<span>Xsquared -5x= 2x-6
x^2 - 5x - 2x + 6 = 0
x^2 - 7x + 6 = 0
(x -6)(x-1) = 0
x-6 = 0, x = 6
x - 1 = 0, x = 1
answer
solutions
x = 1 and x =6</span>
Answer:
Let X be the number of weeks.
2x - 16 = 14
we add 16 on both sides.
2x = 30
now we divide 2 on both sides to get rid of the 2 to the x, we want to get x on its own.
X = 15
The awnser is C because there is a right angle which is 90 degrees then there is also a vertical angle of 118 degrees. There is also a supplementary angle of 70 degrees. When you add these angles you get 278 degrees which you subtract from 360 to find the last angle which is K and you get 82 degrees
To set up or model a linear equation to fit a real-world application, we must first determine the known quantities and define the unknown quantity as a variable. Then, we begin to interpret the words as mathematical expressions using mathematical symbols. Let us use the car rental example above. In this case, a known cost, such as $0.10/mi, is multiplied by an unknown quantity, the number of miles driven. Therefore, we can write
0.10
x
. This expression represents a variable cost because it changes according to the number of miles driven.
If a quantity is independent of a variable, we usually just add or subtract it according to the problem. As these amounts do not change, we call them fixed costs. Consider a car rental agency that charges $0.10/mi plus a daily fee of $50. We can use these quantities to model an equation that can be used to find the daily car rental cost
C
.
C
=
0.10
x
+
50
When dealing with real-world applications, there are certain expressions that we can translate directly into math. The table lists some common verbal expressions and their equivalent mathematical expressions.
Given
12 black socks
16 white socks
Without looking, Mario takes one sock out of the drawer and then takes out another without replacing the first sock
Which expression shows one way to find the probability that he will take out two white socks?
Procedure
for the first white socks
for the second white socks
