George is driving his car. At the end of 2 hours he has driven 94 miles, and at the end of 4 hours he has driven 238 miles. What is the average rate of change? Type your numerical answer below.

The equation of the straight line is y = 2x + 6.

An equation of a line is a mathematical expression that describes the relationship between the x and y coordinates of the points on the line. There are several different forms of the equation of a line, but the most commonly used is the slope-intercept form:

y = mx + b

where m is the slope of the line and b is the y-intercept, which is the point where the line crosses the y-axis.

We have,

To find the equation of the straight line passing through the points (-3, 0) and (0, 6), we can use the slope-intercept form of a linear equation, which is:

y = mx + c

where m is the slope of the line and c is the y-intercept.

We can first find the slope of the line using the formula:

[tex]m = (y_2 - y_1) / (x_2 - x_1)[/tex]

[tex]where ~(x_1, y_1) = (-3, 0) ~and ~(x_2, y_2) = (0, 6):[/tex]

So,

m = (6 - 0) / (0 - (-3)) = 6/3 = 2

Now we can substitute the slope and one of the points into the slope-intercept form to find the y-intercept:

y = mx + c

0 = 2(-3) + c

0 = -6 + c

c = 6

Therefore,

The equation of the straight line is y = 2x + 6.

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Answer:

12.6 miles I think. I would wait for another answer to be possitive.

Answer:

I think: 0 = 3x + b or b = -3x + 0 or x = -b + 0/3 or 3 = -b + 0/x

Sorry if you get this wrong..

A triangle is equal to 180.

65+57=122

122+58=180

The answer is A.

The probability that cards are from different suits is [tex]\frac{39}{51}[/tex]

Probability of an event E represented by P(E) can be defined as (The number of favorable outcomes )/(Total number of outcomes).

There are 4 suits hearts, diamonds, club and spade in a standard deck of 52 cards.

Each of them has 13 cards each .

So when we pick first card from a single suit

we can pick it in 13 ways , now 12 cards are left.

We can pick the 2nd card from the same suit in 12 different ways .

So to pick 2 cards from a single suit we have 13x12 ways.

to pick 2 card from 4 suits = 4x13x12=624 ways

Total ways of choosing 2 cards from the pack of 52 cards is 52 X 51 =2652

probability that the cards are of same suits=[tex]\frac{624}{2652} =\frac{12}{51}[/tex]

probability that the cards are of different suits=[tex]1-\frac{12}{51} =\frac{39}{51}[/tex]

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Answer:

9 is the answer.

Step-by-step explanation:

( -89)/(-9)

When (-) I'd divided by (-) it changes into (+)

Soo, the answer is 9

Answer:

6.25 cups of water

Step-by-step explanation:

So I first write out the rates: 4:2.5 and also 10:?

So let's find out how the scoops changed, as in how did you get 4 to become 10 so you can do the same thing to 2.5 and get ?.

To go from 4 to 10 you MULTIPLY/DIVIDE. DON'T ADD OR SUBTRACT. 10 divided by 4 (to see what you multiplied by) is 2.5.

So we multiplied 4 by 2.5 to get 10. So if we multiply 2.5 by 2.5 we get 6.25.

So 4:2.5  =  10:6.25  

?=6.25

Hope this helps!

Answer:

B?

Step-by-step explanation:

Answer:

A. 8i

General Formulas and Concepts:

Algebra II

Step-by-step explanation:

Step 1: Define

√-64

Step 2: Evaluate

Answer:

B

Step-by-step explanation:

Vertical line test = if u draw a vertical line in the graph and it passes through the graph lines once. then it passes. The option that represents this is B.

Hope this helps plz hit the crown :D

Answer:

It's definitely B.

Step-by-step explanation:

The value of X for carlon evaporate is 36. 

A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%", although the abbreviations "pct.", "pct" and sometimes "pc" are also used. A percentage is a dimensionless number; it has no unit of measurement.

A linear equation is an algebraic equation of the form y=mx+b involving only a constant and a first-order (linear) term, where m is the slope and b is the y-intercept. Occasionally, the above is called a "linear equation of two variables," where y and x are the variables.

Given that

Total amount of solution = 90          

total amount of salt = 15 % of 90

                                             = [tex]90 \times \frac{15}{100}[/tex]

                                             = 13.5        

Now removed X from the solution

Then, remaining solution is 90 - X

Percentage of salt in the remaining solution [tex]= \frac{salt}{remaining solution}[/tex]

Given that , % of salt in the remaining solution is equal to 25% then, Percentage of salt in the remaining solution

⇒ [tex]\frac{salt}{remaining solution}[/tex] = 25%

⇒ [tex]\frac{13.5}{90 - X} = \frac{25}{100}[/tex]

⇒1350 = 2250 - 25 x

⇒ 25 x =  2250 - 1350            

⇒ 25 x =  900          

⇒ x = [tex]\frac{900}{25}[/tex]          

⇒ x =36

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Answer:

$3867.80

Step-by-step explanation:

f(x)=a(1+r)^{x}

f(x)=exponential growth function

a=initial amount

r=growth rate

{x}=number of time intervals

so let x=years

start amount is 1,500

1,500(1+r)^5=2100

(r+1)^5= 7 /5

((r+1)5) ^1 /5 =( 7 /5 ) ^1 /5

r=0.06961

which is rounded 7 percent growth rate

2024-2010=14 years

1,500(1+0.07)^{14}=

3867.801225

Now round cause it's money

$3867.80

Answer:

12.50

Step-by-step explanation:

i think

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Answer:

Step-by-step explanation:

Answer:

49.6 minutes to create 308 bolts

Step-by-step explanation:

hope this helps :)

Answer:

The equations are;

4(2x + 5) = 3(2x + 8)

x = 2

Perimeter of each shape is 36

Step-by-step explanation:

Mathematically;

The perimeter of a square is 4L

while the perimeter of an equilateral triangle is 3L

where L represents the lengths of the sides

Mathematically, from what we have in the question, since the perimeter are equal;

4(2x + 5) = 3(2x + 8)

8x + 20 = 6x + 24

8x-6x = 24-20

2x = 4

x = 4/2

x = 2

The side of the square will measure;

2(2) + 5 = 9

Its perimeter is 4(9) = 36

The side of the triangle will measure

2(2) + 8 = 12

Its perimeter will be 3(12) = 36

Answer:

A

Step-by-step explanation:

I hope this is correct and have a great day

Step-by-step explanation:

cross product. Ise the butrerfly or cross and bones method. Multiply -4 and 49. Put that in the numerator. Then multiply 7 and 16. Put that in the denominator. Then reduce if u can.

[tex]Answer:\ S=96\sqrt[4]{x^9}[/tex]

Step-by-step explanation:

[tex]\displaystyle\\(4x)^\frac{3}{2}=\\\\ (2^2x)^\frac{3}{2} =\\\(2^2)^\frac{3}{2} x^\frac{3}{2} =\\\\2^\frac{2*3}{2} x^\frac{3}{2} \\\\2^3x^\frac{3}{2}=\\\\8x^\frac{3}{2}[/tex]

Thus,

[tex]S=8x^\frac{3}{2} *12x^\frac{3}{4}\\\\ S=8*12x^{\frac{3}{2} +\frac{3}{4}} \\\\S=96x^\frac{3*2+3}{4} \\\\S=96x^\frac{6+3}{4} \\\\S=96x^\frac{9}{4} \\\\S=96\sqrt[4]{x^9}[/tex]

Answer:

you're right

Step-by-step explanation:

when a slope is equal to 0 that makes it undefined

Answer:

1/2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define

(2x - 2y)/x

x = -4

y = -3

Step 2: Evaluate

Answer:

d

Step-by-step explanation:

Joe bidenisapedophi and likes little children recomend u stay away from the freak

The two latches make known the fact that this is an isosceles triangle. Here, x is the base angle. There are two base angles in isosceles triangles. Base angles have the same measure. This explains the reason for 2x in the equation below.

Here is the set up:

x + x + 32 = 180

2x + 32 = 180

2x = 180 - 32

2x = 148

x = 148/2

x = 74

The value of x is 74 degrees.

Answer:

Answer the first choice.

Step-by-step explanation:

Given

Points (-2,6) and (0,2)

y2 = 6

y1 = 2

x2 = - 2

x1 =0

m = (y2 - y1)/(x2 -x1)

Solution

m = (6 - 2)/(-2 - 0)

m = 4 / - 2                 <<<< ===== Answer..

m = - 2

Remark

If you know what the formula to use is, it always helps to write down your givens. The solution is much easier.

Answer:

The main difference between a vascular and a non-vascular plant is that a vascular plant has vessels that can carry food and water to all the other parts of the plant. the arrangements of the cell in a non-vascular plant is also a lot simpler.

Step-by-step explanation:

I would classify the plant as vascular because vascular plants tend to be really tall and large in comparison to non-vascular plants.

Answer:

x = 18/5

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define equation

5x + 2 = 20

Step 2: Solve for x

Step 3: Check

Plug in x into the original equation to verify it's a solution.

Here we see that 20 does indeed equal 20.

∴ x = 18/5 is a solution to the equation.

Answer:

y=4x-18

Step-by-step explanation:

y-2=4(x-5)

y-2=4x-20

y=4x-18