What is a representation of a facial experiment(like a smile or a frown) created by typing a sequence of characters called?

1/3 (x + 4 ) = 20 wt the answer

sashaice [31]

Answer:

x = 56

Step-by-step explanation:

To start, distribute the 1/3 onto the x and the 4 in the parenthesis. That leaves you with

1/3x + 4/3 = 20

We want the x value by itself so we're going to subtract the 4/3 from the left and the right side, leaving us with

1/3x + 4/3 = 20 - 4/3

1/3x = 18 & 2/3 (since we're dealing with fractions, I'm going to change the 18 & 2/3 into an improper fraction just to make the next step easier.)

1/3x = 56/3

The last step is to divide the 1/3 off of the x, so x is by itself. To divide a fraction by a fraction, just flip the fraction you're dividing with and multiply.

56/3 x 3/1 = 56 (56 x 3 is 168, and 3 x 1 is 3, so when you reduce 168/3, you get 56)

So, 56 is our answer, because after dividing off the 1/3, we're left with x = 56

3 0

2 years ago

Many U.S employees received a 3% raise in 2012. Suppose an employee made $47,000 in 2011 and received a 3% raise. What did she m

Hoochie [10]

First lets get 3% into decimal form.

3% is 3/100 = 0.03

Now multiply 0.03 by 47000 to get how much extra money she was going to get.

47000 * 0.03 = 1410

Now we just add
47000 + 1410 = 48410 is what she was going to make in 2012

Another way to do this is

(47000)(1+0.03) = 48410

you would use (1+0.03) which tells you she increased in pay.

7 0

2 years ago

1. Write the inverse of equation of the function f(x) = x^2 - 4? 2. Sketch the inverse of the function f(x)= x^2 - 4 on graphing

Reptile [31]

Answer: 1) $\pm \sqrt{x+4}$

2) see graph

3) Choose one color from the graph

4) D: x ≥ -4

R: y ≥ 0 for $\sqrt{x+4}$ or y ≤ 0 for $-\sqrt{x+4}$

Step-by-step explanation:

1) To find the inverse, swap the x's and y's and solve for y:

Given: y = x² - 4

Swap: x = y² - 4

x + 4 = y²

$\pm \sqrt{x+4}=y$

2) see attachment. Red and Blue combined creates the graph of the inverse.

3) Choose either the positive (red graph) or the negative (blue graph).

red graph: $y= \sqrt{x+4}$

blue graph: $y= -\sqrt{x+4}$

4) Domain reflects the x-values of the function. The x-values for the red graph is the same as the blue graph so the answer will be the same regardless of which equation you choose.

Domain: x ≥ 0

Range reflects the y-values of the function. The y-values differ between the positive and negative inverse functions. Positive is above the x-axis. Negative is below the x-axis.

Range (red graph): y ≥ 0 for $y= \sqrt{x+4}$

Range (blue graph): y ≤ 0 for $y= -\sqrt{x+4}$

4 0

3 years ago

Write a definition for the associative property of multiplication

photoshop1234 [79]

The associative property is when you can add and multiply no matter which way the problem is, for example, 2+4 = 6 and 6-4= 2 or 4+2= 6

8 0

2 years ago

Read 2 more answers

Jaylen and Michael are making a pizza with a 16 inch diameter. They want to put three cheese blend on 5 of the 45° slices (inclu

DiKsa [7]

Answer:

125.66 in2

Step-by-step explanation:

The area of the pizza is given by the formula:

Area = pi * radius^2

The radius of the pizza is half the diameter, so radius = 16/2 = 8 inches

Then, the total area is:

Area = pi * 8^2 = 64pi in2

They will put cheese in 5 of the 45° slices, so the total angle covered is 5 * 45° = 225°.

If the full area of the pizza is 360°, we can find the area covered by cheese using a rule of three:

360° -> 64pi in2

225° -> x in2

x = (225/360) * 64pi

x = 125.66 in2

3 0

3 years ago