2 years ago

Help, pls. practice tests are hard

Mathematics

1 answer:

Grace [21]2 years ago

8 0

The arrow goes to the left open circle on 3.

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Which number line shows the solution to the inequality −2(3x − 1) < 8?

Liula [17]

Answer:

x∈ (-1, ∞)

Step-by-step explanation:

Solution of the inequality:

−2(3x − 1) < 8 ⇒ Divide both sides by -2, this will change inequality

sign to opposite

3x - 1 > -4 ⇒ add 1 to both sides
3x > -3 ⇒ divide both sides by 3
x > -1 ⇒ answer
x∈ (-1, ∞) ⇒ answer as set

4 0

3 years ago

Evaluate and Explain 3t(t+2)-3t^2 for t=19 and Simplifiy -(3a-2b)-3(-a-b)

Yuri [45]

1 ) 3 t ( t + 2 ) - 3 t² =
= 3 t² + 6 t - 3 t² = 6 t = 6 · 19 = 114

2 ) - ( 3 a - 2 b ) - 3 ( - a- b ) =
= - 3 a + 2 b + 3 a + 3 b = 5 b

5 0

2 years ago

Jocelyn estimates that a piece of wood measures 5.5 cm. If it actually measures 5.62 cm, what is the percent error of Jocelyn's

Lina20 [59]

Answer:

The percent error is -2.1352% of Jocelyn's estimate.

6 0

2 years ago

2/3 multiplied by what equals 3/4

Serga [27]

9/8 is your answer i believe

4 0

2 years ago

Helena wrote the equation using point-slope form for the line that passes through the points (5, 1) and (3, 5). Analyze the step

viva [34]

Answer:

In step 2, she didn’t use an x and y from the same coordinate pair

Step-by-step explanation:

see the attached figure to better understand the problem

we have the points (5, 1) and (3, 5)

step 1

Find the slope

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

substitute

$m=\frac{5-1}{3-5}$

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

$m=-2$

step 2

The equation of the line in point slope form is

$y-y1=m(x-x1)$

take the point (3,5)

$m=-2$

substitute

$y-5=-2(x-3)$

$y-5=-2x+6$

$y=-2x+6+5$

step 3

$y=-2x+11$

therefore

In step 2, she didn’t use an x and y from the same coordinate pair

3 0

2 years ago

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