Matters has 456:8 What s his rate
1 answer:
We are given ratio 456:8.
The given ratio can be written in fraction form as
In order to find the rate, we need to divide 456 by 8, because it would give the unit value.
When we divide 456 by 8, we first take multiple of 8 closer to the number 45.
8*6=48 but it's greater than 45, so we would take 8*5 =40.
Subtracting 40 from 45, we get 5.
Getting 6 down, we get 56. Take multiple of 8 upto 56.
8*7= 56.
56 -56=0.
So, on dividing 456 by 8 we got 57.
Therefore, rate is 57 per unit.
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<u>Answer:</u>
The quadratic function passing through the points (0,-3), (1,2), and (2,-1) is
<u>Solution: </u>
Given that required function is quadratic
And function is passing through points (0 , -3) , (1 , 2) and (2 , -1)
General form of a quadratic function is ----(A)
f(x) is nothing but output value that is y.
That is f(x) = y
So --- (1)
Let’s use equation (1) to get required function.
Given that function passes through (0 , -3) means when x = 0 , y = -3
On substituting value of x and y in equation (1) we get
-3 = 0 + 0 + c
c = -3
On substituting value of c in equation (1) we get
---(2)
Function also passes through point (1, 2) that is at x = 1 , y = 2.
On substituting value of x and y in equation (2) we get
2 = a + b – 3
a + b = 5
b = 5 - a -------(3)
Also given function passes through point ( 2 , -1) means when x = 2 , y = -1
On substituting value of x and y in equation (2) we get
-1 = 4a + 2b – 3
4a + 2b = 2
2a + b = 1 ------- (4)
On substituting value of b from equation (3) in equation (4), we get
2a + (5 - a ) = 1
a + 5 = 1
a = 1-5 = -4
From equation (3) b = 5 – a = 5 – (-4) = 9
b = 9
Now we have a = -4, b = 9 and c = -3
On substituting calculated values of a, b, and c in equation (A) we get
Hence required quadratic function is