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amid [387]
3 years ago
9

Which of the following sets of values correctly completes the t-chart for the equation y = 2x2 - 1.

Mathematics
1 answer:
natali 33 [55]3 years ago
7 0

Answer:

The sets of values that correctly completes the t-chart are:

7, -1, 7

Hence, option B is true.

Step-by-step explanation:

Given the equation

y = 2x² - 1

FOR x = -2

substitute x = -2 in the equation

y = 2x² - 1

y = 2(-2)² - 1

y = 8 - 1

y = 7

FOR x = 0

substitute x = 0 in the equation

y = 2x² - 1

y = 2(0)² - 1

y = -1

FOR x = 2

substitute x = 2 in the equation

y = 2x² - 1

y = 2(2)² - 1

y = 8 - 1

y = 7

Thus, the t-chart becomes:

x              y

-2            7

0             -1

2              7

Thus, the sets of values that correctly completes the t-chart are:

7, -1, 7

Hence, option B is true.

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If the total number of marbles is 102, Mark has 20 marbles while Don has 82 marbles.

To answer this word problem, read and understand first the problem.

"Don has 2 more than 4 times the number of marbles Mark has."

Out of this statement, we can come up with the expression,

Don = 2 + (4 x Mark)     (equation 1)

Next, the total number of marbles they have is 102.

Don + Mark = 102     (equation 2)

From this expression, if we subtract the number of marbles Mark has from the total number, we can get the number of marbles Don has.

Don = 102 - Mark    (equation 3)

Equating the 1st and 3rd equation,

Don = 2 + (4 x Mark) = 102 - Mark

2 + (4 x Mark) = 102 - Mark

let x = Mark's

2 + (4x) = 102 - x

4x + x = 102 - 2

5x = 100

x = 20

Mark has 20 marbles.

Meanwhile, use either the 1st or 3rd equation to know the number of marbles Don has.

Don = 102 - Mark    (equation 3)

Don = 102 - 20

Don = 82

For more examples of mathematical expressions to solve word problems:, brainly.com/question/13818690.

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\boxed{Option \ A}

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