Answer:
Ignacio can make 5 clockwise rotations.
Step-by-step explanation:
Given that the Ignacio's legs are already at a height of 49.3cm and each rotation of the chair knob raises his legs another 4.8cm, we can set up an inequality to determine the number of rotations Ignacio could make without his legs touching the desk, which is at a height of 74.5cm:
4.8r + 49.3 < 74.5 where 'r' is equal to the number of rotations
The sum of the Ignacio's original leg height plus the amount of height increased from the rotations of the know must be less than 74.5 in order for his legs not to touch. Now, solve for 'r':
Subtract 49.3 from both sides: 4.8r + 49.3 - 49.3 < 74.5 - 49.3 or 4.8r < 25.2
Divide 4.8 from both sides: 4.8r/4.8 < 25.2/4.8 or r < 5.25
Since the number of rotations must be less than 5.25, he can make 5 complete rotations.
Answer:
The correct option is A
Step-by-step explanation:
Since (1, 3) are the solutions to the function g(x), then
g(x) = (x – 1)(x – 3) = x² –3x – x + 3 = x² – 4x + 3
We know that f(x) is on the same plane and f(1) = 1.
Let's take g(1) = (1 – 1)(1 – 3) = 0
Therefore, when x = 1; f = 1 and g = 0. Hence
g(1) = f(1) – 1
In order words, g(x) could be f(x) – 1.
The correct option is A
Answer:
Value of expression 1 = 3
Value of expression 2 = 42
Value of expression 3 = 15
Value of expression 4 = 2
Step-by-step explanation:
Expression 1 : the sum of m and 3 divided by the difference of m minus 3
Expression 1
Substitute m = 6
So, value of expression 1=
Expression 2 : the sum of 3 times m and 4 times m
Expression 2: 3m+4m
Substitute m = 6
So, value of expression 2=3m+4m=3(6)+4(6)=42
Expression 3 : the difference of the product of 3 and m minus the quotient of m divided by 2
Expression 3:
Substitute m = 6
So, value of expression 2= 
Expression 4 :the quotient of 6 divided by the difference of m minus 3
Expression 4:
Substitute m = 6
So, value of expression 4=
