Whic number is a prime number below 65,56,53,90
1 answer:
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Answer:
Step-by-step explanation:
given ,
equation y=ax²+bx+c
passing through points (1,6), (3, 20), and (−2,15).
then these points will satisfy the equation
at (1,6)
y = a x²+b x+c
6 = a(1)² + b (1) + c
a + b + c = 6------(1)
at (3 , 20)
y = a x²+b x+c
20 = a(3)² + b (3) + c
9 a + 3 b + c = 20------(2)
at (−2,15)
y = a x²+b x+c
15 = a(-2)² + b (-2) + c
4 a -2 b + c = 15------(3)
solving equation (1),(2) and (3)
a = 6 - b - c
9 (6 - b - c)+ 3 b + c = 20
6 b + 7 c = 34-------(4)
4 (6 - b - c) -2 b + c = 15
2 b + c = 3----------(5)
on solving equation (4) and (5)
Since the ratio of mother to daughter is 4:1, the weight of the mother and daughter together is five times the weight of the daughter.
In fact, if the daughter weights pound, the mother weights
pounds, and the total weight is
.
We know that this total is 185 pounds, so we have
So, the daughter weights 37 pounds.
Option C is the correct values of the relationship between the number of cakes the baker makes and the number of bags of flour uses.
Solution:
Option A: Ratio of cakes baked to bags of flour used
Here the ratios are not same.
So, this option is not true.
Option B: Ratio of cakes baked to bags of flour used
Here the ratios are same.
So, this option is true.
Option C: Ratio of cakes baked to bags of flour used
Here the ratios are not same.
So, this option is not true.
Option D: In this table cakes baked is 6 and the bags of flour is 18.
But a baker made 18 cakes using 6 bags of flour.
So, this option is not true.
Hence option C is the correct values of relationship between the number of cakes the baker makes and the number of bags of flour uses.