Answer:
C 18
Step-by-step explanation:
1080/60 = 18
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: Graph the integers, then read them from left to right.
I don’t think I need to explain, it’s just common knowledge.
Answer:14in
Step-by-step explanation:
volume(v)=196π
Height(h)=1
Radius=√(v ➗ π x h)
Radius=√(196π ➗ πx1)
Radius=√(196)
Radius=14in
Answer:
2 x+3 y and 3 x+ 2 y
Step-by-step explanation:
Let x represents the number of roast beef and y represents the number of turkey sandwiches.
Let r and t represent cost of the roast beef and sandwich.
Platter A:
Platter A has 2 roast beef and 3 turkey sandwiches. So, equation is 2 x+3 y.
Total cost of the platter = 2 r x+3 t y
Platter B:
Platter B has 3 roast beef and 2 turkey sandwiches. So, equation is 3 x+2 y.
Total cost of the platter = 3 r x+2 t y
So, the two equations are 2 x+3 y and 3 x+ 2 y.
