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riadik2000 [5.3K]
3 years ago
8

Show each step of your work. Solve -3x – 2 = 19.

Mathematics
1 answer:
IgorLugansk [536]3 years ago
5 0

Answer:

Step-by-step explanation:

-3x -2 = 19

+3x +3x

-2 = 19 + 3x

-19 -19

-21 = 3x

Divided by 3

-7 = x

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Which of the following is the solution to: -3x + 8 < 14
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Answer:

The correct solution is C (x> -2)

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2 years ago
What number falls between 7 and 8 on the number line.
den301095 [7]

Answer:

the answer is 7.5

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The height H of an ball that is thrown straight upward from an initial position 3 feet off the ground with initial velocity of 9
mariarad [96]

Answer:

The ball will be 84 feet above the ground 1.125 seconds and 4.5 seconds after launch.

Step-by-step explanation:

Statement is incorrect. Correct form is presented below:

<em>The height </em>h(t)<em> of an ball that is thrown straight upward from an initial position 3 feet off the ground with initial velocity of 90 feet per second is given by equation </em>h(t) = 3 +90\cdot t -16\cdot t^{2}<em>, where </em>t<em> is time in seconds. After how many seconds will the ball be 84 feet above the ground. </em>

We equalize the kinematic formula to 84 feet and solve the resulting second-order polynomial by Quadratic Formula to determine the instants associated with such height:

3+90\cdot t -16\cdot t^{2} = 84

16\cdot t^{2}-90\cdot t +81 = 0 (1)

By Quadratic Formula:

t_{1,2} = \frac{90\pm \sqrt{(-90)^{2}-4\cdot (16)\cdot (81)}}{2\cdot (16)}

t_{1} = 4.5\,s, t_{2} = 1.125\,s

The ball will be 84 feet above the ground 1.125 seconds and 4.5 seconds after launch.

3 0
3 years ago
Alice earns simple interest on a principal of $1,400 at an annual interest rate of 6% for the period of 3 years. What equation s
Greeley [361]

The amount of interest is $252. The equations  or  represent the relation relationship between p, (r), (t) and (i).

Step-by-step explanation:

The formula of simple interest is

Where, principal amount (p), rate of interest (r), period of investment in years (t), and interest earned (i).

The principal amount is $1,400, interest rate of 6% and the time period of 3 years.

The amount of interest is

Therefore the amount of interest is $252.

The equations  or  represent the relation relationship between p, (r), (t) and (i).

5 0
2 years ago
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A bag contains 6 blue, 10 green, and 8 red marbles. What
Evgesh-ka [11]

Answer:

1/4, 3/4

Step-by-step explanation:

First let's find how many marbles there are in total

6+10+8=24 marbles

Now we find the probability of drawing a blue marble

6/24=1/4 (There are 6 blue marbles)

The compliment is 3/4

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