Based on the graphs of f (x) and g(x), in which interval(s) are both functions increasing? Polynomial function f of x, which increases from the left and passes through the point negative 5 comma negative 4 and goes to a local maximum at negative 4 comma 0 and then goes back down through the point negative 3 comma negative 2 to a local minimum at the point negative 2 comma negative 4 and then goes back up through the point negative 1 comma 0 to the right, and a rational function g of x with one piece that increases from the left in quadrant 2 asymptotic to the line y equals 1 passing through the points negative 6 comma 2 and negative 3 comma 5 that is asymptotic to the line x equals negative 2 and then another piece that is asymptotic to the line x equals negative 2 and increases from the left in quadrant 3 passing through the point negative 1 comma negative 3 and 2 comma 0 that is asymptotic to the line y equals 1 (–°, °) (–°, –4) (–°, –4) ∪ (–2, °) (–°, –4) ∪ (2, °)
Answer:
#11: last option is answer
#12: first option is answer
Step-by-step explanation:
#11) 5x + 6 ≤ 11
5x ≤ 5
x ≤ 1 to graph this you need a solid dot on 1 and shading to the left
#12) 5p+ 4 > 14
5p > 10
p > 2 to graph this you need an open dot on 2 and shading to the right
Answer:
-1/32
Step-by-step explanation:
we have
Remember that
The exponent "product rule" tells us that, when multiplying two powers that have the same base, you can add the exponents
so
Hello!
The time difference between checkpoint 1 and checkpoint 2 is an hour and a half.
At checkpoint A, the total amount of miles driven is 120. At checkpoint B, the total amount of miles driven is 195.
To find the amount of miles driven between checkpoint 1 and 2, you will subtract the amount of miles at checkpoint 1 from checkpoint 2:
195-120= 75
The car drove 75 miles between 1:00pm to 2:30 pm. Because the total time between the checkpoints was an hour and a half, we can divide it by three (90 minutes total). We also need to divide the number of miles (75) by three to find an accurate answer.
90/3=30
75/3=25
The car drove 25 minutes in half an hour. Now, one hour consists of 60 minutes, so we will multiply both calculations by 2 (for the total hour and the total amount of miles driven in the hour):
30x2=60
25x2=50
The car drove 50 miles per hour between checkpoints A and B.
I hope this helps you! Have a great day!
A = LW......W = A/L
A = 5/8
L = 10
W = (5/8) / 10
W = 5/8 * 1/10
W = 5/80 = 1/16
