The last one represents a function ..
Answer:
The directrix is y=6 and focus is (0,4)
The equation of the parabola is,
20-4y=x²
(2x+3y)+(7x-3y)
First, group like terms together, so (2x+7x) + (3y-3y). Then simplify within the parentheses. 2x+7x = 9x and 3y-3y = 0, so you have 9x, which cannot be simplified any further. The answer is 9x.
Answer:
$1,592.74
Martha will need to pay $1,592.74 more
Step-by-step explanation:
Using the compound interest/inflation formula;
A = P(1+r)^(t)
Where;
A = final value
P = initial value = $10,000
r = inflation rate = 3% = 0.03
t = time = 5 years
Substituting the values;
A = $10,000(1+0.03)^(5)
A = $11592.740743
A = $11,592.74
How much more will Martha need to save;
C = final value - initial value = A - P
C = $11,592.74 - $10,000
C = $1,592.74
Martha will need to pay $1,592.74 more
-2log_5 7x = log_5 2
log_5[1/(7x)^2] = log_5 2
log_5(1/49x^2) = log_5 2
log_5(1 - 49x^2) = log_5 2
1 - 49x^2 = 2
You finish.
