Answer:
The solution of given equation is x = -4
Step-by-step explanation:
We are given the following in the question:
Let x be the variable such that
Relation:
The quotient of a number and 4 is negative 1
We can write the equation as:
Solution:
Thus, the solution of given equation is x = -4
Initial length = 72 cm
Stretched length = 90 cm
Find the increased in length:
increase = 90 - 72 = 18
Find the percentage increase:
Percentage increase = change/original x 100
Percentage increase = 18/72 x 100 = 25%
Answer: The elastic band's length is increased by 25%
Answer:
Function 1 has a greater rate of change.
Step-by-step explanation:
Function 1 has a rate of change of 3 because 3x is the slope of the line.
Function 2 has a rate of change of 1.5, because when you use rise/run, you get a slope of 3/2.
Function 3 has a rate of change of 2. You use the formula (y2 - y1) / (x2 - x1) to find the slope. I used (0,0) and (1,2). When you plug in 2 for y2, 1 for x2, and 0 for y1 and 0 for x1, you get (2-0) / (1-0) which is 2/1. That equals a slope of 2.
Answer:
- x² + 3x - 9
Step-by-step explanation:
standard form of a polynomial of degree 2 is
ax² + bx + c ( a ≠ 0 )
Given
- 9 + 3x - x²
= - x² + 3x - 9 ← in standard form
Answer:
x = 52
Step-by-step explanation:
Since the inscribed angle measures 64 degrees, the minor arc is 64*2 = 128 degrees. Therefore the major arc is 180-128 = 232 degrees. Angle X is the difference of major and minor arc divided by 2, so X = (232-128)/2 = 52 degrees.
