Answer:
Minimum at (-4, -10)
Step-by-step explanation:
x² + 8x + 6
The coefficient of x² is positive, so the parabola opens upward, and the vertex is a minimum.
Subtract the constant from each side
x² + 8x = -6
Square half the coefficient of x
(8/2)² = 4² = 16
Add it to each side of the equation
x² + 8x + 16 = 10
Write the left-hand side as the square of a binomial
(x + 4)² = 10
Subtract 10 from each side of the equation
(x+ 4)² -10 = 0
This is the vertex form of the parabola:
(x - h)² + k = 0,
where (h, k) is the vertex.
h = -4 and k = -10, so the vertex is at (-4, -10).
The Figure below shows your parabola with a minimum at (-4, -10).
discount per tshirt=(originalprice-discountedprice)/numberofshirtssold
20 tshirts
originaprice=20*p=20p
discountedprice=20p-60
numberofshirtssold=20
discountpershirt=(20p-(20p-60))/20
discountpershirt=(20p-20p+60)/20
discountpershirt=(60)/20
discountpershirt=3
the discount per tshirt is $3.00 per shirt
Circumference = π × diameter
π × 9 = 28.274333882
To 1dp = 28.3
Circumference = 28.3 inches
Answer:
Step-by-step explanation:
-5/3,-0.5,-1/3,0.5,1.25
Answer:
A. 1206 cm³
Step-by-step explanation:
We have a cone and are asked to find the approximate volume of it.
Keep in mind we are using π for 3.14
The forumla of a cone is V = πr²
We know the radius = 12
and the height = 8
Substitute :
V = π12²
Since these are multiplied with each other, we can first start off with multiplying the fraction, including with factoring 12²:
V = 
Cancel the common factor - 3 :
V = 
Multiply 8 and 3π :
V = 
Solve the exponent :
V = 
Multiply :
V = 
Multiply for the final answer :
1205.76 cm³
which can be rounded up to
A. 1206 cm³