Answer:
Please check explanations
Step-by-step explanation:
Here, we have three types of equations and three plotted graphs
we have a quadratic equation
an exponential equation
and a linear equation
For a quadratic equation, we usually have a parabola
The first equation is quadratic and as such the first graph that is parabolic belongs to it
For an exponential equation, we usually have a graph that rises or falls before becoming flattened
The second equation represents an exponential equation so the second graph is for it
Lastly, we have a linear equation
A linear equation usually has a straight line graph
Thus, as we can see, the third graph represents the linear equation
Answer:
a. annual income = $31,200
b. Social Security tax = $1,934.40
c. Medicare = $452.40
Step-by-step explanation:
40 hours in a week
52 weeks in a year
Tom makes $15 / hour
In a year, the
a. annual income = 15*40*52 = 31200
b. Social Security tax = 31200 * 0.062 = 1934.40
c. Medicare = 31200 * 0.0145 = 452.40
Linear Equation
A linear equation is any equation involving one or two variables whose exponents are one. In the case of one variable, one solution exists for the equation. For example, with 2x = 6, x can only be 3.
Linear Inequalities
A linear inequality is any statement involving one or two variables whose exponents are one, where inequality rather than equality is the center of focus
Answer:
$ 44,628
Step-by-step explanation:
Total Interest
$ 32,628
Given:
Image of the ellipse
To find:
The equation of the image
Solution:
The given image is a ellipse.
Center of the ellipse = (0, 0)
x-axis points are (-3, 0) and (3, 0).
y-axis points are (2, 0) and (-2, 0).
Standard form of equation of ellipse:
where (h, k) is the center = (0,0)
a is the point on x-axis where y = 0. Hence a = 3.
b is the point on y-axis where x = 0. Hence b = 2.
Substitute this in the standard form of ellipse.
To make the denominator same multiply 1st term by 
and 2nd term by 
.
Multiply by 36 on both sides
The equation of the image is .
