Answer:3:1
Step-by-step explanation:
Given
There are 27 solid spheres of radius x cm
The volume of a sphere is 
The volume of 27 old spheres is the same as the volume of a new sphere
The volume of the old spheres is

The volume of a new sphere is

Now,

Answer:
-1/2
Step-by-step explanation:
The slope is the change in y over the change in x.

For this question:

The statements true about the the function f(x) = 2x2 – x – 6 are-
- The vertex of the function is (one-quarter, negative 6 and one-eighth).
- The function has two x-intercepts.
<h3>What is vertex of parabola?</h3>
The vertex of parabola is the point at the intersection of parabola and its line of symmetry.
Now the given function is,
f(x) = 2x^2 – x – 6
Also, it is given that the vertex is located at (0.25, -6) and the parabola opens up, the function has two x-intercepts.
Comparing the given function with standard form,
f(x) = a x^2 bx + c
By comprison we get,
a = 2
b = -1
c = -6
Now, x-coordinate of vertex is given as,
x = -b/2a
put the values we get,
x = -(-1)/2*2
or, x = 1/4
Put the value of x in given function, so y-coordinate of the vertex is given as,
f(1/4) = 2(1/4)² - 1/4 - 6
= -49/6
= -6 1/8
Hence, The statements true about the the function f(x) = 2x2 – x – 6 are-
- The vertex of the function is (one-quarter, negative 6 and one-eighth).
- The function has two x-intercepts.
More about vertex :
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Answer:
Step-by-step explanation:
(pk) * r = p * (kr)
Answer:
Step-by-step explanation:
Sales price of 200 apples = 300
At this price, there was loss of Rs. 100
Means the cost of the apples was
300 + 100 = Rs. 400
To earn Rs. 100, they should have been sold for Rs. 500