Answer:
false: positive and negative numbers are on two completely opposite sides of a number line, coordinate plane, etc. Just like 4 is different than 5, it is the same with positive and negative numbers
So
y=ax^2+bx+c
(x,y)
sub the points and solve
(4.28,6.48)
6.48=a(4.28)^2+b(4.28)+c
(12.61,15.04)
15.04=a(12.61)^2+b(12.61)+c
well, for 3 variables, we need equations and therefor 3 points
maybe we are supposed to assume it starts at (0,0)
so then
0=a(0)^2+b(0)+c
0=c
so then
6.48=a(4.28)^2+b(4.28)
15.04=a(12.61)^2+b(12.61)
solve for a by subsitution
first equation, minut a(4.28)^2 from both sides
6.48-a(4.28)^2=b(4.28)
divide both sides by 4.28
(6.48/4.28)-4.28a=b
sub that for b in other equation
15.04=a(12.61)^2+b(12.61)
15.04=a(12.61)^2+((6.48/4.28)-4.28a)(12.61)
expand
15.04 =a(12.61)^2+(81.7128/4.28)-53.9708a
minus (81.7128/4.28) both sides
15.04-(81.7128/4.28)=a(12.61)^2-53.9708a
15.04-(81.7128/4.28)=a((12.61)^2-53.9708)
(15.04-(81.7128/4.28))/(((12.61)^2-53.9708))=a
that's the exact value of a
to find b, subsitute to get
(6.48/4.28)-4.28((15.04-(81.7128/4.28))/(((12.61)^2-53.9708)))=b
if we aprox
a≈-0.038573167896199
b≈1.6791118501845
so then the equation is
y=-0.038573167896199x²+1.6791118501845x
Answer:
R = 6
Step-by-step explanation:
Given the equation of the line is 2x - Ry = 30
We know that the equation of a line with a as x-intercept and b as y-intercept is 
Now convert the above given line to the standard form
Divide the line by 30 we get
Here the y-intercept is 30/R
Given y-intercept = 5
R = 6
<em>Note: It seems you may have unintentionally missed adding the answer choices. Thus, I am solving your question in general to give you the idea of how the percentage works, which anyways would solve your query.</em>
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Answer:
Please check the explanation.
Step-by-step explanation:
Given that we have to determine the expressions which are equivalent to 20 percent of 150.
First, we need to determine what actually 20 percent of 150 really brings.
i.e
20% of 150 = 20/100 × 150
= 30
Thus,
20% of 150 = 30
Therefore, any expression that is equivalent to 30 will be included in the answer to this question.
