If the car gets 32 miles per gallon how much does it cost you to drive 30 miles when gasoline cost 2.55

Answer:

c > 5.28

Step-by-step explanation:

From the quadratic formula when the quantity under the square root sign, known as the determinant, is positive there will be two real solutions

b² - 4ac > 0

(-13)² - 4(8)c > 0

169 - 32c > 0

-32c > -169

c > 5.28125

Rounded

c > 5.28

Problem 1

If 0 < b < 1, then we have exponential decay. The curve will decrease downhill as you move from left to right.

If b > 1, then we have exponential growth and the curve goes uphill as we move from left to right.

Examples: y = 2(0.5)^x is exponential decay while y = 2(1.2)^x represents exponential growth.

Note that the base b cannot be negative.

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Problem 2

Plug x = 0 into the general template given

y = a(b)^x

y = a(b)^0

y = a(1)

y = a

Plugging x = 0 leads to the output y = a

Therefore, the point (0,a) is on the curve. This is the y intercept. It's where the curve crosses the y axis. If you change the value of 'a', then you change the y intercept.

Examples:

Step-by-step explanation:

16-6=10

because 16.058 rounds down

6.143 rounds down

Answer:

contrary wise the energy of unbound states is not quantized as the wave function is not subject to the previous boundary condition

Answer: hoped this helped!

Step-by-step explanation:

2) 9/10

3) 2/5

5) 4/5

6) 1/5

7) 48 8/9

Number 1 is wrong correct answer: 5/12

Answer and Step-by-step explanation:

I will be using Desmos to show you the graph.

So, draw your line from the equation, and then lightly shade the left and ride side. That middle side is where there is no solutions for -3 ≤ x ≤ -5 for y = 2x - 5.

The parts that are shaded have the solutions.

#teamtrees #PAW (Plant And Water)

Answer:

C. y = 8x

Step-by-step explanation:

Using the slope formula, we can calculate the rate of Marisol's and Timothy's Machines.

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

Marisol:

[tex]m = \frac{18-12}{3-2} \\m=6[/tex]

Timothy:

[tex]m=\frac{54-36}{6-4} \\m=\frac{18}{2} \\m=9[/tex]

Now that we know the rate of their machines, we need to choose a rate that is between 6 and 9. Therefore, the rate of Zorian's machine needs to be y = 8x.

Answer:

1300 cm = 13 m

Step-by-step explanation:

We need to find meters in 1300 cm.

We know that,

1 m = 100 cm

1 cm = (1/100) m

It means,

[tex]1300\ cm=\dfrac{1300}{100}\ m\\\\=13\ m[/tex]

Hence, there are 13 m in 1300 cm.

Answer:

Step-by-step explanation:

the value of b is 0.

the base with the power 0 is always 1

Answer:

c. √174

Step-by-step explanation:

NP²= 10²+7²+5²=100+49+25= 174

NP = √174

The length of NP would be; √174

If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:

|AC|^2 = |AB|^2 + |BC|^2    

where |AB| = length of line segment AB. (AB and BC are the rest of the two sides of that triangle ABC, AC being the hypotenuse).

We are given the measure of sides;

NP²= 10²+7²+5²

NP²=100+49+25

NP²= 174

NP = √174

Learn more about Pythagoras' theorem here:

https://brainly.com/question/12105522

#SPJ2

Answer:

1,000 meters

Step-by-step explanation:

Answer:

52/3

Pretty simple just multiply 26 to the 2 and put the 3 to the bottom.

Answer:

C, and D are both correct options.

Step-by-step explanation:

Have a nice day! :-)

Answer:

[tex]A) \displaystyle g(x) = 4 {x}^{2} + 2[/tex]

Step-by-step explanation:

recall that,

[tex] \displaystyle \rm Q _{ \text{standard}} :g(x) = {ax}^{2} + bx + c[/tex]

remember that,

since the Parabola squashes inwards we assume a=4

we know that,

as the Parabola goes upwards by 2 units we assume c is 2

hence,

our best answer choice is a

Answer:

1-(4×z) is the expression

Answer:

1 - 4z

Feel free to mark this as brainliest :D

It should be noted that a table where the constant rate of change is 6 inches for every foot will be:

1 foot = 6 inches

2 foot = 12 inches.

3 feet = 18 inches.

4 feet = 24 inches

5 feet = 30 inches.

It should be noted that an expression is used to show the relationship about the numbers given. In this case, it should be noted that there's a constant rate if 6 inches for every foot.

This means that there will be a difference of 6 inches for each foot.

Therefore, 1 foot = 6 inches

2 foot = 2 × 6 = 12 inches.

3 feet = 3 × 6 = 18 inches.

4 feet = 4 × 6 = 24 inches

5 feet = 5 × 6 = 3 inches.

This illustrates that that there is a constant relationship.

Learn more about number on:

brainly.com/question/148825

#SPJ1

Answer:

$132

Step-by-step explanation:

$440-440×0.70

=$132

Answer:

24

Step-by-step explanation:

Let's do the smaller parts at the edge.

The formula for a triangle is 1/2bh

The base is 3 the height is 4

3 times 4 is 12

12 divided by 2 is 6

Since there are two of the same triangle on the edge both of the triangle's area is 6 which is 12

No for the upper triangle, the base is 6 and the height is 4

4 times 6 is 24

24 divided by 2 is 12

12 plus 12 is 24

The answer is

The area of the shaded parts of the triangle is 24 in^2

Hope this helps!

Answer:

Absolute error = 0.6m

Percentage error = 6%

Step-by-step explanation:

Given that :

Actual height = 10.4 m

Estimated height = 11 m

Tbe percentage error :

The absolute error :

|Actual value - Estimated value|

|10.4 - 11| = 0.6 m

Percentage error :

|Actual value - Estimated value| / actual value * 100%

(0.6 / 10) * 100%

0.06 * 100%

= 6%

Answer:

the answer is -2,9 lollololl

Answer:

x = -4,      y = 8

Step-by-step explanation:

y = 2x + 16 -----(1)

2x - 7y = - 64 -------(2)

Substitute (1) in (2)

2x - 7(2x + 16) = - 64

2x - 14x - 112 = - 64

-12x = -64 + 112

-12x = 48

x = -4

Substitute x = -4 in (1)

y = 2(-4) + 16

y = -8 + 16

y  =8

Answer:

It is -4,8.

Step-by-step explanation:

y=2x +16

{

-7y=-2x-64

-6y=-48

y=8 then using substitution you will get x=-4

Answer:

A. y=-1/3x+10

Step-by-step explanation:

Perpendicular gradients(slopes) are negative reciprocals so

m=-1/3  then use the point (6,8) to find the equation of the line

y=mx+b

8=(-1/3)(6)+b

8=-2+b

b=10

y=-1/3x+10

Answer:

c=17

Step-by-step explanation:

(5+c)/2=11

5+c=22

c= 22-5

c=17

Step-by-step explanation:

Area of a triangle = ½(BASE X HEIGHT)

= ½(10x5)

=½(50)

=25in²

Step-by-step explanation:

Equation is

A=b*h/2

so:

5*10=50

50/2=25

25in²

Solution :

2a + 2b = 7    ...1)

4a + 3b = 12   ...2)

In equation, 1)

a = (7 - 2b)/2   ...3)

Putting value of a in equation 2) we get :

4 × (7 - 2b)/2  + 3b = 12

2( 7 - 2b ) + 3b = 12

14 - 4b + 3b = 12

b = 2

Putting value of b in 3) we get :

a = ( 7 - 2×2)/2

a = 3/2 = 1.5

Now,

2x - 3y = 16   ...5)

x + 2y = -6    ...6)

x = -6 - 2y

Putting above value of x in eq 5) , we get :

2( -6 - 2y ) - 3y = 16

-12 - 4y - 3y = 16

7y = -28

y = -4

x = -6 - ( 2× -4 )

x = 2

Hence, this is the required solution.

Answer:

Hello! answer: 80

Step-by-step explanation:

8 × 4 = 32 32 ÷ 2 = 16 16 × 4 = 64

4 × 4 = 16 64 + 16 = 80 therefore 80 is the answee Hope that helps!

Answer:

[tex]80~in^2[/tex]

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hope it helps...

have a great day!!

Answer:

Step-by-step explanation:

[tex]\frac{1879}{2610} = 0.719 = 72[/tex]

Answer: 7a+14b+30

How to:  Combine like terms

Have a great day and stay safe ! sorry if im wrong

Answer:

Retracing your steps

Step-by-step explanation:

Answer:

Backtracking is a general algorithm for finding all (or some) solutions to some computational problems, notably constraint satisfaction problems, that incrementally builds candidates to the solutions, and abandons a candidate ("backtracks") as soon as it determines that the candidate cannot possibly be completed to a valid solution.[1]

if that is not what you are looking for then the other option would be retracing your steps

Step-by-step explanation:

Answer:

E.

Step-by-step explanation:

[tex](a^{\frac{2}{3}} b^{\frac{1}{3}}) ^\frac{1}{2} = a^{{\frac{2}{3}} \times\frac{1}{2}} \times b^{{\frac{1}{3}} \times \frac{1}{2} } = a^{\frac{1}{3}} b^{\frac{1}{6}}[/tex]