MATHEMATICS HIGH SCHOOL

Let the function f(x) have the form f(x) = Acos(x + C). To produce a graph that matches the one shown below, what must the value of A be?

Answers

Answer 1

Answer:

A general cosine function has the form:

f(x) = A*cos(c + x)

We want to find the value of A that matches the one in the image, and we will find that A = 3

Ok, a general cosine function is:

f(x) = A*cos(c + x)

Where A is the amplitude.

To find the amplitude of a cosine function, we just need to find half of the difference between the maximum and minimum value of the function:

By looking at the given graph, we can see that the maximum is y = 3, and the minimum is y = -3

Then the amplitude is:

A = (3 - (-3))/2 = 6/2 = 3

The correct option is B.

If you want to learn more, you can read:

brainly.com/question/19830127

Answer 2

Answer:

Answer: It’s 4 they’re all wrong (pretty sure I have the same graph)

Step-by-step explanation:

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What is the simplest form of x^2+5x-6/x^2+9x+18?A: x+2/x+6
B: 1/3
C:x-1/x+3
D:-1/3

Answers

Answer:

C: $(x-1)/(x+3)$

Step-by-step explanation:

The simplest form of the expression below, can be found through factorization process.

$(x^(2)+5x-6)/(x^(2)+9x+18)$

We have two quadratic expression. To find their factor, we only need to apply some steps:

Factorizing $x^(2)+5x-6=(x+a)(x-b)$

We have to find to numbers a and b that multiplied result in 6, but subtracted result in 5. We can see that $a = 6$ and $b=1$ are the right numbers, because 6 times 1 equals 6, and 6 minus 1 equals 5.

Therefore, $x^(2)+5x-6=(x+6)(x-1)$

On the other expression, we applied the same process:

$x^(2)+9x+18=(x+6)(x+3)$ ; because, $6(3)=18$ and $6+3=9$

Then, we replace these factors for each expression:

$(x^(2)+5x-6)/(x^(2)+9x+18)$

$((x+6)(x-1))/((x+6)(x+3))$

Eliminating similar factors, we have:

$((x-1))/((x+3))$

Which is the simples form.

the correct answer is c

A parachutist's speed during a free fall reaches 135 miles per hour. What is this speed in feet per second? At this speed, how many feet will the parachutist fall during 5 seconds of free fall? In your computations, use the fact that I mile is equal to 5280 feet. Do not round your answers.

Answers

Answer:

198 ft/s speed

99 ft distance

Step-by-step explanation:

Answer:

7.33333ft

Step-by-step explanation:

What is the slope of a line that runs parallel to y = 2 x + 5?

Answers

Parallel lines have equal gradients;
So,
y=2x+5
The gradient is 2
The parallel line also has a gradient of 2

The equation "y=mx+b" is the slope-intercept forme of a line with slope "m" and y-interceptept (0,b)

In this case:
y=2x+5;
the slope "m" will be equato to : "2".

Answer: the slope is 2.

Round 5.91 to nearest whole number

Answers

The nearest whole number would be 6. Because if you round 5.91 you are using the 9 and that will make the 5 a 6. and the rest of the numbers are no longer there or replaced with 0s

Simplify the expression. 5 ^ 0
A. 0
b. 0.5
c. 1
d. 50

Answers

c. anthing to the power of 0 is automatically one

What is the combined version of the equations 5.2*10^6 and 2.47*10^8

Answers

Answer:To solve the system of equations using substitution, we'll start by solving one equation for one variable, and then substitute that expression into the other equation.

Let's solve the second equation, y = 3x - 7, for y:

y = 3x - 7 (Equation 2)

Now, we can substitute this expression for y in the first equation, 2x + y = 3:

2x + (3x - 7) = 3

Combining like terms, we have:

5x - 7 = 3

Adding 7 to both sides of the equation, we get:

5x = 10

Dividing both sides of the equation by 5, we have:

x = 2

Now that we have the value of x, we can substitute it back into one of the original equations to find the value of y. Let's use Equation 2:

y = 3x - 7

Substituting x = 2, we have:

y = 3(2) - 7

Simplifying the expression, we get:

y = 6 - 7

y = -1

Therefore, the solution to the system of equations is x = 2 and y = -1.

We can also check this solution by substituting the values of x and y back into both original equations to make sure they satisfy both equations.

A pooling equilibrium exists as long as the number of Type H customers in the market is relatively low.

True or False

A pooling equilibrium exists as long as the number of Type H customers in the market is relatively high.

True or False

Brainly Ginny character avatar

AI-generated answer

A pooling equilibrium exists when all customers, regardless of their type, are offered the same product or service. In a pooling equilibrium, the market does not differentiate between different customer types.

Given the statement "A pooling equilibrium exists as long as the number of Type H customers in the market is relatively low," we can analyze its truthfulness:

If the number of Type H customers in the market is relatively low, it means that there are fewer customers of Type H compared to other types. In this scenario, it is more likely that the market will offer a single product or service that caters to the majority of customers, including non-Type H customers. Therefore, it is true that a pooling equilibrium is more likely to exist when the number of Type H customers is relatively low.

On the other hand, if the number of Type H customers in the market is relatively high, it means that there is a significant presence of Type H customers. In this case, the market might be inclined to offer specialized products or services that specifically cater to the needs and preferences of Type H customers. This would result in a segmentation or differentiation of the market, which contradicts the concept of a pooling equilibrium. Therefore, it is false to say that a pooling equilibrium exists when the number of Type H customers is relatively high.

To summarize:

- A pooling equilibrium is more likely to exist when the number of Type H customers in the market is relatively low. (True)

- A pooling equilibrium is less likely to exist when the number of Type H customers in the market is relatively high. (False)

what is the combined version of the equations 5.2*10^6 and 2.47*10^8

Brainly Ginny character avatar

AI-generated answer

To find the combined version of the given equations 5.2*10^6 and 2.47*10^8, we need to add or subtract the numbers and keep the same power of 10.

The numbers in scientific notation have two parts: the coefficient and the power of 10. In this case, we have:

5.2 * 10^6 and 2.47 * 10^8

To combine them, we need to make sure that the powers of 10 are the same. We can do this by adjusting the coefficients.

First, let's adjust the coefficient of 5.2*10^6. We can do this by multiplying it by 10^2:

5.2 * 10^6 * 10^2 = 5.2 * 10^(6+2) = 5.2 * 10^8

Now that we have adjusted the coefficient of 5.2*10^6, we can combine it with 2.47*10^8:

5.2 * 10^8 + 2.47 * 10^8 = (5.2 + 2.47) * 10^8 = 7.67 * 10^8

Therefore, the combined version of the equations 5.2*10^6 and 2.47*10^8 is 7.67*10^8.