Answer:
-375
Step-by-step explanation:
-75 * 5
= -375.
Step-by-step explanation:
f(x) = 9 * 81^x
When x = -1/2,
f(-1/2) = 9 * 81^(-1/2) = 9 * (1/9) = 1.
Answer:
y - 12 = 9(x - 4)
Step-by-step explanation:
The vertex (h, k) is (4, 12) and the point (5, 21) is on the graph. Assuming that this is a vertical parabola, opening up (because the coordinate 21 is greater than the coordinate 12), we insert the knowns into y - k = a(x - h)^2, obtaining
21 - 12 = a(5 - 4), or 9 = a. With a known, we can write the desired equation:
y - 12 = 9(x - 4)
Answer:
The correct answer is t < 60.
Step-by-step explanation:
Lauren wants to keep her cell phone bill below $60 per month.
Lauren's current cellphone plan charges her a fixed price of $30 and per text price for one text is $0.50.
Let Lauren sends t texts in a complete month.
Total money spent on texts in a month is given by $ (0.50 × t)
Therefore Lauren's total spent in a month is given by $ (30 + (0.50 × t)).
But this amount should be under $60 as per as the given problem.
∴ 30 + (0.50 × t) < 60
⇒ (0.50 × t) < 30
⇒ t < 
⇒ t < 60.
So in order to keep her phone monthly bill under $60, Lauren should keep her number of texts below 60.
ANSWER

EXPLANATION
The point-slope equation of a straight line is given by:

Where m is the slope.
The line goes through (-5,4) and (1,6).
The slope of this line is,


The point-slope equation is
