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garik1379 [7]
3 years ago
13

Let f(x)=x-2 and g(x)=x2-7x-9 fins f(g(-1))

Mathematics
1 answer:
vlabodo [156]3 years ago
6 0
The answer is -3 because you’re plugging g(x) into f(x). For every x there is in f(x), plug in g(x)’s equation. After you get another equation (simplified), which is x^2 -7x -11, plug -1 for every x and condense.
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A system for tracking ships indicated that a ship lies on a hyperbolic path described by 5x2 - y2 = 20. the process is repeated
malfutka [58]
Answer:
The ship is located at (3,5)

Explanation:
In the first test, the equation of the position was:
5x² - y² = 20 ...........> equation I
In the second test, the equation of the position was:
y² - 2x² = 7 ..............> equation II
This equation can be rewritten as:
y² = 2x² + 7 ............> equation III

Since the ship did not move in the duration between the two tests, therefore, the position of the ship is the same in the two tests which means that:
equation I = equation II

To get the position of the ship, we will simply need to solve equation I and equation II simultaneously and get their solution.

Substitute with equation III in equation I to solve for x as follows:
5x²-y² = 20
5x² - (2x²+7) = 20
5x² - 2y² - 7 = 20
3x² = 27
x² = 9
x = <span>± </span>√9

We are given that the ship lies in the first quadrant. This means that both its x and y coordinates are positive. This means that:
x = √9 = 3

Substitute with x in equation III to get y as follows:
y² = 2x² + 7
y² = 2(3)² + 7
y = 18 + 7
y = 25
y = +√25
y = 5

Based on the above, the position of the ship is (3,5).

Hope this helps :)
7 0
3 years ago
It costs $38 for 2 people to go to the movie theater. 40% of the money was for snacks.What was the cost of each movie ticket?
stira [4]

Answer:

11.4

Step-by-step explanation:

40% of 38 is 15.2, 38-15.2=22.8. 22.8/2=11.4 (since there's two people)

4 0
3 years ago
Donna is on the swim team. Each week she swims a total of 8000 meters. How many kilometers does she swim each week? Be sure to i
aivan3 [116]

Answer:

Donna swims 8 km each week.

Step-by-step explanation:

To be able to find the answer, you have to consider that 1 km is equal to 1000 meters and with this, you can use  rule of three to find the kilometers in 8000 meters:

1 km  →  1000 meters

  x    ←   8000 meters

x=(1*8000)/1000=8 km

According to this, the answer is that Donna swims 8 km each week.

7 0
3 years ago
For the graph, which are possible functions of f and g? ​
GuDViN [60]

Answer:

f= 3ˣ

g= (1/3)ˣ

Step-by-step explanation:

5 0
2 years ago
Plz help me find this answer
cestrela7 [59]

Answer:

C

You have to check which of numbers is the lowest.

Cheers :D

3 0
2 years ago
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