Ask question

Ask question

All categories

2 years ago

9

How do you solve |x-5|

="latex-formula">3

1 answer:

zheka24 [161]2 years ago

4 0

Answer:

x ≥ 8 or x ≤ 2

Step-by-step explanation:

(see attached graphic for reference)

|x-5| ≥ 3 (expand absolute value expression)

(x-5) ≥ 3

x ≥ 3 + 5

x ≥ 8 (first answer)

or

(x-5) ≤ -3

x ≤ -3 + 5

x ≤ 2 (second answer)

You might be interested in

Which graph represents the function of f(x) = the quantity of 4 x squared minus 16, all over 2 x minus 4? (2 points)

Whitepunk [10]

The answer to your porblem would be

7 0

2 years ago

How many minutes he does arm routine and abdominal routine

AlekseyPX

Let $x$ be the amount of time it takes to perform an arm routine and $y$ be the amount of time it takes to perform an abdominal routine. We see:

$4x+y=70$
$4x+2y=100$

Subtracting the second equation from the first gives $y=30$ . Substituting gives $4x+30=70$ , so $4x=40$ and $x=10$ .

Thus, an arm routine takes ten minutes and an abdominal routine takes thirty minutes.

5 0

3 years ago

Question 8 Find the unit vector in the direction of (2,-3). Write your answer in component form. Do not approximate any numbers

slamgirl [31]

Answer:

The unit vector in component form is $\hat{u} = \left(\frac{2}{\sqrt{13} },-\frac{3}{\sqrt{13}} \right)$ or $\hat{u} = \frac{2}{\sqrt{13}}\,i-\frac{3}{13}\,j$ .

Step-by-step explanation:

Let be $\vec u = (2,-3)$ , its unit vector is determined by following expression:

$\hat {u} = \frac{\vec u}{\|\vec u \|}$

Where $\|\vec u \|$ is the norm of $\vec u$ , which is found by Pythagorean Theorem:

$\|\vec u\|=\sqrt{2^{2}+(-3)^{2}}$

$\|\vec u\| = \sqrt{13}$

Then, the unit vector is:

$\hat{u} = \frac{1}{\sqrt{13}} \cdot (2,-3)$

$\hat{u} = \left(\frac{2}{\sqrt{13} },-\frac{3}{\sqrt{13}} \right)$

The unit vector in component form is $\hat{u} = \left(\frac{2}{\sqrt{13} },-\frac{3}{\sqrt{13}} \right)$ or $\hat{u} = \frac{2}{\sqrt{13}}\,i-\frac{3}{13}\,j$ .

6 0

2 years ago

translate into an algebraic expression and simplify if possible. what number exceeds m by five more than n

Kisachek [45]

Answer:

If the number is x, then the equation is;

x-m = 5 + n

Step-by-step explanation:

Here, we want to write the given statement in algebraic form

What number exceeds m by five more than n

Let the number be x

x-m = n + 5

8 0

3 years ago

Please help with math

densk [106]

Answer:

The triangular prism is a better deal because you get 204 in³ for the same price you would pay for 128 in³ with a trapezoidal prism.

Step-by-step explanation:

The trapezoidal prism has volume 32*4=128 cubic inches. The triangular prism has volume 34*6=204 inches. Since the triangular prism is more voluminous, it is the better deal. Hope this helps!

3 0

3 years ago

Read 2 more answers