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3 years ago

12

Graph f(x) = 8•(1/2)^x

1 answer:

Lelu [443]3 years ago

4 0

Answer:

<h2>See the image.</h2>

Step-by-step explanation:

The given function is $f(x) = \frac{8}{2^{x} }$ . We need to graph it.

At x = 0, f(x) = 8.

At x = 1, f(x) = 4.

At x = 2, f(x) = 2.

$\lim_{x \to \infty} f(x) = 0$ . With the increasing value of x, f(x) will move towards 0.

Similarly, if x = -1, f(x) = 16.

At x = -2, f(x) = 32.

$\lim_{x \to -\infty} f(x) = \infty.$

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Find the vertex of this parabola.

Rashid [163]

Answer:

The vertex of this parabola is (1, 14).

Step-by-step explanation:

To find the vertex of this parabola, one approach is to determine the equation of the axis of symmetry: evaluate x = -b / (2a), where a, b and c are the coefficients of the x^2, x and x^0 terms respectively.

Here a = -2, b = 4 and c = 12.

Thus, the axis of symmetry is x = -4 / (2· -2), or x = 1.

The function value at x = 1 is y = -2(1)^2 + 4(1) + 12, or y = -2 + 4 + 12 = 14.

The vertex of this parabola is (1, 14).

4 0

2 years ago

You sell your bicycle to your friend for 65$ your friend gives you x five dollar bills and y ten dollar bills. There are a total

jeka94

Answer:

There are $5$ five dollar bills and $4$ ten dollar bills.

Step-by-step explanation:

Given:

Selling price of bicycle $=\$65$ .

The friend gave $x$ five dollar bills and $y$ ten dollar bills.

Total number of bills $=9$ .

To find: Number of five dollar bills and ten dollar bills the friend gave.

Solution:

The friend gave $x$ five dollar bills and $y$ ten dollar bills and the friend gave $9$ bills in all.

So, $x+y=9$ .

$\Rightarrow x=9-y ...(i)$

Selling price of bicycle $=\$65$ .

So, $5x+10y=65...(ii)$

Putting the value of $x$ from equation $(i)$ in equation $(ii)$ .

$\Rightarrow 5(9-y)+10y=65$

$\Rightarrow 45-5y+10y=65$

$\Rightarrow 45+5y=65$

$\Rightarrow 5y=65-45$

$\Rightarrow 5y=20$

$\Rightarrow y=\frac{20}{5}$

$\Rightarrow y=4$

Now, putting the value of $y$ in equation $(i)$ .

$\Rightarrow x=9-4$

$\Rightarrow x=5$

Hence, there are $5$ five dollar bills and $4$ ten dollar bills.

5 0

2 years ago

(5x + 2) 6x<br> Solve for x and y<br> X =<br> y =

leva [86]

Answer:

x = 8

y = 138

Step-by-step explanation:

4 0

2 years ago

Jordi trains on his bicycle by riding for a total of 300 miles each week.

Alex73 [517]

Since y represents miles and x represents weeks, it would be y=300x

7 0

2 years ago

If two events are mutually exclusive, why is ? Choose the correct answer below. A. because A and B each have the same probabil

svetlana [45]

Answer:

B. because A and B cannot occur at the same time.

Step-by-step explanation:

If two events are mutually exclusive, why is ? Choose the correct answer below.

A. because A and B each have the same probability.

B. because A and B cannot occur at the same time.

C. because A and B are independent.

D. because A and B are complements of each other.

3 0

3 years ago