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3 years ago

Solve , -5x + 20 < 5

Mathematics

2 answers:

katovenus [111]3 years ago

7 0

Answer:

x>3

Step-by-step explanation:

julsineya [31]3 years ago

6 0

Let's solve your inequality step-by-step. −5x+20<5

Step 1: Subtract 20 from both sides. −5x+20−20<5−20−5x<−15

Step 2: Divide both sides by -5.‌ −5x−5‌<‌−15−5‌x>3

Answer: x>3

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Verify the identity cos quantity x plus pi divided by two = -sin x

In-s [12.5K]

Answer:

Identity is verified.

Step-by-step explanation:

We have to verify the identity $cos(x+\frac{\pi }{2}) = (- sinx)$

To prove any identity we always prove one side(either left hand side or right hand side) of the equation equal to the other side.

In this identity we take the left hand side first

$cos(x+\frac{\pi}{2})$

$=cosx\times cos(\pi/2)-sinx\times sin(\pi/2))$ (as we know cos(a+b) = cosa×cosb-sina×sinb)

$= cosx\times0-sinx\times1$

$= 0-sinx$

= - sinx ( Right hand side)

Hence identity is proved.

6 0

4 years ago

Let x be the ages of students in a class. Given the frequency distribution f(x) above, determine the following probabilities:.

lora16 [44]

Probabilities are used to determine the chances of events

The value of the probability P(x < 24) is 0.7895

<h3>How to calculate the probability P(x < 24)?</h3>

This is calculated as:

$P(x < 24) = \frac{n(x < 24)}{Total}$

So, we have:

$P(x < 24) = \frac{22 + 3 + 5}{22 + 3 + 5 + 4 + 4}$

Evaluate the sums

$P(x < 24) = \frac{30}{38}$

Evaluate the quotient

$P(x < 24) = 0.7895$

Hence, the value of the probability P(x < 24) is 0.7895

Read more about probabilities at:

brainly.com/question/9385303

8 0

3 years ago

What is the additive inverse of -2 + 8i?

tatuchka [14]

Answer:

2 - 8i

Step-by-step explanation:

The additive inverse of something is basically the opposite of it. Another way to say this is that when you add the additive inverse to -2 + 8i, it will equal 0.

An example:

The additive inverse of 7 is -7 because not only is it the opposite, but also when you add 7 and -7, it equals 0.

To solve

So all you need to do is find the opposite of -2 + 8i. You can write it as:

-(-2 + 8i) With the negative in the front because we want to find the opposite.

This then equals:

2 - 8i

You can check your answer by adding -2 + 8i and 2 - 8i to see if it equals 0:

(-2 + 8i) + (2 - 8i) → and it does equal 0

ANSWER: 2 - 8i

Hope you understand and that this helps with your question! :)

8 0

3 years ago

Some points because you deserve it

Licemer1 [7]

Answer:

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers

There are 200 balls of the same size inside a dark room. There are 100 white balls, 55 red balls, and 45 black balls. If one stu

Komok [63]

Answer:

Probability of picking Red ball is 27.5%

Step-by-step explanation:

Given:

Total Number of balls = 200

Number of White balls = 100

Number of Red balls = 55

Number of Black balls = 45

We need to find the probability of the ball picked to be red.

Solution:

Now we know that;

Probability is equal to number of Possible Outcomes divide by total number of Outcomes multiplied by 100.

framing in equation form we get;

$P(Red) = \frac{\textrm{Number of Red balls}}{\textrm{Total Number of balls}} \times 100$

$P(Red) = \frac{55}{200}\times100$

$P(Red) = 27.5\%$

Hence Probability of picking Red ball is 27.5%.

6 0

3 years ago