Answer:
6 to the square root of 2
Step-by-step explanation:
square root congruency theorem
The asymptote cannot be x= because x can be any number. If you think about it, you can take a number to any exponent.
If x is a positive exponent, y is positive.
If x is a nevative exponent, y decreases, but is still positive. This is because a number to a negative exponent equals 1 over the number to the positive exponent. Thus, it is smaller, but still positive.
If x is 0, y is positive again because anything to the zero is positive 1.
There is no way y could be less than or equal to zero. So, there is an asymptote at y=0.
Also, set the equation equal to 0 and solve. You should end up with 4^x=0. Since no exponenent can make a number zero, this isn't possible, so y cannot equal zero.
Here is the graph for a visual:
Answer:
1.28
Step-by-step explanation:
4/10 + 88/100
so this is unlike denominators so
4 times 10 and 10 times 10 equal to 40/100
so 40/100 + 88/100 equal to 128/100 so we simplify 128÷2 and 100÷2 equal to 64/50 and 64÷2 and 50÷2 equals 32/25 we do long division then it is equal to 1.28
Answer:
Watson's garden shop has the better deal on the lawn mower.
Hope this helped :)
Step-by-step explanation:
Watson's $130 - 50% = $65
Hartman's $130 - 40% = $78
$78 - 15% = About $66
Answer:
x³ - 8x² - 11x + 148
Step-by-step explanation:
Given that x = 6 + i is a root then x = 6 - i is also a root
Complex roots occur as conjugate pairs.
The factors are therefore (x - (6 + i)) and(x - (6 - i))
Given x = - 4 is a root then (x + 4) is a factor
The polynomial is the product of the factors, that is
p(x) = (x + 4)(x - (6 + i))(x - (6 - i))
= (x + 4)(x - 6 - i)(x - 6 + i)
= (x + 4)((x - 6)² - i²)
= (x + 4)(x² - 12x + 36 + 1)
= (x + 4)(x² - 12x + 37) ← distribute
= x³ + 4x² - 12x² - 48x + 37x + 148
= x³ - 8x² - 11x + 148