X2+13x-48
(x-3)(x+16)
X=3, X=-16
3 and -16 are the Zeros
The number has 2 digits - let's call them x and y. The positive difference between the two combinations (lowest-highest and highest-lowest) is always equal to the positive difference of x and y, multiplied by 9.
For example:
76 and 67: 76 - 67 = 9 and ((7-6)*9) = 1*9 = 9
73 and 37: 73 - 37 = 36 and ((7-3)*9) = 4*9 = 36
Primary equation: A(x)= (5y)(3X)
Secondary equation: 5y+3X=1000
y=200-(3X)/5
A(x)=3X(1000-3X)
A(x)=3000X-9X²
Now, find the derivative of A(x) to find the max... here's the work for that, or you could guess and check.
A'(x)=3000-18X
Set derivative equal to 0
0=3000-18X
166.6666666=X
Now test the intervals
(0,166.6666) (166.66666, 1000)
1st derivative is + 1st derivative is -
Plug the X value back into the secondary equation
5y+3(166.666666)=1000
5Y=500
Y=5
Answer:
X= 166.6666666666
Y=5
Please note, this is entry level calculus, and your teacher may expect you to use a different, longer route such as guess and check.
Answer:
C
Step-by-step explanation:
1. press 9
2. then the exponet key
3. then press 6
4. finally press the equal sign (=)
Answer:
1
Step-by-step explanation:
sin²x = (sinx)²
cos²x = (cosx)²
Step 1: Define
sin²45° + cos²45°
Step 2: Rewrite
(sin45°)² + (cos45°)²
Step 3: Evaluate
sin45° = √2/2
cos45° = √2/2
(√2/2)² + (√2/2)²
1/2 + 1/2
1
