F(19) = <img src="https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7Bx%2B2%7D-%20%5Csqrt%7Bx-3%7D" id="TexFormula1" title="\frac{3}{x+2}-

Choose what the expressions below best represent within the context of the word problem. The length of a rectangle is 12 inches

nexus9112 [7]

The answer is 4. Since 12+ 12 = 24, I added 4 + 4, which made 42.
So the length of the width of the rectangle is 4.
Hope this helps!

3 0

3 years ago

Read 2 more answers

sarah uses a recipe to make 2 gallons of her favorite mixed berry juice. two of the containers she plans to use to store the jui

MAVERICK [17]

1 gallon=4 quarts=8 pints
1quart=2pints
2 gallons=4*2=8quarts=16pints

2 containers are 1 quart
8-2=6 quarts left

6quars=xpints
12pint=xpints

12 pint containers

3 0

3 years ago

Read 2 more answers

What is the simplified expression for 3^3 x 3^3/ 3^4

Juli2301 [7.4K]

Answer:

9

Step-by-step explanation:

$\frac{3^{6} }{3^{4} }$

$3^{2}$

9

3 0

4 years ago

Which of the following is true?

Ratling [72]

In this question, we're trying to find the inequality that is true.

To find your answer, we can convert the numbers in the absolute value:

|−5| < 4:

5 < 4 false

|−4| < |−5|:

4 < 5 true

|−5| < |4|

5 < 4 false

|−4| < −5

4 < -5 false

The only true inequality here would be |−4| < |−5|, since it works with the inequality sign.

Answer:

|−4| < |−5|

4 0

3 years ago

Please help me! Find the number x such that f(x) =1

STatiana [176]

Answer:

D

Step-by-step explanation:

We have the piecewise function:

$f(x) = \left\{ \begin{array}{ll} -\frac{1}{2}x-1 & \quad x \leq -2 \\ x & \quad x > -2 \end{array} \right.$

And we want to find x such that f(x)=1.

So, let's substitute 1 for f(x):

$1 = \left\{ \begin{array}{ll} -\frac{1}{2}x-1 & \quad x \leq -2 \\ x & \quad x > -2 \end{array} \right.$

This has two equations. So, we can separate them into two separate cases. Namely:

$1=-\frac{1}{2}x-1\text{ or } 1=x$

Let's solve for x in each case.

Case I:

We have:

$1=-\frac{1}{2}x-1$

Add 1 to both sides:

$2=-\frac{1}{2}x$

Let's cancel out the fraction by multiplying both sides by -2. So:

$2(-2)=(-2)\frac{-1}{2}x$

The right side cancels:

$-4=x\\$

Flip:

$x=-4$

So, x is -4.

Case II:

We have:

$1=x$

Flip:

$x=1$

This is the solution for our second case.

So, we have:

$x_1=-4\text{ or } x_2=1$

Now, can check to see if we have to to remove solution(s) that don't work.

Note that x=-4 is the solution to our first equation.

The first equation is defined only if x is less than -2.

-4 is less than -2. So, x=-4 is indeed a solution.

x=1 is the solution to our second equation.

The second equation is defined only if x is greater than or equal to -2.

1 is greater than or equal to -2. So, x=1 is also a solution.

Therefore, our two solutions are:

$x_1=-4\text{ or } x_2=1$

Out of our answer choices, we can pick D.

And we're done!

7 0

3 years ago