Given:
The system of equations:
To find:
The number that can be multiplied by the second equation to eliminate the x-variable when the equations are added together.
Solution:
We have,
...(i)
...(ii)
The coefficient of x in (i) and (ii) are 1 and 
respectively.
To eliminate the variable x by adding the equations, we need the coefficients of x as the additive inverse of each other, i.e, a and -a So, a+(-a)=0.
It means, we have to convert into -1. It is possible if we multiply the equation (ii) by -5.
On multiplying equation (ii) by -5, we get
...(iii)
On adding (i) and (iii), we get
Here, x is eliminated.
Therefore, the number -5 can be multiplied by the second equation to eliminate the x-variable.
Answer:
the difference is 75.5
Step-by-step explanation:
Answer:
32x^2+4x
3x-7, g(x)=2x^(2)-3x+1, h(x)=4x+1, k(x)
We have been given the expression to be 
Since we need to find the tangent at a point, we will have to find the derivative of 
as the slope of the tangent at a given point on the curve is always equal to value of the derivative at that point.
Thus, we have to find 
We will use the product rule of derivatives to find 
Thus, 
(using the product rule which states that 
)
Taking the common factors out we get:
Thus, 
at 
is given by:
=Slope of the tangent of y at x=4=
Thus, 
Now, the equation of the tangent line which passes through 
and has slope m is given by:
Thus, the equation of the tangent line which passes through 
and has the slope 185 is
Which can be simplified to 
Thus, 
This is the required equation of the tangent.
Answer:
yes, it is
Step-by-step explanation:
a rational number is any number that can be expressed as a quotient or fraction
