Answer:
i think around 10 gallons. im not sure though,
Step-by-step explanation:
Quadratic formula
factoring
graphing
completing the square
factoring by grouping
Rational Roots Theorem
synthetic division
Take a look at <span>5x^2 – 34x + 24 = 0. The last term could have been the result of these different possible muliplications: 1*24, 2*12, 3*8, 4*6. The leading term is 5, whose factors are 5 and 1. Thus, possible rational roots would be
4/5 (the 4 is a factor of 24 and the 5 is a factor of 5) and 6/1 (the 6 is a factor of 24 and the 1 is a factor of 5).
Using synth. div. to check whether 6 is actually a root:
___________________
6 / 5 -34 24
30 -24
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5 -4 0
since the remainder is 0, we can safely call 6 a "root."
Note the remaining coefficients, 5 and -4:
They correspond to the factor 5x - 4. If we set this difference = to 0, and solve for x, we get x = 4/5 (which is correct).
The roots of </span><span>5x^2 – 34x + 24 = 0 are x = 4/5 and x= 6/1.</span>
Answer: 4
Step-by-step explanation:
Protons have a positive charge, so 4 protons would have a charge of positive 4
Answer:
5
Step-by-step explanation:
(f+g)(2) means f(2)+g(2).
f(2) means to evaluate the expression called f at x=2.
So f is x+1 and it wants us to plug in 2 for x.
x+1 with x=2
2+1
3
This means f(2)=3, f(2) has value 3.
g(2) means to evaluate the expression called g at x=2.
So g is x^2-x and it wants us to plug in 2 for x.
x^2-x with x=2
2^2-2
4-2
2
This means g(2)=2, g(2) has value 2.
Let's go back to (f+g)(2).
(f+g)(2)=f(2)+g(2)
(f+g)(2)= 3 + 2 (I replaced f(2) with 3 and g(2) with 2).
(f+g)(2)=5
Answer:
Answer: {-5, 5}. Product is -25, which is the minimum.
Step-by-step explanation:
let a, b denote the two numbers. We know that b-a=10.
We are looking for a minimum over the product a*b.
One can minimize this using derivatives. In case you have not yet had derivatives, you can also use the vertex of a parabola (since the above is a quadratic form):
The minimum is at the vertex a=-5 and so b=5
Their distance is 10, and their product attains the minimum value of all possiblities -25.
