I need help finding the slope, The y-intercept, and the equation??

Answer:

Data that we know:

He drove 504km in each direction.

Going, the average speed was 14km/h more than returning.

The total trip lasted 21 hours.

Ok, to solve this first:

Let's define the variables:

Sg = Average speed when going.

Sr = Average speed when returning.

Then we can write one of our relationships as:

Sg = Sr + 14km/h.

Now, you can recall the relation:

Time = Distance/speed.

Then we can write the equation that represents the total time of the travel as:

504km/Sg + 504km/Sr = 21h

Now we can replace the Sg by Sr + 14km/h, and get:

504km/(Sr + 14km/h) + 504km/Sr = 21h.

Now we must multiplacate by each denominator, in order to remove them:

504km*Sr + 504km*(Sr + 14km/h) = 21h*Sr*(Sr + 14km/h)

Sr*1008km + 7056km^2/h = 21h*Sr^2 + 294km*Sr

Now we can write a cuadratic equation, where i will ignore the units so it is easier to read, as:

21*Sr^2 -714*Sr - 7056 = 0

The solutions are given by the Bhaskara formula:

[tex]Sr = \frac{714 +- \sqrt{714^2 - 4*21*(-7056)} }{2*21} = \frac{714 +- 1050}{42}[/tex]

We have two solutions, one negative and one positive, and because Sr represents an average speed, it must be a positive number, then we choose the positive solution:

Sr = (714 + 1050)/42  km/h = 42km/h

Now we have the average speed for the returning, with this we can find Sg.

Sg = Sr + 14km/h = 42km/h + 14km/h = 56km/h.

Answer:

Slope-int form: y = 3x+5

Standard form: y - 3x = 5.

Step-by-step explanation:

(reminder: slope-intercept form is expressed as y=mx+b, and standard form is expressed as ax+bx=c.)

Since the slope is 3, the coefficient of x is also 3, which makes the equation y=3x.

But the y coordinate of the equation at x = -2 is -6, so we need to add 5 to the end of the equation, leaving you with:

y=3x+5.

To convert it to standard form, subtract 3x from both sides:

y - 3x = 5.

I hope this helped you.

Answer: (-1,4) is the answer

Answer:

8/35

Step-by-step explanation:

4/5x2/7

4x2=8

5x7=35

Hope this helps. Plz give brainliest.

Answer:

8/35 Good luck sis ;)

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

im a 100% sure it is A

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Answer:

yes it is a

Step-by-step explanation:

hahahah i dont know how to explain this i just guessed lol

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[tex] {k}^{2} + 8k + 22 = 6 [/tex]

Subtract sides 6

[tex] {k}^{2} + 8k + 22 - 6 = 6 - 6 [/tex]

[tex] {k}^{2} + 8k + 16 = 0[/tex]

[tex] ({k + 4})^{2} = 0[/tex]

Thus ;

[tex]k + 4 = 0[/tex]

Subtract sides 4

[tex]k + 4 - 4 = - 4[/tex]

[tex]k = - 4[/tex]

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Answer:

B= x + 5

C= 3x + 7

D= 5 * 7 =35 or 7 + 5= 12

A?= 3x^2 or 3x + x =4x

Step-by-step explanation:

Answer:

A: The data does represent a function because there are no repeating x values. a function can have repeating y values but cannot have repeating x values. Also, there is one value of y for every value of x.

B: f(x)=1/2x

f(x)= 3x-10

f(8)=1/2(8) ----> 4

f(8)=3(8)-10 ----> 14

f(x)=3x-10 has a greater value when x=8

C:  f(x)=1/2x

f(x) = 80

80=1/2x  

80*2=x

x=160

Step-by-step explanation:

The data in the table is a function. The relation has f(x) = 3x - 10 has greater value when x = 8. And the value of x is 30 when f(x) = 80.

A function is a relation from a set A to a set B where the elements in set A only maps to one and only one image in set B. No elements in set A has more than one image in set B.

Part A :

The table has the data values,

x : 2  4  6  8

y : 1  2  3  4

The given data represents a function, because elements in the domain (2, 4, 6 and 8) has only one image in the Range (1, 2, 3 and 4).

Part B :

f(x) = 3x - 10

x = 2, then f(x) = y = -4

x = 4, then f(x) = y = 2

x = 6, then f(x) = y = 8

x = 8, then f(x) = y = 14

The relation f(x) = 3x - 10 has the greater value when x = 8.

Part C :

f(x) = 80

3x - 10 = 80

3x = 80 + 10

3x = 90

x = 90 / 3

x = 30

Hence the relation in the table is a function. The second relation f(x) = 3x - 10 has the greater value when x = 10 after computing the values of both the relations.

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Answer: No

Step-by-step explanation:

There is no slope

It is not possible to write the equation of the line passing through (0, -2) and (0, 5), because slope is not defined.

Slope of a line is the ratio of the change in y coordinates to the change in the x coordinates of two points given.

Slope can also be defined as the tangent of the angle that the line is making with the positive X axis.

Given that a line passes through two points (0, -2) and (0, 5).

Both the points are on Y axis.

Therefore the line is along the Y axis.

Slope of a line along the Y axis is not defined since the Y axis is making 90° with the X axis and tan 90° is the slope, which is not defined.

Or in other words, taking the given points,

slope = change in y coordinates / change in x coordinates

         = (5 - -2) / (0 - 0)

         = 7 / 0, not defined.

Hence the equation of the line along the Y axis cannot be written in the slope intercept form as the slope is undefined.

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Step-by-step explanation:

apply distance formula

Answer:

-1.88

Step-by-step explanation

Put both terms in decimal form. -2.63 is already in decimal form, so, you only have to put 3 1/4 in decimal form.

So, -2.63+0.75=-1.88

Answer: you would put x and y in their places

and solve it, remember, Ax+By+C=0

but in this case its Dx+Ey+F

The first arrow goes from 0 to 3, which is 3 units.

The second arrow goes from 3 to 6, which is another 3 units.

The total units is 3 + 3 = 6

This means you have 2 different sets of 3, which can be modeled by 2 x 3.

The second choice is correct.

Answer:

x = -1

Step-by-step explanation:

20x - 5(6x + 4) = 4x - 6

20x - 30x - 20 = 4x - 6

-10x - 20 = 4x - 6

-10x - 4x = -6 + 20

-14x = 14

x = -1

Answer:

Step-by-step explanation:

16/5

5*3=15+1=16

16/5

Answer:

The roller coaster is 24 feet above the ground after the first drop.

Step-by-step explanation:

12 feet + 102 feet - 90 feet = 24 feet.

Answer:

The roller coaster is 24 feet above the ground after the first drop.

Step-by-step explanation:

First, we will find the increase. I don't think it's any of the 3 formulas listed.

The formula I'll be using is Increase = Increased value - Original value

Let x be increase.

x = $7.50 - $5.75

x = $1.75

We then divide the increase by the original value.

Percent of increase = Increase/Original value

Let x be percent of increase.

x = $1.75/$5.75

x is approximately 0.30437

To turn a decimal into a percent, multiply it by 100.

0.30437 x 100 = 30.437

30.437 can be rounded to 30.4

The percent of increase at the end of week one is 30.4%

We will first need to find the percent of decrease.

The formula will be Decrease = Original value - Decreased value

Let x be decrease

x = $7.50 - $5.75

x = $1.75

We then divide the decrease with the original value.

Percent of decrease = Decrease/Original Value

Let x be percent of decrease

x = $1.75/$5.75

x is approximately 0.30437

To turn a decimal into a percent, multiply it by 100.

0.30437 x 100 = 30.437

30.437 can be rounded to 30.4

The percent of decrease at the end of week one is 30.4%

No because the full percent of increase at the end of week one is 100% + 30.4% so that would be like a 130.4% increase while at the end of week two, it would be 130.4% - 30.4% and that would lead us back to 100%.

Answer:

x=5

Step-by-step explanation:

u should know this not that hard to do

Answer:

d = 4

Step-by-step explanation:

First, we take the equation 2d = 8

In order to find out what the value of 9 must be in order to make this equation true, we must isolate the variable. That can be done by doing the opposite operation. In this case, the opposite operation would be division since d is being multiplied by 2 to get 8.

So, we have to divide both sides of the equation by 2:

2d = 8

2      2

2d divided by 2 is equal to d.

And 8 divided by 2 is equal to 4.

Therefore, d is equal to 4.

Hope this helps!!

Answer:

d=4

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Answer:

The relationship is 10+5(r)

Step-by-step explanation:

im not sure but this might be it or at least might help you find your answer:)

Answer:  Oldi gives the best value of money.

Step-by-step explanation:

Lidal's deal : 9 rolls for £3.51

Oldi's deal : 4 rolls for  £1.52

Cost per roll = [tex]\dfrac{\text{total cost}}{\text{Number of rolls}}[/tex]

So,

For Lidal, Cost per roll = [tex]\pounds\dfrac{3.51}{9}=\pounds0.39[/tex]

For Oldi', Cost per roll = [tex]\pounds\dfrac{1.52}{4}=\pounds0.38[/tex]

Clearly,  [tex]\pounds 0.39> \pounds 0.38[/tex]

Hence, Oldi gives the best value of money.

Answer:

No

Step-by-step explanation:

Answer:

yes because it is being multiplied by N

Answer:

73

Step-by-step explanation:

Answer:

$32.00

Step-by-step explanation:

100-36.12 = 67.84 - That's how much she paid for 2 after tax.

So let's eliminate the wrong answers:

63.76*2 is way over 100 so it's not that

33.92*2 is 67.84, but the question asks before taxes so it's not that

32.16*2 is 64.32, but there is tax so we must multiply it by 1.06. 64.32*1.06 is 68.18

32*2 is 64. 64*1.06 is 67.84. There for the correct answer is $32.00