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3 years ago

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7. Which of the following is true?

1 answer:

san4es73 [151]3 years ago

6 0

Answer:

The horizontal line test is used to determine if a functions inverse will be a function. You will compose the functions (that is, plug x into one function, plug that function into the inverse function, and then simplify) and verify that you end up with just "x". Here's what it looks like: Determine algebraically whether f (x) = 3x – 2 and g(x) = (x + 2)/3 are inverses of each other.

Use the horizontal line test to determine if a function is a one-to-one function.

If ANY horizontal line intersects your original function in ONLY ONE location, your function will be a one-to-one function and its inverse will also be a function.

hope this helps

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3 years ago

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4 years ago

What are the solutions to 3x^2+13x=10?

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Answer:

Step-by-step explanation:

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2 years ago

A man is standing at a radar base and observes an unidentified plane at an altitude 6000m flying towards the radar base at an an

liubo4ka [24]

Answer:

The speed in of the plane is 115.47 m/sec

Step-by-step explanation:

Given:

Height at which the plane is flying = 6000 m

Angle of elevation at the radar base = 30 Degrees

Angle of elevation at the radar base after one minute = 60 Degrees

To Find:

The Speed of the plane in meter per second = ?

Solution:

Let us use the tangent of the angle to find the distance (d) to a point directly below plane:

<u>when the angle is 30 degrees</u>

$tan(30) = \frac{6000}{d1}$

$d1 = \frac{6000}{tan(30)}$

$d1 = \frac{6000}{0.577}$

d1 = 10392.3 meters

<u>when the angle is 60 degrees</u>

$tan(60) = \frac{6000}{d2}$

$d2 = \frac{6000}{tan(60)}$

$d2 = \frac{6000}{1.732}\\$

d2 = 3464.1 meters

<u>distance travelled by aircraft in 1 min is </u>

=>d1 - d2

=>0392.3 - 3464.1

= 6928.2 m/min

<u>Now converting to m/sec</u>

=> $\frac{6928.2}{60}$

=>115.47 m/sec

4 0

3 years ago

8.) Write an inequality that can be used to represent this situation, where x represents Olivia’s sister’s age. (Short answer)

Bumek [7]

Answer:

The oldest age of Olivia’s sister can be 11 years.

Step-by-step explanation:

Given: Olivia’s sister’s age is x years.

To write: inequality that can be used to represent the given situation.

As Olivia is 6 years older than her sister,

Olivia's age $=x+6$

As the sum of their ages is no more than 28 years,

$x+(x+6)\leq 28\\2x+6\leq 28\\2x\leq 28-6\\2x\leq 22\\x\leq \frac{22}{2}\\ x\leq 11$

So, the oldest age of Olivia’s sister can be 11 years.

5 0

4 years ago