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Evgesh-ka [11]
2 years ago
9

Consider the following system of equations: 10 + y = 5x + x2 5x + y = 1 The first equation is an equation of a . The second equa

tion is an equation of a .
Mathematics
2 answers:
hammer [34]2 years ago
8 0

Answer:

parabola

line

Step-by-step explanation:

next couple ones are

0,1,2

then

1, -11 , 56

youre welcome

aleksley [76]2 years ago
5 0

Answer: The first equation is an equation of a parabola. The second equation is an equation of a line.

Explanation:

The first equation is,

10+y=5x+x^2

In this equation the degree of y is 1 and the degree of x is 2. The degree of both variables are not same. Since the coefficients of y and higher degree of x is positive, therefore it is a graph of an upward parabola.

The second equation is,

5x+y=1

In this equation the degree of x is 1 and the degree of y is 1. The degree of both variables are same. Since both variables have same degree which is 1, therefore it is linear equation and it forms a line.

Therefore, the first equation is an equation of a parabola. The second equation is an equation of a line.

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Estimate the sum to the nearest tenth: (-2.678) + 4.5 + (-0.68) What is the actual sum?
Llana [10]

Answer:

The answer is 1.142

Step-by-step explanation:

and by the way you could have just used a calculator:)

8 0
2 years ago
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Bob is having a party and want to order some cake. there will be 57 guest and he wants to make sure that everyone gets a slice o
Dafna1 [17]
To find out which cake is better for the price, we need to multiply the cake amounts by how many cakes of that kind we need. You need 5 20cm cakes, so we multiply 5 by the price of the 20cm cake (13.50) to get $67.50. You need 3 25cm cakes, so 3 x 18.75 = 56.25.

20cm cake: $67.50
25cm cake: $56.25

Answer: The 25cm cake is cheaper for more people.
4 0
2 years ago
Jesse has a storage container in the shape of a right rectangular prism. The volume of the container is 43.875 cubic meters, the
AVprozaik [17]
All you have to do is divide the volume of the container (43.875) by 5 (length) and 3.9 (width) because the formula for the volume of a rectangular prism is V=lwh. So the answer/height of the storage container is 2.25 meters
8 0
2 years ago
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Which expression is equivalent to 4 sqrt 24x^6y/128x^4y^5
Stels [109]
The first step for finding out if the expression provided is equivalent to \sqrt{4} is to reduce the fraction withx^{4}.
\frac{24 x^{2} y}{128 y^{5} }
Now reduce the fraction with y.
\frac{24 x^{2} }{128 y^{4} }
Finally,, reduce the fraction with 8 to get your final answer.
\frac{3 x^{2} }{16 y^{4} }
Let me know if you have any further questions.
:)
5 0
2 years ago
Upgrading a certain software package requires installation of 68 new files. Files are installed consecutively. The installation
ser-zykov [4K]

Answer:

The probability that the whole package is uppgraded in less then 12 minutes is 0,1271

Step-by-step explanation:

The mean distribution for the length of the installation (in seconds) of the programs will be denoted by X. Using the Central Limit Theorem, we can assume that X is normal (it will be pretty close). The mean of X is 15 and the variance is 15, hence, the standard deviation is √15 = 3.873.

We want to find the probability that the full installation process takes less than 12 minutes = 720 seconds. Then, in average, each program should take less than 720/68 = 10.5882 seconds to install. Hence, we want to find the probability of X being less than 10.5882. For that, we will take W, the standariation of X, given by the following formula

W = \frac{X-\mu}{\sigma} = \frac{X-15}{3.873}

We will work with \phi , the cummulative distribution function of the standard Normal variable W. The values of \phi can be found in the attached file.

P(X < 10.5882) = P(\frac{X-15}{3.873} < \frac{10.5882-15}{3.873}) = P(W < -1,14)

Since the density function of a standard normal random variable is symmetrical, then \phi(-1.14) = 1-\phi(1.14) = 1-0.8729 = 0.1271

Therefore, the probability that the whole package is uppgraded in less then 12 minutes is 0,1271.

Download pdf
7 0
2 years ago
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