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2 years ago

Simplify the expression (-4^2/4^3)^2

Mathematics

2 answers:

MA_775_DIABLO [31]2 years ago

7 0

= (-4^-1)^2
= -4^-2
= - 1/4^2
= - 1/16

Assoli18 [71]2 years ago

3 0

Exact form : 1/16
Decimal form: 0.0625

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Answer:

Step-by-step explanation:

a = 35 feet

b = 54 feet

h = 28 feet

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= 1246 square feet

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The volume of the rectangular prism is 240 cubic centimeters. A rectangular pyramid has the same length, width,and height as a p

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Which recursive formula can be used to generate the sequence shown, where f(1) = 5 and n > 1?

saveliy_v [14]

You can try them out and see which one works.

a: f(2) = f(1) +6 = 5+6 = 11 . . . . . . not this one

b: f(1) = f(2) -6 = -1-6 = -7 . . . . . . not this one (5 ≠ -7)

c: f(2) = f(1) - 6 = 5 - 6 = -1 . . . . . this gives the right f(2)

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The appropriate choice is ...

... f(n +1) = f(n) - 6

— — — — —

You can also recognize that the next term is 6 less than the current one, so f(n+1) = f(n) - 6, which corresponds to the 3rd selection.

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Answer:

The following functions would move the graph of the function to the right on the coordinate plane.

C) $f(x-3)+1$

G) $f(x-5)$

Step-by-step explanation:

We need to check for those functions which shows a horizontal shift of graph to the right.

Translation Rules:

Horizontal shift:

$f(x)\rightarrow f(x+c)$

If $c>0$ the function shifts $c$ units to the left.

If $c$ the function shifts $c$ units to the right.

Vertical shift:

$f(x)\rightarrow f(x)+c$

If $c>0$ the function shifts $c$ units to the up.

If $c$ the function shifts $c$ units to the down.

Applying rules to identify the translation occuring in each of the given functions.

A) $f(x+2)-7$

Translation: $f(x)\rightarrow f(x+2)-7$

The translation shows a shift of 2 units to the left and 7 units down.

B) $f(x)-3$

Translation: $f(x)\rightarrow f(x)-3$

The translation shows a shift of 3 units down.

C) $f(x-3)+1$

Translation: $f(x)\rightarrow f(x-3)+1$

The translation shows a shift of 3 units to the right and 1 units up.

D) $f(x)+4$

Translation: $f(x)\rightarrow f(x)+4$

The translation shows a shift of 4 units up.

F) $f(x+6)$

Translation: $f(x)\rightarrow f(x+6)$

The translation shows a shift of 6 units to the left.

G) $f(x-5)$

Translation: $f(x)\rightarrow f(x-5)$

The translation shows a shift of 5 units to the right.

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2 years ago

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Since your slope is 3, (the number for slope is always right before x) and your y-intercept is one (that is always the number after the x) your answer would be B

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