Y= 2x-3/4
M is the slope
B is the y-intercept
Answer:
The number x is -3
Therefore x=-3
Step-by-step explanation:
Given problem is "Three added to eight times a number is the same as three times the value of two times the number -1"
Let x be the number
It can be written as
( applying the distributive property )
subtracting (6x-3) on both sides we get
( ading the like terms )
Therefore x=-3
The number x is -3
Answer:
The equation is 
The slope is m=-4
Step-by-step explanation:
we know that
The linear equation in slope intercept form is equal to
where
y is the amount left in the saving account
x is the number of weeks
m is the slope or unit rate of the linear equation
b is the y-intercept or initial value
In this problem we have
The slope is equal to
--> is negative because is a decreasing function
The y-intercept or initial value is
substitute
Answer:
4 = 22
Step-by-step explanation:
Factor 40 into its prime factors
40 = 23 • 5
To simplify a square root, we extract factors which are squares, i.e., factors that are raised to an even exponent.
Factors which will be extracted are :
4 = 22
Factors which will remain inside the root are :
10 = 2 • 5
To complete this part of the simplification we take the squre root of the factors which are to be extracted. We do this by dividing their exponents by 2 :
2 = 2
At the end of this step the partly simplified SQRT looks like this:
2 • sqrt (10x4)
Rules for simplifing variables which may be raised to a power:
(1) variables with no exponent stay inside the radical
(2) variables raised to power 1 or (-1) stay inside the radical
(3) variables raised to an even exponent: Half the exponent taken out, nothing remains inside the radical. examples:
(3.1) sqrt(x8)=x4
(3.2) sqrt(x-6)=x-3
(4) variables raised to an odd exponent which is >2 or <(-2) , examples:
(4.1) sqrt(x5)=x2•sqrt(x)
(4.2) sqrt(x-7)=x-3•sqrt(x-1)
Applying these rules to our case we find out that
SQRT(x4) = x2
sqrt (40x4) =
2 x2 • sqrt(10)
Simplified Root :
2 x2 • sqrt(10)
Answer:
7
Step-by-step explanation:
22-15=x
x=7
