If x is the number of berries you can buy with 1 dollar,
1 pound of blueberries = $4.00
x pound of berries = $1.00
Lets set up a proportion- because these are directly proportional- when there is more pounds of berries, it will cost more.
Cross multiply
4x=1
Divide both sides by 4 to isolate x
x=1/4 or $0.25
Answer:
and 
.
Step-by-step explanation:
To this relation be a function, the horizontal coordinates can't be equal. So, let's find the value of 
that makes those coordinates equal.
Using the null factor property, we have
Therefore, the given relation is not a function when and .
Answer:
k=24
Step-by-step explanation:
The tangent of the function f at x=a, can be found by differentiating f w.r.t. x and then replacing x with a.
f=-x^2+8x+20
Differentiating both sides:
f'=(-x^2+8x+20)'
By sum rule:
f'=(-x^2)'+(8x)'+(20)'
By constant multiple rule:
f'=-(x^2)'+8(x)'+(20)'
By constant rule:
f'=-(x^2)+8(x)'+0
By power rule:
f'=-2x+8
f' at x=a is -2a+8
This is the slope of any tangent line to the curve f.
The slope of g is 4 if you compare it to slope intercept form y=mx+b.
So we gave -2a+8=4.
Subtracr 8 on both sides: -2a=-4
Divide both sides by -2: a=2
The tangent line to the curve at x=2 is y=4x+k.
To tind y we must first know the y-coordinate of the point of tangency.
If x=2, then
f(2)=-(2)^2+8(2)+20=-4+16+20=12+20=32
So the point is (2,32).
g(x)=4x+k and we know g(2)=32.
This gives us:
32=4(2)+k
32=8+k
k=32-8
k=24
Or for this and any other problem . every percentage is out of a 100
soooo ,
20 | 100 %
10 | 50 %
5 | 25 %
1 | 5 %
SOOO
10 + 5 = 15 50 % + 25 % = 75 % , so know we know 15/20 is 75 percent
but you need 18/20 not 15/20 , so 1 equals 5 % in this problem
1+1+1 = 3 5+5+5 = 15
15 + 3 = 90 75 + 15 = 90 , 18/20 = 90%
I know its probably alot but I wanted to show you all I did , so that it could maybe help you in the future , just gotta plug in different numbers
