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2 years ago

Which statement could be used to explain why f(x) = 2x – 3 has an inverse relation that is a function?

Mathematics

2 answers:

Basile [38]2 years ago

8 0

Answer:

1st q answer is f(x) is one- to -one function and 2nd q answer is 2

Brut [27]2 years ago

8 0

Answer:

<h2>1) f(x) is one - to - one function</h2><h2>2) 2 </h2>

Step-by-step explanation:

<h3>inverse of f(x) </h3>

Let f(x) = y

y = 2x - 3

x = y + 3 / 2

inverse of f(x) = x + 3 / 2

<h3>g(x) = inverse of f(x) </h3>

f [g(2)]

f [2+3/2]

f [5/2]

(2×5/2)-3

5-3

= 2

<h3>Therefore f [g(2)] = 2 </h3>

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shtirl [24]

Answer:

5.4

Step-by-step explanation:

The equations are equal so set them equal to each other and solve

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3 years ago

You want to calculate the displacement of an object thrown over a bridge. Using -10 m/s^2 for acceleration due to gravity, what

MrRissso [65]

<u>Answer</u>

<em>The total displacement of the object is 320 m</em>

<u>Solution-</u>

From the formulas of mechanics,

$s=ut+\frac{1}{2}at^{2}$

Where,

s = displacement

u = initial velocity = 0 ( ∵ As the body was in rest in the beginning )

t = time taken = 8 s

a = acceleration = -10 m/s² ( ∵ -ve is because of the downward motion)

Putting all the values,

$s= 0 \times 8 + \frac{1}{2}(-10)8^{2} = -320 \ m$ ( ∵ -ve displacement means it is in downwards)

5 0

4 years ago

Yasmine has 4 containers of 4 different colors of flowers to plant. She had 1/3 of each color left over when she was done planti

olga2289 [7]

Answer:

$2\frac{2}{3}$

Step-by-step explanation:

Given the information

4 containers of 4 different colors
1/3 of each color left over
She had planted more than 2 1/2 of the original 4 containers

=> Total color were left = 1/3 x 4 = 4/3 of the original containers

=> Total color were planted = (1 - 1/3) x 4 = 2/3 x 4 = 8/3 of the original containers

However, 8/3 = $2\frac{2}{3}$ > 2 $\frac{1}{2}$

So she is true, hence, the fractions to determine the total amount of containers of flowers she planted is: $2\frac{2}{3}$

Hope it will find you well

7 0

3 years ago

Answer this question in the photo 18 PTS

LiRa [457]

Question - Answer
a) 1/2 L = 4
b) 1/2 L x 4 = 2
c) 5/6 x 2 = 1 4/6 L OR 1.67 L
d) 2/3 L = 3 beakers with 2/3 OR 5 beakers with 2/3 and 5/6
e) <1/3 L = 3 beakers

I believe that is the answer.

4 0

3 years ago

Wages. JoAnn works in the publicity office at the state university. She is paid $10 an hour for the first 35 hours she works eac

rosijanka [135]

Since Joann receives $10 per hour for the first 35 hours, so she receives $350 (35 times $10) before she starts receiving extra hours.

Since she received $515, we know that she worked extra hours.

Let's use the variable x to represent the number of extra hours worked.

So we can write the following equation for the total payment received:

$\begin{gathered} 10\cdot35+15\cdot x=515 \\ 350+15x=515 \\ 15x=515-350 \\ 15x=165 \\ x=11 \end{gathered}$

She worked 11 extra hours. Adding this to the 35 regular hours, so she worked for 46 hours.

5 0

1 year ago

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