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Scilla [17]
3 years ago
7

Asap Select the correct answer. Which function has a restricted domain?

Mathematics
1 answer:
german3 years ago
8 0

Step-by-step explanation:

Check second one

\\ \rm\Rrightarrow k(x)=(-x+3)^{\frac{1}{2}}

  1. 1/2 means square root

\\ \rm\Rrightarrow \sqrt{(-x+3)}

So

\\ \rm\Rrightarrow -x+3>0

\\ \rm\Rrightarrow -x>-3

\\ \rm\Rrightarrow x

Hence.

Domain is restricted

Option B is correct

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What is the quotient (2x^2+10x+12)/(x+3)
vova2212 [387]

Answer:

3

Step-by-step explanation:

4 0
3 years ago
A panda and a giraffe start moving towards each other when they are 300 feet apart. The panda is running at a speed of P feet pe
liq [111]

Answer:

(2P + G) feet/min

Step-by-step explanation:

Speed of the panda = P

Speed of the giraffe = P + G

Thus,

Speed of Panda + Speed of Giraffe = approaching time

= P + P + G

= <u>2P + G</u>

Thus, The panda and the giraffe are approaching each other at a rate

of <u>(2P + G) ft/min</u>

<u></u>

<em>Hope it helps :)</em>

6 0
3 years ago
How many solutions does the nonlinear system of equations graphed below
yan [13]

Answer:

D. zero

Step-by-step explanation:

Since the graphs do not intersect, there are zero solutions.

6 0
3 years ago
Several years​ ago, 50​% of parents who had children in grades​ K-12 were satisfied with the quality of education the students r
galina1969 [7]

Answer:

The 95% confidence interval for the proportion of parents that are satisfied with their children's education is (0.4118, 0.4618). 0.5 is not part of the confidence interval, so this represents evidence that​ parents' attitudes toward the quality of education have changed.

Step-by-step explanation:

We have to see if 50% = 0.5 is part of the confidence interval.

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

For this problem, we have that:

n = 1095, \pi = \frac{478}{1095} = 0.4365

95% confidence level

So \alpha = 0.05, z is the value of Z that has a pvalue of 1 - \frac{0.05}{2} = 0.975, so Z = 1.96.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.4365 - 1.96\sqrt{\frac{0.4365*0.5635}{1095}} = 0.4118

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.4365 + 1.96\sqrt{\frac{0.4365*0.5635}{1095}} = 0.4612

The 95% confidence interval for the proportion of parents that are satisfied with their children's education is (0.4118, 0.4618). 0.5 is not part of the confidence interval, so this represents evidence that​ parents' attitudes toward the quality of education have changed.

5 0
3 years ago
heather has divided $6300 between two invesments, one paying 9%, the other paying 4%. If the return on her investment is $372, h
Ganezh [65]
Assuming that the two investments are  X & Y
X + Y = 6300
X = 6300 - Y                                       (1)

9/100X + 4/100 Y = 372                       (2)
replacing X from (1) into (2)
9/100(6300-Y) + 4/100 Y = 372
567 - 9/100Y +4/100Y = 372
(-9+4)/100Y = 372 - 567
5/100Y = -195
Y = 100*195/5 = 3900
From (1) we can get X
X = 6300 - 3900 = 2400

I hope this is helpful 



6 0
3 years ago
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