20 and -1: they add into 19 and since a negative times a positive is a negative they multiply to -20
The weight of the each pile yesterday would be 6 and 8 pounds.
<h3>What is the unitary method?</h3>
The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
Given;
Yesterday the ratio of seeds in these piles was 3:4.
Let it be 3x and 4x.
If the 2 pounds of seeds is added in the bigger pile, then it become
4x + 2
He also ate 1/4 pound from the smaller pile, then
3x - 1/4
Now the quantities of seeds in those piles is in the ratio of 5:16.
So, 4x + 2 = 5x
3x - 1/4 = 16x
Solve;
So, 4x + 2 = 5x
2 = 5x - 4x
x = 2
The weight of the each pie would be
3x = 6 pound
4x = 8 pound
Hence, The weight of the each pile yesterday would be 6 and 8 pounds.
Learn more about the unitary method;
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The function f(x) is less than 0 at x < -1.8
<h3>How to analyze the graph?</h3>
The missing graph is added as an attachment
The interval where f(x) < 0 are the intervals where the y value of the function is less than 0.
This in other words, represent the negative y-axis
From the attached graph, the function f(x) is less than 0 at x < -1.8.
This extends till x = infinity
Hence, the function f(x) is less than 0 at x < -1.8
Read more about function interval at:
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Hello,
1) we imagine a linear function:
y=ax+b
(1,3)==>3=a+b (1)
(2,6)==>6=2a+b (2)
(2)-(1)==>a=3==>b=3-3=0
So we find y=3x
But (3,11)==>11=3*3 is false ==> no linear function A,B and D are false.
2) we imagine a quadratic function
y=ax²+bx+c
(1,3)==>3=a+b+c (1)
(2,6)==>6=4a+2b+c (2)
(3,11)==>11=9a+3b+c (3)
(3)-(2)==>5a+b=5 (4)
(2)-(1)==>3a+b=3 (5)
(4)-(5)==> 2a=2==> a=1
==> b=5-5*1=0
(1)==>3=1+0+c==>c=2
The quadratic function is y=x²+2
and you have make a mistake in your question!
Answer is C if you change in y=x²+2
Proof:
(4,18) 18=1*4²+0*4+2=16+2=18
