Answer:
The constant charge for each minute used is $50
Step-by-step explanation:
In order to solve this problem we will need to set two variables up. In this case:
F = constant Fee
R = rate per minute used
So the cost for the month of January is calculated like this:
F+300R=68
and the cost for February is calculated like this:
F+275R=66.5
So no we have a system of equations we can solve simultaneously. This can be solved by using different methods, elimination, substitution, graphically or by using matrices. I will solve this by substitution.
So let's solve the first equation for R:
and let's substitute this first equation into the second equation:
and now we can solve this for F:
We can multiply both sides by 12 so we get:
12F+11(68-F)=798
12F+748-11F=798
F= $50
The domain of the rational function in discuss as in the task content is the set of all real number values.
<h3>What is the domain of a rational expression?</h3>
The domain of a rational function or expression is the set of all real values of x, except for that/those which render the function or expression undefined as the case may be.
However, in this scenario, the denominator of the rational function is constant and hence all X-values render the expression defined.
Ultimately, the domain of the expression is the set of all real number values of x.
Read more on domain of a function;
brainly.com/question/1369616
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Common Pythagorean triples include
(3, 4, 5)
(5, 12, 13)
(7, 24, 25)
(9, 40, 41)
The only Pythagorean triple that is an arithmetic sequence is (3, 4, 5), so any arithmetic sequence that is a Pythagorean triple must be a multiple of that, such as (9, 12, 15) or (15, 20, 25).
The arithmetic sequences of selections B and D are unrelated to the (3, 4, 5) triple, so cannot be Pythagorean triples. For selection A, we know that 9² + 11² = 81 + 121 = 202 > 14², so that is not a right triangle.
The appropriate selection is ...
C. 7, 24, 25
The answer is B cause I love mathematics.
5x+y = -23
by substitution
A)
5(-3) + (-4) = -23
-15 - 4 = -23
-19 = -23
Wrong
----------------
B)
5(-5) -3 = -23
-25 - 3 = -23
-28 = -23
Wrong
-----------------
C)
5(-4) - 3 = -23
-20 - 3 = -23
-23 = -23
Right ✅✅✅✅
