The expression that is not rational is the first one:
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Which of the given expressions is not rational?</h3>
A rational expression is something of the form:
Such that q(x) can be any polynomial, and p(x) is a polynomial of at least degree 1.
This means that we need to have the variable "x" on the denominator.
Then is easy to recognize the expression that is not rational, is the one that does not have x on the denominator, which is the first one:
If you want to learn more about rational expressions:
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The interest is $175
The formula we'll use for this is the simple interest formula, or: I=P*R*t
Where:
<span><span>P is the principal amount, $5000.00.
</span><span>r is the interest rate, 7% per year, or in decimal form, 7/100=0.07.
</span><span>t is the time involved, 6....month(s) time periods.
</span><span>Since your interest rate is "per year" and you gave your time interval in "month(s)" we need to convert your time interval into"year" as well.
Do this by dividing your time, 6- month(s), by 12, since there's 12 months in 1 year. </span><span>So, t is 0.5....year time periods.
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To find the simple interest, we multiply 5000 × 0.07 × 0.5 to get that: $175
Answer: A
Explanation:
Just use substitution because it's more efficient. Plug -2x-8 into y to make -2x-8=3x+2. Add 8 to both sides to get -2x=3x+10. Subtract 3x to both sides to get -5x=10. Divide -5 to both sides to get x=-2. Now, plug in x=-2 to one of the equations, let's use y=3x+2. The equation would be y=3(-2)+2. Multiply 3 and -2 to get -6. Add -6 to 2 and you'll result with y=-4.
The lowest common multiple of 2 and 7 is 14, so 14 days will pass before he does both chores again.
