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3 years ago

Don't go by my answers pls

Mathematics

1 answer:

Illusion [34]3 years ago

4 0

Answer:

19) ( $\frac{-2}{5}$ )^2 = $\frac{4}{25}$

20) - $9^{2}$ = -81

21) $2^{4}$ = 16

Step-by-step explanation:

The only wrong ones are

19) ( $\frac{-2}{5}$ )^2 = $\frac{4}{25}$

20) - $9^{2}$ = -81 ... negative is not inside a parenthesis that's why it is still negative

21) you can add another way is $2^{4}$ = 16

Everything else looks good. Great job!

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

maks197457 [2]

F(g(x)) = [(-7x-8)/(x-1) - 8} / [(-7x - 8)/(x-1) + 7] =

[(-7x - 8 - 8(x-1)) / (x-1)] / [(-7x - 8 + 7(x-1)) / (x-1)] = (-15x) / (-15) = x.

g(f(x)) = [-7*(x-8)/(x+7) - 8] / [(x-8)/(x+7) - 1] =

[(-7x + 56 -8*(x+7)) / (x+7)] / [(x - 8 - (x + 7)) / (x+7)] = (-15x) / (-15) = x.

So since f(g(x)) = g(f(x)) = x we can conclude that f and g are inverses.

5 0

3 years ago

On the first day of spring, an entire field of flowering trees blossoms. The population of locusts consuming these flowers rapid

Elza [17]

Answer:

$L(t)=7600e^{0.2273t}$

Step-by-step explanation:

-The locust population grows by a factor and can therefore be modeled by an exponential function of the form:

$P=P_oe^{rt}$

Where:

$P$ is the population after t days.
$P_o$ is the initial population given as 7600
$r$ is the rate of growth
$t$ is time in days

-Given that the growth is by a factor of 5( equivalent to 500%), the r value will be 5

-The population increases by a factor of 5 every 22 days. therefore at any time instance, t will be divided by 22 to get the effective time for calculations.

Hence, the exponential growth function will be expressed as:

$P=P_oe^{rt},\ \ \ P=L(t)\\\\\therefore L(t)=7600e^{5\frac{t}{22}}\\\\=7600e^{0.2273t}$

7 0

3 years ago

I NEED HELP PLS ANSWER

Yakvenalex [24]

Answer:

B. Inscribed equilateral triangle.

Step-by-step explanation:

An equilateral triangle is a type of triangle that has all sides to have the same length.

An inscribed figure or shape is one which has been constructed within the boundaries of another figure or shape.

In the given question, the markings is construction of an inscribed equilateral triangle. This procedure of the construction after completion, generate the triangle as shown in the construction attached to this answer.