<h2><u>Answer</u><u>:</u><u>-</u><u>1</u><u>9</u><u>3</u></h2>
Step-by-step explanation:
<h3>
Given equation:<u>-</u><u> </u><u>6x²</u><u> + x - 8 = 0</u></h3>
- we know that the discriminant of a quadratic is the expression inside the radical of the quadratic formula.
<h3 /><h3><u>lets </u><u>see:</u><u>-</u></h3>
- 6x² + x - 8 = 0
- b²-4(ac)
- here a= 6,b=1,c=-8
- (1)²-4(6×(-8))
- 1-4(-48)
- 1+192
- 193
<u>All </u><u>the </u><u>best!</u>
Answer:
is the angle of elevation from the boat to the lighthouse.
Step-by-step explanation:
From the boat, the angle through which you will raise your head to see the light house is the angle of elevation, which is
.
See graph for the illustration.
The correct answer is A
To make sure we don't have negatives under the square root, we specify that

(x is greater than or equal to 0). We'll use this fact later on
--------------------------------------------
Start with the given inequality

and square both sides to get

. Couple this with the fact that

means we have this compound inequality

What does this mean? It means that we can pick any value from 0 to 49 (including both endpoints) and it will be a solution to the inequality. This applies to the values
49, 48 and 44Answers: Choice C, Choice D, Choice E
Answer:
There are 18 tours offered each day.
Step-by-step explanation:
There are a few ways to solve this problem. Since tours are offered every 1/3 hour, we can take the amount of minutes in an hour (60) and divide by 3: 60 ÷ 3 = 20minutes. So, every 20 minutes there is a tour. Since the tours are offered every 20 minutes, or three times every hour, we can take the total time the museum is open and multiply this number by 3. The amount of hours from 10am - 4pm is 6 hours. 6 hours x 3 tours/hour = 18 total tours offered each day.
Answer:
27/64
Step-by-step explanation:
(7×16)+(5×64)64×16
=112+3201/024
=432/1024
Simplifying 432/1024, the answer is
=27/64