All categories

3 years ago

Which is the graph of the given function?

Mathematics

1 answer:

Schach [20]3 years ago

4 0

ANSWER

The correct choice is A.

EXPLANATION

The given cosine function is:

$f(t) = 2 \cos( - 4t)$

This function has an amplitude of 2.

Hence it must have range,

-2≤f(t)≤2

It has a period of

$\frac{\pi}{2}$

Hence the function must complete one cycle on the interval,

[0,½π],

[½π,π],

etc.

The negative sign shows a reflection in the y-axis but since the cosine function is even, the function retraces itself.

The correct choice is A

You might be interested in

Mila is preheating her oven before using it to bake. The initial temperature of the oven is 75° and the temperature will increas

NNADVOKAT [17]

The temp after 15 minutes is 225 degrees because the initial temp plus the rate time the number of minutes gives the current temp. in this case, 75 + 10(15) = 225

therefore, the temp after t minutes can be represented by the equation f(x) = 10t + 75

7 0

2 years ago

The estimated total,costs,y, of a child's toy is practally based on the number of batteries used x.The cost of one battery is 0.

Firdavs [7]

Answer:

y = 0.75x + 12

Step-by-step explanation:

The estimated total cost, y, of a child's toy is partially based on the number 1 point of batteries used, x. The cost of one battery is $0.75. The toy itself costs $12. Which equation represents the situation?

y = 12x + 0.75

y = 0.75x + 12

y = 12x − (775

y = 0.75x − 12

y = total cost of a child's toy

Cost of each battery = $0.75

Number of batteries = x

Cost of the toy = $12

Therefore,

total cost of a child's toy = Cost of the toy + Cost of each battery * Number of batteries

y = 12 + 0.75 * x

y = 12 + 0.75x

y = 0.75x + 12

7 0

3 years ago

Find the slope of the line through the points (13,14) and (0,−1)

timofeeve [1]

Answer:

1.15 or $\frac{15}{13}$

Step-by-step explanation:

1. The slope can be found with this formula: $\frac{y2-y1}{x2-x1}$

2. Let's plug in the numbers: $\frac{14--1}{13-0}$

4. $\frac{15}{13}$ ≈ 1.1538

6 0

2 years ago

NOME:..............................................................................

Rufina [12.5K]

The answer for this problem is b bc it -1/

4 0

3 years ago

A five-digit number is represented by ABCDE. If we add the number 1 in front of ABCDE, then the product of 1ABCDE and 3 will be

IceJOKER [234]

Answer:

ABCDE = 42857

Step-by-step explanation:

First, we will use logic. The only number that when it's multiplied by 3, gives 1 at the end is 7, so E should be 7, so:

1ABCD7 * 3 = ABCD71

If 3 times 7 is 21, we carry two, so, the next number by logic, cannot be 1, because 3*1 = 3 + 2 = 5, it's not 7, so, it should be another number, like 5.

5*3 = 15 + 2 = 17 and we carry one. So this number fix in the digit, and D = 5.

We have now: 1ABC57 * 3 = ABC571

Letter C, we have to get a number that when it's multiplied by 3 and carry one, gives 5. In this case 8, because: 3 * 8 = 24 + 1 = 25 and carry two. D = 8.

So far: 1AB857 * 3 = AB8571

Now, the same thing with B. If we multiply 3 by 2, and carry two we will have 8 so: 3 * 2 = 6 + 2 = 8. B = 2

1A2857 * 3 = A28571

Finally for the last number, a number multiplied by 3 that hold the 1 as decene, In this case, the only possibility is 4, 3 * 4 = 12 so:

142857 * 3 = 428571

7 0

3 years ago