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Anika [276]
3 years ago
15

PLEASE ANSWER + BRAINLIEST!! Use the quadratic formula to solve. 3x^2 = 5x

Mathematics
1 answer:
ra1l [238]3 years ago
6 0
The quadratic formula is:

\frac{-b \pm  \sqrt{b^2-4ac} }{2a}

To solve the equation using the quadratic formula, we must put it in ax^2+bx+c form.

3x^2 - 5x + 0 = 0

Now plug a, b, and c into the formula and solve:

\frac{5 \pm  \sqrt{25 - 4(3)(0)} }{6}

Simplify:

\frac{5 \pm  \sqrt{25-0} }{6}

\frac{5 \pm 5}{6}

x = \frac{10}{6} or 0

Reduced, the answer is:

x = 5/3 or 0







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The most recent poll of 50 randomly-selected members of a school club with a total of 80 members showed that 38 are planning to
melisa1 [442]

Answer with Explanation:

Total number of members in School Club = 80 members

Number of member randomly Selected,that is sample size used  (P) = 50 members

Number of members who are planning to vote for Talia = 38 members

Z Score for 95% confidence interval =1.96

it is given that Margin of Error ,E,of the poll using a 95% confidence interval=12%

E=\frac{Z*\sigma}{\sqrt{P}}\\\\ \frac{12}{100}=\frac{1.96 * \sigma}{\sqrt{50}}\\\\ \sigma=4.32890

Standard Deviation=4.3 (approx)

→95% confidence level for students who are planning to vote for Talia as president of the club lie between → 38 + 4.3 = 42.3 to 38 -4.3=33.7.

→So, members which will vote for Talia as president of the club lies between minimum of 33 members and maximum of 42 members.

5 0
3 years ago
Read 2 more answers
A rental car company charges $63.41 per day to rent a car and $0.05 for every mile driven. Ella wants to rent a car, knowing tha
zvonat [6]

Answer:

2 days

Step-by-step explanation:

275 miles times 0.05 = $13.75 for mileage

200-13.75=186.25 left

186.25/63.41(daily fee)= 2.93

She can rent it for 2 days

6 0
2 years ago
Find the domain of the function y = 3 tan(23x)
solmaris [256]

Answer:

\mathbb{R} \backslash \displaystyle \left\lbrace \left. \frac{1}{23}\, \left(k\, \pi + \frac{\pi}{2}\right)  \; \right| k \in \mathbb{Z}  \right\rbrace.

In other words, the x in f(x) = 3\, \tan(23\, x) could be any real number as long as x \ne \displaystyle \frac{1}{23}\, \left(k\, \pi + \frac{\pi}{2}\right) for all integer k (including negative integers.)

Step-by-step explanation:

The tangent function y = \tan(x) has a real value for real inputs x as long as the input x \ne \displaystyle k\, \pi + \frac{\pi}{2} for all integer k.

Hence, the domain of the original tangent function is \mathbb{R} \backslash \displaystyle \left\lbrace \left. \left(k\, \pi + \frac{\pi}{2}\right)  \; \right| k \in \mathbb{Z}  \right\rbrace.

On the other hand, in the function f(x) = 3\, \tan(23\, x), the input to the tangent function is replaced with (23\, x).

The transformed tangent function \tan(23\, x) would have a real value as long as its input (23\, x) ensures that 23\, x\ne \displaystyle k\, \pi + \frac{\pi}{2} for all integer k.

In other words, \tan(23\, x) would have a real value as long as x\ne \displaystyle \frac{1}{23} \, \left(k\, \pi + \frac{\pi}{2}\right).

Accordingly, the domain of f(x) = 3\, \tan(23\, x) would be \mathbb{R} \backslash \displaystyle \left\lbrace \left. \frac{1}{23}\, \left(k\, \pi + \frac{\pi}{2}\right)  \; \right| k \in \mathbb{Z}  \right\rbrace.

4 0
2 years ago
Kendra owns a restaurant. She charges $3.00 for 2 eggs and one piece of toast, and $1.80 for one egg and one piece of toast. How
34kurt
Assume E represents the cost of an egg and T represents the cost of one piece of toast.

We can construct two equations :
2E + T = $3.00 - - - - - (a)
E + T = $1.80 - - - - - (b)

Subtract equation b from a:
E = $1.20 (The price of one egg)

To find out the price of one piece of toast, replace the price of one egg in equation b:
T = $1.80 - $1.20 = $0.60 (The price of one piece of toast)

Hope that helps you

7 0
3 years ago
Whoever answers this will get 50 point! How do I find the MEAN, give the process, of the data set? City A: {3, 4, 6, 4, 3, 1, 4}
Flauer [41]

Answer:

Mean of City A is 3.6. Mean of City B is 4.6.

Step-by-step explanation:

To find the mean of a data set you add all the numbers in the data set and then divide your answer by how many numbers are in the data set.

5 0
3 years ago
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