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aleksley [76]
3 years ago
10

What can be concluded about the line represented in the table? Check all that apply.

Mathematics
2 answers:
Elina [12.6K]3 years ago
8 0

Answer:

  • The slope is 1/2
  • The points (-2,-5) and (8,0) are also on the line

Step-by-step explanation:

<u>According to the table there are ordered pairs:</u>

  • (-6, - 7), (2, - 3), (8, 0)

<u>Find the slope using two points:</u>

  • m = (- 3 - (-7)) / (2 - (-6)) = 4/8 = 1/2

<u>Use one point to complete the equation:</u>

  • y - (-7) = 1/2(x - (-6))
  • y + 7 = 1/2x + 3
  • y = 1/2x - 4

So the slope is 1/2 and the y-intercept is (0, - 4)

<u>Verify the points (-2, -5), (- 5, -2), (1, 10):</u>

  • -5 = 1/2(-2) - 4 ⇒ - 5 = - 1 - 4 ⇒ - 5 = - 5, yes
  • -2 = 1/2(-5) - 4 ⇒ - 2 = - 2.5 - 4 ⇒ - 2 = - 6.5, no
  • 10 = 1/2*1 - 4 ⇒ 10 = 0.5 - 4 ⇒ 10 = - 3.5, no

<u>Now, correct answer choices are:</u>

  • The slope is 1/2
  • The points (-2,-5) and (8,0) are also on the line
motikmotik3 years ago
6 0

The slope is 2.

The slope is 1/2.

The y intercept is 4.

The y intercept is 8

The points (-2,-5) and (8,0) are also on the line

The points (-5,-2) and (1,10) are also in the line.

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A charity organization had to sale 18 tickets to their fundraiser Just to cover necessary production cost.They sold each ticket
Harman [31]

A charity organization had to sale 18 tickets to their fundraiser Just to cover necessary production cost.They sold each ticket for $45.Let y represent the net profit in dollars when they have sold x tickets

Which of the following information about the graph of the relationship is given?

Choose 1 answer:

A

Slope and x-intercept

B

Slope and y-intercept

C

Slope and a point that is not an intercept

D

x-intercept and y-intercept

E

y-intercept and a point that is not an intercept

F

Two points that are not intercepts

Answer:

A. Slope and x-intercept

Step-by-step explanation:

We are told that each Ticket cost $45 , so the number of ticket sold should be multiplied by the cost of 1 ticket , Also; we were informed that x tickets were sold, this implies that the amount will be $45 multiplied by x , which is $45x. To find the profit (y) , then we must find the cost of 18 tickets which will give us the cost price and then subtract it from the selling price ($45x).

NOW:

Given that :

a charity organization had to sell 18 tickets

and one ticket cost for $45

Then 18 tickets = $45 × 18 = $810

Let y represent the net profit in dollars when they have sold x tickets

So : y = 45 x - 810

Relating the above equation with equation of a straight line  y = mx +c ,

where :

m and c = the numbers on the gradient line   ; &

y = slope

x =  intercept where the graph crosses y - axis

Thus; the information given is the :Slope and x-intercept

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musickatia [10]

Answer:

AB equals 13 and DE equals 7.

Step-by-step explanation:

In a parallelogram, the opposite sides are equivalent, so AB will equal CD which equals 13. Based on this rule, you can infer that BC = AE + ED. Since BC equals 23 and AE equals 16, ED would be 7.

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3 years ago
It takes machine A x hours to manufacture a deck of cards that machine B can manufacture in y hours. If machine A operates alone
nlexa [21]

Answer:

The expression that shows how long the two machines will operate simultaneously is:

\frac{y(100x-z)}{x+y}

Step-by-step explanation:

We know that:

x: hours to manufacture a deck of cards for machine A

y: hours to manufacture a deck of cards for machine B

z: hours that machine A operates alone

The number of decks manufactured only by machine A is:

\frac{z}{x}

So, the remaining decks are given by:

100-\frac{z}{x}=\frac{100x-z}{x}

Then, the combined rate of machines A and B would be:

\frac{1}{x} +\frac{1}{y} =\frac{x+y}{xy}

The work-rate formula is:

Amount= Rate \times Time

Hence, the time that the two machines work simultaneously is:

Time=\frac{Amount}{Rate}

Time=\frac{Amount}{Rate} =\frac{\frac{100x-z}{x} }{\frac{x+y}{xy} } ={\frac{100x-z}{x} \times \frac{xy}{x+y}=\frac{y(100x-z)}{x+y}

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What is the product of 4^4(4^-7)(4)?<br> A. 1/-16<br> B. 1/-8<br> C. 1/16<br> D. 1/8
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Answer:

C

Step-by-step explanation:

i used a calculator multiple times :)

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