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
Hope it helps, despite being this long!
If we multiply the ratio
... 25 g : 1 cm
by 5, we get
... 125 g : 5 cm
The number on the left is 75 g more than 50 g.
Answer:All you need to do is divide 80 by 10, and then multiply 10 by 3
Marty is helping make floral centerpieces for the sports banquet.
The guidelines tell him how many of each flower to use in one centerpiece.
If he follows the guidelines, which statement is true?
Math item stem image
CLEAR CHECK
The ratio of lilies to carnations is 3 to 2.
The ratio of carnations to daffodils is 2 to 3.
For 12 centerpieces, he will need 36 carnations.
For 24 centerpieces, he will need 36 lilies.
