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3 years ago

Decide whether 0 is a solution of the inequality: a.) 2x – 1 9 c.) x – 3 > 1

Mathematics

1 answer:

marin [14]3 years ago

5 0

Step-by-step explanation:

How to check a solution: Just as you can check the solution to an equation, you can check a solution to an inequality. First, you check the end point by substituting it in the related equation. Then you check to see if the inequality is correct by substituting any other solution to see if it is one of the solutions.

How to tell if its true or false: An inequality is a statement that shows the relationship between two (or more) expressions with one of the following five signs: <, ≤, >, ≥, ≠. Like an equation, an inequality can be true or false. 34 - 12 > 5 + 2 is a true statement. 1 + 3 < 6 - 2 is a false statement.

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Find the reference angle given: t= -5π/3.

Elina [12.6K]

Answer:

The reference angle is $\frac{\pi}{3}$

Step-by-step explanation:

The given angle is $t=-\frac{5\pi}{3}$

The reference angle is the acute angle, that a given angle makes with the x-axis.

First let us make a sketch of the given angle. <em>See diagram in attachment.</em>

Let $\theta$ be the reference angle of $t=-\frac{5\pi}{3}$

Then, from the diagram, we need to subtract $\theta$ from $-\frac{5\pi}{3}$ to get to $-2\pi$ .

We can therefore write the following equation and solve for $\theta$ .

$\Rightarrow -\frac{5\pi}{3}-\theta=-2\pi$

We group like terms to get,

$\Rightarrow -\theta=-2\pi +\frac{5\pi}{3}$

We collect LCM to get,

$\Rightarrow -\theta=\frac{-6\pi+5\pi}{3}$

We simplify to get,

$\Rightarrow -\theta=-\frac{\pi}{3}$

We divide through by $-1$

$\theta=\frac{\pi}{3}$ to get,

The correct answer is D.

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3 years ago

What is the value of 10x to the 3rd power y to the 2nd power if x=2 and y=3

jarptica [38.1K]

explanation:

The example above is 2 raised to the third power (raised to the third power means the exponent is 3). This is equivalent to the multiplication problem below, because there is a 1 multiplied by 2 three times. As you can see, the 1 * 2 * 2 * 2 can be simplified to 8 which is the answer to the problem.

hello im just here to just show u an example how to answer, sorry.

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3 years ago

Help I need to know this ASAP

Tanzania [10]

The correct answer is b

4 0

2 years ago

If the given sequence is a geometric sequence, find the common ratio.

Tcecarenko [31]

Answer:

d. 1/4

Step-by-step explanation:

The ratio of adjacent terms is the common ratio:

(3/12)/(3/3) = 3/12 = 1/4

3 0

3 years ago

I need the answer for this problem

Furkat [3]

Answer:

Step-by-step explanation:

4 = 1

1 = 60

8 0

2 years ago

Read 2 more answers