A. The quantity of 10-boards that Peter purchases is equal to n divided by 10. Consequently, each of the 10-boxes will receive two boxes of nails. After purchasing n boards, the formula for the number of boxes of nails Peter will have will be,
N = (2)(n/10)
When simplified,
N = n/5
b. If the total number of boards is 90, then,
N2 = (90/10)(2)(100 nails/box)
N2 = 1800
Final Answer: 1800
In this problem, the point-slope form of a line is defined as:
Where:
represents a point on the line,
and m stands for the slope.
Given the details:
Substitute the values:
Thus, the equation of the line is:
Answer:
The expression in question is:
f(x) = x³ – 2x² – x + 2
To determine the roots, follow these steps:
1. Set the equation to zero:
0 = x³ – 2x² – x + 2
2. Factor the equation to get:
(x-2)(x-1)(x+1) = 0
3. The roots can be identified as follows:
x1 = -1
x2 = 1
x3 = 2
Response:
C. Each person receives 1/4 lb of chicken
Step-by-step analysis:
Determine the rate of chicken per person.
A chef prepares 9 lbs of chicken for 36 individuals and 17 lbs for 68 individuals.
A. 9/17 lb per individual
B. 4 lb per individual
C. 1/4 lb per individual
D. 36 individuals
Calculation:
9 lbs for 36 individuals
Chicken per individual = Total chicken / Total number of individuals
= 9 lbs / 36 individuals
Chicken per individual = 1/4 lb of chicken
17 lbs for 68 individuals
Chicken per individual = Total chicken / Total number of individuals
= 17 lbs / 68 individuals
= 1/4 lb each
Consequently, the rate of chicken per individual = 1/4 lb of chicken.
We are given the points
<span>E (0, 27)
</span><span>F (5,−8)
and we need to calculate the rate of change and the initial value:
To determine the rate of change, we will apply the slope formula:
m = (-8 - 27) / (5 - 0) = -7
Thus, the rate of change is -7
The initial value refers to the y-coordinate when x equals 0, which corresponds to point E. Therefore, the initial value is 27.</span>
