17 = -13 -8x
Add 13 to both sides:
30 = -8x
Divide both sides by -8:
x = 30 / -8
Reduce the fraction by dividing both numbers by 2:
X = -15/4 or - 3 3/4
6 = x +2/3
Subtract 2/3 from both sides:
x = 5 1/3
13 + w/7 = -18
Subtract 13 from both sides:
w/7 = -31
Multiply both sides by 7:
w = -217
The pizza originally have 30 slices.
What is linear equation?
An equation in which the highest power of the variable is one is known as linear equation.
We will find number of pizza slices as shown below:
Let pizza originally have x slices.
Adam eats 20% of a pizza
= 0.2x
Bethany eats 1/3 of pizza
=1/3(x)
Charlie eats the remaining 14 slices
0.2x+1/3(x)+14=x
14 = x - 0.2x - 1/3(x)
14 = x - x/5 - x/3
14 = (15x - 3x - 5x)/15
14*15 = 7x
By dividing both sides by 7, we get
30 = x
x = 30
Hence, the pizza originally have 30 slices.
Learn more about linear equations here:
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<h2>
Hello!</h2>
The answers are:
a) The name of the function is f.
b) Independent variable : t , dependent variable : y/f(t)
c) The rule that assings exactly one output to the very input is called "function".
d) 
<h2>Why?</h2>
Usually, the name of a function 
is what is out of the parentheses, so the name of the function is "f".
The independent variable of a function is the variable we assign the different values, so, for this case, the independent variable is "t"
The dependent variable is the function itselft, it's also called "y", it's called "dependent" variable because its values will always depends of the "independent variable"
Function is the rule that states that there is exactly one output (range value) to the very input (domain value). A function only exists when there is exactly one output value (range) for each input (domain), if there is more than one output for each input, the function does not exist.
Evaluating a function consists of assign values to the independent variable, so:
Have a nice day!
Answer:
{-infinity, infinity}
no solution
Step-by-step explanation:
|x| +15≥4
Subtract 15 from each side
|x| +15-15≥4-15
|x| ≥-11
This is always true so x can be and real number
{-infinity, infinity}
-2|5x+3| = 8
Divide by -2
-2/-2|5x+3| = 8/-2
|5x+3| = -4
This can never happen because absolute values are zero or greater
no solution
The three sides of the triangles are 11 cm, 22cm, and 44cm.
<h3>What is the perimeter of a triangle?</h3>
The perimeter of the triangle can be calculated by the sum of all the three sides of the triangle.
A triangle has a perimeter of 77 cm.
Let the side of the triangle be x, y, and the base z.
One side of the triangle is double the base.
x = 2z
The other side is quadruple the base.
y = 4z
The perimeter
X + y + z = 77
or
2z + 4z + z = 77
7z = 77
z = 11
So, the length of base z is 11 cm.
The other sides as
x = 22
y = 44
Therefore,The three sides of the triangles are 11 cm, 22cm, and 44cm.
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