Answer:
x ≤ 7/2
Step-by-step explanation:
Expand brackets: 3x - 15 ≤ x - 8
Subtract x from both sides: 2x - 15 ≤ -8
Add 15 to both sides: 2x ≤ 7
Divide both sides by 2: x ≤ 7/2
Answer:
A trinomial of degree 5
Step-by-step explanation:
A monomial has only 1 term
A binomial has 2 terms
A trinomial has 3 terms
4
+ 3x³ - 7x ← has 3 terms and is therefore a trinomial
The degree of a polynomial is determined by the largest exponent of the variable in the expression
4 is the term with the largest exponent in the expression
Hence a polynomial of degree 5
Answer: [0, 396]
Step-by-step explanation:
The domain is the acceptable values of x in the function. In this case, x = t, the number of tiles. If you think about it, the minimum number of tiles is 0 (you can't have a negative number of tiles), and the maximum number of tiles is 44 (you only have 44 tiles). So, the domain for this function is from 0 to 44.
0 to 44 written in interval notation is [0,44].
The range is the acceptable values of y in the function. In this case, y = A, the area given. A(t) = 9t, so you can use the acceptable values of t to get the range. Again, the minimum area is 0 because you can't have negative area. To find the maximum area, plug in the maximum number of tiles: 9.
A(t) = 9t
A = 9(44)
A = 396
With the maximum number of tiles, 44, the area you get is 396 cm². Therefore, the acceptable values of A are from 0 to 396.
0 to 396 written in interval notation is [0, 396].
2 trikes (6 wheels) and 47 bikes (94 wheels)
or
4 trikes (12 wheels) and 44 bikes (88 wheels)
or
6 trikes (18 wheels) and 41 bikes (82 wheels)
or
8 trikes (24 wheels) and 38 bikes (76 wheels)
or
10 trikes (30 wheels) and 35 bikes (70 wheels)
As long as you start our with an even number of trikes, you'll find a way to use up all the tires with no remainders.
