE. More means addition in the math world usually so lets go off that. Lucky for you that's all you need cause you only have one addition answer here but lets still go over it why don't we.

4 + 3x

4 represents the "4 MORE than lukes age"

Then we have 3. The 3 represents the "triple the age of luke"

And finally x represents Lukes age.

So if we do 3 multiplied by x (Lukes age) we get triple lukes age :

4 + (Triple lukes age)

So now we just add the 4 and it would be in theory :

Triple Lukes age + 4 = Joes age. And that's all they want.

And then finally we have 7.

This is one fairly simple just another one meant to confused you a bit it seems.

You're basically taking the variable which is q and adding +2 to it and checking to see if the sum of that is less than 7.

So lets do that with the answers given

We will just input the number where q is in the equation and then check! :

2 + 0 < 7

2 plus 0 is 2, and is less than 7!

2 + 4 < 7

2 plus 4 is 6, and is less than 7!

2 + 5 < 7

2 plus 5 is 7. It would be correct if there was an equal sign or less than or equal to sign. But there is not so this is incorrect.

2 + 7 < 7

2 plus 7 is 9, which is greater than 7.

2 + 9 < 7

2 plus 9 is 11, which is greater than 7.

So lets look at what we plugged in that is less than (<) 7 and those are our answers! :

0 , 4

The others are either equal or greater than 7 which is not what we are looking for. So the only two correct answers here are 0, 4.

I hope this helps you! If you have any questions feel free to ask them in the comments and I will help you the best I can! :)

Answer:

3.5 or 3 and 1/2

Step-by-step explanation:

3 and 15/16 / 1 and 1/8

Answer:

A

Step-by-step explanation:

-7=-2(1) -5

1=x

7=y

Answer:

None

Step-by-step explanation:

I think there is another answer option for none.  

-2(1) - 5 = -7

-2(-2) - 5 = -9

Its a if the 7 is -7

Answer:

dkdksdldlxlxzkzkdisi

Answer:

Try doing this.

Step-by-step explanation:

If you know the full length of the shape, like a triangle is 180 degrees, you need to take that full length, minus 120, 97, 130, 150, and 90, to get x.

Answer:

48

Step-by-step explanation:

3x32=96

96/2=48

Answer:

3/8

Step-by-step explanation:

1/2 x 3/4 = 3/8

You multiply the top by the number beside it and do the same for the bottom.