A Blue Viper can travel 18 2/5 miles on 4/5
tank of gas. A Red Rocket can travel 17 2/5 miles on 3/4 tank of gas. Which car can travel
further on one tank of gas?

Answer:

image below

Step-by-step explanation:

Transformation involves changing the position of a function.

The new function is [tex]\mathbf{f"(x) = -|x| - 12}[/tex]

The function is given as:

[tex]\mathbf{f(x) = |x|}[/tex]

When the function is shifted 12 units up,

The rule of transformation is:

[tex]\mathbf{(x,y) \to (x,y+12)}[/tex]

So, the function becomes

[tex]\mathbf{f'(x) = |x| + 12}[/tex]

When the function is reflected in the x-axis,

The rule of transformation is:

[tex]\mathbf{(x,y) \to (x,-y)}[/tex]

So, the function becomes

[tex]\mathbf{f"(x) = -(|x| + 12)}[/tex]

Expand

[tex]\mathbf{f"(x) = -|x| - 12}[/tex]

Hence, the new function is:

[tex]\mathbf{f"(x) = -|x| - 12}[/tex]

See attachment for the graphs of [tex]\mathbf{f(x) = |x|}[/tex] and [tex]\mathbf{f"(x) = -|x| - 12}[/tex]

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Answer:

5 is the value of x

Answer:

It would be 5 square

Step-by-step explanation:

Answer:

26 hours + 6 minutes can also be said as 1560 min + 6 minutes

1560+6/6 = 1566/6 = 261

That is = 4 hours and 21 minutes

Answer:

and independent variable It is a variable that stands alone and isn't changed by the other variables you are trying to measure. For example, someone's age might be an independent variable. and a Just like an independent variable, a dependent variable is exactly what it sounds like. It is something that depends on other factors. For example, a test score could be a dependent variable because it could change depending on several factors such as how much you studied, how much sleep you got the night before you took the test, or even how hungry you were when you took it.

Answer:

[tex]\large \boxed{\sf \frac{1}{9}}[/tex]

Step-by-step explanation:

[tex]\sf y=a(x-h)^2+k[/tex]

[tex]\sf Vertex = (h,k)[/tex]

y-value is 0 and the x value is 5

h = 2

k = -1

[tex]\sf 0=a(5-2)^2+-1[/tex]

Solve for [tex]\sf a[/tex] (the coefficient of the squared term).

[tex]\sf 0=a(3)^2+-1[/tex]

[tex]\sf 0=9a-1[/tex]

[tex]\sf 9a=1[/tex]

[tex]\displaystyle \sf a=\frac{1}{9}[/tex]

The coefficient of the squared term in the parabola equation is 1/9.

Answer:

Fot this parabola the coefficient for squared term is 7

Step-by-step explanation:

The formula for vertex equation is:

x = a*(y-h)^{2}+kx=a∗(y−h)

2

+k

if vertex is at (-3,-1) and in the formula the vertex is (k,h), we replace this values

x = a*(y +1)^{2} -3x=a∗(y+1)

2

−3

The other point of this parabola is (4,0), so we replace it in the formula below:

4 = a*(0 + 1)^{2} -34=a∗(0+1)

2

−3

4 = a*(1)-34=a∗(1)−3

4 +3= a*(1)4+3=a∗(1)

a=7a=7

Answer:

B. 0.78

Step-by-step explanation:

0.78 would be closest to the nearest hundredth, depending on where the decimal is depends on how many numbers that come after the decimal.

Therefore 0.078 would be to the nearest thousandths and 7.8 would be to the nearest tenths.

Answer:

B

Step-by-step explanation:

I recommend simply using a calculator. If you divide 7/9 you would bet 0.7 (repeating). Round to the hundredths and you would get 0.78

Answer: Phelan now have 44.69 US dollars. of the original 250 US dollars.

Step-by-step explanation:

Given, Phelan spent 150 euros on his trip.

1 European euro = 1.3687 US dollars

So, 150 euros = 150 × 1.3687 US dollars

= 205.305 US dollars

≈ 205.31 US dollars [ Rounded to the nearest cent. ]

Initially he had 250 US dollars, now he has left (250-205.31)US dollars that is

44.69 US dollars.

Hence, Phelan now have 44.69 US dollars. of the original 250 US dollars.

Phelan now have 44.69 US dollars. of the original 250 US dollars.

Answer:

5-x=1+3x  the number is 1

Step-by-step explanation:

Answer: Bentley have to pay  $20.5 in a month in which he downloaded 10 songs.

Bentley have to pay  $(13+0.75s) in a month in which he downloaded s songs.

Step-by-step explanation:

As per given,

Total amount need to pay = (Monthly cost) + (Number of songs downloads)  x (Charges for each song)

Here, Monthly cost = $13

Charges for each song = $0.75

If Number of songs downloads = 10

Then, Total amount need to pay = $ (13 +(10) (0.75))

= $( 13+7.5)

= $ 20.5

So, Bentley have to pay  $20.5 in a month in which he downloaded 10 songs.

If Number of songs downloads = s

Then, Total amount need to pay (in $) = 13 + (s)(0.75)

= 13+0.75s

So, Bentley have to pay  $(13+0.75s) in a month in which he downloaded s songs.

If Number of songs downloads = 10

$ 20.5

If Number of songs downloads = s

13+0.75s

Answer:

Step-by-step explanation:

x + y = 7

-x + y = -5

2y = 2

y = 1

x + 1 = 7

x = 6

(6, 1)

Answer:

Step-by-step explanation:

The question is incomplete. Here is the complete question.

In a square ABCD, if AB = (3x-8) and BC = (x+12), find the value of x. Also, find the length of each side of the square.

Note that all sides of a square are equal. Hence AB = BC for the square ABCD.

Given AB = (3x-8) and BC = (x+12), then AB = BC

3x-8 = x+12

collect like terms;

3x-x = 12+8

2x = 20

x = 20/2

x = 10

Substitute x = 10 into any of the side. Using side AB

AB = 3x-8

AB = 3(10)-8

AB = 30-8

AB = 22

BC = x+12

BC = 10+12

BC = 22

Hence x = 10 and the length of each side is 22

Answer:

9 2/7

Step-by-step explanation:

4 1/3=13/3

2 1/7=15/7

13/3*15/7= 195/21

=9 6/21

=9 2/7

Hi there!

Answer:

9 2/7

Step-by-step explanation:

4 1/3 = 13/3

2 1/7 = 15/7

Now you have to multiply

Which equals to: 195/21

Since this is a improper fraction, you have to divide.

195 divided by 21.

=9 2/7

Below is a picture of how you should divide (using long division).

~Have a great day!~

If you have any questions, feel free to ask!

Answer:

7.77

Step-by-step explanation:

just take off the 7 in the 100ths place :)

Answer:

7.800

Step-by-step explanation:

Because 7 is close to 8 so it would turn into 800

hope this helps ;)

Answer:

-1/cd

b = -a/cd

Step-by-step explanation:

a = -bcd

Multiplication and division are inverse operations

Multiply each side by -1/cd

a* -1/cd = -bcd * -1/cd

-a /cd = b

It is 26 if you needed answer asap

Answer: 26

Step-by-step explanation: the angles are on a straight line and all angles on a straight line add up to 180°, so, you subtract 49 from 180 to get 131 then subtract 1 ( because instead of adding you to subtract to see what was added to get 131) then divide 130 by 5 ( because 5x is the value × 5 ) and you get 26

Answer:

C

Step-by-step explanation:

So we know that:

[tex]f(3)=-2\text{ and } f(4)=-4[/tex]

This is the same as saying we have two coordinates: (3,-2) and (4,-4).

Let's find the equation of the linear function.

First, let's find the slope:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Substitute (3,-2) for x₁ and y₁ and let (4,-4) be x₂ and y₂:

[tex]m=\frac{-4--2}{4-3}[/tex]

Simplify:

[tex]m=-2/1=-2[/tex]

So our slope is -2.

Now, use the point-slope form:

[tex]y-y_1=m(x-x_1)[/tex]

Let's use (3,-2) for x₁ and y₁ and use -2 for m:

[tex]y+2=-2(x-3)[/tex]

Now, we can figure out the x-intercept.

Recall that the x-intercept is when the graph touches the x-axis.

In other words, the y-value would be 0. It will be (x,0).

So, to solve for the x-intercept, substitute 0 for y and solve for x:

[tex]0+2=-2(x-3)[/tex]

Simplify and distribute the right:

[tex]2=-2x+6[/tex]

Subtract 6:

[tex]-4=-2x[/tex]

Divide both sides by -2:

[tex]x=2[/tex]

So, our x-intercept is (2,0)

Answer:

7 seconds

Step-by-step explanation:

SA = 4πr²

784π = 4πr²

196 = r²

r = 14

At 2 cm/s, it takes 7 seconds to reach a radius of 14 cm.

Answer:

Answer is A, 7 seconds

Step-by-step explanation:

Answer is A on edgenuity, answers do not mix

Answer: 50 km

Step-by-step explanation: So the map has a scale of 1 cm: 20 km. Next, you look at how far they are apart and see if the scale and the distance on the map are the same measurement. In this case, they are both centimeters so they stay the same. Then, all you do is multiple the real size, 20 km, by  

2.5 /1 . Then, 20 x 2.5=50. So the answer is 50 km

Answer/Step-by-step explanation:

The scale factor = the ratio of the corresponding sides of the image and the preimage.

That is, A'B'/AB = B'C'/BC

The preimage is the smaller figure, given as ABCD.

AB = 3 - 1 = 2 units

BC = 4 - 1 = 3 units

The image is the larger figure, given as A'B'C'D'.

A'B' = 9 - 5 = 4 units

B'C' = 7 - 1 = 6 units

Scale factor = [tex] \frac{4}{2} = \frac{6}{3} = 2 [/tex]

Answer:

9abc(ac² - 3)

Step-by-step explanation:

Given polynomial:

Factors of the terms:

Common factors of the above:

So the answer:

Answer:

-7

Step-by-step explanation:

Answer: -7

explanation: simplify the expression

brainliest or a thank you please :)) <33

Answer:

[tex]E(119.5)= 730m[/tex]

Step-by-step explanation:

Given

[tex]E(t)= 1200(120-t)+520(120-t)^2[/tex]

Required

Determine E(119.5)

[tex]E(t)= 1200(120-t)+520(120-t)^2[/tex]

Simply substitute 119.5 for t

[tex]E(119.5)= 1200(120-119.5)+520(120-119.5)^2[/tex]

Evaluate the expressions in bracket

[tex]E(119.5)= 1200(0.5)+520(0.5)^2[/tex]

Solve 0.5²

[tex]E(119.5)= 1200 * 0.5+520*0.25[/tex]

[tex]E(119.5)= 600+130[/tex]

[tex]E(119.5)= 730[/tex]

Hence;

[tex]E(119.5)= 730m[/tex]

Answer:

20x - 16

Step-by-step explanation:

We can first do 1/2 (36x - 14), getting 18x - 7.

Then our expression becomes 18x - 7 + 2x - 9.

We can combine like terms, getting 20x - 16.

Answer:

v = 13w

Step-by-step explanation:

[tex]7w = \frac{1}{2} (w+v)\\\\7w =\frac{(w+v)}{2} \\\\Cross\:Multiply\\7w\times 2 =w+v\\\\14w = w+v\\\\Collect\:like\:terms\\14w-w =v\\\\v = 13w[/tex]

Answers & Step-by-step explanation:

A square root is a number that when multiplied by itself, equals the number you were asked to square root. For example, 2 is the square root of 4, because 2 x 2 = 4.

There is a method in algebra to simplify square roots into smaller square roots, where one can be solved. To do this, we need to find a perfect square that can be multiplied with the other square root to equal the number you were asked to square root.

Now, let's solve your problems!

___________________________________________________________

[tex]\sqrt{56}[/tex] = [tex]\sqrt{2^{2} * 14[/tex]

Now, we pull out the [tex]2^{2}[/tex] from under the radical, since we can square root this. [tex]\sqrt{2^{2} }[/tex] is simply 2.

[tex]2\sqrt{14}[/tex]

Since we can't solve [tex]\sqrt{14}[/tex], this is the final answer that your assignment is wanting.

___________________________________________________________

[tex]\sqrt{84}[/tex] = [tex]\sqrt{2^{2} * 21[/tex]

Now, we pull out the [tex]2^{2}[/tex] from under the radical, since we can square root this. [tex]\sqrt{2^{2} }[/tex] is simply 2.

[tex]2\sqrt{21}[/tex]

Since we can't solve [tex]\sqrt{21}[/tex], this is the final answer.

___________________________________________________________

[tex]\sqrt{-9}[/tex] = [tex]\sqrt{-1 * 9}[/tex]

Now, since this the number is negative, we must separate the negative out. so [tex]\sqrt{-9}[/tex] becomes [tex]\sqrt{-1 * 9}[/tex]. Since the square root of 9 is 3, we can rewrite this as:

[tex]3\sqrt{-1}[/tex]

However, since [tex]\sqrt{-1}[/tex] is imaginary, we must replace it with i. This also allows us to get rid of the square roots.

The answer becomes:

3i

___________________________________________________________

[tex]3\sqrt{18}[/tex]

This one is already partly simplified. Notice how the 3 is not under the radical. The only thing we have to work with is the [tex]\sqrt{18}[/tex].

[tex]\sqrt{18}[/tex] = [tex]\sqrt{9 * 2}[/tex]

We can square root 9 to get 3.

[tex]3\sqrt{2}[/tex]

Now, we multiply back the 3 from earlier to get:

[tex]9\sqrt{2}[/tex]

___________________________________________________________

[tex]\sqrt{28a^{2}b^{3} }[/tex]

This one may look daunting because we have the variables, but we can break it down and solve it just as easily as the rest. The first step is to square root the a² term, the answer is a. We can rewrite this as:

[tex]a\sqrt{28b^{3} }[/tex]

Next, we need to simplify [tex]\sqrt{28}[/tex], just like we did with all the other problems.

[tex]\sqrt{28}[/tex] = [tex]\sqrt{4 * 7}[/tex]

Since [tex]\sqrt{4}[/tex] is 2, we can move it out of the radical.

[tex]\sqrt{28} = 2\sqrt{7}[/tex]

Since we can do anything with the [tex]b^{3}[/tex] term, that stays under the radical.

The answer is:

[tex]2a\sqrt{7b^{3} }[/tex]

___________________________________________________________

Answer:

Step-by-step explanation: it’s C

Answer:

choice b d and e

Step-by-step explanation:

Answer:

AC =5

BC =  12

AB = 13

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2 + b^2 = c^2

(n-1)^2 + (2n)^2 = (n+7)^2

FOILing

n^2-2n+1  + 4n^2 = n^2+14n+49

Combine like terms

5n^2-2n+1   = n^2+14n+49

Bring everything to the left

5n^2-2n+1 -n^2-14n-49  = n^2+14n+49-n^2-14n-49

4n^2 -16n -48 = 0

Divide by 4

n^2 -4n -12 = 0

Factor

( n-6)(n+2) =0

Using the zero product property

n-6 =0  n+2 =0

n=6    n=-2

Since the length cannot be negative

n=6

AC = n-1 = 6-1 =5

BC = 2n = 2*6 = 12

AB = n+7 = 6+7 = 13

Given :

Hypotenuse of right angle triangle = n + 7

Base = n - 1

Altitude = 2n

Using Pythagoras theorem :

→ ( n + 7 )² = (n - 1)² + (2n)²

→ n² + 14n + 49 = n² - 2n + 1 + 4n²

→ n² + 14n + 49 = 5n² - 2n + 1 = 0

→ n² + 14n + 49 - 5n² + 2n - 1 = 0

→ -4n² + 16n + 48 = 0

→ -4(n² - 4n - 12) = 0

→ n² - 6n + 2n - 12 = 0

→ n(n - 6) + 2(n - 6) = 0

→ (n - 6)(n + 2) = 0

As n ≠ Negative

So, n ≠ -2

So, n = 6

Hypotenuse = n + 7 = 6 + 7 = 13

Base = n - 1 = 6 - 1 = 5

Altitude = 2n = 2 × 6 = 12

So,

AB = 13

AC = 5

BC = 12

Answer:

4  1/4

Step-by-step explanation:

10 1/3 = 33/3      33/3  divided by 4 = 33/12      so one quarter of your tank can hold 33/12

now just do 33/12 times 3 which is 33/4 or simplified 4  1/4

Answer:

Real numbers are mainly classified into rational and irrational numbers. Rational numbers include all integers and fractions. All negative integers and whole numbers make up the set of integers. Whole numbers comprise of all natural numbers and zero.

There are 4 types of real numbers.

Rational Numbers

Irrational Number

Natural Numbers

Whole Numbers

Real numbers include rational numbers like positive and negative integers, fractions, and irrational numbers.

The set of real numbers, which is denoted by R, is the union of the set of rational numbers (Q) and the set of irrational numbers.

Rational Numbers; Any number specified in the form of a p/q or ratio fraction is called a rational number. The numerator is defined as p, and the denominator is represented as q, where q is not equal to zero. A rational number may be an integer, whole, and natural number.

For example: 0.67, 17, 214, etc.

Irrational Number; Irrational numbers are defined as the real number that cannot be represented as a simple fraction. In other words, it cannot be represented as a ratio, such as p/q, where p and q are integers, q≠0. It is the opposite of rational numbers.

For example; √5, √11, √21, etc.

Natural Numbers; An integer greater than 0 is a natural number. Natural numbers start at 1 and move to infinity.

For example; 1, 2, 3, 4, 5.

Whole Numbers; The whole number is the number system that contains all positive integers from 0 to infinity. The whole number is an integer of 0 or greater numbers.

For example: 1, 2, 3, 4, 5…..

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