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valentina_108 [34]
3 years ago
11

The table shows the breakdown of the points scored in last week's basketball game.

Mathematics
1 answer:
o-na [289]3 years ago
3 0

Answer:

a. Total field goal points scored in the first two quarters, in simplest linear expression form is: 3x - 4.

b. The total points scored in the game, in simplest linear expression form is: 6x - 1.

a. The goal points scored in the first two quarters are expressed in linear forms as: 2x - 6 and x + 2.

The total field goal points in the first two quarters = 2x - 6 + x + 2

Add like terms

3x - 4

b. The total points scored in the game = 2x - 6 + x + 2 + 2x + x - 6 + 9

Add like terms and simplify the expression

2x - 6 + x + 2 + 2x + x - 6 + 9

6x - 1

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

Using the remainder theorem to divide f(x) by (x - h)

Evaluate f(h) and if equal to 0 then (x - h) is a factor

f(- 3) = (- 3)³ - 7(- 3)² + 36 = - 27 - 63 + 36 ≠ 0

f(- 2) = (- 2)³ - 7(- 2)² + 36 = - 8 - 28 + 36 = 0

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f(2) = 2³ - 7(2)² + 36 = 8 - 28 + 36 = 16 ≠ 0

Hence (x + 2) is a factor of f(x)

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Step-by-step explanation:

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3x + 6 = 48 (alternate angles are equal)

- 6

3x. = 42

÷3

x = 14 degrees

180-48 - 2y + 5y-9 =180

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3y = 57

÷3

y = 19 degrees

Explanation:

To find the last angle on the top straight line, do:

180 - (the 2 given angles).

So, 180 - (3x + 16, which is 48 due to alternate angles being equal). Then, minus the 2y.

(180 - 48 - 2y) & simplify => 132 - 2y

This gives you the equation for the missing angle on our top straight line.

Thus, co-interior angles add to 180. So, we add the new equation (132 - 2y) to 5y - 9.

Simplify

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