Answer:
Step-by-step explanation:
put x=7 in the given equation
which is true .
∴ x=7 is a solution of the given eq.
now put x=4 in the given eq.
which is not true.
∴x=4 is an extraneous solution.
Answer:
y=1x+2 or y=x+2
Step-by-step explanation:
We know that the slope is going to be one since the slopes of parallel lines are equal and the other equation has a slope of 1. We can then use the equation y=1x+b and the point given, (2,4), to find the y-intercept, b. You plug in (2,4) as your x and y values to get 4=1(2)+b. You can then solve this by multiplying to get 4=2+b, then subtracting 2 from both sides to get b=2. We can then use b to complete the equation as y=1x+2 or y=x+2.
C.) Mike is using the minimum recommended percentages for food, housing, and transportation. The costs are likely to exceed the expenses in each category.
Answer:
In order to sketch a parabola, one will typically use the y-intercept, the x-intercepts, and the vertex.
Step-by-step explanation:
In order to sketch a parabola, one will typically use the given equation in standard form, , and:
- The y-intercept – the point where the parabola crosses the vertical axis – by substituting 0 for all <em>x</em> values in the given equation and solving for <em>y</em>.
- The x-intercepts – the points where the parabola crosses the horizontal axis – by setting the given equation equal to 0 (i.e., <em>y</em> = 0) and finding the factors (or roots).
- The vertex – the point of symmetry where the parabola changes direction and curves up or down – by using to find the x-coordinate then plugging that value into the given equation to find the y-coordinate.