X = unknown number
10x - 16 = 2x
Subtract 10x from both sides to isolate the variable on the right side of the equation.
-16 = -8x
Divide both sides by -8 to get x alone.
2 = x
Answer:
6%
Step-by-step explanation:
60 = 500•2•rate
60 = 1000•rate
rate = 60/1000
rate = 0.06 = 6%
Let
x------------> <span>the flags length
</span>y------------> the flags <span>width
P----------> perimeter
we know that
p=2x+2y------> 2x+2y=560----------> equation 1
and
x=y+40-------------> equation 2
</span> substitute 2 in 1<span>
2*(y+40)+2y=560-----------> 2y+80+2y=560--------> 4y=480------> y=120
x=y+40-------> 120+40----------> x=160
the answer is
</span>
the flags length is 160 ftthe flags width is 120 ft
Part 2) Write three
situation to which you could apply the resulting system of equations 1) It can be used when considering the relationship between the price of a product and the quantities of the product that people want to buy at a certain price.
2) It can be used to determine the speed, distance and time duration when traveling by car, and you want to know the values of the unknown variables in your trips.
3) It can be used to determine the most convenient loan option to buy a car or a house when considering the duration of the loan.
Thought Process:
The solution to this can be found through plotting both of these functions and shading each region above or below the lines (as per the greater and less than signs given)
the region that overlaps both of the above shaded region is the solution set for all ordered pairs that satisfy the two inequalities.
Solution:
let's start by plotting
it's the same as plotting , but '>' sign suggests to shade everything above this line.
<u>side note:</u>
'' excludes every ordered pair in the line,
'' includes every ordered pair in the line,
coming back to our solution:
now let's plot the other equation
it's the same as plotting , but '<' sign suggests to shade the area below this line.
The solution set is the area that is overlapped by the two shaded regions.
So every ordered pair (or coordinate (x,y)) that lies within this overlapped shaded region, excluding the points that lie on the lines themselves, satisfy the given two inequalities
Answer:
We conclude that option A is true as x = 1 is the root of the polynomial.
Step-by-step explanation:
Given the polynomial
Let us determine the root of the polynomial shown below.
switch sides
as
so the equation becomes
Using the zero factor principle
solving
and
The possible roots of the polynomial will be:
Therefore, from the mentioned options, we conclude that option A is true as x = 1 is the root of the polynomial.