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2 years ago

Consider the graph of the function f(x)=(1/4)^x. Which statements describe key features of function f?

Mathematics

1 answer:

PolarNik [594]2 years ago

7 0

Answer: Asymptote at y=0; range of 0,infinity; y-intercept of (0,1)

Step-by-step explanation:

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Can someone tell me what 0.250 is in a fraction?

8090 [49]

Answer:

$\frac{1}{4}$

Step-by-step explanation:

Think about it in terms of 4 quarters to equal the dollar. 0.250= 1 quarter (25). The answer is then $\frac{1}{4}$

4 0

3 years ago

Read 2 more answers

Use Newton’s method to approximate the indicated root of the equation correct to six decimal places. The positive root of 3 sin

MAXImum [283]

Answer:

$x \approx 2.278863$

Step-by-step explanation:

Required

The positive root of $3\sin(x) = x$

Equate to 0

$0 = x -3\sin(x)$

So, we have our function to be:

$h(x) = x -3\sin(x)$

Differentiate the above function:

$h'(x) = 1 -3\cos(x)$

Using Newton's method of approximation, we have:

$x_{n+1} = x_n - \frac{h(x_n)}{h'(x_n)}$

Plot the graph of $h(x) = x -3\sin(x)$ to get $x_1$ --- see attachment for graph

From the attached graph, the first value of x is at 2.2; so:

$x_1 = 2.2$

So, we have:

$x_{n+1} = x_n - \frac{h(x_n)}{h'(x_n)}$

$x_{1+1} = x_1 - \frac{h(x_1)}{h'(x_1)}$

$x_{2} = 2.2 - \frac{2.2 -3\sin(2.2)}{1 -3\cos(2.2)} = 2.28153641$

The process will be repeated until the digit in the 6th decimal place remains unchanged

$x_{3} = 2.28153641 - \frac{2.28153641 -3\sin(2.28153641)}{1 -3\cos(2.28153641)} = 2.2788654$

$x_{4} = 2.2788654 - \frac{2.2788654 -3\sin(2.2788654)}{1 -3\cos(2.2788654)} = 2.2788627$

$x_{5} = 2.2788627 - \frac{2.2788627-3\sin(2.2788627)}{1 -3\cos(2.2788627)} = 2.2788627$

Hence:

$x \approx 2.278863$

4 0

3 years ago

Three friends meals at a restaurant cost is 13,14,and 11 dollars. Use parentheses to write two different expressions to show how

fomenos

(13+14)+11= 13+(14+11)
Associative property of addition

4 0

3 years ago

Wing figures, solve for x. Complete parts (a) 80° 53

Korolek [52]

Answer:

x = 25°

Step-by-step explanation:

Applying,

Sum of the angle in the triangle = 180°

From the diagram,

First angle of the triangle = 55° (vertically opposite angles are equal)

Second angle of the traingle = 180-80 = 100° (sum of the angle in a straight line)

Third angle of the triangle = x

Therefore,

x+55+100 = 180

x+155 = 180

x = 180-155

x = 25°

7 0

3 years ago

Evaluate the following expression . 2*[4+(12+16)/7

Nataliya [291]

Answer:

Step-by-step explanation:

$2 \times (4 + (12 + 16) \div 7 \\ (12 + 16) = 28 \div 7 = 4 + 4 = 8 \\ 2 \times 8 = 16$

3 0

3 years ago