Answer:
r = -3
Step-by-step explanation:
Performing the indicated multiplication on both sides of this equation, we get:
5r - 5 = 2r - 8 - 6
Combining the r terms: 3r - 5 = - 8 - 6.
Combining the constants: 3r = 5 - 14, or 3r = -9.
Dividing both sides by 3, to isolate r, we get: r = -3
Answer:
Length = 11
Width = 6
Step-by-step explanation:
We know that the length is x and the width is x - 5 since it is 5 less than the length.
The equation to find the perimeter of a rectangle is 2w + 2l
We will plug in the values and solve
2(x-5) + 2(x) = 34
2x - 10 + 2x = 34
4x - 10 = 34
4x = 44
x = 11
Since the length is simply x, we know that it is 11. We subtract 5 to find the width.
11 - 5 = 6.
The width is 6.
- The first four terms are : 15000, 14850, 14700, 14550
- a = 15000 ; d = -150
- The explicit formula is :
The first term of the sequence, a = 15,000
Each subsequent winner gets $150 less
Hence, the common difference, d = - $150
The first four terms :
First term, a1 = $15000
Second term, a2 = a - d = $15000 - $150 = $14850
Third term, a3 = a2 - d = $14850 - $150 = $14700
Fourth term, a4 = a3 - d = $14700 - $150 = $14550
a, for the sequence is the first term = $15000
d, for the sequence is the common $150 (difference between successive wins).
Explicit formula for the general term :
For n = 1
Hence, the explicit formula for the nth term is :
Learn more : brainly.com/question/12006170
Answer:
Step-by-step explanation:
Our inequality is |125-u| ≤ 30. Let's separate this into two. Assuming that (125-u) is positive, we have 125-u ≤ 30, and if we assume that it's negative, we'd have -(125-u)≤30, or u-125≤30.
Therefore, we now have two inequalities to solve for:
125-u ≤ 30
u-125≤30
For the first one, we can subtract 125 and add u to both sides, resulting in
0 ≤ u-95, or 95≤u. Therefore, that is our first inequality.
The second one can be figured out by adding 125 to both sides, so u ≤ 155.
Remember that we took these two inequalities from an absolute value -- as a result, they BOTH must be true in order for the original inequality to be true. Therefore,
u ≥ 95
and
u ≤ 155
combine to be
95 ≤ u ≤ 155, or the 4th option
The function best models the linear relationship is y=12,000x+40,000.
