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3 years ago

If r is a linear function with a slope that is not equal to zero, which of the following is always true of its inverse function?

Mathematics

2 answers:

Reptile [31]3 years ago

8 0

Answer:

Option 2 is correct.

Step-by-step explanation:

We have given a linear function say r

And we need to tell relation between slope of linear function and its inverse function.

If we have a linear function say y=kx

Then its inverse will be x=y/x

Therefore, the slope of inverse will be slope of r the linear function.

ser-zykov [4K]3 years ago

7 0

Answer:

the answer is Its slope is the reciprocal of the slope of r.

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Rationalize the denominator of $\frac{5}{2+\sqrt{6}}$. The answer can be written as $\frac{A\sqrt{B}+C}{D}$, where $A$, $B$, $C$

horrorfan [7]

Answer:

$A +B+C+D = 3$ is the correct answer.

Step-by-step explanation:

Given:

$\frac{5}{2+\sqrt{6}}$

To find:

$A+B+C+D = ?$ if given term is written as following:

$\frac{A\sqrt{B}+C}{D}$

<u>Solution:</u>

We can see that the resulting expression does not contain anything under $\sqrt$ (square root) so we need to rationalize the denominator to remove the square root from denominator.

The rule to rationalize is:

Any term having square root term in the denominator, multiply and divide with the expression by changing the sign of square root term of the denominator.

Applying this rule to rationalize the given expression:

$\dfrac{5}{2+\sqrt{6}} \times \dfrac{2-\sqrt6}{2-\sqrt6}\\\Rightarrow \dfrac{5 \times (2-\sqrt6)}{(2+\sqrt{6}) \times (2-\sqrt6)} \\\Rightarrow \dfrac{10-5\sqrt6}{2^2-(\sqrt6)^2}\ \ \ \ \ (\because \bold{(a+b)(a-b)=a^2-b^2})\\\Rightarrow \dfrac{10-5\sqrt6}{4-6}\\\Rightarrow \dfrac{10-5\sqrt6}{-2}\\\Rightarrow \dfrac{-5\sqrt6+10}{-2}\\\Rightarrow \dfrac{5\sqrt6-10}{2}$

Comparing the above expression with:

$\frac{A\sqrt{B}+C}{D}$

A = 5, B = 6 (Not divisible by square of any prime)

C = -10

D = 2 (positive)

GCD of A, C and D is 1.

So, $A +B+C+D = 5+6-10+2 = \bold3$

5 0

4 years ago

Choose the linear inequality that describes the graph the grey area represents the shaded region

myrzilka [38]

Answer:

Explain to me how you expect anyone to do this,

as you haven't provided the graph or the inequalities.

Step-by-step explanation:

3 0

3 years ago

The marginal loss on Washington reds, a brand of apples from the state of Washington, is $35 per case. The marginal profit is $1

AlexFokin [52]

Answer:

42666 cases

Step-by-step explanation:

P = (Marginal Loss)/ (Marginal Loss + Marginal Profit)

P = (35)/(35+15) = 0.7

Considering a normal distribution we can find the corresponding z value by P = 0.7 (which represented the shaded area under the curve)

z = 0.5244

z = (X - Mean Sales)/Standard Deviation

-0.5244 = (X - 45000)/4450

X = 42666.42 ≅ 42666

6 0

3 years ago

mrs. blat buys 1 or 2 books a month for $13.99 each. she has a magazine subscription that costs her $10.00 a month. the sunday p

elixir [45]

Mrs. Blat spends at least ...
13.99 +10.00 +6.00 = 29.99
each month. Over the year, this is a minimum of
12*$29.99 = $359.88

_____
The variable cost is the cost of the 2nd book, which may or may not be purchased in any given month.

7 0

4 years ago

Seven greater than 5 times a number, Y

QveST [7]

5y<7 <------- That is the answer. BTW (by the way) the variable needs to always be on the rights side.

Hope this helps!!!!!!!!!

6 0

4 years ago