The solution of the equation is x= 3 and y = 2
Step-by-step explanation:
Given,
-3x-4y = -17 and
-x-3y = -9
The system of equation can be rewritten as
3x+4y = 17 ------eq 1 and
x+3y = 9 ------ eq 2
To solve for x and y
Multiplying eq 2 by 3 we get,
3x + 9y = 27
or, 3x = 27-9y
Putting this value of x into eq 1 we get,
27-9y +4y = 17
or, -5y = 17-27
or, -5y = -10
or, y = 2
Now put y=2 in eq 2 we get,
x = 9 - 3(2)
= 3
Hence the solution is x = 3 and y = 2
The value of <em>a</em> and <em>b</em> for the data values of stalk of corn using the logarithmic regression is -76.2038 and 37.6735 respectively.
<h3>What is logarithmic regression?</h3>
Logarithmic regression is a type of regression which is used to model the statement in which the growth or decay initially at rapid rate, and then slow down with respect to time.
The data of the table for the day and height of the stalk of corn is listed below.
Day (<em>x</em>) 9 12 22 40
Height (<em>y</em>) in 5 17 45 60
Mean of x values,
Mean of y values,
For the above table, the value of correlation coefficient is 0.99133. For these values, the logarithmic regression can be given as,
Compare it with the following logarithmic regression equation, we get
Hence, the value of <em>a</em> and <em>b</em> for the data values of stalk of corn using the logarithmic regression is -76.2038 and 37.6735 respectively.
Learn more about the logarithmic regression here;
brainly.com/question/25226042
Lowest Common Denominator refers to lowes t common multiple. These expressions have two terms 'x' and 'y' and we want to choose the expression that has the highest power such that the other expressions can be multiplied into the common denominator.
For the 'x' term, the highest power is x⁴ and for the 'y' term, the highest power is y⁵
Common denominator of A, B, C, and D: x⁴y⁵
We want to use the Substitution method to solve
7x - 2y = 1 (1)
x - 2y = 1 (2)
From equation (1), obtain
2y = 7x - 1 (3)
Substitute (3) into (2).
x - (7x - 1) = 1
-6x + 1 = 1
-6x = 0
x = 0
From (3), obtain
2y = 7*0 - 1 = -1
y = -1/2
Answer: (0, -1/2) or x=0, y= -1/2.
Answer:
The Volume of triangular prism
V = 450 cm³
Step-by-step explanation:
<u><em>Explanation</em></u>:-
Given The area of cross section of a prism A = 45cm²
and height (h) = 10 cm
The Volume of triangular prism
V = ( Base area X Height )
= 45 X 10
= 450 cm³
The Volume of triangular prism
V = 450 cm³
