All categories

3 years ago

What number line represents the solution set for the inequality 3x < –9?

Mathematics

2 answers:

Xelga [282]3 years ago

6 0

<h2>Answer:</h2>

The solution set of the given inequality $3x$ is:

(-∞,-3)

<h2>Step-by-step explanation:</h2>

We are given a inequality in terms of the variable x by:

$3x$

We divide both side of the inequality by 3 to obtain the new expression as:

$x$

This means that the graph of such a inequality is the set of all the real value which are strictly less than -3( since the inequality is strict)

Hence, the solution set in set-Builder form is:

={all x belonging to real numbers| x<-3}

and in interval form the solution is: (-∞,-3)

umka21 [38]3 years ago

4 0

3x<-9
3x/3<-9/3
x<-3 or (-∞,-3).

Answer: (-∞,-3).

You might be interested in

Brianna received an overall IQ score of 117 on the Wechsler Scale. This means that Brianna has scored approximately____________

Tresset [83]

Using the normal distribution, it is found that the correct option is:

D. 1; 100

In a <em>normal distribution</em> with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

It measures how many standard deviations the measure is from the mean.

In this problem:

The mean on the Wechsler Scale is of 100, hence $\mu = 100$ .

The standard deviation is of 17, hence $\sigma = 17$ .

Brianna had an score of 117, hence $X = 117$

Then:

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{117 - 100}{17}$

$Z = 1$

Hence, the option d is correct.

To learn more about the normal distribution, you can check brainly.com/question/24663213

7 0

3 years ago

Which of these statements is true for f(x)=5x(6)^x

bonufazy [111]

Answer:

The answer if B. Hope this helps.

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

Please help <br><br>the question is beloww

madam [21]

Answer:

-8

Step-by-step explanation:

(x-3y=136) + (18x+3y=288) We collect both processes to make y's disappear

19x=-152

x=-8

5 0

3 years ago

Evaluate Dx / ^ 9-8x - x2^

Solnce55 [7]

It depends on what you mean by the delimiting carats "^"...

Since you use parentheses appropriately in the answer choices, I'm going to go out on a limb here and assume something like "^x^" stands for $\sqrt x$ .

In that case, you want to find the antiderivative,

$\displaystyle\int\frac{\mathrm dx}{\sqrt{9-8x-x^2}}$

Complete the square in the denominator:

$9-8x-x^2=25-(16+8x+x^2)=5^2-(x+4)^2$

Now substitute $x+4=5\sin y$ , so that $\mathrm dx=5\cos y\,\mathrm dy$ . Then

$\displaystyle\int\frac{\mathrm dx}{\sqrt{9-8x-x^2}}=\int\frac{5\cos y}{\sqrt{5^2-(5\sin y)^2}}\,\mathrm dy$

which simplifies to

$\displaystyle\int\frac{5\cos 
y}{5\sqrt{1-\sin^2y}}\,\mathrm dy=\int\frac{\cos y}{\sqrt{\cos^2y}}\,\mathrm dy$

Now, recall that $\sqrt{x^2}=|x|$ . But we want the substitution we made to be reversible, so that

$x+4=5\sin y\iff y=\sin^{-1}\left(\dfrac{x+4}5\right)$

which implies that $-\dfrac\pi2\le y\le\dfrac\pi2$ . (This is the range of the inverse sine function.)

Under these conditions, we have $\cos y\ge0$ , which lets us reduce $\sqrt{\cos^2y}=|\cos y|=\cos y$ . Finally,

$\displaystyle\int\frac{\cos y}{\cos y}\,\mathrm dy=\int\mathrm dy=y+C$

and back-substituting to get this in terms of $x$ yields

$\displaystyle\int\frac{\mathrm dx}{\sqrt{9-8x-x^2}}=\sin^{-1}\left(\frac{x+4}5\right)+C$

4 0

3 years ago

Urgent!!!!!!!plzz

Nitella [24]

Answer:

too much reading, can you put more points.

(edit: OML SO SORRY -THOUGHT THIS WAS QUESTIONS)

Step-by-step explanation:

7 0

4 years ago