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PSYCHO15rus [73]
3 years ago
13

Write the inverse function for the function, ƒ(x) = 1/2x + 4. Then, find the value of ƒ -1(4). Type your answers in the box. ƒ -

1(x) = ______ a0 x _____a1 ______ a2 ƒ -1(4) = _______ a3
Mathematics
1 answer:
katrin2010 [14]3 years ago
4 0
As you know, to get the inverse of any expression, we start off by switching the variables about and then solving for "y",

\bf \stackrel{f(x)}{y}=\cfrac{1}{2}x+4\qquad \qquad \stackrel{inverse}{\underline{x}=\cfrac{1}{2}\underline{y}+4}\implies x-4=\cfrac{1}{2}y
\\\\\\
2x-8=\stackrel{f^{-1}(x)}{y}
\\\\\\
f^{-1}(4)=2(4)-8\implies f^{-1}(4)=0
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Please do these thanks. No fake stuff please thanks!
alexandr1967 [171]

Answer:

1) 48p^2+4p-4

2)40b^2-45b+5

3)3p^2-6p+3

4)3v^2-6v+3

5)40x^2+28x+24

6)3x^2+15x+12

Step-by-step explanation:

6 0
2 years ago
Identify terms, coefficients, factors, and the constant: 5(2x + 4) + 3x
KATRIN_1 [288]

Answer:

Terms:

<em>5, 2x, 4, 3x</em>

Coefficients:

<em>2 in 2x, and 3 in 3x</em>

Constants:

<em>5 and 4</em>

Factors:

<em>5, 2x, and 4</em>

Step-by-step explanation:

For terms, all of them are terms because they are all in the expression.

For coefficients, coefficients are ones that have a variable (think of it as a <em>copilot</em> kind of thing).

For factors, factors are terms that are multiplied together together to get a <em>product</em> (the answer).

For constants, these are terms that stand alone, by themselves. They are not attached to variables.

The answer is <em>13x + 20, </em>too, just in case you needed that.

Have a great day and hope this helps!

5 0
3 years ago
Read 2 more answers
The function y=-16t^2 +36 represents the height y (in feet) of a water droplet t seconds after falling from an icicle. After how
NikAS [45]

Answer:

1.5 seconds

Step-by-step explanation:

plug 0 in for y

0=-16t^2+36

then slove for t

-36=-16t^2

-36 / -16 = 9/4

9/4=t^2

square root of 9/4 is 3/2 or 1.5

t=1.5

3 0
2 years ago
Somebody please help me with this question!​
marta [7]

Answers:

P(A) = 7/12

P(B) = 1/2

=====================================================

Explanation:

To see how I calculated P(A), check out this link to this very similar question

brainly.com/question/27669586

--------------------

Now to calculate P(B)

If a number is divisible by 2, then the number is a multiple of 2.

In other words, the number is even.

Counting through the values in the table, you should find that there are 18 sums that are even (2, 4, 6, 8, 10 and 12). Refer to the dice chart below.

Here's a further breakdown

  • 1 copy of "2"
  • 3 copies of "4"
  • 5 copies of "6"
  • 5 copies of "8"
  • 3 copies of "10"
  • 1 copy of 12

Side note: We have nice symmetry going on.

There are 1+3+5+5+3+1 = 18 values total that are even numbers. The other half are odd numbers of course.

P(B) = 18/36 = (1*18)/(2*18) = 1/2

3 0
2 years ago
Take some time to fill in your notes, the area that is not shown in this video. Fill in the table with the values you think are
joja [24]

The x-values are the heartbeat(s) and the y-values are the time(s)

<h3>How to determine the x and y values?</h3>

The variables are given as:

Time(s) and Heartbeat(s)

As a general rule, the action that is being done is the independent variable.

The action here is the heartbeat.

So, the x-values are the heartbeat(s) and the y-values are the time(s)

A possible value of this is;

x = 100, y = 60 seconds

So, the ordered pair is (100,60)

When represented as ratio, we have;

Ratio = 60/100

Simplify

Ratio = 0.6 heartbeat per second

Read more about ordered pairs at:

brainly.com/question/8406931

#SPJ1

8 0
1 year ago
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