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1 year ago

F(4)= V If g(x) = 2, x = V

Mathematics

1 answer:

gizmo_the_mogwai [7]1 year ago

7 0

By looking at the given graph, we can see that:

f(4) = -10
g(x) = 2 if x = 0.

<h3>How to identify the value of the function?</h3>

First, we want to find the value f(4). To get that, we need to look at the graph and see the y-value of the function f(x) when x = -4.

By looking at the graph, we can see that f(4) = -10.

Now we know that g(x) = 2, and we want to find the value of x.

Then we need to see the x-value such that g(x) = 2, by looking at the graph of g(x), we can see that it is equal to 2 in the vertex, which is at x = 0.

Then g(x) = 2 when x = 0.

If you want to learn more about graphs:

brainly.com/question/4025726

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7/16 times 2 PLEASE ANSWER SIMPLIFY AND ANSWER HAS TO BE A SIMPLIFIED FRACTION PLS PLS PLS MAKE IT A MIXED NUMBER

Rzqust [24]

Answer:

$\frac{14}{16}$ simplified to $\frac{7}{8\\}$

Step-by-step explanation:

$\frac{7}{16} times \frac{2}{1} you get \frac{14}{16} \\this \\simplifies \\to \frac{7}{8}$

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3 years ago

Find the arc length of a central angle of pi/4 in a circle whose radius is 8 inches

xxTIMURxx [149]

The arc length will be given by:
C=Θ/360πd
where:
Θ=45
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hence;
C=45/360*π*16
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8 0

3 years ago

The number of fish in a small bay is modeled by the function F defined by F(t)=10 (t3 â 12t2 + 45t +100), where t is measured in

RSB [31]

The graph of the given function is attached showing characteristics of the function.

The correct responses are;

(a) F'(4) = -30 means that on day 4, the number of fish in the bay is decreasing at a rate of 30 fish per day.

(b) Over the interval 0 ≤ t ≤ 8 the absolute minimum number of fish in the bay is; 1,000.

(d) The rate of change of the number of pelicans flying near is; P' = 10·(3·c² - 24·c + 45)

Reasons:

The given function is; f(t) = 10·(t³ - 12·t² + 45·t + 100)

Where;

t = Number of days

0 ≤ t ≤ 8

(a) The derivative of the given function is presented as follows;

F'(t) = 10 × (3·t² - 2×12·t + 45) = 10·(3·t² - 24·t + 45)

Therefore;

F'(4) = 10 × (3 × 4² - 24 × 4 + 45) = -30

Therefore F'(4) = -30 means that on day 4, the number of fish in the bay is decreasing at 30 fish per day.

(b) The absolute minimum is given as follows;

At a minimum or maximum value, F'(t) = 10·(3·t² - 24·t + 45) = 0

Which gives;

3·(t - 5)·(t - 3) = 0

t = 5, or t = 3

At t = 5, we have;

f(5) = 10 × (5³ - 12 × 5² + 45 × 5 + 100) = 1,500

At t = 3, we have;

f(3) = 10 × (3³ - 12 × 3² + 45 × 3 + 100) = 1,540

Therefore, f(5) = 1,500 is a local maximum

However, at x = 0, we have;

f(0) = 10 × (0³ - 12 × 0² + 45 × 0 + 100) = 1000

At x = 8, we have;

f(8) = 10 × (8³ - 12 × 8² + 45 × 8 + 100) = 2,040

Therefore, the absolute minimum is given at t = 8, where f(t) = 1,000

bay is decreasing is between the local maximum at t = 3, and the local

minimum at t = 5, which gives;

The rate of change of the number of fish is decreasing for values of t in the range;

3 ≤ t ≤ 5

(d) P = 10·(t³ - 12·t² + 45·t + 100)

P' = 10·(3·t² - 24·t + 45)

At time t = c, we have;

P' = 10·(3·c² - 24·c + 45)

Based on a similar question online, we have;

(c) The interval over which the rate of change is decreasing

(d) The rate of change of the number of pelicans flying near the bay at t = c

Learn more about differentiation of functions here:

brainly.com/question/1422315

5 0

2 years ago

An online poll has a question that appears on the screen, and you simply click buttons to vote "Yes, " "No, " "Not sure, " or "D

ahrayia [7]

Answer:

1,324 responses

Step-by-step explanation:

If the number of "Yes" and "No" answers are stated and then it was given that the remaining answers were "Not sure", it can be assumed that no answer was "Don't Care". Therefore, the sample size is the sum of the number of "Yes", "No", and "Not sure" answers:

$S= 636+595+93 = 1,324$