What is the solution to the system of polynomials graphed below?

The ratio of liters to gallons in simplest form is 5 : 19.

A ratio is a comparison between two similar quantities in simplest form.

Proportions are of two types one is the direct proportion in which if one quantity is increased by a constant k the other quantity will also be increased by the same constant k and vice versa.

In the case of inverse proportion if one quantity is increased by a constant k the quantity will decrease by the same constant k and vice versa.

Given, 1 gallon is around 3.8 liters.

So, The ratio of liters to gallons in a : b form is 1 : 3.8

Or, 10 : 38,

Or 5 : 19.

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Answer:

x = 15

Step-by-step explanation:

3x-7=x+23

Subtract x from each side

3x-x-7=x-x+23

2x -7 = 23

Add 7 to each side

2x-7+7 = 23+7

2x = 30

Divide by 2

2x/2 = 30/2

x = 15

Answer:

x=15

Step-by-step explanation:

3x-x=23+7

2x=30 divide by 2

x=15

Answer:

See below.

Step-by-step explanation:

For 3, we have:

1, 3, 6, ___, 15, 21, _____, 36, _______

Let's try to determine the pattern. From 1 to 3, we added 2.

From 3 to 6, we added 3.

So, it seems that the fourth term would be to add 4, and then add 5. Let's try it:

6+4=10

10+5=15.

So, it seems we're correct. So, we will add 6, then 7, and then 8, etc. Therefore, our correct sequence would be:

1 (+2), 3 (+3), 6 (+4), 10 (+5), 15 (+6), 21 (+7), 28 (+8), 36 (+9), 45

For 4, we have:

100, _____, 64, ______, 36, 25, _______

Notice that these all are perfect squares. 10 squared is 100, 8 squared is 64, etc. Thus, we can rewrite this as:

10², _____, 8², ______, 6², 5², ______

Therefore, our blanks would be:

10², 9², 8², 7², 6², 5², 4².

Evaluated, this woul be:

100, 81, 64, 49, 36, 25, 16.

And we're done!

Step-by-step explanation:

Using the f(x) defined in the question,

f(0) = -(0) + 2 = 2.

Answer:

A

Step-by-step explanation:

the other options have a common difference

Answer:

A is not arithmetic series

Step-by-step explanation:

In B,C and D there is arithmetic series as a2-a1=a3-a2

In A. there is no such series.....

Answer:

C and D

Step-by-step explanation:

C) C = [360 - 148(2)] divide 2

= 32 degrees

Explanation: 148 and C is an opposite angle so the angles oppose to it has the same value

D) h = 76

Explanation: opposite angles

I = 76

Explanation: transverse angles

j = [360 - 76x2] divide 2

= 104 degrees

Explanation: same as C

Hope this helps!

Answer: Maria did not divide correctly

Step-by-step explanation:

Answer:

Maria did not divide correctly

Step-by-step explanation:

Answer:

[tex]\frac{1}{4}[/tex]

Step-by-step explanation:

let the number be x , then

[tex]\sqrt{x}[/tex] = 2x ( square both sides )

x = (2x)² = 4x² ( subtract x from both sides )

4x² - x = 0 ( factor out x from each term )

x(4x - 1) = 0

Equate each factor to zero and solve for x

x = 0

4x - 1 = 0 ⇒ 4x = 1 ⇒ x = [tex]\frac{1}{4}[/tex]

Assuming x > 0 then the number is [tex]\frac{1}{4}[/tex]

As a check

[tex]\sqrt{\frac{1}{4} }[/tex] = [tex]\frac{1}{2}[/tex] and 2 × [tex]\frac{1}{4}[/tex] = [tex]\frac{1}{2}[/tex]

Answer:the correct answer is b

Step-by-step explanation:

Answer:The initial value represents the 2 gigabytes of data stored on the computer when Jackie bought it, and the rate of change represents the 3.5 gigabytes per year that Jackie is storing.

The statement first is correct because 2GB represents the initial data and in the second term 3.5GB represents the rate of change of data per year.

It is defined as a special type of relationship and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

Initial data when Jackie bought = 2 gigabytes

Rate of change of data per year:

[tex]\rm\frac{dB}{dt} = 3.5[/tex]

We can frame a linear function such that:

[tex]\rm y = 2 + n(\frac{dB}{dt})[/tex]

[tex]\rm y = 2 + 3.5n[/tex]

Where y represents the total data stored at n years.

And n represents the [tex]\rm n^{th}[/tex] year

When n = 0 then y = 2     (initial data when Jakie bought it)

When n = 1 then y = 5.5   (after one year the amount of data Jakie's                                                       computer has)                          

Term 2 represents the initial data and term 3.5 represents the rate of change of data per year.

Therefore, the initial value represents the 2 gigabytes of data stored on the computer when Jackie bought it, and the rate of change represents the 3.5 gigabytes per year that Jackie is storing.

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Answer:

Step-by-step explanation:

  A = ¹/₂(B + C - D)

  ×2      ×2

 2A = B + C - D

-C+D         -C+D

  2A - C + D = B

Answer:

The answer is

Step-by-step explanation:

To find the equation of the line given a point and slope we use the formula

[tex]y - y _{1} = m(x - x _1)[/tex]

where

m is the slope

( x1 , y1) is the point

From the question the point is

(1/2,4) and slope m = -8

The equation of the line is

[tex]y - 4 = - 8(x - \frac{1}{2} ) \\ y - 4 = - 8x + 4 \\ y = - 8x + 4 + 4[/tex]

We have the final answer as

Hope this helps you

Answer:

Length of fencing needed = 4x + 45

Step-by-step explanation:

Assume;

Width of rectangle = x

So,

Length of rectangle = x + 45

Find:

Length of fencing needed

Computation:

Length of fencing needed = 2(l+b) + b

Length of fencing needed = 2(x+45+x) + x

Length of fencing needed = 2(2x+45) + x

Length of fencing needed = 4x + 45

Answer:

9

Step-by-step explanation:

we have

[tex]|\frac{27}{-3}|\\\\=|-9|[/tex]

and absolute value of -9 is 9

so answer is 9

Answer:

The perimeter is a distance so all length units apply

● millimeters

● meters

● centimeters

Answer:

-24 - 57i

Step-by-step explanation:

i'm assuming that this is a question about imaginary numbers and that i²= -1

we can expand the binomial by using the FOIL method (see attached)

(6 − 7i)(3 − 6i)

= (6)(3) + (6)(-6i) + (-7i)(3) + (-7i)(-6i)

=18 - 36i - 21i + 42i²   (recall that i²= -1)

= 18 - 57i + 42(-1)

= 18 - 57i - 42

= -24 - 57i

Answer:Three times the difference of x and seven plus ten

Step-by-step explanation:

Answer:

120 degrees

Step-by-step explanation:

Regular hexagon means all the sides are equal

(6-2)(180)=The sum of interior angles of hexagon

=>720 degree

Therefore each angle=720/number of sides

=720/6=120 degree

So let the marked angle in figure be 'x'

And the adjacent equal angles to x, y

So y+y+x=360 [Angle around point=360]

2y+x=360 [but y=120 degree proved]

240+x=360

x=120

Answer:

the answer is 120 degrees- i dont feel like typing everything out about how i got it but ik thats the answer.

Step-by-step explanation:

Answer:

Y-axis = scoops sold

X-axis = month

Answer:

30x - 18y + 24

Step-by-step explanation:

When the distributive property is in play, you multiply all the numbers in the parenthesis by the number that's right next to it. In this case, you're multiplying 6 to all of the numbers in the paranthesis (5x - 3y +4).

Answer:

5

Step-by-step explanation:

14, 13, 12, 11, 10, 9.

5+4 = 9

Answer:

5

Step-by-step explanation:

You're given 14 - [something] = 5 + 4.

You can start out by making sure you understand what you see.

If fourteen minus a number equals five plus four, you can start out by adding five and four together, right?

And you can figure out that 5 + 4 = 9.

So now, the question is just asking you to find a number such that when you subtract it from 14, you get 9:

14 - [something] = 9

Now you can just think about this. Fourteen minus what equals 9?

You can just count down: 14, 13, 12, 11, 10, 9. You counted down five times to get to 9, so the missing number is 5.

Or, you can also think like this:

You know that 10 is just one more than 9.

14 - 4 = 10. So 14 minus what is 9? 14 - 5 = 9 It has to be 5!

Answer:

50,25

Step-by-step explanation:

you continue to divide by 2 so 100/2 is 50 then 50/2 is 25

Answer:

Step-by-step explanation:

7(a + 2b) + x(a + 2b)

(7 + x)(a + 2b)

Answer:

(7 + x)(a + 2b) This is most simplified it can be

Answer:1.25

Step-by-step explanation:90/72

Joe can make 9 key chains to have the same number of beads with 90 blue beads and 72 yellow beads.

The HCF of two or more than two numbers is the highest number that divides the given two numbers completely.

Joe wants each key chain to have the same number of beads.

∴ HCF of 72 and 90 is 18

Now with those 18 beads 9 each type he can make (90 + 72)/18 key chains.

= 162/18.

= 9 key chains.

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Answer:

Each friend will need to contribute $20

Step-by-step explanation:

For the problem regarding the equally distributed cost per friend to rent a go-cart track, we can simply use the following eqaution:

Cost per friend = Total cost / # of friends

We are given that the Total cost is $100 and that there are 5 friends.  So let's plug this into the equation to find the cost per friend (Assuming each friend is paying an equal amount):

Cost per friend = Total cost / # of friends

Cost per friend = $100 / 5

Cost per friend = $20

Hence, each friend will need to contribute $20.

Cheers.

Answer:

19

Step-by-step explanation:

All you have to do is add 14 to 5 to find out x-5=14

Answer:

(-4, -1)

Step-by-step explanation:

Multiply both coordinates by 1/3 which is the same as dividing by 3.

Answer: (-4, -1)

The domain of function f (x) = x² - 10x + 22 is, (-∞, ∞).

A relation between a set of inputs having one output each is called a function.

Given that;

The function is,

⇒ f (x) = x² - 10x + 22

Now, We know that;

Domain of a function is defined as a set of value for which the value of function is real and defined.

Here, There is no points for x where the function f(x) is non defined.

Hence, Whole number line is the domain for the given function.

So, The domain of function f (x) = x² - 10x + 22 is, (-∞, ∞).

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