Answer: 3 : 2
Step-by-step explanation:
Let A represents the total population of country A and B represents the total population of country B.
According to the question,
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But, Again according to the question,
The total population that claims that they are from A = one half of the total population of A and B.
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Answer:
8
Step-by-step explanation:
x=pizza
y= breadsticks
3x+2y=30
2x+3y=25
first we myltiply the top equation with 3 and then w emultiply the lower equation with -2 so it is
9x+6y=90
-4x-6y= -50
now we can add them together and the y contracts
5x=40
now we divide it by 5
x=8
So pizza costs 8
Answer:
y = x^2/ 60 + 15
=>( x - h)^2 = 4a[ (x^2/6 + 15) - k ].
Step-by-step explanation:
Okay, in order to solve this question very well, one thing we must keep at the back of our mind is that the representation for the equation of a parabola is given as ; y = ax^2 + bx + c.
That is to say; y = ax^2 + bx + c is the equation for a parabola. So, we should be expecting our answer to be in this form.
So, from the question above we are given that "the satellite dish will be in the shape of a parabola and will be positioned above the ground such that its focus is 30 ft above the ground"
We will make an assumption that the point on the ground is (0,0) and the focus is (0,30). Thus, the vertex (h,k) = (0,15).
The equation that best describes the equation of the satellite is given as;
(x - h)^2 = 4a( y - k). ------------------------(1).
[Note that if (h,k) = (0,15), then, a = 15].
Hence, (x - 0)^2 = (4 × 15) (y - 15).
x^2 = 60(y - 15).
x^2 = 60y - 900.
60y = x^2 + 900.
y = x^2/ 60 + 15.
Hence, we will have;
(x - h)^2 = 4a[ (x^2/6 + 15) - k ].