Answer: 325
Step-by-step explanation:
Student tickets: x
Adult tickets: x + 71
Total: 579
x + x + 71 = 579
2x + 71 = 579
2x = 579 - 71
2x = 508
x = 508/2
x = 254
Adult tickets = x + 71 = 254 + 71 = 325
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Answer:
m>-4
Step-by-step explanation: First subtract 18 from both sides, then simplify 30-18, which equals 12. Divide both sides by -3, and flip your sign.
Answer:
Step-by-step explanation:
Given the polynomial function: 
To examine its end behavior, we create a table of values that we can then examine.
From the table, we see a repeating pattern of positive values of h(x) with h(1)=-1 being an axis of symmetry.
Therefore, as:
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
------ --------------------------
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>
