All categories

3 years ago

For which compound inequalities is 18 a solution? Select the statement that are true.

Mathematics

1 answer:

vodka [1.7K]3 years ago

7 0

Answer:

Which statements are true about the figure? Select two options.

Line JM intersects line GK at point N.

Horizontal line G K intersects vertical line J M at point N, forming a right angle. A line extends from point N to L, down and to the right.

You might be interested in

Which statement is true about the function f(x)= StartRoot x EndRoot?

Gelneren [198K]

The statement that is true is the third statement - The domain of the graph is all real numbers less than or equal to 0

<h3>Domain and Range of a Function</h3>

From the question, we are to determine the statement that is true about the given function.

The domain of a function consists of all the input values shown on the x-axis.

and

The range is the set of possible output values, which are shown on the y-axis

The given function is

f(x) = √-x

The possible input values for the given function is the set of all real numbers less than or equal to zero. That is, the domain of the function is the set of all real numbers less than or equal to zero.

The possible output value for the given function is the set of all real numbers greater than or equal to zero. That is, the range of the function is the set of all real numbers greater than or equal to zero.

Hence, the correct statement is the third statement - The domain of the graph is all real numbers less than or equal to 0

Learn more on Domain and Range of a function here: brainly.com/question/2264373

#SPJ1

7 0

2 years ago

What multiplies to 3025 and adds to -111?

sattari [20]

The numbers 55 and 55.

3 0

4 years ago

About 16 % of the population of a large country is allergic to pollen. If two people are randomly selected, what is the probabil

Vinvika [58]

Answer:

(a) 0.0256

(b) 0.2944

Step-by-step explanation:

For solving this exercise we can apply the binomial distribution. The equation that give as the probability is:

$P(x,n,p)=(nCx)*p^{x} *(1-p)^{n-x}$

Where n is the number of identical events, p is the probability that the event has a success and x is the number of success in the n identical events.

Additionally, nCx is calculated as:

$nCx=\frac{n!}{x!(n-x)!}$

So, in this case we have 2 identical events because we are going to select two people randomly and the probability p of success is the probability that the person is allergic to pollen and this probability is 16%.

Then, for the first case, x is 2 because their are asking for the probability that both are allergic to pollen. Replacing the values of x, n and p we get:

$P(2,2,0.16)=(2C2)*0.16^{2} *(1-0.16)^{2-2}$

P(2,2,0.16)=0.0256

For the second case, their are asking for the probability that at least one is allergic to pollen, that means that we need to sum the probability that both are allergic to pollen with the probability that just one is allergic to pollen.

Using the same equation to calculate P(1,2,0.16) we get:

$P(1,2,0.16)=(2C1)*0.16^{1} *(1-0.16)^{2-1}$

P(1,2,0.16)=0.2688

So, the probability that at least one person is allergic to pollen is 0.2944 and it is calculated as:

0.0256 + 0.2688 = 0.2944

7 0

3 years ago

Solve each quadratic equation by completing the square. Give exact answers--no decimals.

Sholpan [36]

Answer:

$x_1 = -2 + 2i\\\\x_2 = -2 -2i$

Step-by-step explanation:

In this problem we have the equation of the following quadratic equation and we want to solve it using the method of square completion:

$7x ^ 2 + 28x +56 = 0$

The steps are shown below:

For any equation of the form: $ax ^ 2 + bx + c = 0$

1. If the coefficient a is different from 1, then take a as a common factor.

In this case $a = 7$ . Then:

$7(x ^ 2 + 4x) = -56$

2. Take the coefficient b that accompanies the variable x. In this case the coefficient is 4. Then, divide by 2 and the result squared it.

We have:

$\frac{4}{2} = 2\\\\(\frac{4}{2})^2 = 4$

3. Add the term obtained in the previous step on both sides of equality, remember to multiply by the common factor $a = 7$ :

$7(x ^ 2 + 4x + 4) = -56 + 7(4)$

4. Factor the resulting expression, and you will get:

$7(x + 2) ^ 2 = -28$

Now solve the equation:

Note that the term $7(x + 2) ^ 2$ is always $> 0$ therefore it can not be equal to -28.

The equation has no solution in real numbers.

In the same way we can find the complex roots:

$7(x+2)^2 = -28\\\\(x+2)^2 = -\frac{28}{7}\\\\x+2 = \sqrt{-\frac{28}{7}}\\\\x = -2 + \sqrt{-4}\\\\x = -2 + 2\sqrt{-1}\\\\x_1 = -2 + 2i\\\\x_2 = -2 -2i$

4 0

4 years ago

Read 2 more answers

What is 1/4 plus 1/3

Sonja [21]

Answer:it would be 7/12 I think

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers