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Effectus [21]
3 years ago
5

X<= -2 on a number line

Mathematics
1 answer:
ruslelena [56]3 years ago
7 0

Answer:

x\le \:-2\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x\le \:-2\:\\ \:\mathrm{Interval\:Notation:}&\:(-\infty \:,\:-2]\end{bmatrix}

Please check the attached number line graph.

The number line clearly indicates that the graph is heading towards negative infinity from -2.

Step-by-step explanation:

Given the inequality expression

x ≤ -2

The inequality symbol ' ≤ ' means 'less than or equal to'.

Thus,

x ≤ -2 means x is less than or equal to -2.

In other words,

x\le \:-2\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x\le \:-2\:\\ \:\mathrm{Interval\:Notation:}&\:(-\infty \:,\:-2]\end{bmatrix}

Please check the attached number line graph.

The number line clearly indicates that the graph is heading towards negative infinity from -2.

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Graph. y + 1= 1/3(x-3)
Fofino [41]

Answer:

Here's the graph I did online.

3 0
3 years ago
Hi, can you help me to solve this exercise, please!
Yuri [45]

Trigonometric Identities.

To solve this problem, we need to keep in mind the following:

* The tangent function is negative in the quadrant II

* The cosine (and therefore the secant) function is negative in the quadrant II

* The tangent and the secant of any angle are related by the equation:

\sec ^2\theta=\tan ^2\theta+1

We are given:

\text{tan}\theta=-\frac{\sqrt[]{14}}{4}

And θ lies in the quadrant Ii.

Substituting in the identity:

\begin{gathered} \sec ^2\theta=(-\frac{\sqrt[]{14}}{4})^2+1 \\ \text{Operating:} \\ \sec ^2\theta=\frac{14}{16}+1 \\ \sec ^2\theta=\frac{14+16}{16} \\ \sec ^2\theta=\frac{30}{16} \end{gathered}

Taking the square root and writing the negative sign for the secant:

\begin{gathered} \sec ^{}\theta=\sqrt{\frac{30}{16}} \\ \sec ^{}\theta=-\frac{\sqrt[]{30}}{4} \end{gathered}

5 0
1 year ago
Estimate a 15% tip on a dinner bill of $31.86 by first rounding the bill amount to the nearest ten dollars.
Masteriza [31]
$4.5 (31.86≈30 30x0.15=4.5)
6 0
3 years ago
The numbers of cars (c) in the parking lot increases when the parking fee (f) decrease. Write the correct equation for this scen
vodka [1.7K]
So when one goes up, the other goes down. This is an inverse equation.

An inverse equation looks like this: y = 1/x

In this case, when parking fee (f) decreases, cars (c) increase.
You know which side to put each variable on using the chart they gave you.
f         | c
20.00  15        (20.00 = x/15) x=300
30.00  10        (30.00 = x/10) x=300

So your equation in this case is f = 300/c
Knowing that, plug in the fee of 6.00

6 = 300/c   Multiply both sides by c.
6c = 300    Divide both sides by 6.
c = 50 cars

5 0
3 years ago
7/8 - 1/4 - 1/2= ??
madreJ [45]

Step-by-step explanation:

We can break this up into pieces, first we do, 7/8 - 1/4, find the least common denominator which is 8, so the equation will be 7/8 - 2/8, which we can now subtract and will give us, 5/8, now that we have done that, we can do 5/8 - 1/2. Since we know that half of 8 (our denominator) is 4. Then the equation would be 5/8 - 4/8, which brings us to 1/8 as our final answer.

Cheers!

7 0
2 years ago
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