Step-by-step explanation:
If x is the mass of 30% copper alloy, and y is the mass of 65% copper alloy, then:
x + y = 80
0.30x + 0.65y = 0.51(80)
Solving the system of equations using substitution:
0.30x + 0.65(80 − x) = 0.51(80)
0.30x + 52 − 0.65x = 40.8
11.2 = 0.35x
x = 32
y = 80 − x
y = 48
The metalworker needs 32 kg of 30% copper alloy and 48 kg of 65% copper alloy.
The don't intersect because the lines are parallel
Hello!
The discriminant of quadratic functions is: b² - 4ac. Since the equation is in standard form, which is Ax² + Bx + C = 0 , we can substitute those values into our discriminant and simplify.
The value of the discriminant will tell us how many solutions there are to the given quadratic equation.
A positive discriminant will have two real solutions.
A discriminant of zero will have one real solution.
A negative discriminant will no real solutions.
1. Substitute, a = 16, b = 8, c = 1.
8² - 4(16)(1)
64 - 4(16)(1)
64 - 64(1)
64 - 64
0
Since the discriminant is zero, the answer is choice A, double root, because since it is raised to the power of 2, it must has two roots, but in this case, both of the roots the same x-values.
Subtracting -9 from any number is the same as
<u></u>
<u>A</u>
<u>subtracting 9 from that number.</u>
Answer:
- Equation: (650 + 20) < (450 + 25)
- Sentence to answer with: Cardinal Gold Club is the better golf couse because it is cheaper when we compare to total of both prices altogether.
Step-by-step explanation:
The reason why this club is better is because in Red Crest the fee is 650 and the charges per round is 20 so we add 650 + 20 to get the total of 670. Now we have to find the total of the Cardinal Golf Club and to do that we have to add their fee of 450 + the charges for each round which is 25 and 450 + 25 equals to 475. Lastly we have to compare to find the less/cheaper one ehich is Cardinal.
Im avalible on Mondays to Thursday from 8:00 A.M to 4:00 P.M.
--Priya
