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2 years ago

(1.) decide if function f is invertible.

1 answer:

4 0

<span>a) f(n) is the number of students in your calculus class whose birthday is on the nth day of the year.

f(n) is not invertible because several different days, n, may have the same number of students, f(n). Then for one specific f(n) you cannot determine a unique n.

b) f(x) is the volume in litters of x kilograms of water at 4 degrees celsius.?

f(x) is invertible because each x gives a different f(x), then you can determine unambiguously which f(x) corresponds to each x.
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The slope of the line is m=3/4. One point is (x, 2) and (3,-4)<br> Find X

Viktor [21]

Answer:

x is 11

Step-by-step explanation:

We know the slope (3/4) and a point (3,-4), so we can use point-slope form (y-y1=m(x-x1)

Substitute the numbers into the equation

y--4=3/4(x-3)

simplify

y+4=3/4(x-3)

do the distributive property

y+4=3/4x-9/4

subtract 4 from both sides

y=3/4x-25/4

this is the equation of the line.

Since it says that (x,2) is a point in the equation, we can substitute it into the equation

2=3/4x-25/4

add 25/4 to both sides

33/4=3/4x

multiply by 4/3

11=x

we can double check by plugging (11,2) into the equation of the line.

2=3/4(11)-25/4

2=33/4-25/4

2=2

it works! :)

Hope this helps!

7 0

2 years ago

Please Help!!

Genrish500 [490]

Given

$a\sqrt{x+b}+c=d$

we have

$\sqrt{x+b}=\dfrac{d-c}{a}$

Squaring both sides, we have

$x+b=\dfrac{(d-c)^2}{a^2}$

And finally

$x=\dfrac{(d-c)^2}{a^2}-b$

Note that, when we square both sides, we have to assume that

$\dfrac{d-c}{a}>0$

because we're assuming that this fraction equals a square root, which is positive.

So, if that fraction is positive you'll actually have roots: choose

$a=1,\ b=0,\ c=2,\ d=6$

and you'll have

$\sqrt{x}+2=6 \iff \sqrt{x}=4 \iff x=16$

Which is a valid solution. If, instead, the fraction is negative, you'll have extraneous roots: choose

$a=1,\ b=0,\ c=10,\ d=4$

and you'll have

$\sqrt{x}+10=4 \iff \sqrt{x}=-6$

Squaring both sides (and here's the mistake!!) you'd have

$x=36$

which is not a solution for the equation, if we plug it in we have

$\sqrt{x}+10=4 \implies \sqrt{36}+10=4 \implies 6+10=4$

Which is clearly false

7 0

3 years ago

Lucia checked her online bank statement which shows the current balance is $412.76, pending withdrawals are $481.23, and pending

Inessa05 [86]

Considering the withdraws and credits, Lucia's current available balance is of $65.53.

<h3>How do we find a balance?</h3>

It is given by the sum of the money that the people has with the pending credits, and subtracted by the pending withdraws.

In this problem, we have that:

Lucia has $412.76, with pending credits of $134.00.

She has pending withdraws of $481.23.

Hence, her avaiable balance is given by:

412.76 + 134 - 481.23 = $65.53.

More can be learned about balances at brainly.com/question/26867415

8 0

2 years ago

Find the value of x.<br> I need help please!

Blababa [14]

Answer:

Step-by-step explanation:

Keep in mind that exterior angles are mentioned. So let's find the interior ones. Note that the interior and exterior angles are forming straight lines. So something plus 84 equals 180 degrees.

180-84=96

180-120=60

The sum of three angles of a triangle is 180 degrees. X is an angle. So we can form an equation to represent this. Then just solve for x!

96+60+x=180

156+x=180

x=24

8 0

3 years ago

X + 8(y + 4) − (5y − x)

Anna11 [10]

Answer:

2x+3y+32

Step-by-step explanation:

5 0

2 years ago

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