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2 years ago

PLEASE HELP! Thank you so much!

Mathematics

1 answer:

rusak2 [61]2 years ago

3 0

Question: The area of triangle MNP is how many times the area of triangle JKL?

Answer: The answer you want would be 9... The area of triangle MNP is 9 times larger than the area of triangle JKL.

Explanation: It would be 9 times larger because it says the base and height which means multiply the base and the height so it would be 3*3=9

Hope It Helps!!

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Confirm that f and g are inverses by showing that f(g(x)) = x and g(f(x)) = x. (2 points)

n200080 [17]

Given:

$f(x)=\dfrac{8}{x}$

$g(x)=\dfrac{8}{x}$

To find:

Whether f(x) and g(x) are inverse of each other by using that f(g(x)) = x and g(f(x)) = x.

Solution:

We know that, two function are inverse of each other if:

$f(g(x))=x$ and $g(f(x))$

We have,

$f(x)=\dfrac{8}{x}$

$g(x)=\dfrac{8}{x}$

Now,

$f(g(x))=f(\dfrac{8}{x})$ $[\because g(x)=\dfrac{8}{x}]$

$f(g(x))=\dfrac{8}{\dfrac{8}{x}}$ $[\because f(x)=\dfrac{8}{x}]$

$f(g(x))=8\times \dfrac{x}{8}$

$f(g(x))=x$

Similarly,

$g(f(x))=f(\dfrac{8}{x})$ $[\because f(x)=\dfrac{8}{x}]$

$g(f(x))=\dfrac{8}{\dfrac{8}{x}}$ $[\because g(x)=\dfrac{8}{x}]$

$g(f(x))=8\times \dfrac{x}{8}$

$g(f(x))=x$

Since, $f(g(x))=x$ and $g(f(x))$ , therefore, f(x) and g(x) are inverse of each other.

6 0

2 years ago

Identify the factors of the terms of the expression 5+6a+11b

emmainna [20.7K]

Letters used to represent values or unknown quantities that can change or vary. One example of an algebraic expression is 3x – 4. Notice the variable,

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2 years ago

Ryder Industries is considering a project that will produce cash inflows of $92,000 a year for five years. What is the internal

RSB [31]

Answer:

20.02%

Step-by-step explanation:

Formula : $NVP = 0 =-P_0 + \frac{P_1}{(1+IRR)} + \frac{P_2}{(1+IRR)^2} + . . . +\frac{P_n}{(1+IRR)^n}$

$P_0 = 275000$

n = 1,2,3,4,5

Substitute the values in the formula :

$0 =-275000 + \frac{92000}{(1+IRR)} + \frac{92000}{(1+IRR)^2} + \frac{92000}{(1+IRR)^3}+\frac{92000}{(1+IRR)^4}+\frac{92000}{(1+IRR)^5}$

$275000 = \frac{92000}{(1+IRR)} + \frac{92000}{(1+IRR)^2} + \frac{92000}{(1+IRR)^3}+\frac{92000}{(1+IRR)^4}+\frac{92000}{(1+IRR)^5}$

Solving for IRR using calculator

IRR = 20.02

Hence the internal rate of return if the initial cost of the project is $275,000 is 20.02%

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3 years ago

What is 8-4/5f>-14-2f

SpyIntel [72]

$8-\frac{4}{5}f>-14-2f\ \ \ \ \ |\cdot5\\\\40-4f>-70-10f\\\\-4f+10f>-70-40\\\\6f>-110\ \ \ \ \ |:6\\\\f>-\frac{110}{6}\\\\f>-\frac{55}{3}\\\\f\in(-\frac{55}{3},\infty)$

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2 years ago

Read 2 more answers

If mn = 16 and m^2 + n^2 = 68 then (m+n)^2 =

Dima020 [189]

Answer:

B. 100

Step-by-step explanation:

(m + n)^2

= m^2 + 2mn + n^2

Rearrange

(m^2 + n^2) + 2mn

Substitute

(68) + 2*16

= 68 + 32

= 100

7 0

2 years ago