X+2y=10
6x+6y=6 -> x+y=1
(x+2y=10)-(x+y=1)=y=9
x+(2*9)=10
x+18=10
x=-8 and y=9 -> c
119.32 = 2 x 3.14 x r
r = 19cm
area = 3.14 x 19^2
= 1133.54cm2
Answer:
b
Step-by-step explanation:
Given
x³ + 5x² - 9x - 45 ( factor the first/second and third/fourth terms )
= x²(x + 5) - 9(x + 5) ← factor out (x + 5) from each term
= (x + 5)(x² - 9) ← factor as a difference of squares
= (x + 5)(x - 3)(x + 3)
Answer:
(D) 
Step-by-step explanation:
One could run this on a computer and verify the best fit through brute force. The more elegant way is, as usual, to think: What are special values of x for an exponential function? Zero, for starters - anything to the power of zero is 1. The function value for x=0 in the table is 10. Which choices A through D are close to 10 for x=0? Well, (C) and (D), the rest is too far. Next, what is the function value for the next easy one, x=1? The table says 30. Which of (C) and (D) is close to 30 for x = 1. It turns out we can safely exclude (C) because 10.84*1.77 is about 19 and that's way too far from 30. Let's check (D): 8.46*3.51=29.7 - that's quite close. Since there is no other candidate left, I bet my money on (D). Feel free to verify closeness for the other values of x if you are unconvinced yet.
Answer: 19
Step-by-step explanation: