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s2008m [1.1K]
3 years ago
10

The table represents the function f (x) = 3x-1

Mathematics
1 answer:
Ann [662]3 years ago
8 0

Answer:

a=-16, b=11, c=23

Step-by-step explanation:

The function whose table is drawn is

f(x) = 3x - 1

To find the value of a, we substitute x=-5.

f( - 5) = 3( - 5)  - 1  \\ f( - 5) =  - 15 - 1 \\ f( - 5) =  - 16

\therefore \: a =  - 16

To find the value of b, we substitute x=4.

f(4) =3(4)  - 1  \\ f(4) = 12 - 1 \\ f(4) =  11

To find the value of c, we substitute x=8,

f(8) = 3(8) - 1 \\ f(8) = 24 - 1 \\ f(8) = 23

c = 23

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Answer:

  • 24 units

Step-by-step explanation:

According to the midsegment theorem, the length of each side of the formed triangle is the half the parallel side of DEF.

<u>So the perimeter is:</u>

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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In a basketball game, a regular basket was worth 2 points and a long-distance basket was worth 3 points. If there were 45 basket
-BARSIC- [3]

Answer:

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Step-by-step explanation:

There were 45 baskets, so

(1) r + l = 45

There were 96 points in the game, so

(2) 2r + 3l = 96

Solve equation (1) for l

                    l = 45 – r     Substitute the value for l in Equation (2)

2r + 3(45 – r) = 96      Remove parentheses

 2r + 135 - 3r = 96      Combine like terms

         -r + 135 = 96      Subtract 135 from each side

                  -r = -39      Multiply each side by -1

                  r = 39      Substitute the value of r in Equation (1)

           39 + l = 45        Subtract 39 from each side

                   l = 6

===============

Check:

(1) 39 + 6 = 45

         45 = 45

(2) 2×39 + 3×6 = 96

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                   96 = 96


4 0
4 years ago
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