Jason gets 15 gallons of gas at $3.90 a gallon. 15 gallons gives him 20 miles to the gallon. How many miles can Jason travel on 1 tank of gas?

Step-by-step explanation:

that means both functions deliver the same result for the same x.

therefore

x⁵ = x⁷

one solution is of course, x = 0.

the other(s) we get for x<>0 by dividing both sides by x⁵ :

1 = x²

that means we have 2 more solutions (a quadratic equation has 2 solutions, a cubic equation has 3 solutions,...) :

x = 1

x = -1

so, the intersection points are

for x = 0, we get y = 0⁵ (or 0⁷) = 0

for x = 1, we get y = 1⁵ (or 1⁷) = 1

for x = -1, we get y = (-1)⁵ or (-1)⁷ = -1

(-1, -1)

(0, 0)

(1, 1)

The intersection points of the function y = x⁵ and y = x⁷ are (0, 0) , (1, 1) and (-1 , -1).

What is Intersection point?

The intersection point is the point at which the two lines are cuts to each other.

Given that;

The equations are,

⇒  y = x⁵

⇒ y = x⁷

Now, Solve for intersection point as;

The equations are,

⇒  y = x⁵

⇒ y = x⁷

Equate both equation to each other, we get;

⇒ x⁷ = x⁵

Subtract x⁵ both sides , we get;

⇒ x⁷ - x⁵ = x⁵ - x⁵

⇒ x⁷ - x⁵ = 0

⇒ x⁵ (x² - 1) = 0

This gives two conditions;

⇒ x⁵ = 0

or, ⇒ x² - 1  = 0

Solve both the equations as;

⇒ x⁵ = 0  

⇒ x = 0

And,  x² - 1  = 0

( x - 1 ) (x + 1) = 0

x = 1 or x = -1

Thus, The values of x are 0 , 1 and -1.

So, The intersection points are;

For x = 0; y =  x⁵ = 0

For x = 1; y =  x⁵ = 1

For x = -1; y =  x⁵ = -1

Thus, The intersection points of the function y = x⁵ and y = x⁷ are (0, 0) , (1, 1) and (-1 , -1).

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the answer is 56 and 16

Step-by-step explanation:

56 and 16

Step-by-step explanation:

[tex] \frac{2}{3} of \: 54 = 36 \\ \\ \frac{1}{6} of \: 54 = 9 \\ 36 + 9 = 45 \\ 54 - 45 = 9[/tex]

therefore, 9 students haven't given their speech

Answer:

18

Step-by-step explanation:

18devided by 3 is 6 and 18 divided by 2 is 9

The number that has prime factors of 2 and 3 is 18.

Prime factors are factors that are prime numbers. Prime numbers are numbers that are divisible by one and itself. Examples are 2 and 3.

What are the factors of the numbers between 14 and 19?

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Step-by-step explanation:

63/56 = 9/8 = 1⅛.

hope this helps you.

Answer:

1 1/8.

Step-by-step explanation:

First divide 63 by 56 .

This gives 1 with a remainder of 7.

So we can write the mixed number as 1 7/56.

This simplifies to 1 1/8.

Answer:  I had difficulty reading the problem, so please check my interpretation.

Width is 11x^4 and Length is 5x^2 + 2

Step-by-step explanation:

The greatest common factor of 55x^6 and  22x^4 is 11x^4.  So the width is 11x^4.

Length = (55x^6+22x^4)/(11x^4)

Length = 5x^2 + 2

Answer:

Step-by-step explanation:

I would start with the form

y = mx + b

and then convert to standard form.  Using the given point and the given y-intercept, find the slope from

-3 = 7m + 2 ⇒ m = -5/7

y = (-5/7)x + 2  

7y = - 5x + 14

5x + 7y = 14 (standard form)

The equation in standard form of the line is 5x + 7y = 14

An equation is a mathematical statement with an 'equal to' symbol between two expressions that have equal values.

Given that, a line is passing through (7, -3) and has a y intercept of 2

The general equation of a line is y = mx + b

Using the given point and the given y-intercept, find the slope from

-3 = 7m + 2

m = -5/7

y = (-5/7)x + 2  

7y = - 5x + 14

Converting into standard form;

5x + 7y = 14

Hence, the equation in standard form of the line is 5x + 7y = 14

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Answer:

y = -16.25

Step-by-step explanation:

[tex]26=-\frac{8}{5}y[/tex]

It can also be written as

[tex]26=\frac{-8y}{5}[/tex]

-8y = 26 * 5

-8y = 130

y = 130/-8 = - 65/4 = -16.25

Answer:

For starters how much does it cost to rent out the shoes

2nd of all how much does it cost too play each game ??

Step-by-step explanation:

ill answer just gimme the info pls

Answer:

below.

Step-by-step explanation:

2. 4.

3. 180   3. Internal angles between parallel lines.

4. 6.

5. 20 160.

Answer:

1 1/2 and -5 1/2

Step-by-step explanation:

if you add 3 1/2 to -2 you get 1 1/2

if you subtract 3/12 from -2 you get -5 1/2

Answer: 4 hours 30 minutes

Step-by-step explanation: 36/8 = 4.5 hours

hours = 4, minutes = 0.5*60 = 30

Answer:

32.82

Step-by-step explanation:

Answer:

32.82 OUNCES

Step-by-step explanation:

It is really easy.

All you have to do is 5.47x6

Answer:

Peter swam 12 hours, Pam swam 6

Step-by-step explanation:

Pam = x

Peter = y

y = 2x (this is because Peter swam twice as much)

y + x = 18 (this is because they both swam a total of 18 hours)

2x + x = 18 (substitute for y)

3x = 18

x = 6 (pam)

Now, I just need to substitute x = 6 into original equation.

y = 2(6)

y = 12 (peter)

Answer:

Peter- 12 hours

Pam- 6 hours

Step-by-step explanation:

You can set it up an an equation.

P = Peter

18= P + (P/2)

Solve.

36=2P+p

36=3P

P=12

Peter swam 12 hours.

Then 18-12= 6, Pam's number of hours.

Answer:

Both graphs intersect the x-axis to the right of 0

- BRAINLIEST answerer

Answer:

1.  12√3

2.  16√3

3.  6√5

4.  8√6

Step-by-step explanation:

To find the geometric mean of n numbers multiply the numbers and then take the nth root.

For two numbers n = 2  

it's the square root of the product

√(16 * 27)

√432

12√3

√(24 * 32)

√768

16√3

√(5 * 36)

√180

6√5

√(8 * 48)

√384

8√6

Answer: w x 7 + 6 x 7

Step-by-step explanation:

I really can't explain.

Answer:

7 pounds?

Step-by-step explanation:

Answer:

f = 2 6/7

Step-by-step explanation:

[tex]\dfrac 35 \cdot f = 1 \dfrac 57 \\\\\\\implies \dfrac{3f}5 = 1 + \dfrac 57 = \dfrac{12}7\\\\\\\implies 21f = 60\\\\\implies f = \dfrac{60}{21} = \dfrac{20}7 = 2 \dfrac 67[/tex]

Answer:

D

Step-by-step explanation:

Apply 1 as x, y = 3(1) - 2 is 1 and y = -2(1) + 3 is also 1, so the point is at (1, 1)

Answer:

1. Yes, is a function {(2, 2),(4, 4),(6, 6),(8, 8)}

2. Yes, is a function {(0, 3),(3, 5),(5, 6),(8, 4)}

3. Yes, is a function {(1, 2),(3, 3),(4, 8),(6, 3)}

4. No, not a function {(3, 4),(5, 2),(5, 6),(7, 3)}

Step-by-step explanation:

1. Since there is one value of y for every value of x in  {(2, 2),(4, 4),(6, 6),(8, 8)} , this relation is a function.

2. Since there is one value of y for every value of x in {(0, 3),(3, 5),(5, 6),(8, 4)}, this relation is a function.

3. Since there is one value of y for every value of x in {(1, 2),(3, 3),(4, 8),(6, 3)}, this relation is a function.

4. Since x=5 produces y=2 and y=6, the relation {(3, 4),(5, 2),(5, 6),(7, 3)}, is not a function.

1 2 3 are true the last one is not there it is.

how do i know?

well i did the test my self.

just trust me.

Answer:

ok

Step-by-step explanation:

I am ready noah for your survey :)

Answer:

just divide both of them

Answer:

525

Step-by-step explanation:

200-25=175. 175*3=525

Answer:

15 students aren't wearing blue or white

Step-by-step explanation:

1/10 of 30 = 3

2/5 of 30 = 12

3 + 12 = 15

30 - 15 = 15

Answer:

bx + ba

Step-by-step explanation:

Product is multiplication

[Given] (x+a) * (b)

[Reorder] b(x + a)

[Dsitribute] bx + ba

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather