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disa [49]
3 years ago
12

(x^3+43-49x-7x^2)/(x^2-49)

Mathematics
2 answers:
GaryK [48]3 years ago
7 0
(X-7) is an answer and -300 is the reminder
liraira [26]3 years ago
7 0

Answer:

Quotient = x - 7,

Remainder = -300.

Step-by-step explanation:

Here, the given expression,

\frac{x^3+43-49x-7x^2}{x^2-49}

=\frac{x^3-7x^2-49x+43}{x^2-49}

By the long division ( shown below ), we get,

\frac{x^3-7x^2-49x+43}{x^2-49}=x-7-\frac{300}{x^2-49}

Hence, in the given division problem,

Quotient = x - 7,  

Remainder = -300.

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Yusef drove 130 miles in 2.5 hours. Which equation can be used to calculate r, the average speed at which Yusef drove?
Stels [109]
130 / 2.5 = 52 miles
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3 years ago
zoe paid $18.60 in sales tax and tips for her dinner. The sales tax rate is 11%, and she tipped 20%. (the sales tax does not app
arsen [322]

Answer:

$13.97  was the price of the dinner b4 tax and tip

Step-by-step explanation:

18.60 - 11% (1.84) = 16.76

16.76 - 20%(2.79) = 13.97

5 0
3 years ago
A school will offer pizza on Friday's if at least 30% of the students will buy it. A sample of 50 students asked if they would b
Whitepunk [10]

Answer:

0.0614

Step-by-step explanation:

Solution:-

- The school offers pizza on friday when at-least 30% students are willing to buy.

- The minimum required proportion of students, p = 30%

- A sample of n = 50 students were taken and out of the sample x = 10 people responded willing to buy pizza.

- We will denote a random variable X: the number of students willing to buy Pizza on fridays.

- For the sample of n = 50, for Pizza to be offered on friday the expected number of student who should opt for buying must be at-least:

           Expected ( Mean - u ) = n*p = 50*0.3 = 15 people.

- The standard deviation for the normal distribution can be determined as follows:

          standard deviation ( s ) = √n*p*(1-p)

                                                 = √50*0.3*(0.7)

                                                 = √10.5 = 3.2404

- We will assume that the random variable X follows normal distribution:

                       X ~ Norm ( 15 , 3.2404^2 )

- To determine the probability of sample of size n = 50 with proportion or lower. The number of people willing to buy pizza on friday as per survey are x = 10.

- Evaluate the standard normal ( Z-score ):

                      P ( X < x ) = P ( Z < ( x - u ) / s )

                      P ( X < 10 ) = P ( Z < ( 10 - 15 ) / 3.2404 )

                      P ( X < 10 ) = P ( Z < -1.54301 )

- Use the standard normal tables to determine the value of P ( Z < -1.54301 ):

                     P ( X < 10 ) = P ( Z < -1.54301 ) = 0.0614

Answer: The probability of getting a sample with the proportion or lower given a population with a proportion of .30 is 0.0614.

5 0
3 years ago
Find cos(a) in the triangle.
pickupchik [31]

{\huge{\boxed{\mathcal{\green{ANSWER}}}}} \\ cos( \alpha ) = base \div hypotenuse \\  \\ base \:  =  \: 21 \\  \\ hypotenuse = 29 \\  \\ cos( \alpha ) = 21 \div 29 \\  \\ {\huge{\boxed{\mathfrak{\red{hope \: it \: helps \: }}}}}

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Which of the following expressions is equal to -3x^2-27?
Iteru [2.4K]

Answer:

6

\sqrt{2}

3 0
3 years ago
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