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telo118 [61]
3 years ago
5

F(x) = 2x2 – 5x – 20 Find f (-9​

Mathematics
1 answer:
Anna [14]3 years ago
6 0

Answer:

<h2>f( - 9) = 187</h2>

Step-by-step explanation:

f(x) =  {2x}^{2}  - 5x - 20

To find f(-9) , substitute the value of x that's -9 into f(x). That is for every x in f (x) replace it with - 9

We have

<h3>f( - 9)  = 2 ({ - 9})^{2}  - 5( - 9) - 20 \\  = 2(81) + 45 - 20 \\  = 162 + 25 \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:</h3>

We have the final answer as

<h3>f( - 9) = 187</h3>

Hope this helps you

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Radical expressions Help pls multiple choice
Ann [662]

Answer:

4th option (sqrt(10))/2

Step-by-step explanation:

\frac{5}{\sqrt{10} }  *  \frac{\sqrt{10}}{\sqrt{10} } \\  \frac{5\sqrt{10}}{10} \\\\frac{\sqrt{10}}{2}

8 0
3 years ago
Suppose that an object moves along the y-axis so that its location is y=x2+3x at time x. (Here y is in meters and x is in second
vfiekz [6]

Answer:

a) 13 m/s

b) (15  + h) m/s

c) 15 m/s

Step-by-step explanation:

if the location is

y=x²+3*x

then the average velocity from 3 to 7 is

Δy/Δx=[y(7)-y(3)]/(7-3)=[7²+3*7- (3²+3*3)]/4= 13 m/s

then the average velocity from x=6 to to x=6+h

Δy/Δx=[y(6+h)-y(6)]/(6+h-6)=[(6+h)²+3*(6+h)- (6²+3*6)]/h= (2*6*h+3*h+h²)/h=2*6+3= (15 + h) m/s

the instantaneous velocity can be found taking the limit of Δy/Δx when h→0. Then

when h→0 , limit Δy/Δx= (15 + h) m/s = 15 m/s

then v= 15 m/s

also can be found taking the derivative of y in x=6

v=dy/dx=2*x+3

for x=6

v=dy/dx=2*6+3 = 12+3=15 m/s

7 0
3 years ago
a persons salary is $2,500 per month. she received a 10% raise. What is her new salary in dollars per month?
Nadya [2.5K]

Answer:

2750

Step-by-step explanation:

10% of 2500 is 250

250 + 2500 = 2750

5 0
3 years ago
Wgich value is closest to 85% of 25..is it20,16,18, or 22
olya-2409 [2.1K]
Well 85% of 25 is 21.25. So the closest ones would be 20 or 22. Well let's check out the difference's. 21.25-20= 1.25.....22-21.25=.75. well clearly .75 is smaller than 1.25 so your answer would be 22. 85% of 25 is closest to 22.
4 0
3 years ago
You will need the same dataset used for problem 3 in homework 1 (the dataset obtained from the yahoo website with the company yo
stepladder [879]

Answer:

a) The probability of sampling at random a fish that is smaller in size than the value you would obtain by subtracting half the standard deviation from the average is 0.3085.

b) The probability of sampling at random a fish that is greater in size than the value you would obtain by adding half the standard deviation from the average is 0.3085.

c) The probability of sampling at random a fish that has a size between the two values is 0.383.

d) The 25th and 75 percentiles of fish size for the population using the normal distribution table is 5.69 and 5.87 respectively.

e) The probability that the average calculated will be less than the value is 0.3707.

Step-by-step explanation:

For the given data set mean (\mu) = 5.75913

Standard deviation (\sigma) = 0.172229

Variance (\sigma2) = 0.0296

Here we get is

a)

P(x < \mu - \sigma/2) = p(x < 5.673) \\\\          = 0.3085

b)

P(x < \mu + \sigma/2) = p(x < 5.845) \\\\= 0.3085

c)

P(\mu - \sigma/2 < x < \mu + \sigma/2) = p(5.673 < x < 5.845) \\\\= 0.383

d)

25th percentile:-

= 25*[(n+1)/100]th term \\\\= 5.69

75the percentile:-

= 75*[(n+1)/100]th term\\\\ = 5.87

e)  

p(x < \mu - \sigma/3) = p(x < 5.7017) \\\\= 0.3707

7 0
3 years ago
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