Answer:
Increasing
Step-by-step explanation:
Remember that f(x) is the same as y in slope intercept form y = mx + b.
We don’t have a number for “b” which means the line goes across the origin.
Since 5 replaces m, that is the slope and since it’s positive, it is increasing.
Best of Luck!
Answer:
f(x + 1) = 3x² + 5x + 7
Step-by-step explanation:
To find f(x + 1), substitute x = x + 1 into f(x), that is
f(x + 1) = 3(x + 1)² - (x + 1) + 5 ← expand (x + 1)² using FOIL
= 3(x² + 2x + 1) - x - 1 + 5 ← distribute parenthesis by 3
= 3x² + 6x + 3 - x - 1 + 5 ← collect like terms
= 3x² + 5x + 7
Quadratic formula: (-b +/- sqrt(b^2 - 4ac)) / 2a
a = 10
b = -1
c = 9
1 +/- sqrt((-1)^2 - 4(10)(9)) / 2(10)
1 +/- sqrt(1 - 360) / 20
x = 1 +/- sqrt(359i) / 20
Hope this helps!
Answer:
5.54 inches of rain
Step-by-step explanation:
Monday - 3.11
Tuesday - 0.81
Wednesday - 0.81 x 2= 1.62
3.11 + 0.81 + 1.62=5.54 inches
< o and < m are congruent because opposite angles are congruent
3t - 15 = 2t + 10
3t - 2t = 10 + 15
t = 25
3t - 15 = 3(25) - 15 = 75 - 15 = 60...< m = 60
< m and < o are consecutive angles and they are supplementary....so they add up to 180
< m + < o = 180
60 + < o = 180
< o = 180 - 60
< o = 120
3s = 120
s = 120/3
s = 40
