<span> f(x) = ax^2 + bx + c
f(0) = ax^2 + bx + c = 5, c = 5
f(-2) = 4a + -2b + 5 = 1 ----------(1)
f(4) =16a + 4b + 5 = -59 ----------(2)
4a -2b = -4
</span><span>16a + 4b = -64
16a + 4(-2-2a)= -64
16a - 8 - 8a = -64
8a = -56
<span>a = 7
</span>4a - 2b = -4
28 - 2b = -4
b = 16
</span><span>f(x) = 7x^2 + 16x + 5</span>
Answer:
A= 320 and B = 280
Step-by-step explanation:
- Amount of sodium from first material = 0.15*A
- Amount of sodium from second material = 0.3*B
Now, if we combine the two chemicals to get a new chemical, which is 22% sodium, then the total amount of combined sodium is amount of sodium from both sources
<=> 0.15A + 0.3B = 0.22*(A+B)
<=> 0.07A - 0.08B = 0 (1)
- But we have a second equation, because we know that A + B = 600 (2)
Solve the system of two equations, (1) and (2), we have:
A= 320 and B = 280
Try to do pathegoram theorem and you will find your answer
Answer:
64%
Step-by-step explanation:
divide 80 by 125 and get .64
The triangles are shown to be similar, therefore

The answer is 9 units