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Aliun [14]
4 years ago
7

Which number line shows the solution to the inequality –2(3x – 1) < 8? A. Number lines from minus five to five by increament

of one from left to right and each tick mark is labeled. Shaded part from minus infinity to open circle at minus one B. Number lines from minus five by increament of one from left to right and each tick mark is labeled. Shaded part from open circle at minus one to infinity C. Number lines from minus five by increament of one from left to right and each tick mark is labeled. Shaded part from minus infinity to open circle at two D. Number lines from minus five to five by increament of one from left to right and each tick mark is labeled. Shaded part from open circle at two to infinity
Mathematics
1 answer:
never [62]4 years ago
3 0

Answer:

The correct option is B.

Step-by-step explanation:

The inequality is: -2(3x - 1) < 8.

Solve for <em>x</em> as follows:

-2(3x - 1) < 8

-6x + 2 < 8

-6x < 6

-x < 1

x > -1

The solution for <em>x</em> is in the interval (-1, ∞].

The number line will be:

B. Number lines from minus five by increment of one from left to right and each tick mark is labeled. Shaded part from open circle at minus one to infinity

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Drake rolls two fair number cubes.
Misha Larkins [42]

Answer:

The probability that the product of 2 numbers that Drake rolls is less than = \frac{17}{36}

Step-by-step explanation:

Drake rolls two fair number cubes i.e. 6 sided die. He then multiplies the numbers shown on each die. The result of the all possible products are shown in the given table. The given table is missing a 1 in the first row. The complete first row will be:

1 2 3 4 5 6

The total number of possible outcomes are 36. We have to find the probability that product of two numbers that Drake rolled is less than 10. For this, first we need to count the number of outcomes that are less than 10. From the table we can see that the number of possible outcomes that are less than 10 are = 17

Probability is defined as the ratio of favorable outcomes to the total number of outcomes. Here, total outcomes are 36 and favorable outcomes are 17.

So,

The probability that the product of 2 numbers that Drake rolls is less than = \frac{17}{36}

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4 years ago
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interest rate of 2.99% compounded monthly for a 4 year loan, find the regular monthly payments required to repay the loan.
polet [3.4K]

Using it's formula, considering a loan of $10,000, the regular monthly payments required to pay off the loan will be of $221.3.

<h3>What is the monthly payment formula?</h3>

It is given by:

A = P\frac{\frac{r}{12}\left(1 + \frac{r}{12}\right)^n}{\left(1 + \frac{r}{12}\right)^n - 1}

In which:

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  • r is the interest rate.
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In this problem, we have that the parameters are given as follows:

P = 10,000, r = 0.0299, n = 4 x 12 = 48.

Then:

r/12 = 0.0299/12 = 0.00249167.

Hence, the monthly payment will be given by:

A = P\frac{\frac{r}{12}\left(1 + \frac{r}{12}\right)^n}{\left(1 + \frac{r}{12}\right)^n - 1}

A = 10000\frac{0.00249167(1+0.00249167)^{48}}{(1+0.00249167)^{48} - 1}

A = 221.3.

More can be learned about the monthly payment formula at brainly.com/question/22846480

#SPJ1

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