Answer:
Hello,
c) 720
Step-by-step explanation:
consonants : 5
5 x 4 x 3 x 2 x 1 = 120
other letters : 3
3 x 2 x 1 = 6
and 6 x 120 = 720
720 arrangements here
9514 1404 393
Answer:
a, c
Step-by-step explanation:
There are 3 linear factors, so the function is odd degree (cubic). The coefficients of x are all positive, so the function has the general shape of an increasing function, left-to-right. The three linear factors mean that the curve crosses the x-axis 3 times, changing sign each time.
The x-intercepts are the values of x that make the factors zero: -7, 3/2, 5. The shape of the function tells you it will be negative for x < -7. Between -7 and 3/2, it will be positive, since it changes sign at x=-7. It changes sign again at x=3/2, so will be negative for 3/2 < x < 5.
In short, the function will be negative at any point that has an odd number of function zeros to its right (taking multiplicity into account).
The function is negative on intervals (a) and (c).
Answer:
9/100
Step-by-step explanation:
Answer:
Step-by-step explanation:
Two angles are supplementary when their sum is 180
∠AXB + ∠BXC = 180° {Supplementary angles}
8x + 10 + 2x - 20 = 180
Add the like terms
10x - 10 = 180
10x = 180 + 10
10x = 190
x = 190/10
x = 19°
∠AXB = 8x + 10
= 8 * 19 +10
= 152 + 10
∠AXB = 162