Y = number of yellow marbles
r = number of red marbles
The total number of marbles
y+r=61
The number of yellow marbles compared to red.
y=2r+4
Substitute the second equation into the first equation because they are the same variable and, therefore, are the same number.
2r+4+r=61
Simplify
3r+4=61
Subtract 4 from both sides
3r=57
Divide both sides by three
r=19
We have the number of red marbles, but we are looking for the number of yellow marbles, so plug the 19 red marbles into either equation.
y=2(19)+4
or
y+19=61
Simplify
y=42
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Answer:
42 yellow marbles
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Equations:
y+r=61
y=2r+4
Answer:
13
Step-by-step explanation:
Answer:
Step-by-step explanation:
f(x)=4/5x^2+12x
For f(5)
: f(x) = 4/5(5)2 + 12(5)
= 4/5 × 25 + 60
= (4×5) + 60
= 20 + 60
= 80
What’s the full question?
Answer:
Let consider the following linear equation systems by using the known points and second-grade polynomial:
(-1, 7)
a + b + c = 7a+b+c=7
(5, 7)
25\cdot a + 5\cdot b + c = 725⋅a+5⋅b+c=7
(6,10)
36\cdot a + 6 \cdot b + c = 1036⋅a+6⋅b+c=10
After some algebraic manipulation, the values for the polynomial coefficients are found:
a = \frac{3}{5}a= 53 , b = -\frac{18}{5}b=− 518
, c = 10c=10
The polynomial is:
y = \frac{3}{5}\cdot x^{2} - \frac{18}{5}\cdot x+10y= 53
⋅
Step-by-step explanation:
For complete solution see the above attachment!