Answer:
(f - g)(x) = x² - 3x - 70
General Formulas and Concepts:
<u>Pre-Algebra</u>
<u>Algebra I</u>
Step-by-step explanation:
<u>Step 1: Define</u>
f(x) = x² - 2x - 63
g(x) = x + 7
(f - g)(x) is f(x) - g(x)
<u>Step 2: Find (f - g)(x)</u>
- Substitute: (f - g)(x) = x² - 2x - 63 - (x + 7)
- Distribute -1: (f - g)(x) = x² - 2x - 63 - x - 7
- Combine like terms (x): (f - g)(x) = x² - 3x - 63 - 7
- Combine like terms (Z): (f - g)(x) = x² - 3x - 70
Answer:
5.190 < 5.195
Step-by-step explanation:
5.195 is bigger than 5.190, so 5.195>5.190
Answer:
The correct statement is:
On average, the height of a garden gnome varies 3.2 inches from the mean of 6 inches.
Step-by-step explanation:
We are given a data of 11 gardens as:
2 9 1 23 3 7 10 2 10 9 7
Now on removing the outlier i.e. 23 (since it is the very large value as compared to other data points) the entries are as follows:
x |x-x'|
2 4
9 3
1 5
3 3
7 1
10 4
2 4
10 4
9 3
7 1
Now mean of the data is denoted by x' and is calculated as:
Hence, Mean(x')=6
Now,
∑ |x-x'|=32
Now mean of the absolute deviation is:
This means that , On average, the height of a garden gnome varies 3.2 inches from the mean of 6 inches.
Answer:
12 ft²
Step-by-step explanation:
the rectangular hole area:
l • w = A
3 • 2 = 6 ft
the triangular hole area:
(b • h) / 2 = A
(4 • 3) / 2 = 6 ft
6 ft + 6 ft = 12 ft²
Answer: B. The rate is 2, the initial value is 4, and the specific value is 6.
Step-by-step explanation:
for a linear function y = a*x + b
Rate = coefficient that is multiplicating the variable. ( a in this case)
Initial value = value taken of y, when we have x = 0 (b in this case)
Specific value = value forced on y.
In this case, we have:
y = 6 = 2*x + 4
Then:
The coefficient multiplicating x is 2, so the rate is 2.
The constant term is 4, so the initial value is 4.
The value equal to y is 6, so the specific value is 6.
The correct option is B.
