The solution of the linear equations will be (-2, 1).
<h3>What is the solution to the equation?</h3>
The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.
A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
The equations are given below.
y = -(5/2)x - 4
y = (1/2)x + 2
The above equations are the equation of the line.
The lines are drawn on the graph. And the lines intersect at (-2, 1).
Thus, the solution of the linear equations will be (-2, 1).
More about the solution of the equation link is given below.
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Answer:
It is an arithmetic sequence.
Step-by-step explanation:
64 - 7 = 57
121 - 64 = 57
178 - 121 = 57
We have a common difference of 57, so it is arithmetic.
The explicit formula for the nth term
= 7 +57(n - 1).
Answer:
The total weight change for the eight women was -24.
Step-by-step explanation:
In order to find the answer, you have to consider that average is calculated by dividing the total weight change by the number of women and you know that the average was they lost 3 pounds and there were 8 women:
Average= total weight change/number of women
-3=total weight change/8
total weight change=-3*8
total weight change=-24
According to this, the answer is that the total weight change for the eight women was -24.
Answer:
To satisfy the hypotheses of the Mean Value Theorem a function must be continuous in the closed interval and differentiable in the open interval.
Step-by-step explanation:
As f(x)=2x3−3x+1 is a polynomial, it is continuous and has continuous derivatives of all orders for all real x, so it certainly satisfies the hypotheses of the theorem.
To find the value of c, calculate the derivative of f(x) and state the equality of the Mean Value Theorem:
dfdx=4x−3
f(b)−f(a)b−a=f'(c)
f(x)x=0=1
f(x)x=2=3
Hence:
3−12=4c−3
and c=1.
