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2 years ago

Given the equation 2Square root of x minus 5 = 2, solve for x and identify if it is an extraneous solution.

Mathematics

2 answers:

sashaice [31]2 years ago

6 0

Answer:

x=196

Step-by-step explanation:

In order to solve this you just have to clear X fro the equation and solve:

$2\sqrt{x} - 5=2\\ 2\sqrt{x}=2+5\\\sqrt{x}=7*2\\x=14^2\\x=196$ Once you´ve calculated this you have the solution for the equation, that is x.

It is not an extraneous solution.

Aleks [24]2 years ago

4 0

For what values of b is f(x) = b^x an increasing function?

A.Any real number
B.b > 0
C.b > 1
D.0

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The graph represents the function where electricity usage in kilowatts per hour of a clock radio varies directly with the number

geniusboy [140]

Answer:

Reasonable estimation for constant of variation is 0.25 kWh per day.

Step-by-step explanation:

We are given the following information in the question:

The graph represents the function where electricity usage.

Electricity usage in kilowatts per hour of a clock radio varies directly with the number of days.
The x-axis shows the number of days and usage in kilo-watt per hour is showed on the y-axis.
Some coordinates of the graph are: (0,0), (2,0.5) and (6,1.5)

Formula for constant of variation:

$\displaystyle\frac{y_2-y_1}{x_2-x_1}$

Putting the values from the coordinates (2,0.5) and (6,1.5), we get:

$\displaystyle\frac{1.5-0.5}{6-2} = \frac{1}{4} = 0.25\text{ kilowatt-hours per day}$

Hence, reasonable estimation for constant of variation is 0.25 kWh per day.

7 0

2 years ago

Read 2 more answers

A study of immunizations among school‑age children in California found that some areas had rates of unvaccinated school‑age chil

Rom4ik [11]

Answer:

Probability that none of the 20 children in such a classroom would be unvaccinated is 0.055.

Step-by-step explanation:

We are given that a classroom of 20 children in one such area where 13.5% of children are unvaccinated.

If there are no siblings in the classroom, we are willing to consider the vaccination status of the 2020 unrelated children to be independent.

The above situation can be represented through binomial distribution;

$P(X=r) = \binom{n}{r} \times p^{r} \times (1-p)^{n-r} ; x = 0,1,2,3,......$

where, n = number of trials (samples) taken = 20 children

r = number of success = none of the 20 children

p = probability of success which in our case is probability that

children are unvaccinated, i.e; p = 13.5%

Let X = Number of children that are unvaccinated

So, X ~ Binom(n = 20, p = 0.135)

Now, Probability that none of the 20 children in such a classroom would be unvaccinated is given by = P(X = 0)

P(X = 0) = $\binom{20}{0} \times 0.135^{0} \times (1-0.135)^{20-0}$

= $1\times 1 \times 0.865^{20}$

= 0.055

Hence, the probability that none of the 20 children in such a classroom would be unvaccinated is 0.055.

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2 years ago

r. Yi buys vegetables at a market. He purchases 6 pounds of potatoes, p, and 3 pounds of onions, n, for $18. Onions cost twice a

ad-work [718]

Answer:

The equation 2n = p should be 2p = n.
The actual cost of the onions is $3.00 per pound.
Potatoes cost $1.50 per pound.

Step-by-step explanation:

The wording "onions cost twice as much as potatoes" is understood to mean the cost per pound of onions (n) is equal to two times the cost per pound of potatoes (2p). Then the appropriate equation would be ...

2p = n

Then the solution is ...

6p +3(2p) = 18

12p = 18

p = 18/12 = 1.50

n = 2p = 2(1.50) = 3.00

The equation should be 2p = n; onions cost $3.00 per pound; potatoes cost $1.50 per pound.

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2 years ago

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ZanzabumX [31]

Answer: