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san4es73 [151]
3 years ago
5

How do you convert x^2+4x+2 in vertex form?Please explain how you do it.​

Mathematics
2 answers:
Y_Kistochka [10]3 years ago
7 0

Answer:

(-2,-2)

Step-by-step explanation:

kaheart [24]3 years ago
4 0

Answer:

f(x)=(x+2)2−3 or  (x−(−2)2−3

Step-by-step explanation:

Vertex form of equation is

f(x)=a(x−h)2+k

Here, we have f(x)=x2+4x+1, hence we have a=1. So for converting to this form, we complete the square using

(x+a)2=x2+2ax+a2 for which we have to identify a and then add and subtract a2. Hence,

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A pan of lasagna cut into 100 servings is equally shared among a group of people. For Exercises
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53).  100 servings / 20 people  =  (100/20) (svngs/ppl)

                                                 = 5 servings per person.

         Each person gets 1/20 = 5% = 0.05 of the pan.


54).  100 servings / 40 people  =  (100/40) (svngs/ppl)

                                                 = 2.5 servings per person.

         Each person gets  1/40 = 2.5% = 0.025 of the pan.


55).  100 servings / 30 people  =  (100/30) (svngs/ppl) 

                                                  = (3 and 1/3) servings per person.

         Each person gets  1/30 = (3 and 1/3) % = 0.0333... of the pan.
 
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3 years ago
I need help with this question
OverLord2011 [107]

if the lower pointvis 56 the dot line will be 55.5

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3 years ago
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During a recent year, charitable contributions in the United States totaled $330 billion. The following graph shows to whom this
victus00 [196]

Answer:

$49,500,000,000 billion or $49.5 billion

Step-by-step explanation:

10% of 330,000,000,000 = 33,000,000,000

5% of 330,000,000,000 = 16,500,000,000

15% of 330,000,000,000 = 49,500,000,000

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In 2008, there were 507 children in Arizona out of 32,601 who were diagnosed with Autism Spectrum Disorder (ASD) ("Autism and de
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Answer:

The 99% confidence interval for the proportion of ASD in Arizona is (0.014, 0.018).

Step-by-step explanation:

The information provided is as follows:

x=507\\n=32601\\\text{Confidence level }=99\%

The sample proportion is:

\hat p=\frac{x}{n}=\frac{507}{32601}=0.016

The critical value of <em>z</em> for 99% confidence level is, <em>z</em> = 2.56.

Compute the 99% confidence interval for the proportion of ASD in Arizona as follows:

CI=\hat p\pm z_{\alpha/2}\cdot\sqrt{\frac{\hat p(1-\hat p)}{n}}

    =0.016\pm 2.58\cdot\sqrt{\frac{0.016(1-0.016)}{32601}}\\\\=0.016\pm 0.0018\\\\=(0.0142, 0.0178)\\\\\approx (0.014, 0.018)

Thus, the 99% confidence interval for the proportion of ASD in Arizona is (0.014, 0.018).

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