Answer:
(-2, 4)
Step-by-step explanation:
Hello!
There are two solutions for this system, which can be found by looking at the intersections of the two graphs.
The first intersection is at point (-2, 4), and the second one is at point (4, -3).
Since the second option is not a given option, it is the last option (-2, 4).
Use the definition of conditional probability to find the "and" probability:
Use the inclusion/exclusion principle to find the "or" probability:
Answer:
See pictures attached
Step-by-step explanation:
The conjunction is given by the intersection of 2 inequalities
-5 < x (or x > -5)
that is the set of real number such that x greater than -5, graphically is represented by picture 1 attached (the parentheses means that -5 IS NOT included)
and the inequality
x ≤ 7
which is the set of real number such that x less than or equal to 7, represented in picture 2 attached (the bracket means that 7 IS included)
When we intersect the two sets we obtain
– 5 < x ≤ 7
that is the set of numbers x such that x is greater than -5 AND x less than or equals to 7, which graphically is represented in picture 3 attached.
Although you didn't provide a list of options to choose from, I hope my explanation will help you work this out with ease. :)
This equation is in a form known as "standard form." ax+by=c Standard form is commonly used, however for comparing slopes, there is a more efficient equation to use.
Point-slope form (y=mx+b) allows lines' slopes (y) and y-intercepts (b) to be quickly compared and contrasted. Let's put the equation into this form.
2x-y=-1
-2x -2x
-y = -1 - 2x
*-1 *-1
y= 1 + 2x
Switch pieces around
y= 2x + 1
The slope is 2, the y intercept is 1.
<h2><u>Any line that rises 2 units up for every one unit right and that crosses over the vertical axis at any point other than 1 is your answer.</u></h2>
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The <em><u>correct answer</u></em> is:
The equation has no solution; therefore, the system of equations has no solution.
Explanation:
When solving a system of equations, after we combine the equations, if we find that there is no solution, that means that there is no solution to the entire system of equations.
