I'm desperate, and need help, this stuff has me stuck​

Answer:

y-intercept = -4

Step-by-step explanation:

equation of a line: y=mx+b

two points given are (5, -6.5) and (-12, 2)

first we can easily find value of m or the slope, by using the slope formula. the value of m=-0.5.

formua to find m: [tex]\frac{2-(-6.5)}{-12-5}[/tex]= -0.5

to find the value of b (the y-intercept), we need to plug in a y and x value, we are given 2 ordered pairs, you can use either one and plug x-value in for x and the y-value in for y.

if i plug in (5, -6.5), my equation looks like this: -6.5=5(-0.5)+b

then you just solve for b and it turns out to be -4.

The solution is -4

The y intercept of the line passing through the points

P ( 5 , -6.5 ) and Q ( -12 , 2 ) is -4

What is an Equation of a line?

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

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

Given data ,

Let the equation of line be represented as A

Now , the value of A is

Let the first point be P = P ( 5 , -6.5 )

Let the second point be Q = Q ( -12 , 2 )

Now , the slope of the line between 2 point is given by

Slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substituting the values in the equation , we get

Slope m = ( 2 + 6.5 ) / ( -12 - 5 )

Slope m = - 8.5 / -17

Slope m = -1/2

Slope m = -0.5

Now , the equation of line is given as

y - y₁ = m ( x - x₁ )

Substituting the values in the equation , we get

y - ( -6.5 ) = -0.5 ( x - 5 )

On simplifying the equation , we get

y + 6.5 = -0.5x + 2.5

Subtracting 6.5 on both sides of the equation , we get

y = -0.5x - 4

The equation is of the form y = mx + b where m is the slope and b is the y-intercept

Therefore , the y intercept of the line is -4

Hence , the y intercept of the line A is -4

To learn more about equation of line click :

https://brainly.com/question/14200719

#SPJ2

Answer:

29 mints OK. O that's v the answer all

Answer:

D.  9(3.1416)

Step-by-step explanation:

Answer:

The light blue/greenish one that says T=PV/K or Greeland

Step-by-step explanation:

We can make the equation more simplier by multiplying both sides by P to remove fractions.

It would become VP=KT

The only answer with VP or PV is B, or the T=PV/K

also, to isolate T, divide the VP=KT by K on both sides to isolate T.

VP/K=T

Answer:

x=-9

Step-by-step explanation:

Answer:

$700 for 35 people but if you want to add the fee it will be $850

Answer:

Step-by-step explanation:

Let the amount of pineapple juice be x quarts, the concentration of juice is as following equation:

Answer:

3

Step-by-step explanation:

7.5 - 1.5 x 3

7.5-4.5

3

Answer: 55% of the seats in the theater were filled by the 6th graders on the trip.

Step-by-step explanation:

Given: Total seats = 3100

Seats vacant=  1395

Seats occupied by 6th graders = 3100-1395 = 1705

The percentage of the seats in the theater were filled by the 6th graders on the trip = [tex]\dfrac{\text{Seats occupied by 6th graders}}{\text{Total seats}}\times100[/tex]

[tex]=\dfrac{1705}{3100}\times100\\\\= 55\%[/tex]

Hence, 55% of the seats in the theater were filled by the 6th graders on the trip.

Answer:

the correct answer is 40x-16

Step-by-step explanation:

here,

=4(10x-4)

=40x-16

Answer:

6/25

Step-by-step explanation:

Answer:

120

Step-by-step explanation:

6*5*4=120 and boom that’s your answer

Answer:I think it’s B

Step-by-step explanation:

If I get this wrong i’m sorry

Answer:

what do you actually wanna say?

Answer:

THE SMALLEST FORMS:

- smallest prism ---> the cube with all sides 2 ==> the volume is 2*2*2 = 8 cm^3

- smallest pyramid number one ---> the pyramid with base sides 2 and the height also 2 ==> the volume is (1/3)*2*2*2 = 8/3 cm^3

- smallest pyramid number two ---> the pyramid with base sides 2 and the lateral sides also 2 ==> the radius of the base is sqrt(2) ==> [pyramid_height]^2 = [lateral_side]^2 - [base_radius]^2 = 2^2 - sqrt(2)^2 = 4 - 2 = 2 ==> pyramid_height = sqrt(2) ==> the volume is (1/3)*2*2*sqrt(2) = 4*sqrt(2)/3 cm^3

- smallest cylinder --> the cylinder of diameter 2 and height also 2 ==> the radius is diameter/2 = 2/2 = 1 ==> the volume is pi*(radius^2)*height = pi*(1^2)*2 = pi*1*2 = 2*pi cm^3

The lesser volume is the volume of the smallest pyramid number two. ==> it's wax cost is approximately 0.0075 * 4 * 1.42 / 3 $ per candle = 0.014 $ per candle ==> the total cost  per candle is approximately 0.014 + 1.6 = 1.614 $ per candle.

THE BIGGEST FORMS:

- biggest prism ---> the cube with all sides 10 ==> the volume is 10*10*10 = 1000 cm^3

- biggest pyramid number one ---> the pyramid with base sides 10 and the height also 10 ==> the volume is (1/3)*10*10*10 = 1000/3 cm^3

- biggest pyramid number two ---> the pyramid with base sides 10 and the lateral sides also 10 ==> the radius of the base is 5*sqrt(2) ==> [pyramid_height]^2 = [lateral_side]^2 - [base_radius]^2 = 10^2 - [5*sqrt(2)]^2 = 100 - 50 = 50 ==> pyramid_height = 5*sqrt(2) ==> the volume is (1/3)*10*10*5*sqrt(2) = 500*sqrt(2)/3 cm^3

- biggest cylinder --> the cylinder of diameter 10 and height also 10 ==> the radius is diameter/2 = 10/2 = 5 ==> the volume is pi*(radius^2)*height = pi*(5^2)*10 = pi*25*10 = 250*pi cm^3

The bigger volume is the volume of the biggest prism (the side-10 cube). ==> it's wax cost is  0.0075 * 1000 $ per candle = 7.5 $ per candle ==> the total cost per candle is 7.5 + 1.6 = 9.1 $ per candle

The range of the cost is the interval [1.614 ; 9.1]. Depending on other prices on the market,  you greed, and other factors you will put a profit margin: maybe 20% of the cost ; maybe a fixed margin like 5$. So the price per candle will be the cost per candle plus the profit margin per candle.

If I were to choose the base length I would have to say 6 because it is the arithmetic mean between 2 and 10: (2+10)/2 = 12/2 = 6. 2cm is too small, and 10cm is too big.

Also if you start with a rectangle of length 10 and width 2 and you have to find the rectangle with the largest area by being allowed to increase the width and decrease the width with the same quantity you get this:

Area of the new rectangle is (10-x)(2+x) = -x^2 + 8x + 20 = -x^2 + 8x -16 + 36 = -(x^2 - 2*x*4 + 4^2) + 36 = -(x-4)^2 + 36 = 36 - (x-4)^2 which has the maximum value of 36 because out of 36 you subtract a positive value. You get the maximum when (x-4)^2 = 0 ==> x-4=0 ==> x=4

The new length is 10-4=6 and the new width is 2+4=6.

Next I would choose the height of the prism (I like prisms :P) to be [the_golden_ratio]*[base_side] which is approximately 1.618 * 6 = 9.708 which I would round up to 10. ==> The volume would be 6*6*10 = 360 cm^3. ==> the cost would be 0.0075*360 + 1.6 = 2.7 + 1.6 = 4.3 $ per candle. And because my candle is so perfect I'd put the profit margin to be 5.69 $ per candle so I can proudly show it in the store with the price of 4.3 + 5.69 = 9.99 $ :)

Answer: 1.25

Step-by-step explanation: you gotta divide 50 and 40.

Answer:

a=31

Step-by-step explanation:

1/2(a-9)=11

a-9=22

a=22+9

a=31

Step-by-step explanation:

1)On the table for Yards put 3 and 5. Then put Feet as 6, 12 and 18.

2)On 2 put [tex]\frac{6}{2} \frac{9}{3} \frac{12}{4} \frac{15}{5}[/tex]

Each ratio is equal to 3:1

3)The equation that describes the relationship is x:y

4)The equation that describes the relationship is 3:50

Answer:

20

Step-by-step explanation:

20 is the greatest factor because:

20*5=100

20*1=20

Answer:

I think its

|x| = 5

Step-by-step explanation:

Answer:

|x|<5

Step-by-step explanation:

Given:

The graph of an inequality.

To find:

The inequality.

Solution:

From the given graph it is clear that the boundary line is a vertical line parallel to y-axis at the distance of 3 units from the left of y-axis. So, the equation of boundary line is

[tex]x=-3[/tex]

Now, the shaded portion lies on the left of the boundary line. It means the values which are less than 0 are included in the solution set.

The boundary line is a dotted line. So, x=-3 is not included in the solution set.

So, the required inequality is

[tex]x<-3[/tex]  

Therefore, the correct option is B.

Answer:

I am pretty sure the answer is 17

Answer:

 C.  x ≥ 5

Step-by-step explanation:

You must meet both conditions:

 (x -5) ≥ 0 and (x +2) ≥ 0

For the first condition, ...

 x ≥ 5 . . . . add 5 to both sides

For the second condition ...

 x ≥ -2 . . . . subtract 2 from both sides.

Since both conditions must be met, we must have ...

 x ≥ 5

i hope this helps :)

Answer:

14.50

Step-by-step explanation:

hope this helps

The total cost of Kevin's purchase including tax would be $15.66

Calculating the cost of each item :

Cost of hamburgers = 5 × $1.40 = $7.00

Cost of Sodas = 6 × $1.25 = $7.50

The total cost of Kevin's purchases excluding tax is the sum of the items :

Tax paid on purchase :

Therefore, The total amount paid including tax is ($14.50 + $1.16 = 15.66

Learn more : https://brainly.com/question/18796573

Answer:

Step-by-step explanation:

g(x) would be

8

4

2

0

- 2

Answer:

-5 and -9 are the constants, can also be written -14