Answer:
1. (q² + 8) - (4q² + 1)
Simplify each term.
q²+8−4q²−1
Simplify by adding terms.
−3q²+7
2. (3x + 7x² - 6) - (5x² + x + 9)
Simplify each term.
3x+7x²−6−5x²−x−9
Simplify by adding terms.
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2x²+2x−15
Step-by-step explanation:
i) The given function is
The factored form is
The domain are the values of x for which the function is defined.
ii) To find the vertical asymptotes, equate the denominator to zero.
iii) To find the roots, equate the numerator to zero.
The root is 
iv) To find the y-intercept, put 
into the function.
The y-intercept is 
v) The horizontal asymptote is given by;
The horizontal asymptote is 
vi) The function is not reducible. There are no holes.
vii) The given function is a proper rational function.
Proper rational functions do not have oblique asymptotes.
Answer:
23 matches
Step-by-step explanation:
If the 5th grade team wins 2/5 matches, thats equal to 8/20, and 4th graders win 15/20, so together they win 23 matches out of 40
-5x divided by -5x to cancel the out the x and then 30 divided by -5, hope this helped!
<u>Explanation</u><u> </u><u>:</u>
<h3 />
<u>By doing cross multiplication, we get-----</u>
=>p-6=3(p+7)
=>p-6=3p+21 =>p-3p=21+6
=>-2p=27
=>p=27/-2
=>p=-27/2
<h3><u>Verification:</u></h3>
<u>By,putting the value of p in the equation, we get----</u>
<u>(</u><u>LHS)</u>=(-27/2+7)/(-27/2-6)=1/3<u>(</u><u>RHS)</u>
=>(-27+14/2)/(-27-12/2)=1/3
=>(-13/2)/(-39/2)=1/3
=>-13/2×2/-39=1/3
=>1/3=1/3
<u>Hence,LHS=RHS verified.</u>
