Maths-
General
Easy
Question
Find the solution of the system of equations.
Hint:
A quadratic equation of the form x2 +( a +b) x + ab can be simplified into (x + a) (x + b). This can be further solved by equating it to zero.
We are asked to solve the set of equation.
The correct answer is: We are asked to solve the set of equation.
Step 1 of 3 :
The LHS of the given set of equation has the same value. Equate the RHS to down the set to a single variable.
Step 2 of 3:
Solve the simplified equation:
Step 3 of 3:
Substitute the values of in any of the equation to get the values of y.
When x = -1,
when x = 4,
Thus, the required sets of solutions are ( -1, -2) and ( 4, -12).
The maximum number of solutions a polynomial of degree two could have is two.
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Consider this simple bivariate data set.
a) Draw a scatter plot for the data.
b) Describe the correlation between x and y as positive or negative.
c) Describe the correlation between x and y as strong or weak.
d) Identify any outliers.
Consider this simple bivariate data set.
a) Draw a scatter plot for the data.
b) Describe the correlation between x and y as positive or negative.
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Consider this simple bivariate data set.
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Find the solution of the system of equations.
y = 13 - 2x
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In a newspaper, the number of photos and number of words were counted for 15 different pages. Here are the results.
a) Sketch a scatter plot using ‘Number of photos’ on the horizontal axis and ‘Number of words’ on the vertical axis.
b) From your scatter plot, describe the general relationship between the number of photos and the number of words per page. Use the words positive, negative, strong correlation or weak correlation.
In a newspaper, the number of photos and number of words were counted for 15 different pages. Here are the results.
a) Sketch a scatter plot using ‘Number of photos’ on the horizontal axis and ‘Number of words’ on the vertical axis.
b) From your scatter plot, describe the general relationship between the number of photos and the number of words per page. Use the words positive, negative, strong correlation or weak correlation.
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Consider the variables x and y and the corresponding bivariate data .
a)Draw a scatter plot for the data.
b)Is there positive, negative or no correlation between x and y?
c)Fit a line of best fit by eye to the data on the scatter plot.
d)Use your line of best fit to estimate:
i)y when x=3.5
ii) y when x=0
iii)x when y=2
iv) x when y=5.5
Consider the variables x and y and the corresponding bivariate data .
a)Draw a scatter plot for the data.
b)Is there positive, negative or no correlation between x and y?
c)Fit a line of best fit by eye to the data on the scatter plot.
d)Use your line of best fit to estimate:
i)y when x=3.5
ii) y when x=0
iii)x when y=2
iv) x when y=5.5
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y = 4x - 5
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b) Describe the correlation between x and y as positive or negative.
c) Describe the correlation between x and y as strong or weak.
d) Identify any outliers.
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b) Describe the correlation between x and y as positive or negative.
c) Describe the correlation between x and y as strong or weak.
d) Identify any outliers.
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