Answer:
tHANKS FOR THE POINT
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Step-by-step explanation:
Answer:
The answer to your question is No
Step-by-step explanation:
Data
function f(x) = 2x³ + x² - 10x - 12
To know if a number is a root of a function, evaluate the function on that number, if the result is zero, then that number is a root.
Substitution
f(-2) = 2(-2)³ + (-2)² - 10(-2) - 12
Simplification
f(-2) = 2(-8) + 4 + 20 - 12
f(-2) = -16 + 4 + 20 - 12
f(-2) = -28 + 24
f(-2) = -4
-2 is not a root that the function.
Answer: B ( 2,9) .
Step-by-step explanation:
Answer:
2 hours
Step-by-step explanation:
The relation between time, speed, and distance is ...
time = distance/speed
For a kayak speed of k miles per hour in still water, the speed upstream is (k-2) and the speed downstream is (k+2). Over the distances given, the times are the same, so we can write ...
10/(k-2) = 14/(k+2)
Multiplying by (k+2)(k-2) gives ...
10(k+2) = 14(k -2)
10k +20 = 14k -28 . . . . . eliminate parentheses
48 = 4k . . . . . . . . . . . . . . add 28-10k
12 = k
Then the time for 28 miles downstream is ...
time = 28 / (12 +2) = 2 . . . . hours
It will take the person 2 hours to kayak 28 miles downstream.
Answer: First option: 800 feet
Solution:
Height: h=400 sqrt(3)
Distance between the zoo and the point in the ground below the helicopter: d1=?
Distance between the library and the point in the ground below the helicopter: d2=?
Distance between the zoo and the library: d=?
d=d2-d1
tan 60°= h/d1
sqrt(3)=400 sqrt(3) / d1
Solving for d1:
sqrt(3) d1 = 400 sqrt(3)
d1= 400 sqrt(3) / sqrt(3)
d1=400
tan 30°= h/d2
sqrt(3) / 3=400 sqrt(3) / d2
Solving for d2: Cross multiplication:
sqrt(3) d2 = 3 [ 400 sqrt(3) ]
sqrt(3) d2 = 1,200 sqrt(3)
d2= 1,200 sqrt(3) / sqrt(3)
d2=1,200
d=d2-d1
d=1,200 feet - 400 feet
d=800 feet
