5000-x is the number of dollars in the mutual fund
3x + 2y(100)
yes he was correct
2 cups are added each time so 2 times 100 is 200 add the 3 you have 203.
i know i’m not an expert but i wanted to help :)
Answer:
x = 3
Step-by-step explanation:
From the given parallelogram;
m<XWC = m<XYC
Given
m<XWC = 2x+5
m<XYC = 3x+2
Equate
2x+5 = 3x+2
2x - 3x = 2 - 5
-x = -3
x = 3
Hence the value of x is 3
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
Answer:
These equations are incomplete so I cant solve it
Step-by-step explanation:
