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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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Using the tangent on the stick with shadow:

tan(θ) = \frac{1}{0.6}

Using the tangent on the building:

tan(θ) = \frac{h}{25}

⇒ h = 25 · tan(θ)

       = 25 · \frac{1}{0.6}

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Mathematics with applications in the management, Natural, and Social Sciences Twelfth edition
Monica [59]

Answer:

In 2015 the both populations were the same and from that year the population of millennials surpassed the population of boomers

Step-by-step explanation:

\left \{ {{10x+13y = 1125} \atop {-2x+7y = 495}} \right.

x=14

Boomer: 10(14)+13y=1125

               140+13y=1125

                       13y=1125-140

                       y= 985/13

                       y= 75.77 (75.77 millions of boomers in 2014)

Millenials: -2(14) +7y = 495

                  -28 +7y = 495

7y= 495+28

y= 523/7

y=74.71  (74.71 millios on millenials in 2014)

In 2014 the population of boombers were still greater than the population of millennials

The solution of the system of equations will give us the point where the populations were equalized, and from that point the population of boombers will be less than that of the millennials.

Boomers: 10x+13y = 1125

                 y= (-10x +1125)/13

Millenials: -2x+7y = 495

                 y= (2x+495)/7

We match both expressions of "y"

(-10x +1125)/13 =(2x+495)/7

cross multiply:

(-10x +1125)*7 =(2x+495)*13

-70x + 7875 = 26x + 6435

we group similar terms:

7875 -6435 = 26x+70x

1440 = 96x

x= 1440/96

x= 15

In 2015 the both populations were the same and from that year the population of millennials surpassed the population of boomers

4 0
3 years ago
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