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3 years ago

Use Inverse operations to solve the expression. Enter your answer in simplest form. y 1 =8 16

Mathematics

1 answer:

vredina [299]3 years ago

7 0

So we are trying to get the “y” alone, so to undo the division by -8, we will multiply both sides by -8, then simplify.

(-8) y/(-8) = (-8) 1/16

y = -8/16

and simplified:

y = -1/2

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What is the value of 8 in 293,581?

Free_Kalibri [48]

Answer:10th place

Step-by-step explanation:

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2 years ago

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PLEASE HELP ASAP!!! CORRECT ANSWERS ONLY PLEASE!!!

Brilliant_brown [7]

-2x + 6y = -38

3x - 4y = 32

To solve by elimination, multiply the top equation by 3 and the bottom equation by 2.

3(-2x + 6y = -38) --> -6x + 18y = -114

2(3x - 4y = 32) --> 6x - 8y = 64

Add the equations.

-6x + 18y = -114

6x - 8y = 64

+_____________

0 + 10y = -50

10y = -50

y = -5

Substitute -5 for y into one of the original equations to find x.

3x - 4y = 32

3x - 4(-5) = 32

3x + 20 = 32

3x = 12

x = 4

Check work by plugging the x- and y-values into both of the original equations.

-2x + 6y = -38

-2(4) + 6(-5) = -38

-8 - 30 = 38

38 = 38

3x - 4y = 32

3(4) - 4(-5) = 32

12 + 20 = 32

32 = 32

Answer:

x = 4 and y = -5; (4, -5).

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3 years ago

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Step-by-step explanation:

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2 years ago

Place the three functions in order from the fastest decreasing average rate of change to the slowest decreasing average rate of

victus00 [196]

Answer:

g(x), f(x) and h(x)

Step-by-step explanation:

Given

Interval: (0,3)

See attachment for functions f(x), g(x) and h(x)

Required

Order from fastest to slowest decreasing average rate of change

The average rate of change is calculated as:

$Rate = \frac{f(b) - f(a)}{b - a}$

In this case:

$(a,b) = (0,3)$

i.e.

$a = 0\\b=3$

For f(x)

$f(x) = 16(\frac{1}{2})^x$

$Rate = \frac{f(b) - f(a)}{b - a}$

$Rate = \frac{f(3) - f(0)}{3 - 0}$

$Rate = \frac{f(3) - f(0)}{3}$

Calculate f(3) and f(0)

$f(x) = 16(\frac{1}{2})^x$

$f(3) = 16(\frac{1}{2})^3 = 16 * \frac{1}{8} = 2$

$f(0) = 16(\frac{1}{2})^0 = 16 * 1 = 16$

So:

$Rate = \frac{f(3) - f(0)}{3}$

$Rate = \frac{2 - 16}{3}$

$Rate = -\frac{14}{3}$

For g(x)

$Rate = \frac{g(b) - g(a)}{b - a}$

$Rate = \frac{g(3) - g(0)}{3 - 0}$

$Rate = \frac{g(3) - g(0)}{3}$

From the table of g(x)

$g(3) = 1$

$g(1) = 27$

So:

$Rate = \frac{1 - 27}{3}$

$Rate = -\frac{26}{3}$

For h(x)

$Rate = \frac{h(b) - h(a)}{b - a}$

$Rate = \frac{h(3) - h(0)}{3 - 0}$

$Rate = \frac{h(3) - h(0)}{3}$

From the graph of h(x)

$h(3) = -3$

$h(0) = 4$

So:

$Rate = \frac{-3 - 4}{3}$

$Rate = -\frac{7}{3}$

So, the calculated rates of change are:

$f(x) = -\frac{14}{3}$ $= -4.67$

$g(x) = -\frac{26}{3}$ $=-8.67$

$h(x) = -\frac{7}{3}$ $=-2.33$

By comparison:

From the fastest decreasing to slowest, the order is: g(x), f(x) and h(x)

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3 years ago

Find the value of x and y

Romashka [77]

Step-by-step explanation:

$\triangle ABC \sim\triangle DEF..(Given) \\ \therefore \frac{AB}{DE} =\frac{BC}{EF}=\frac{AC}{DF}..(CSST)\\\\\therefore \frac{6}{4} =\frac{7}{x}=\frac{8}{y}\\\\ \therefore \frac{6}{4} =\frac{7}{x} \\ \therefore \: x = \frac{7 \times 4}{6} \\ \\\therefore \: x = \frac{28}{6} = \frac{14}{3} \\ \\ \huge \red{ \boxed{ \therefore \: x = \frac{14}{3} }} \\ \\ \because \: \frac{6}{4} =\frac{8}{y} \\ \\ \therefore \:y = \frac{4 \times 8}{6} \\ \\ \therefore \:y = \frac{32}{6} \\ \\ \huge \purple{ \boxed{ \therefore \:y = \frac{16}{3} }}\\ \\$

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3 years ago

Use Inverse operations to solve the expression. Enter your answer in simplest form. y 1 =8 16​

Use Inverse operations to solve the expression. Enter your answer in simplest form. y 1 =8 16