7 total cups of flour divided by 2.33 cups of flour needed per batch of 24 muffins equals three batches, then multiply total number of batches by number of muffins in each batch- 3x24- gives you a total of 72 muffins
Answer:
6x-45°=4x+5°(vertically opposite angles are equal)
6x-4x=5+45
2x=50
x=50/2
x=25
hope it helps you!
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:
Step-by-step explanation:
<u>The quotient of </u>
- 5/6÷ (-13/7) =
- 5/6×(-7/13) =
- - 35/78
