Answer:
1.
Variable: x
Inequality: x ≤ 12
Value that matches: 12
2.
Variable: y
Inequality: y < 66
Value that matches: 60
Step-by-step explanation:
Solving (1):
Let x be the variable
Reading through the question, we have the inequality to be represented by "at most".
At most is used for less than or equal to.
Hence, the expression can be represented by:
x ≤ 12
The range of this inequality is limited to all natural number that do not exceed 12.
Examples are 8, 2, 11, 12
Solving (2):
Let the variable be y
Reading through the question, we have the inequality to be represented by "below".
Below means less than
Hence, the expression can be represented by:
y < 66
The range of this inequality is limited to all number less than 66.
Examples are 65, 1 , 60......
Answer:
3y + 2x = 5
Step-by-step explanation:
3x-2y = -2
2y = 3x + 2
y = (3/2)x + 1
Slope is 3/2
Slope of the Perpendicular line is -2/3
y = (-2/3)x + c
x = -2 , y = 3
3 = (-2/3)(-2) + c
3 = 4/3 + c
c = 3 - 4/3 = 5/3
y = (-2/3)x + 5/3
3y = -2x + 5
3y + 2x = 5
Answer:
61
Step-by-step explanation:
Use PEMDAS (Parenthesis first, Exponents second, Division/Multiplication third, Addition/Subtraction last)
(9+2) x 6 - 5
11 x 6 - 5
66 - 5
61
Since both terms are perfect squares, factor using the difference of squares formula, a^
2 − b
^2 = (
a + b) (
a
−
b
) where a = t
^2 and b = 4
.
Answer: (
t^
2 + 4
) ( t + 2
) ( t − 2
)
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10. is f 11. is a I dont know for 12 though
