In the first case we'd subtract 1 from both sides, obtaining |x-1|<14.
In the second case we'd also subtract 1 from both sides, and would obtain
|x-1|>14.
What would the graphs look like?
In the first case, the graph would be on the x-axis with "center" at x=1. From this center count 14 units to the right, and then place a circle around that location (which would be at x=15). Next, count 14 units to the left of this center, and place a circle around that location (which would be -13). Draw a line segment connecting the two circles. Notice that all of the solutions are between -13 and +15, not including these endpoints.
In the second case, x has to be greater than 15 or less than -13. Draw an arrow from x=1 to the left, and then draw a separate arrow from 15 to the right. None of the values in between are solutions.
Answer:
y = 0.2x + 250
Step-by-step explanation:
let the sales be x and y be earnings
thus,
given
x₁ = $3,500 ; y₁ = $950
and,
x₂ = $2,800 ; y₂ = $810
Now,
the standard line equation is given as:
y = mx + c
here,
m is the slope
c is the constant
also,
m = 
or
m = 
or
m = 0.2
substituting the value of 'm' in the equation, we get
y = 0.2x + c
now,
substituting the x₁ = $3,500 and y₁ = $950 in the above equation, we get
$950 = 0.2 × $3,500 + c
or
$950 = $700 + c
or
c = $250
hence,
The equation comes out as:
y = 0.2x + 250
Answer:
28
Step-by-step explanation:
We have the following function:
where a=-3, b=168 and c=-1920
In order to calculate the maxium profit for the company, and how many cakes should be prepared in order to reach it, we have to calculate where the parabola's vertex is ubicated. To do so, we use the following formula:
So 28 cakes should be prepared per day in order to maximize profit.
Answer:
Step-by-step explanation:
Find the quotient.
(4.86 × 109)
(2.43 × 103)
What is the exponent of the power in the quotient?
6
What is the coefficient in the quotient?
2
Which operation produced the exponent of the power in the quotient?
Subtracting the original exponents
Answer: 46656
Step-by-step explanation: there are 7 x’s on the left side of the equation, and one on the right. The one on the right side is multiplied to a variable, x. Divide both sides by 6, you get 6 6 times on the left side. Multiply and you get 46656
