F(t)
= t2 + 4t − 14
y + 14 + 4 = (
t2 + 4t +4)
y + 18 = ( t +
2)^2
so the vertex
of the parabola is ( -2 , -18)
<span>the axis of
symmetry is y = -18</span>
Answer:
Theory
Step-by-step explanation:
Take any 18 objects
For example in this case
Take 18 chocolates
means one sixth , which practically means how many groups of 6 can be formed
So, Try to divide 18 into groups of 6
Count how many such groups are formed(it will be 3)
So one sixth of 18 is 3
That is, 18 comprises of 3 groups, each group containing 6 chocolates
Answer: No. Do you?
Step-by-step explanation:
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:
b) $475
Step-by-step explanation:
if it has a diameter of 22 feet, that means it has a radius of 11 feet
the formula of the area of a circle is πr². so square the radius and you will get 121, multiply that by π and you get 380
Now we know the area is 380 square feet, so multiply that by $1.25 and the answer is $475
