Answer:
The value of c that satisfies the conclusion of the Mean Value Theorem applied to f on the interval [1,4] is approximately 0.1793.
Step-by-step explanation:
Given f(x) = 5cos²x² + ln(x + 1) - 3
The Mean Value Theorem applied to f on an interval [a, b] is given as
f'(x) = c = [f(b) - f(a)]/(b - a)
= [f(4) - f(1)]/(4 - 1)
c = [f(4) - f(1)]/3
f(4) = 5(cos4²)² + ln(5) - 3
= 3.2296
f(1) = 5(cos1²)² + ln(2) - 3
= 2.6916.
c = (3.2296 - 2.6916)/3
= 0.538/3
≈ 0.1793
Answer:
y = -7/4x - 11
Step-by-step explanation:
formula is y = mx + b
m is the slope
b is the y intercept
y = -7/4x -11
which is the first one
Answer: 11
Step-by-step explanation:
Based on te question in the picture (which is different from what you wrote)
x^2 - 3x + 1
-2^2 - 3(-2) + 1
4 + 6 + 1 = 11
Step-by-step explanation:
$914.42 + $110= $1024.42 a month
Per month he pays $115 + $14 + $100 + $45 + $70 + $100 + $40
That comes to a total of $484 a month in expenses.
Subtract $484 from $1024.42
Assuming the side hustle is consistent that leaves $540.42 in additional income.
If he wants to afford the house rent, the best thing he can do is look for a better job. If that cannot be done for whatever reason, he should drop the Netflix subscription(+14), not go to the gym(+70), keep his pocketbook tight and not buy gifts(+40), and buy bulk type items from stores.
If he can make his dollar go farther by spending his money on bigger items of food he could probably spend only $85 a month on food.
With this advice he could save an additional $139 a month.
He now has $679. 42
He should also look at finding a cheaper bus pass around that $75 dollar range or just pay the fair whenever he gets on out of pocket (ONLY IF HE IS GOING TO WORK)
That totals out at $754.42
He can now afford rent.
Answer:
fist one is scalene. second one is no two sides are congruent