The solution to the system of linear equations is where the two lines intersect.
Look for the point where the two lines intersect. The x-value is 2 1/2, and the y-value is -4.
The answer is C.
Answer:
11
Step-by-step explanation:
The equivalent expression to the given expression is 
<h3>What is an algebraic expression?</h3>
Algebraic expressions are mathematical expressions. They usually consist of one or more variables with their coefficients and arithmetic operators such as: (division, multiplication, addition, and subtraction).
From the given expression, we are to determine an expression that is equivalent to:
To do this, we are going to simplify the above-given expression to its lowest term since we are not given any options to choose equivalent expressions from.
By doing so, we have:
Learn more about solving algebraic expressions here:
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Answer:
Not congruent; not congruent; congruent; congruent; not congruent; not congruent.
Step-by-step explanation:
The base of △ABC, BC, is 2 units. The height of △ABC, extending from A to BC, is 3 units. This means that any triangle congruent to this will have a base of 2 and a height of 3.
△MNP has a base of 2; however, its height (from M to NP) is 4 units. Therefore they are not congruent.
△EFG has a base of 2 and a height of 4; it and △ABC are not congruent.
△STU has a base of 2 and a height of 3; it is congruent to △ABC.
△EFG has a base of 2 and a height of 4, just as △MNP; they are congruent.
Since △STU is congruent to △ABC, and we know that △EFG is not congruent to △ABC, we know that △EFG is not congruent to △STU.
Since △MNP is congruent to △EFG, and △EFG is not congruent to △STU, then △MNP is not congruent to △STU.
Starting salary offered by Company A = $28000
Amount of raise per year given by Company A per year = $3000
Starting salary offered by Company B =$36000
Amount of raise per year given by Company B = $2000
Let us assume the number of years after which the salary offered by Company A will be the same as Company B = x
Then
28000 + 3000x = 36000 + 2000x
3000x - 2000x = 36000 - 28000
1000x = 8000
x = 8000/1000
= 8 years
So from the above deduction we can conclude that after 8 years the salary of Company A and Company B will become equal.
More information's are also provided for the second part of the question.
Starting salary offered by Company C = $18000
Let us assume the amount of raise per year given by Company C = z dollars
Number of years in which the salaries of Company C will become equal to the salaries of Company A and B = 8 years
Then
18000 + 8z = 28000 + (3000 * 8)
18000 + 8z = 28000 + 24000
18000 + 8z = 52000
8z = 52000 - 18000
8z = 34000
z = 34000/8
= 4250 dollars
From the above deduction we can conclude that the raise given by Company C should be $4250.
