Answer:
two real, unequal roots
Step-by-step explanation:
y is definied as y = 3x - 1. Substitute 3x - 1 for y in xy = 9, obtaining:
x(3x - 1) = 9. Then:
3x^2 - x - 9 = 0. In this quadratic, the coefficients are a = 3, b = -1 and c = -9.
Calculating the discriminant b^2 - 4ac, we get (-1)^2 - 4(3)(-9), or 1 + 108, or 109. Because the discriminant is positive, we have two real, unequal roots.
T=16x+96 so if he wants to receive 130$ a day he must work at least 3 hours of over time.
Answer:
The answer is 104,453.
Step-by-step explanation:
Multiply 1,023 and 102 first because you always have to do your problems left to right in math. Your equation should now look like 104,346 + 112 - 5. Calculate the sum of the positive numbers by adding 104, 346 + 112. Your equation should now be 104,458 - 5. Then lastly, you subtract the numbers 104,458 and 5, and you should get 104, 453 as your answer.
Answer:
x = -5
Step-by-step explanation:
These are alternate exterior angles and alternate exterior angles are equal
110 = x+115
Subtract 115 from each side
110-115 = x+115-155
x = -5
1. Simplify both sides
−6n=−5−5n
−6n=−5+−5n
−6n=−5n−5
2. Add 5n to both sides
−6n+5n=−5n−5+5n
−n=−5
3. Divide both sides by -1.
−n
/−1
=
−5
/−1
n=5
So the variable n, is equal to 5