Therefore , the solution of the given problem of equation comes out to be the system of equations' answers are (-1, -5) and (1, -5).
The foundation of a regression model based on linearity is the equation y=mx+b. The inclination is B, and the y-intercept is m. Even though y but also y are separate components, the above line is frequently referred as the "mathematical issues with two variables". Two factors make up bivariate linear equations. There are no simple answers for the applications of linear functions. Y=mx+b .
Here,
We can change the second equation into the first equation to find the solution to the system of equations, which results in:
=> x² + (x²-6) = -4
By condensing and rearrangeing, we obtain:
=> 2x² = 2
=> x² = 1
Consequently, x can either be 1 or -1.
We can determine the appropriate values of y by substituting these values of x into either of the two equations:
When x Equals 1:
=> y = x² - 6 = 1 - 6 = -5
When x Equals -1:
=> y = x² - 6 = 1 - 6 = -5
As a result, the system of equations' answers are (-1, -5) and (1, -5).
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The perimeter of a shape is the sum of the all visible side lengths of the shape. The perimeter of the pool including the walkway is 90 + 8x
Given that:
Let the width of the walkway be x.
The dimension of the pool including the walkway is calculated by adding the dimension of the pool to the width of the walkway (on both sides):
So, we have:
The perimeter (P) of the walkway is then calculated using:
This gives:
Collect like terms
Open brackets
Hence, the perimeter of the pool including the walkway is 90 + 8x (see attachment)
Read more about perimeters at:
Answer: x= 4 is an extraneous solution.
Step-by-step explanation:
Since we have given that
We need to find the extraneous solution.
So, our equation becomes,
Now, we will check that x = 4 is an extraneous solution.
Hence, x= 4 is an extraneous solution.
x = 3
y = 4
y = 3
how do you solve this?
Answer:
a). The total number of cattle shared among the three children=200
b). Anita's share=120 cattle
Lordia's share=32 cattle
Richmond's share=48 cattle
Step-by-step explanation:
a)
Step 1
Determine fraction shared between Lordia and Richmond as follows;
Lordia:Richmond=2:3
Let the total cattle be x
Lordia's fraction=2/(2+3)=2/5 of x=(2/5)x
Lordia's fraction=(2/5)x
Richmond's fraction=3/(2+3)=3/5 of x=(3/5) x
but;
x=80 cattle
replacing;
Total number of cattle Lordia got=(2/5)×80=32 cattle
Total number of cattle Richmond got=(3/5)×80=48 cattle
Step 2
Express the total cattle Mr. Atinga had initially as follows;
Let the initial number of cattle be y
The fraction remainder given to Lordia and Richmond=Initial number-fraction of the totat given to Anita
where;
Initial number=y
fraction of the total given to Anita=3/5 y
replacing;
The fraction remainder given to Lordia and Richmond=y-3/5 y=2/5 y
but;
2/5 y=80
y=80×5/2=
y=200
The total number of cattle shared among the three children=200
b).
Anita's share=(3/5)×200=120 cattle
Lordia's share=(2/5)×80=32 cattle
Richmond's share=(3/5)×80=48 cattle