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FromTheMoon [43]
4 years ago
11

Find f(0) and f(2) for the given exponential function. f(x) = (1/2)^-x

Mathematics
1 answer:
Aliun [14]4 years ago
8 0
For 0 it will equal 1 because anything to the 0th power is 1 except 0 to the 0.

For 2, It will equal for because when you raise a fraction to the negative power you flip it and that gets rid of the negative number so then you will have 2 to the second and you will get 4.

f (0) = 1, f (2) = 4
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one rectangle has a length 10 cm and width 5 cm the second rectangle has length 12 cm and width 4 cm are the two rectangles simi
tatuchka [14]

Answer:

No, they aren't similar.

Step-by-step explanation:

<u><em>Let's take the proportionality of their sides to check whether they are similar or not:</em></u>

\frac{10}{5} = \frac{12}{4}

=> 2 ≠ 3

So, they are not similar.

8 0
4 years ago
Amir drove from Jerusalem down to Lowest Place on earth, the Dead Sea descending at a rate of 12 meters per minute he was at sea
Oliga [24]

Answer:

  see below for a graph

Step-by-step explanation:

It is convenient to use a point-slope form of the equation of a line for graphing, since we know the slope is -12 m/min and the point is (30, 0) at sea level.

The horizontal axis is minutes; the vertical axis is meters above sea level. The graph cannot extend below -413 meters from sea level, as that is the lowest place on earth.

5 0
3 years ago
The coefficient of x^ky^n-k in the expansion of (x+y)^n equals (nk). True or false.
AVprozaik [17]

Answer:

The correct option is;

False

Step-by-step explanation:

The coefficient of x^k·y^(n-k) is nk,   False

The kth coefficient of the binomial expansion, (x + y)ⁿ is  \dbinom{n}{k} = \dfrac{n!}{k!\cdot (n-k)!} = C(n,k)

Where;

k = r - 1

r = The term in the series

For an example the expansion of (x + y)⁵, we have;

(x + y)⁵ = x⁵ + 5·x⁴·y + 10·x³·y² + 10·x²·y³ + 5·x·y⁴ + y⁵

The third term, (k = 3) coefficient is 10 while n×k = 3×5 = 15

Therefore, the coefficient of x^k·y^(n-k) for the expansion  (x + y)ⁿ = C(n,k) not nk

7 0
3 years ago
X≤−2 and x&lt;−5 on a number line
sweet [91]

x is less than or equal to -2.

x is greater than -5.

When x is less than something, the arrow must go left. <———

When x is equal to a number, the dot must be filled in.    •

When x is greater than a number, the arrow should go right, toward the greater values. ——>

When x isn’t equal to the number, the circle is not colored in. ⭕️

Shown in picture:

4 0
3 years ago
A teacher plans to buy the same number of notebooks and rulers for his classroom. Each notebook costs $2 and each ruler costs $1
Paladinen [302]

Answer:

3x=total amount of money, 3x

Step-by-step explanation:

Because the number of notes books is the same (x and x), you can simply add them.

Basically, the equation is 1x+2x= total cost but you can add 1x and 2x because they have the same variable

6 0
3 years ago
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