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3 years ago

The function f(x) = 6x + 5 is one-to-one. Find an equation for f '(x), the inverse function.

Mathematics

1 answer:

Hatshy [7]3 years ago

4 0

Switch the x and y values and isolate y, then simplify.
x=6y+5
6y=x-5
y=1/6x-5/6

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Chanelle deposits 7500 into the bank she does not withdraw or deposit money for six years she earns 6% interest during that time

wariber [46]

Answer:

10,200 Dollars

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 6%/100 = 0.06 per year.

Solving our equation:

A = 7500(1 + (0.06 × 6)) = 10200

A = $10,200.00

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3 years ago

Jackie needs at least 350 for a plane ticket. She saves 25 each week. Which number line shows how long she will need to save mon

Archy [21]

Answer:

C. x ≥ 14

Step-by-step explanation:

<u>Set inequality and solve:</u>

25x ≥ 350
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Correct choice is C

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3 years ago

Read 2 more answers

What is the percent rate??

dezoksy [38]

Using an exponential function, it is found that the decay rate is of 6.24% a year.

<h3>What is an exponential function?</h3>

A decaying exponential function is modeled by:

$A(t) = A(0)(1 - r)^t$

In which:

A(0) is the initial value.

r is the decay rate, as a decimal.

The half-life is of 10.75 years, hence A(10.75) = 0.5A(0) and this is used to find the decay rate r.

$A(t) = A(0)(1 - r)^t$

$0.5A(0) = A(0)(1 - r)^{10.75}$

$(1 - r)^{10.75} = 0.5$

$\sqrt[10.75]{(1 - r)^{10.75}} = \sqrt[10.75]{0.5}$

$1 - r = (0.5)^{\frac{1}{10.75}}$

1 - r = 0.9376.

r = 1 - 0.9376.

r = 0.0624.

The decay rate is of 6.24% a year.

More can be learned about exponential functions at brainly.com/question/25537936

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2 years ago

Suppose the function P (t) gives the pulse rate of a gymnast at various points in time during 10 sessions. Select an appropriate

ziro4ka [17]

Answer:

Step-by-step explanation:

When we talk of domain, we are referring to the values we have on the x axis

By considering the range of values we have on the x-axis, we have the domain we want

We have the gymnast complete the sessions in 95 seconds.

This means that the highest point on the x-axis is 95 seconds

But how do we measure time? we do this in form of integers

So the correct domain will be all

integers between 0 and 95

which can be represented as 0≤x≤95

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3 years ago

Plss answer!! <br>MERRY Christmas!!! <br>Critical Question. AAAAA

liberstina [14]

Answer:

Step-by-step explanation:

abc = 1

We have to prove that,

$\frac{1}{1+a+b^{-1}}+\frac{1}{1+b+c^{-1}}+\frac{1}{1+c+a^{-1}}=1$

We take left hand side of the given equation and solve it,

$\frac{1}{1+a+\frac{1}{b}}+\frac{1}{1+b+\frac{1}{c}}+\frac{1}{1+c+\frac{1}{a}}$

Since, abc = 1,

$\frac{1}{c}=ab$ and c = $\frac{1}{ab}$

By substituting these values in the expression,

$\frac{1}{1+a+\frac{1}{b}}+\frac{1}{1+b+\frac{1}{c}}+\frac{1}{1+c+\frac{1}{a}}=\frac{1}{1+a+\frac{1}{b}}+\frac{1}{1+b+ab}+\frac{1}{1+\frac{1}{ab}+\frac{1}{a}}$

$=\frac{b}{b+ab+1}+\frac{1}{1+b+ab}+\frac{ab}{ab+1+b}$

$=\frac{1+b+ab}{1+b+ab}$

$=1$

Which equal to the right hand side of the equation.

Hence, $\frac{1}{1+a+b^{-1}}+\frac{1}{1+b+c^{-1}}+\frac{1}{1+c+a^{-1}}=1$

5 0

3 years ago