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1 answer:
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Answer:
see the explanation
Step-by-step explanation:
Let
x ----> the smaller number
y ----> the larger number
we know that
A larger number is 2 more than 4 times a smaller number
<u><em>Identify the key words</em></u>
is (=)---> equal
more (+) ---> addition
times (*) ---> multiplication
That means
The larger number y is equal to multiply the smaller number x by 4 and then adds 2
so
----> equation A
The larger number is also 8 more than 2 times the smaller number
<u><em>Identify the key words</em></u>
is (=)---> equal
more (+) ---> addition
times (*) ---> multiplication
That means
The larger number y is equal to multiply the smaller number x by 2 and then adds 8
so
----> equation B
Solve the system of equations by substitution
equate equation A and equation B
Find the value of y
substitute the value of x in equation A or equation B
therefore
The smaller number is 3 and the larger number is 14
Answer:
B and E
Step-by-step explanation:
Given the rational expression
← factorise the denominator
2x² - 32 ← take out a common factor of 2 from each term
= 2(x² - 16) ← (x² - 16) is a difference of squares
= 2(x - 4)(x + 4)
The expression can now be written as
The denominator of the expression cannot be zero as this would make the expression undefined. Equating the denominator to zero and solving gives the values that x cannot be.
2(x - 4)(x + 4) = 0
Equate each factor to zero and solve for x
x - 4 = 0 ⇒ x = 4
x + 4 = 0 ⇒ x = - 4
These are the values of x that make the expression undefined.
x = 4 → B
x = - 4 → E