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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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Zenaida is shopping and wants to purchase a $320 stereo system. The store is offering an incentive of 10 to 30 percent off when
lesantik [10]

The stereo system costs $256.

Step-by-step explanation:

Given:

Cost of the stereo system = $320.  

The discount Zenaida received = 20%.  

To Find:

Cost of the stereo system after the discount=?

Solution:

Step1:  Finding the discount amount:

Discount percentage =20

Discount amount = original cost × discount percent

Substituting the values,

\text { Discount amount }=320 \times 20 \%

\text { Discount amount }=320 \times \frac{20}{100}

\text { Discount amount }=320 \times \frac{1}{5}

\text { Discount amount }=320 \times 0.2

\text { Discount amount }=64

Step 2: Removing the discounted amount from the original price

Final cost of the stereo system =original cost of the stereo system –discount amount

Substituting the values we get,

Final cost=320-64

Final cost=256

Result:

Thus the cost of the stereo system after discount is $256

7 0
2 years ago
Read 2 more answers
Below is the five Number summary for a 136 hikers who recently completed the John muir trail JMT the variable is the amount of t
Helga [31]

Answer:

IQR = Q_3 -Q_1 = 28-18 = 10

Now we can find the limits in order to determine outliers like this:

Left = Q_1 -1.5 IQR = 18 -1.5*10=3

Right = Q_1 +1.5 IQR = 18 +1.5*10=33

So for this case the left boundary would be 3, if a value is lower than 3 we consider this observation as an outlier

b. 3

Step-by-step explanation:

For this case we have the following summary:

Minimum = 9 represent the minimum value

Q_1 = 18 represent the first quartile

Median =Q_2= 21 represent the median

Q_3 = 28 represent the third quartil

Maximum=56 represent the maximum

If we use the 1.5 IQR we need to find first the interquartile range defined as:

IQR = Q_3 -Q_1 = 28-18 = 10

Now we can find the limits in order to determine outliers like this:

Left = Q_1 -1.5 IQR = 18 -1.5*10=3

Right = Q_1 +1.5 IQR = 18 +1.5*10=33

So for this case the left boundary would be 3, if a value is lower than 3 we consider this observation as an outlier

b. 3

7 0
2 years ago
The product of three integers is −5. Determine all of the possible values for the three factors.
tensa zangetsu [6.8K]
-1,1,5
-1,-1,-5
1,1,-5
6 0
2 years ago
Ralph bought a computer monitor with an area of 384 square inches. The length of the monitor is six times the quantity of five l
Alenkasestr [34]
Draw the picture and label the 
  width = w 
 The length of the monitor is six times the quantity of five less than half its width:
 length = 6(w/2-5)
 length = 3w-30
 Area = (length)*(width)
 384=(3w-30)*(w)
 384=3w^2-30w
 Answer:
 the dimensions of the monitor in terms of its width is: 
 384=3w^2-30w
7 0
2 years ago
Explain how to draw a trend line for a scatterplot using the divide-center of data method.
Korvikt [17]
Before you can draw a trend line in your data, you should have a given data at hand. And then draw the trend line or line of best fit.

1. Plot your data in a graphing paper or excel.
2. Make sure that your plotted data has a solid mark to indicate the points in the graph.
3. Divide your data points by labeling x at the center, at the farthest part of your line (left or right diagonally).
4. If you feel that the data are now finely divided, then construct a line base on the x marks you're placing
5. Then you will notice how far or near your date points are by simply looking at the points near the constructed line that you created.
6 0
2 years ago
Read 2 more answers
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