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3 years ago

Solve |3x + 3|= 27

Mathematics

1 answer:

Alenkasestr [34]3 years ago

4 0

Answer:

d.x=-8 and x=-10

Step-by-step explanation:

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Find the length of the leg.

g100num [7]

The length of the leg is 5

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3 years ago

Based on the graph what are the approximate solutions to the equation -2x+4=(0.25)x?

konstantin123 [22]

4=2.25x add 2x on both sides
1.78=x subtract 2.25 on both sides

5 0

3 years ago

EXPLAIN THE ERROR Cody was given two points (1/2,4) and (2/3,1), on a line and asked to create a linear equation in standard for

inessss [21]

Answer:

Cody made a mistake when calculating the slope of the line and this affected every other steps after than.

She divided -3 by 6 instead of -3 by 1/6

Step-by-step explanation:

Given

$(x_1,y_1) = (\frac{1}{2},4)$

$(x_2,y_2) = (\frac{2}{3},1)$

<em>See attached for steps</em>

Required

Explain Cody's error

<em>Cody made a mistake when calculating the slope of the line and this affected every other steps after than.</em>

See Proof

Slope (m) is calculated as thus:

$m =\frac{y_2 - y_1}{x_2 - x_1}$

$m =\frac{1 - 4}{\frac{2}{3} - \frac{1}{2}}$

$m =-\frac{ 3}{\frac{1}{6}}$

$m = -3/\frac{1}{6}$

$m = -3 * 6$

$m = -18$

This is in contrast to $m = -\frac{1}{2}$ , calculated by Cody

Solving further to determine the equation.

$y - y_1 = m(x - x_1)$

Where

$(x_1,y_1) = (\frac{1}{2},4)$

$m = -18$

$y - 4 = -18(x - \frac{1}{2})$

$y - 4 = -18x + 9$

Collect Like Terms

$y + 18x = 9 + 4$

$y + 18x = 13$

6 0

3 years ago

jabu left town A to travel to town B at 6:00 a.m. he drove at an average speed of 80km/h. At 8.30a.m. Sipho left town A to trave

7nadin3 [17]

Answer:

Sipho catches up Jabu at 6:30 pm

Step-by-step explanation:

Jabu left town A to travel to town B at 6:00 a.m. he drove at an average speed of 80km/h.

At 8:30 am, when Sipho leaves, we will have traveled 2.5 hours at 80 km/h, so he will be 80*2.5 = 200 km ahead.

From then, his position will be given by:

$J(t) = 200 + 80t$

Sipho left town A to travel to town B. He drove at an average speed of 100 km/h.

His position will be given by:

$S(t) = 100t$

At what time will Sipho catch up jabu?

He will catch up in t hours, and t is found when:

$S(t) = J(t)$

$100t = 200 + 80t$

$20t = 200$

$t = \frac{200}{20} = 10$

He will catch up 10 hours after 8:30 am, that is, 6:30 pm.

Sipho catches up Jabu at 6:30 pm

4 0

3 years ago

Find two positive numbers whose difference is 17 and whose product is 1410

Dafna11 [192]

Answer:

30 and 47

their difference is 17 and when multiplied equal 1410

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3 years ago