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musickatia [10]
3 years ago
6

What rule matches the function represented by the table? ​

Mathematics
1 answer:
Sliva [168]3 years ago
3 0

Let's try a line

y = mx + b

From (0,4):

4 = 0x + b

b = 4

So far we have

y = mx + 4

From (1,1)

1 = m(1) + 4

-3 = m

Our rule is y = -3 x + 4

Let's check the other points:

-3(-4)+4 = 12+4 = 16 good

-3(4)+4 = -12+4 = -8 good

-3(9) + 4 = -23  good

Answer: y = -3 x + 4

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Yesterday, Pablo had 4 4/9 quarts of iced tea, and Rosa had 3 5/12 quarts of iced tea.
Dima020 [189]

1. How much more iced tea did Pablo have than Rosa?

  • = 4 4/9 - 3 5/12
  • = 40/9 - 41/12
  • = 40/9 - 41/12
  • = (40 × 4)/(9 × 4) - (41 × 3)/(12 × 3)
  • = 160/36 - 123/36
  • = 37/36
  • = 37/36
  • = 1 1/36

Pablo has 1 1/36 quarts of ice tea more than Rosa.

2.  Pablo gave Rosa 15% of his iced tea today. How much iced tea do each of them have now? Write your answer in fraction form.

      Iced tea given

  • = 15% × 4 4/9
  • = 15/100 × 40/9
  • = 600/900
  • = 2/3

      Pablo iced tea

  • = 40/9 - 2/3
  • = 40/9 - (2 × 3)/(3×3)
  • = 40/9 - 6/9
  • = 34/9
  • = 3 7/9

      Rosa iced tea

  • = 41/12 + 2/3
  • = 41/12 + (2 × 4)/(3 × 4)
  • = 41/12 + 8/12
  • = 49/12
  • = 4 1/12

Pablo has 3 7/9 quarts of iced tea and Rosa has 4 1/12 quarts.

3 0
3 years ago
Expand and simplify 5(3y + 2) +6<br> ​
victus00 [196]

Hello !

5(3y + 2) + 6

= 5 \times 3y + 5 \times 2 + 6

= 15y + 10 + 6

= 15y + 16

3 0
2 years ago
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Which is a sketch of the cross section of a square pyramid that is cut parallel to its base? Describe the cross section.
Natasha_Volkova [10]
<em><u>d.</u></em>
<em>Square cross section </em>
<em>Also, the smaller pyramid created is similar to the big one.</em>
4 0
3 years ago
A number decreased by 3 squared
dalvyx [7]
Let x stand for the number.

x-3^2

Simplify. 

x-9

This cannot be simplified any more.

I hope this helped you!

Brainliest answer is always appreciated! 
6 0
3 years ago
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Find the solution of y=x+3 and y=2x+6
lisabon 2012 [21]

Answer:

x = 3 and y = 0

Step-by-step explanation:

To find the solution where you have two equations is called a System of Equations.

What you do is you notice there are two equations and the let both equations equal each other. We can do this because both equations start with a y. These "y" work like puzzles and you can connect the "x+3" and "2x + 6" together. Then solve for it. Here's what i mean,

y = x+3

y = 2x+6

Now connecting them,

x+3 = 2x+6

Subtract x from both sides

3 = x + 6

Subtract 6 from both sides,

x = -3

Now solve for y,

y = -3 + 3 = 0

So our solution is x = 3 and y = 0.

3 0
2 years ago
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