|x-6| < 1 + 10 (move 10 to the right side)
|x-6| < 11
1)x-6 < 11 (here x >= 6)
2)-x+6 < 11 (here x < 6)
1)x<17
2)x>-5
so we get -5 < x < 17
the answer: (-5; 17)
Answer: a) , where 'A' is the value of car after 't' years.
b) $12446.784
Step-by-step explanation:
Given: A new car that sells for $21,000 depreciates (decreases in value) 16% each year.
Then a function that models the value of the car will be
, where 'P' is the selling price of car, 'r' is the rate of depreciation in decimal, 't' is the time in years and 'A' is the value of car after 't' years.
Thus after substituting given value, the function becomes
To find the value after 3 years, substitute t=3 in the above function.
Hence the value of car after 3 years=$12446.784
Given:
In a two-digit number, the tens digit is 5 less than the units digit.
The number itself is five more than three times the sum of its digits.
To find:
The number.
Solution:
Let the two digit number is ab. So,

Tens digit is 5 less than the units digit.
...(i)
The number itself is five more than three times the sum of its digits.



...(ii)
Using (i) and (ii), we get





Putting b=8 in (i), we get


Therefore, the required number is 38.
Answer:
x=sqrt(y+2), -sqrt(y+2)
Step-by-step explanation:
y=x^2-2
x^2=y+2
x=sqrt(y+2), -sqrt(y+2)
Answer:
The graph is positive and would have a y intercept of 1 and a slope of 2 which means choose a point on the graph and add 2 to the y and 1 to the x and you should be at the next point on the line.
Step-by-step explanation:
y=mx+b
f(x)=y
m = slope
b = y intercept
First you need to make it look like y=mx+b
y = 2x - 1 + 2
y = 2x + 1
Now we can say,
m = 2
b = 1
or,
Slope = 
y intercept = 1
Slope (m) = 
So the numerator is the value your are going to go up or down along the graph and the denominator is the value of how far you are going to go left or right along the graph. If the slope is positive then the graph is inclining. If the slope is negative, the graph is declining.