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3 years ago

How did the enlightenment affect peoples attitudes toward political authority

2 answers:

6 0

People began to think for themselves. This resulted in many people questioning the absolute authority they were used to living under. People no longer believed that kings ruled by divine right.

svetlana [45]3 years ago

3 0

Answer:

It caused Europeans to question the divine right of kings to rule their subjects.

Step-by-step explanation:

apex

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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.

3 0

3 years ago

An expression is shown below:

seraphim [82]

3(m + 5 + 9m)

A.
(1) 3m + 15 + 27m
(2) 3(10m + 5)

B. 3(m + 5 + 9m)....distributive property
(3 * m) + (3 * 5) + (3 * 9m) =
3m + 15 + 27m

C. 3(m + 5 + 9m) = 3(10m + 5)......m = 1
3(1 + 5 + 9(1) = 3(10(1) + 5)
3(1 + 5 + 9) = 3(10 + 5)
3(15) = 3(15)
45 = 45

7 0

3 years ago

Write the equation of the line passing through the points (-3,7) and (-6,9)

algol [13]

Answer:

y = -2/3x + 5

6 0

3 years ago

Determine the slope and y-intercept of the graph:<br> 7x + 4y = 28

barxatty [35]

Answer:

slope is (-7/4) and y-intercept is 7

Step-by-step explanation:

If we convert the equation 7x + 4y = 28 into Slope-intercept form, we can find the slope and the y-intercept.

7x + 4y - 7x = 28 - 7x

4y = 28 - 7x

divide both sides by 4

y = (28 - 7x)/4

y = 7 - 7x/4

slope is (-7/4) and y-intercept is 7

5 0

3 years ago

The Ferris wheel has a radius of 70 feet. The distance between the wheel and the ground is 4 feet. The rectangular coordinate sy

Gemiola [76]

Answer:

x² + (y-74)² = 4900

Step-by-step explanation:

Circle equation: (x-h)² + (y-k)² = r²

"h" refers to horizontal shifts while "k" refers to vertical shifts. If the center of the wheel is directly above the origin of the rectangular plane and the entire wheel is 4 ft. from the ground then:

h = 0
k = 74 (the radius + 4 ft.)
r = 70

So plugging those into the equation of circles, we get the answer above.

7 0

3 years ago