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3 years ago

15

Which research questions would be the most effective in researching the effects of television on children? check all that apply.

what are the most popular television programs among different groups of children?how many hours each day does the average child spend watching television?how does watching television every day impact children's brains?

1 answer:

WINSTONCH [101]3 years ago

4 0

How does watching television every day impact the children's brains?
How do different television programs influence children's views about society?
Is there a relationship between children's physical fitness and their television viewing habits?
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Solve using any appropriate method. If the system has an infinite number of solutions, use set-builder notation to write

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$13.\ (x,y) = (-4,3)$

$14.\ No\ Solution$

$15.\ (x,y) = (-12,-32)$

$16.\ (x,y) = (3.75,6.25)$

$17.\ No\ Solution$

Explanation:

13)

$4x + 8y = 8$ ---- (1)

$5x + 7y = 1$ ------ (2)

Multiply equation by 5 and equation 2 by 4

$5(4x + 8y = 8)$

$4(5x + 7y = 1)$

$5 * 4x + 5 * 8y = 5 * 8\\4*5x + 4*7y = 4 *1$

$20x + 40y = 40$ ------ (3)

$20x + 28y = 4$ ------ (4)

Subtract equation 3 from 4

$(20x + 28y = 4) - (20x + 40y = 40)$

$20x - 20x+ 28y -40y= 4-40$

$-12y = -36$

Divide both sides by -12

$\frac{-12y}{-12} = \frac{-36}{-12}$

$y = 3$

Substitute $y = 3$ in equation 1

$4x + 8y = 8$

$4x + 8(3) = 8$

$4x + 24 = 8$

Subtract 24 from both sides

$4x + 24 - 24 = 8 - 24$

$4x = -16$

Divide both sides by 4

$\frac{4x}{4} = \frac{-16}{4}$

$x = -4$

$Hence\ (x,y) = (-4,3)$

----------------------------------------------

14)

$7x + 7y = 8$ ---- (1)

$5x + 5y = 10$ ----- (2)

Make x the subject of formula in (2)

$5x + 5y = 10$

$5x + 5y - 5y = 10 - 5y$

$5x = 10 - 5y$

$\frac{5x}{5} = \frac{10 - 5y}{5}$

$x = \frac{10}{5} - \frac{5y}{5}$

$x = 2 - y$

Substitute $x = 2 - y$ in (1)

$7x + 7y = 8$

$7(2-y) + 7y = 8$

Open bracket

$7*2-7*y + 7y = 8$

$14 -7y + 7y = 8$

$14 \neq 8$

At this point, we conclude that thee system has no solution.

----------------------------------------------

15)

$y = 3x + 4$ --- 1

$5x + y = -92$ ----2

Substitute $y = 3x + 4$ in (2)

$5x + 3x + 4 = -92$

$8x + 4 = -92$

Subtract 4 from both sides

$8x + 4 -4= -92 -4$

$8x = -96$

Divide both sides by 8

$\frac{8x}{8} = \frac{-96}{8}$

$x = -12$

Substitute $x = -12$ in equation 1

$y = 3x + 4$

$y = 3(-12) + 4$

$y = -36 + 4$

$y = -32$

$Hence\ (x,y) = (-12,-32)$

----------------------------------------------

16)

$0.4x + 0.4y = 4$

$0.4x - 0.4y = 1$

Add both equations

$(0.4x + 0.4y = 4) + (0.4x - 0.4y = 1)$

$0.4x+0.4x + 0.4y-0.4y = 4+1$

$0.8x = 5$

Divide both sides by 0.8

$\frac{0.8x}{0.8} = \frac{5}{0.8}$

$x = 6.25$

Substitute $x = 6.25$ in (1)

$0.4(6.25) + 0.4y = 4$

$2.5 + 0.4y = 4$

Subtract 2.5 from both sides

$2.5 -2.5 + 0.4y = 4 -2.5$

$0.4y = 1.5$

Divide both sides by 0.4

$\frac{0.4y}{0.4} = \frac{1.5}{0.4}$

$y = \frac{1.5}{0.4}$

$y = 3.75$

$Hence,\ (x,y) = (3.75,6.25)$

----------------------------------------------

17)

$x - 4y = 1$

$x= 7+ 4y$

Substitute $x= 7+ 4y$ in (1)

$7 + 4y - 4y = 1$

$7 \neq 1$

At this point, we conclude that thee system has no solution.

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