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alexandr1967 [171]
3 years ago
6

Verify if f and g are inverse functions.

Mathematics
1 answer:
Andrej [43]3 years ago
6 0
They are not, because inverse means multiply by -1, therefore, there should be a positive sign in front of 2 and a negative in front of x for G(x) = x - 2
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If you had to add two fractions with denominators of 4 and 5. What might the denominator of the sum be? Show more than one possi
mylen [45]

Answer:

your answer would be 20 because you would find what both can go into.

5 0
3 years ago
Which of the following best describes the solution to the system of equations below?
liraira [26]

For this case we have the following system of equations:

6x + 3y = 6\\6x + 3y = 14

We multiply the first equation by -1:

-6x-3y = -6

We have the following equivalent system:

-6x-3y = -6\\6x + 3y = 14

We add the equations:

-6x + 6x-3y + 3y = -6 + 14\\0 = 8

Equality is not fulfilled, so the system of equations has no solution.

Answer:

Option C

5 0
3 years ago
Jason and Britton are driving to St. George. Jason got a 20 mile head start and drove an
harina [27]

Answer:

  2 hours, 150 miles

Step-by-step explanation:

The relation between time, speed, and distance can be used to solve this problem. It can work well to consider just the distance between the drivers, and the speed at which that is changing.

<h3>Separation distance</h3>

Jason got a head start of 20 miles, so that is the initial separation between the two drivers.

<h3>Closure speed</h3>

Jason is driving 10 mph faster than Britton, so is closing the initial separation gap at that rate.

<h3>Closure time</h3>

The relevant relation is ...

  time = distance/speed

Then the time it takes to reduce the separation distance to zero is ...

  closure time = separation distance / closure speed = 20 mi / (10 mi/h)

  closure time = 2 h

Britton will catch up to Jason after 2 hours. In that time, Britton will have driven (2 h)(75 mi/h) = 150 miles.

__

<em>Additional comment</em>

The attached graph shows the distance driven as a function of time from when Britton started. The distances will be equal after 2 hours, meaning the drivers are in the same place, 150 miles from their starting spot.

3 0
1 year ago
Order the numbers from least to greatest.<br> 54%, 2/5, -0.45<br><br> SHOW YOUR WORK!
Tom [10]

Answer:

-0.45, 2/5, 54%

Step-by-step explanation:

54%=54/100

=87/50

2/5=20/50

-0.45 must be the smallest as it is negative

7 0
2 years ago
Write the quadratic equation whose roots are -2 and 1, and whose leading coefficient is 4 .
Kaylis [27]

Answer: the equation is

4x^2 + 4x - 12

Step-by-step explanation:

A quadratic equation is an equation in which the highest power of the unknown is 2.

The general form of a quadratic equation is expressed as

ax^2 + bx + c

Where

a is the leading coefficient

c is a constant

Assuming we want to write the quadratic equation in x, from the information given, the roots which are given are -2 and 1 and the leading coefficient is 4.

Therefore, the linear factors of the quadratic equation will be (x+2) and (x-1)

the equation becomes

(x+2)(x-1)

= x^2 - x +2x - 3

= x^2 + x - 3

Given a leading coefficient of 4, we will multiply the quadratic expression by 4. It becomes

4(x^2 + x - 3)

= 4x^2 + 4x - 12

7 0
3 years ago
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