<span>We want to check how many intersections line A and B have, that is, we want to check how many common solutions do these equations have:
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i) 2x + 2y = 8
ii) x + y = 4
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use equation ii) to write y in terms of x as : y=4-x,
substitute y =4-x in equation i):
</span>2x + 2y = 8
2x + 2(4-x) = 8
<span>2x+8-2x=8
8=8
this is always true, which means the equations have infinitely many common solutions.
Answer: </span><span>There are infinitely many solutions.</span><span>
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For the function y = 7x - 1, if you state that the domain(or all the numbers you can substitute in for "x") of that function is the set of all real numbers, then you can assume that there will be an infinite number of solutions for the function.
In other words, if you substitute any real number in for "x" you will find that you will get a corresponding value for "y". In fact, these "pairs" of corresponding values of x and y are called ordered pairs and represent the various solutions of the equation.
Your response should be choice D:
The shape of the distribution is rectangular, also Uniform and Symmetrical
To find the GCF:
-- List the factors of the first number.
-- List the factors of the second number.
-- Make a short list of the factors that show up for BOTH numbers.
-- Find the biggest number on the short list.
Factors of the first number (99): <u>1</u>, 3, 9, <u>11</u>, 33, 99 .
Factors of the second number (121): <u>1</u>, <u>11</u>, 121 .
Short list (factors that show up for both numbers): 1, 11
Biggest number on the short list: <em>11</em>
Answer: -1t + 720
Step-by-step explanation:
He worked at both jobs for 90 hours for this month.
He worked t hours as a tutor which means that as a waiter he worked;
= 90 - t hours
The amount earned is therefore;
= 7t + (8 * (90 - t))
= 7t + 720 - 8t
= -1t + 720