Which expression represents the algebraic phrase “the sum of negative three-eighths and four times x minus nine times z”?
1 answer:
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Answer:
and
Step-by-step explanation:
A simple way to solve this problem is to plug the corresponding x and y into the function. We need only one pair since all the functions are quasi-linear (y=kx) and the increase is proportional.
In when x=3, y=15/4≈2.14
In when x=3, y=1.8
In when x=3, y≈2.33
In when x=3, y≈1.90
We can observe that in two cases, and
, y is greater than 2.
Answer:
C and B
Step-by-step explanation:
(6)
×
← cancel 3x - 7y on numerator and denominator
= ×
=
=
→ C
(7)
÷
Factorise the denominators of both fractions
x² - 9 = x² - 3² = (x - 3)(x + 3) ← difference of squares
4x - 12 ← factor out 4 from each term
= 4(x - 3)
Then rewrite as
÷
← cancel 8 and 4 by 4
= ÷
• leave first fraction, change ÷ to × , turn second fraction ' upside down'
= ×
← cancel x - 3 on numerator and denominator
= ×
← cancel 2 and 6 on numerator and denominator
= → B