Answer:
a(n) = -3 - 2(n-1)
Step-by-step explanation:
The most general formula for the nth term of an arithmetic sequence (such as this sequence is) is
a(n) = a(1) + c(n-1), where c is the common difference.
Here a(1) = -3 and c = -2.
Thus,
a(n) = -3 - 2(n-1).
The total cost without the discount is given by:
$
Then, to find the discounted amount, we make the following rule of three:
10 $ ------------------> 100%
x ----------------------> 20%
From here, we clear the value of x.
We have then:
Then, the cost of the Strawberries with the discount is:
$
Answer:
Kate pays for the strawberries about $ 8.
Step-by-step explanation: To solve this absolute value inequality,
our goal is to get the absolute value by itself on one side of the inequality.
So start by adding 2 to both sides and we have 4|x + 5| ≤ 12.
Now divide both sides by 3 and we have |x + 5| ≤ 3.
Now the the absolute value is isolated, we can split this up.
The first inequality will look exactly like the one
we have right now except for the absolute value.
For the second one, we flip the sign and change the 3 to a negative.
So we have x + 5 ≤ 3 or x + 5 ≥ -3.
Solving each inequality from here, we have x ≤ -2 or x ≥ -8.
Answer:
they would both be 61°
Step-by-step explanation:
when the angles make out a straight line it equals to 180 and 180 subtracted to 119 comes out to 61 and both b and c are vertical angles which would make them congruent
The <u>correct answer</u> is:
B) The variables are height and time. For the first part of the graph, the height is increasing slowly, which means the hiker is walking up a gentle slope. Flat parts of the graph show where the elevation does not change, which means the trail is flat here. The steep part at the end of the graph shows that the hiker is descending a steep incline.
Explanation:
The variables are marked on the graph. Time is marked along the x-axis, which means it is the independent variable. Height is marked along the y-axis, which means it is the dependent variable.
The first part of the graph rises slowly. This means the elevation does not change much over the time; this would be consistent with a gentle slope being climbed.
The flat areas are where the elevation does not change. This would be consistent with the hiker resting.
The steep decrease at the end shows that the elevation goes down quickly. This is consistent with the hiker climbing down a steep slope.
