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Norma-Jean [14]
3 years ago
5

Suppose f is a function and f(1) = 3. In addition suppose that, as x goes from 1 to 4, the average rate of change of f is – 6. I

n the text box below, enter the value of f(4*()). Your answer should be a number; do not enter letters or other symbols in the text box. Your answer must be exact, please do not round off your answer. For example, do not round off 1/3 to be .33. After entering your answer, click the Save Answer button.
Mathematics
1 answer:
Jobisdone [24]3 years ago
4 0

Answer:

f(4) = -15

Step-by-step explanation:

Since we have an average rate of change, we can deduce that a line, with a gradient of -6 joins the points on the function, f, when the parameter is 1 and when it is 4, i.e. the line passes through the point (1, 3) and has a gradient of -6;

From this, we know that for every value of x we increase the, value y will decrease by 6;

So if we increase 1 by 3, to get to 4, the y value must decrease by 18 (3×6);

Written mathematically, it would look like:

f(4) = 3 + (4 - 1)(-6)

= 3 - 18

= -15

(4, -15)

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writing and reasoning. write the number 34 and the number 43 as tens plus ones. how are they different?
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34 is 3 tens and 4 ones whereas 43 is 4 tens and 3 ones they are different because they have different values.

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3 years ago
Simplify completely -3 (4-9) + 6 - 2 (-8 + 5)
aivan3 [116]
27 is the answer, I can explain how I got that if you need.
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3 years ago
15+9=? (5+3) What number is missing from the expression?
Airida [17]

Answer:

<h3>\boxed{ \boxed{ \bold{  \mathsf{3}}}}</h3>

Step-by-step explanation:

Let the missing number be 'x'

⇒\mathsf{15 + 9 = x(5 + 3)}

Distribute x through the parentheses

⇒\mathsf{15 + 9 = 5x + 3x}

Swap the sides of the equation

⇒\mathsf{5x + 3x = 15 + 9}

Add the numbers

⇒\mathsf{5x + 3x = 24}

Collect like terms

⇒\mathsf{8x = 24}

Divide both sides of the equation by 8

⇒\mathsf{ \frac{8x}{8}  =  \frac{24}{8} }

Calculate

⇒\mathsf{x = 3}

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4 0
2 years ago
Given that an American is a male, what is the probability that he prefers name-brand milk? b. Given that an American is a female
Evgesh-ka [11]

Answer:

a) 0.280

b) 0.300

c) No, preference is not independent of gender. Since the P(N) (0.29) is not equal to P(N|M) (0.28) and/or P(N|F) (0.30), the preference and gender are not completely, statistically independent. It's very close though.

Step-by-step explanation:

Let the probability that the somebody surveyed is a male be P(M)

Let the probability that somebody surveyed is female be P(F)

Let the probability that somebody surveyed picked the name-brand milk be P(N)

Let the probability that somebody surveyed picked the store-brand milk be P(St)

Let the probability that somebody surveyed picked the something else be P(So)

a) Given that an American is a male, what is the probability that he prefers name-brand milk = P(N|M) = 319/1138 = 0.280

b) Given that an American is a female, what is the probability that she prefers name-brand milk = P(N|F) = 341/1138 = 0.300

c) To investigate if the preference and gender are independent or not, we need the P(N)

P(N) = probability that an average an Average American (male or female) will prefer a nam-brand milk = 660/2276 = 0.290.

Since the P(N) (0.29) is not equal to P(N|M) (0.28) and/or P(N|F) (0.30), the preference and gender are not statistically independent. It's very close though.

3 0
3 years ago
Plz help me with this q
marin [14]

Answer:

lenght is 6

Step-by-step explanation:

i think so

HOPE IT HELPS!!!

7 0
2 years ago
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