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LiRa [457]
3 years ago
5

Which value must be added to the expression x2 – 3x to make it a perfect-square trinomial?

Mathematics
1 answer:
Vitek1552 [10]3 years ago
7 0

Answer:

\frac{9}{4}

Step-by-step explanation:

Given

x² - 3x

To make the expression a perfect square

add ( half the coefficient of the x- term )²

x² + 2( - \frac{3}{2} )x + \frac{9}{4}, thus

x² - 3x + \frac{9}{4}

= (x - \frac{3}{2})² ← a perfect square

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Andre types 208 words in 4minutes. Noah types 342 words in 6 minutes. Who types faster? Explain your reasoning
Strike441 [17]

Answer:

Noah types faster.

Step-by-step explanation:

Andre types 52 words per minute.

Noah types 57 words per minute.

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3 years ago
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If Qr=58 and pq=13 find pr
Oksanka [162]

Answer:

PR=71

Step-by-step explanation:

visualize:

P                Q               R

O-------------O-------------O

       13               58

so if PQ + QR = PR, than 13+58=PR

13+58=71

PR=71

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3 years ago
2(3y + 4 + 2) = 196 − 16?<br><br> What is the value of Y?<br><br> A 26<br> B 28<br> C 30<br> D 32
stepladder [879]
Here's what I got. I've explained the work, but sorry for being slow.

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4 years ago
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The formula S=16t^2 is used to approximate the distance S, in feet, that an object falls freely from rest in t seconds. The heig
astraxan [27]
H(t)=-16t^2+1221 is the function for the height as a function of time.  It will hit the ground when h=0 so:

-16t^2+1221=0

16t^2-1221=0

16t^2=1221

t^2=1221/16

t=√(1221/16) seconds

t≈8.74 seconds  (to nearest hundredth of a second)
7 0
3 years ago
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A research scientist wants to know how many times per hour a certain strand of bacteria reproduces. The mean is found to be 11.4
GREYUIT [131]

Answer:

The 90% confidence interval for the true mean number of reproductions per hour for the bacteria is between 11.2 and 11.6 reproductions.

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1-0.9}{2} = 0.05

Now, we have to find z in the Ztable as such z has a pvalue of 1-\alpha.

So it is z with a pvalue of 1-0.05 = 0.95, so z = 1.645

Now, find M as such

M = z*\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

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The lower end of the interval is the sample mean subtracted by M. So it is 11.4 - 0.2 = 11.2 reproductions.

The upper end of the interval is the sample mean added to M. So it is 11.4 + 0.2 = 11.6 reproductions.

The 90% confidence interval for the true mean number of reproductions per hour for the bacteria is between 11.2 and 11.6 reproductions.

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