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2 years ago

What is the slope of the line that passes through the points (-15,7) and (14,7)

Mathematics

1 answer:

gayaneshka [121]2 years ago

6 0

The slope of the line that passes through the points (-15,7) and (14,7) is 0

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Amanda is buying a $190,000 home. She has decided to purchase 2 points in order to lower her interest rate. The appraisal fee is

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Read 2 more answers

Find the diameter of a circle whose equation is

Olin [163]

Answer:

D) 20

Step-by-step explanation:

x^2 + (y - 2)^2=100

This can be rewritten as

(x-0)^2 + (y - 2)^2=10^2

This is in the form

(x-h)^2 + (y - k)^2=r^2

The radius is 10

The diameter is 2 times the radius

d = 2*r = 2*10 = 20

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2 years ago

PLEASE HELP!!!!<br> Which of these pair of functions are inverse functions?

Mamont248 [21]

Answer:

Option B and C are correct.

Step-by-step explanation:

Inverse function: If both the domain and the range are R for a function f(x), and if f(x) has an inverse g(x) then:

$f(g(x)) = g(f(x)) = x$ for every x∈R.

Let $f(x) = \frac{1}{2}(\ln(\frac{x}{2}) -1)$ and $g(x) = 2e^{2x+1}$

Use logarithmic rules:

$ln e^a = a$

$e^{lnx} = x$

$\ln a^b = b\ln a$

then, by definition;

$f(g(x)) = f(2e^{2x+1}) =\frac{1}{2}(\ln(\frac{2e^{2x+1}}{2})-1)$ = $\frac{1}{2}(\ln(e^{2x+1}}){-1) = \frac{1}{2} (2x+1-1) =\frac{1}{2}(2x) = x$

$g(f(x)) = g(\frac{1}{2}(\ln(\frac{x}{2}) -1)) = 2e^{2({\frac{1}{2}(\ln(\frac{x}{2}) -1})+1$ $2e^{(\ln(\frac{x}{2}) -1+1}=2e^{\ln(\frac{x}{2})} =2\cdot \frac{x}{2} = x$

Similarly;

for $f(x) = \frac{4 \ln(x^2)}{e^2}$ and $g(x) = e^{\frac{e^2 \cdot x}{8} }$

then, by definition;

$f(g(x)) = f(e^{\frac{e^2 \cdot x}{8}}) =\frac{4 \ln {(\frac{e^2 \cdot x}{8})^2}}{e^2}$ = $\frac{8 \ln {(\frac{e^2 \cdot x}{8})}}{e^2} =\frac{8\frac{e^2\cdot x}{8} }{e^2}=\frac{8e^2 \cdot x}{8e^2}=x$

Similarly,

g(f(x)) = x

Therefore, the only option B and C are correct. As the pairs of functions are inverse function.

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3 years ago

A stockholder sold her shares and made a profit of $1,327. If that is a profit of 22%, how much were the shares worth when she o

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Answer:

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Step-by-step explanation:

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2 years ago