Three workers arrive at work 15 minutes late, at a cost of $11 hour.

Answer:

5.5

Step-by-step explanation:

The y-intercept of the line graph shown above is the value of the point where the line cuts the y-axis. The y-intercept of this graph is between 5 and 6. However, we can get an accurate value by calculation. This can be done by generating an equation of the line.

Recall the slope-intercept equation, [tex] y = mx + b [/tex], where m = slope of the line, b = y-intercept.

To generate the equation of the line, first find slope using the points (-2, 7) and (6, 1):

[tex] slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{1 - 7}{6 -(-2)} = \frac{-6}{8} = -\frac{3}{4} [/tex].

Substitute m = ¾ and the coordinates (6, 1) into the slope-intercept equation to find the y-intercept (b):

[tex] y = mx + b [/tex]

[tex] 1 = -\frac{3}{4}(6) + b [/tex]

[tex] 1 = -\frac{18}{4} + b [/tex]

[tex] 1 = -4.5 + b + 4.5 [/tex]

[tex] 1 + 4.5 = -4.5 + b + 4.5 [/tex]

[tex] 5.5 = b [/tex]

Therefore, b = y-intercept = 5.5.

To generate the equation of the line, plug in the values of m and b, we would have:

y = ¾x + 5.5

The y-intercept of the line of the graph is 5.5.

Answer:

x

__

140

Step-by-step explanation:

all i could get sorry

Answer:

13

Step-by-step explanation:

5x + 25 = 7x - 1

-7x. -7x

-2x + 25 = -1

-25. -25

-2x = -26

-2. -2

x = 13

Answer:

-4.9

Step-by-step explanation:

The answer is -4.9 because:

1) As the number line increases, the numbers are also increasing even though  it seems like they are decreasing.

2) The number that comes right after -5 is -4.9

Hope this helps! :D

6y^2 + 6y + 2y + 2 = 6y^2 + 8y + 2

The way you do this is basically multiplying the values in the brackets with 6y, and then adding that to the same values multiplied by 2.

Answer:

$44

Step-by-step explanation:

So this original price is 110 dollars, with a 40% discount.

1) You want to change 40% to a decimal to be able to multiply. this is 40/100=0.4

2) With that in mind you can then do 110x0.4=44

That means the new discounted price is $44.

Answer:

t ≤ 4

Step-by-step explanation:

3 X 4 = 12  or any number greater than 4

Answer:

I believe [tex]\lim_{x \to a} f(x)[/tex] also equals 0.

Step-by-step explanation:

We know that g(x) has to be greater than or equal to 0. That means f(x) has to be smaller than g(x) or equal to 0.

If we plug in any value of x, f(x) will be positive because of the absolute value. The only way we are going to get f(x) smaller than g(x) or equal to g(x) is to have very small fractions.

Therefore, if [tex]\lim_{x \to a} g(x)=0[/tex], then [tex]\lim_{x \to a} f(x)=0[/tex] because f(x) must be smaller or equal to 0 as well.

Answer:

[tex]\displaystyle{ \lim_{x\to a}f(x)=0[/tex]

Step-by-step explanation:

The other user posted a great answer, but I would like to show you a more mathematical way!

We have [tex]|f(x)|\leq g(x)[/tex].

By the definition of absolute value, this is the same as saying:

[tex]f(x)\leq g(x)\text{ and } -f(x)\leq g(x)[/tex]

For the right, we can divide both sides by -1 to acquire:

[tex]f(x)\leq g(x)\text{ and } f(x)\geq- g(x)[/tex]

We can now combine them. This yields:

[tex]-g(x)\leq f(x)\leq g(x)[/tex]

Now, we can use the Squeeze Theorem (a.k.a. Pinch or Sandwich Theorem). The Squeeze Theorem posits that if we have:

[tex]g(x)\leq f(x)\leq h(x)[/tex]

And:

[tex]\displaystyle{ \lim_{x \to c} g(x)= \lim_{x \to c} h(x)=L}[/tex]

Then the following must be true:

[tex]\displaystyle{ \lim_{x \to c} f(x)=L[/tex]

We have:

[tex]-g(x)\leq f(x)\leq g(x)[/tex]

And we know that:

[tex]\displaystyle{ \lim_{x \to a} g(x)=0[/tex]

Then it follows that:

[tex]\displaystyle{ \lim_{x \to a} -g(x)=- \lim_{x \to a} g(x)=0[/tex]

Therefore, by using the Squeeze Theorem, we can conclude that:

[tex]\displaystyle{ \lim_{x\to a}f(x)=0[/tex]

And we're done!

Answer:

c

Step-by-step explanation:

c because

Answer: y= -2x + 3

Step-by-step explanation:

Answer:

p = 15/40

Step-by-step explanation:

Since the total number of marbles is 40, that is our size of the sample. there are 16 red ones on that sample, so the probability of extracting a red marble from the box is given by the ratio of successes divided the total number of marbles:

p = 15/40

Answer:

3.99

Step-by-step explanation:

2.19x2=3.99

20.34-4.39=15.96

15.96 divided by 4 =3.99

Answer:

A' (4,4), B' (5,7), C' (9,7)

Step-by-step explanation:

Answer:

the slope is m= [tex]\frac{1}{4}[/tex] and the y-intercept is: (0, -5)

Step-by-step explanation:

hope this helps! <3

Answer:

2,494

Step-by-step explanation:

if he put 2,494pieces together you repeated the same question

Answer:

your answer is A

Step-by-step explanation:

Answer:

Option (B)

Step-by-step explanation:

Photo given in the picture has dimensions as,

Length = 4 in.

Width = 5 in.

This photo is the reduced form of a photo having dimension 16 by 20 inch print.

Since scale factor of an image is given by,

Scale factor = [tex]\frac{\text{Dimension of the image}}{\text{Dimension of the original picture}}[/tex]

                    = [tex]\frac{4}{16}[/tex]

                    = [tex]\frac{1}{4}[/tex]

Therefore, scale factor used to reduce the picture is [tex]\frac{1}{4}[/tex].

Option (B). will be the correct option.

Answer:

it's 4

Step-by-step explanation:

it's 1:4 cause 16/4 is 4 so the scale factor is 4

Answer:

here we go.....

Step-by-step explanation:

9+5 equals14 5 +2 equals 7

14 divided by 7 equals 2

hope you get it correct

Answer:

44 hours

Step-by-step explanation:

just do 22 x 2

Answer:

y-intercpet is In analytic geometry, using the common convention that the horizontal axis represents a variable x and the vertical axis represents a variable y, a y-intercept or vertical intercept is a point where the graph of a function or relation intersects the y-axis of the coordinate system. As such, these points satisfy x = 0.

Answer:

78 people were on the boat to begin with.

Step-by-step explanation:

Moving backwards is the way to solve this question.

74 - 22 = 52

52 + 26 = 78

And to prove the answer is correct.....

78 - 26 = 52

52 + 22 = 74

Answer:

A. X = 6.

Step-by-step explanation:

First, combine like-terms. Combine 3X and 2X to get 5X.

Next, add five to both sides to get rid of the five on the other side. This should get you 30.

Finally, divide by 5, you should get X = 6.

Answer:

Step-by-step explanation:

(1-2*1) (3*2+4*-1*1- 1*2)

=-1 (6+4-1-2)

-1*7

-7

Answer:  (0,0)

Step-by-step explanation:

The only integer"s" that both add and subtract to the same value are 0 "and" 0.  Properly stated, the only integer that can be added to itself and subtracted from itself with the same outcome is 0.

Of course, k will also be 0

So this system of equation works out to be

0 + 0 = 0

0 - 0 = 0

Answer:

for the first question

solve for t:t= square root of 2da/a (2da over a)

Solve for a : a= 2d/t squared

Solver for d: d=t squared /2(over 2)

Step-by-step explanation:

Answer:

Read the explanation

Step-by-step explanation:

Go to desmos (website) and open the Graphic Calculator (or you can use any graphic calculator) . Then in one of the text boxes on the side write A(-6,2) and it'll plot it. Or make a paper graph (Make sure the lines are spaced out correctly) and go to -6 on the x axis and 2 on the y axis, the point in which those 2 intecept is the plotted dot. Or print a graph and plot it there, both work.

Answer:

78.5

Step-by-step explanation: