Answer:
18x+12
Step-by-step explanation:
5x+14+13x-2
combine Like terms:
5x+13x
14-2
18x+12
9514 1404 393
Answer:
y = -(x+1)^2 +3
Step-by-step explanation:
Translating f(x) left by 1 unit replaces x with x+1.
Translating f(x) up by 3 units replaces f(x) with f(x)+3.
Reflecting f(x) over the x-axis replaces f(x) with -f(x).
__
When y = x^2 is reflected over the x-axis, it becomes ...
y = -x^2
When y = -x^2 is translated 1 unit left, it becomes ...
y = -(x +1)^2
When y = -(x+1)^2 is translated 3 units up, it becomes ...
y = -(x +1)^2 +3
Answer:
The equations represent the situation is 
and 
.
Step-by-step explanation:
Consider the provided information.
First convert the statement into mathematical representation.
Consider the smaller number is <em>x</em> and the larger number is <em>y</em>.
<em>y</em>, is equal to twice the sum of a smaller number and 3.
This information can be written as: 
Which can be further solve as:
The larger number is also equal to 5 more than 3 times the smaller number.
This information can be written as:
Thus, the equations represent the situation is and .
Which can be further solve as:
Now, substitute the value of <em>x</em> in .
It has to have an average of 10 feet per minute for 5 minutes, which means in five minutes the total of feet would have to be 50.
So you would add all these numbers up and you would get 38.
50 - 38 = 12 so the answer is 12ft
Answer:
See below
Step-by-step explanation:
Think: They want us to make a box-o-gram (histogram and box-whisker-plot combo).
Identify: They gave us the information we need and we know that health care varies in each state, so that affects the life longevity and also different imcomes affect the care people resceive. We will make the box-o-gram after ordering the data appropriately.
Do: After ordering the numbers from least to greatest, we make calculations for the medians and mean. Here are the answers:
Least: 75 (Need to round up for this)
Greatest: 83 (Need to round up)
Q1: 90.2 (Got this by adding the two numbers of the upper half of data and dividing by 2)
Median/mean: 80.2 (Average of the data)
Q3: 85 (Rounded. Got this by adding the two numbers of the middle half of data and dividing by 2)
Answer:
A: 75
B: 80.2
C: 90.2
D: 85
E: 83
Yes, this makes sense since the data on the box-o-gram fall within the data given in the chart at the top of the worksheet.
