Answer:
The lines are parallel
Step-by-step explanation:
x - y = 2
Solving for y
-y = -x+2
y = x -2
And the other equation is
y = x+1
These are both in slope intercept form
We notice that the slopes are both 1, but the y intercepts are different
That means the lines are parallel, but have different y intercepts
Answer:
g(x) = 4x² -x +64
Step-by-step explanation:
The integral of f(x) will be continuous. This means the value must be the same for x = 4- as for x = 4+.
For some constant c1, the integral in the region x ≤ 4 is ...
∫f(x)dx = (4x² -x +c1) +C = g(x) +C
The integral in the region x ≥ 4 is given as ...
∫f(x)dx = 31x +C
Evaluated at x=4, we must get the same value from either expression:
4(4²) -4 +c1 +C = 31(4) +C
60 +c1 = 124
c1 = 64
__
In order to make the integral continuous at x=4, we must have ...
g(x) = 4x² -x +64
For this case we can make the following rule of three:
2 ml -------------> 50cm ^ 2
c -----------------> 325 cm ^ 2
From here, we clear the value of c.
We have then:
c = (325/50) * (2)
c = 13 ml
Answer:
I need 13 milliliters of sunscreen to cover his skin.
4.5 lbs because for each pound there are 16 oz.
Answer:
The greatest ammount of picnic baskets you could make is 30 with an extra 12 granola bars left over, but it depends on how many people are going to eat from one picnic pasket. For example..say there were two people sharing each basket, you would make 15 picnic baskets with 12 leftover. The number would be 15 baskets because each person sharing the picnic basket together would each get 1 sandwich and 1 granola bar.
