Answer:
This is always ''interesting'' If you see an absolute value, you always need to deal with when it is zero:
(x-4)=0 ===> x=4,
so that now you have to plot 2 functions!
For x<= 4: what's inside the absolute value (x-4) is negative, right?, then let's make it +, by multiplying by -1:
|x-4| = -(x-4)=4-x
Then:
for x<=4, y = -x+4-7 = -x-3
for x=>4, (x-4) is positive, so no changes:
y= x-4-7 = x-11,
Now plot both lines. Pick up some x that are 4 or less, for y = -x-3, and some points that are 4 or greater, for y=x-11
In fact, only two points are necessary to draw a line, right? So if you want to go full speed, choose:
x=4 and x= 3 for y=-x-3
And just x=5 for y=x-11
The reason is that the absolute value is continuous, so x=4 works for both:
x=4===> y=-4-3 = -7
x==4 ====> y = 4-11=-7!
abs() usually have a cusp int he point where it is =0
Step-by-step explanation:
Answer:
20
Step-by-step explanation:
The pythagorean theorem states that
So 
You would then do
Because a square root is the opposite of a square.
because 20 * 20 = 400
Answer: 750 miles
Step-by-step explanation:
The gas mileage is 75 miles per 1/2 gallon of gasoline.
First find how many miles it can go on 1 gallon of gasoline:
= 75 ÷ 1/2
= 150 miles
If the scooter can go 150 miles on 1 gallon, the number of miles it will go on 5 gallons is:
= 5 * 150
= 750 miles
312 gallons of white paint, $17.50 each gallon
134 gallons of blue paint, $19 for each gallon
312 x 17.50 = $5,460
134 x 19 = $2,546
5460 + 2546 = $8,006
Answer:
100% increase
Step-by-step explanation:
well first let's find out how much a 100% increase would be. 6,540 + 6,540(when trying to find a 100% change add the number to itself) = 13,080. that gets the answer, so there is no need to continue.
