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emmainna [20.7K]
3 years ago
9

Evaluate 1x^3 –2x^2 – 4x- 6 at x = 4

Mathematics
1 answer:
Whitepunk [10]3 years ago
4 0

Answer:

10

Step-by-step explanation:

1x^3-2x^2-4x-6

x^3-2x^2-4x-6

(4)^3-2(4)^2-4(4)-6

64-2(16)-16-6

64-32-16-6

32-16-6

16-6

10

So when x=4, the output will be 10

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Exponential function f is represented by the table. x -2 -1 0 1 2 f(x) -46 -22 -10 -4 -1 Function g is represented by the equati
Scrat [10]

The statement that describes better about function is "Both functions are increasing, but function g increases at a faster average rate." since option (c) is correct.

Given the table

x         f(x)

-2        -46

-1         -22

0         -10

1           -4

2          -1

We have to choose which statement describes better about function

Let us assume f(x)=ab^x+c

at x=0, f(0)=-10

So, -10 =a+c

Similarly, by satisfying the above table in the f(x)

f(x)=\frac{33}{5} (\frac{1}{11})^x-\frac{17}{5}

f'(x) > 0

So we can say that f(x) is an increasing function.

g(x) = - 18  (\frac{1}{3}  )^ x + 2

g^ \prime (x) = - 18 (\frac{1}{3}  )^ x  ln(1/3)

ln(1/3) < 0

So, g^ \prime (x) > 0

So, g(x) is an increasing function.

For any x∈f(x) and  x∈g(x) g'(x) > f'(x)

So, g increases at a faster average rate

Thus, Both functions are increasing, but function g increases at a faster average rate.

Learn more about increasing functions here: brainly.com/question/12940982

#SPJ10

7 0
2 years ago
Here are the results of a survey of 525 people in a town.
Ipatiy [6.2K]
525-238= 287 people speak Welsh
287-135 = 152 males speak welsh

238-163 = 75 females do not speak welsh
135+75 = 210 total females
525-210= 315 total males

152/315= 0.48 ~~ 48%
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Jason has read 70% of a 310 page book. How many pages has he read? How many pages has he not read
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Answer:

50%

Step-by-step explanation:

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3 years ago
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A circular plate has a diameter of 10 inches. What is the distance around the plate?
zavuch27 [327]

Answer:31.42

Step-by-step explanation:

8 0
2 years ago
Write an equation of the line through the point (5, 3) that is perpendicular to the line –3x+7y=5.
Fed [463]

Answer:

7x + 3y = 44

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c (m is the slope and c the y- intercept )

Rearrange - 3x + 7y = 5 into this form by adding 3x to both sides

7y = 3x + 5 ( divide all terms by 7 )

y = \frac{3}{7} x + \frac{5}{7} ← in slope- intercept form

with slope m = \frac{3}{7}

Given a line with slope m then the slope of a line perpendicular to it is

m_{perpendicular} = - \frac{1}{m} = - \frac{1}{\frac{3}{7} } = - \frac{7}{3} , thus

y = - \frac{7}{3} x + c ← is the partial equation

To find c substitute (5, 3) into the partial equation

3 = - \frac{35}{3} + c ⇒ c = 3 + \frac{35}{3} = \frac{44}{3}

y = - \frac{7}{3} x + \frac{44}{3} ← in slope- intercept form

Multiply through by 3

3y = - 7x + 44 ( add 7x to both sides )

7x + 3y = 44 ← in standard form

6 0
3 years ago
Read 2 more answers
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