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VladimirAG [237]
4 years ago
6

PLEASE HELP MEE!!

Mathematics
1 answer:
Arte-miy333 [17]4 years ago
4 0

We have a function f(x) defined below:

f(x) = (4x²-36x)/(x-9)

We can factor the top:

f(x) = (4x)(x-9)/(x-9)

We see an (x-9) term in the top and bottom. This means that we can reduce f(x) down to:

f(x) = 4x

But we must keep in mind that due to the canceling (x-9) terms, there is a <em>removable discontinuity (hole) at x = 9</em>

To find the zeros of f(x), simple set f(x) = 0 and solve for x:

f(x) = 4x

0 = 4x

x = 0

Choice B

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The nth term of a sequence is 25-3n
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Answer:

22, 19, 16 and - 5

Step-by-step explanation:

To evaluate any term from the n th term formula substitute the terms position value for n

given a_{n} = 25 - 3n, then

(a)

a_{1} = 25 - (3 × 1) = 25 - 3 = 22

a_{2} = 25 - (3 × 2) = 25 - 6 = 19

a_{3} = 25 - (3 × 3) = 25 - 9 = 16

(b)

a_{10} = 25 - (3 × 10) = 25 - 30 = - 5


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A safety officer wants to prove that μ = the average speed of cars driven by a school is less than 25 mph. Suppose that a random
Akimi4 [234]

Answer:

t=\frac{24-25}{\frac{2.2}{\sqrt{14}}}=-1.70    

The degrees of freedom are given by:

df=n-1=14-1=13  

The p value for this case would be given by:

p_v =P(t_{(13)}  

Step-by-step explanation:

Information given

\bar X=24 represent the mean height for the sample  

s=2.2 represent the sample standard deviation

n=14 sample size  

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t would represent the statistic

p_v represent the p value for the test

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We want to cehck if the true mean is lees than 25 mph, the system of hypothesis would be:  

Null hypothesis:\mu \geq 25  

Alternative hypothesis:\mu < 25  

The statistic would be given by:

t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}  (1)  

Replacing the info given we got:

t=\frac{24-25}{\frac{2.2}{\sqrt{14}}}=-1.70    

The degrees of freedom are given by:

df=n-1=14-1=13  

The p value for this case would be given by:

p_v =P(t_{(13)}  

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The rectangle is b•h so 5•4 = 20 units²

Area of triangle=1/2bh

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