Response:
B. 255 m
Detailed breakdown:
utilize similar triangles
L / 60 = 85 / 20
L = (85 * 60) / 20
L = 255 m
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
Complete question:
Benjamin treats himself to breakfast at his go-to restaurant. He orders chocolate milk priced at \$3.25$3.25dollar sign, 3, point, 25. Next, he aims to purchase as many pancake stacks as possible while keeping his total at or below \$30$30dollar sign, 30 prior to tax. Pancakes are sold in stacks of 4 at \$5.50$5.50dollar sign, 5, point, 50. Let SSS denote the number of pancake stacks purchased by Benjamin. 1) What inequality represents this situation?
Answer:
Refer to the explanation below.
Step-by-step explanation:
Information provided:
Chocolate milk costs = $3.25
Price of pancake stack = $5.50 (for 4 pancakes)
Pancake stacks bought = S
Maximum spending ≤ $30
Chocolate milk cost + (Cost per pancake stack × number of stacks) ≤ $30
3.25 + 5.50S ≤ 30
5.50S ≤ 30 - 3.25
5.50S ≤ 26.75
S ≤ 26.75 / 5.50
S ≤ 4.86
Therefore, the maximum number of pancake stacks he can buy without going over budget is 4.
Thus, total pancakes = stacks × pancakes per stack
= 4 × 4
= 16
Answer: OPTION B
Step-by-step explanation:
The red graph depicts the fundamental form of a quadratic function (the most basic version), with its vertex located at the origin.
The function g(x) results from moving the parent function 2 units to the right and 1 unit upwards.
As a consequence, considering this, the transformation takes the following structure:
The horizontal displacement is dictated by the value of h, while the vertical shift is determined by k.
<pThus, the resulting function is:
Try this method:
When a graph shifts right, replace 'x' with 'x' minus the number.
When it shifts down, subtract the number from 'y'.
So the final equation becomes: y = 4(x - 5)² - 18.
The answer is A.
