Step-by-step explanation:
FORMATION OF TABLE FOR THE FUNCTION
As t represents the temperature in degrees Fahrenheit and c represents the number of cricket chirps per minute.
Considering the function
when
then
when
then
when
then
when
then
when
then
when
then
when
then
So
Lets form the data table for this function based on the determined values
PART 1)
Considering the function
As we know that
when
then
- Meaning the number of chirps per minute would increase to , when the temperature t in degrees Fahrenheit increase to 60.
The appropriate logic is that the speed at which cricket chirps is based on the temperature. The table table also indicates that as the temperature t increases, the number of cricket chirps also increases.
PART 2)
- A rate of change is a rate that determines how one quantity changes in relation to another quantity.
Considering the two points
It logically means for every increase of units in (temperature in degrees Fahrenheit), the value of (number of chirps) is increasing to units.
Thus, the rate of change will be .
Part 3)
Considering the function
The data table for this function
Putting in the function brings the value of as .
i.e.
Yes, it does make sense.
Its logical meaning is that at the start, when the value of was temperature in degrees Fahrenheit, then the value of (number of chirps per minute) was .
Answer:
N = 18
Step-by-step explanation:
The triangles are similar, thus the ratios of corresponding sides are equal, that is
= ( cross- multiply )
5N = 90 ( divide both sides by 5 )
N = 18
Answer:
Step-by-step explanation:
step a system of two equations c = child ticket a = adult ticket
eq 1) 2c + 1a = 8.2 multiply by 2
eq 2) 3c + 2a = 14.1
I will multiply eq 1 times TWO and subtract eq 2 from eq 1a)
eq 1a) 4c + 2a = 16.4
eq 2) 3c + 2a = 14.1
subtract (4c - 3c) + (2a -2a) = 16.4 - 14.1
c + 0 = 2.3 euros for one child ticket
Now find the adult ticket price, plug 2.3 for c into eq 1)
eq 1) 2c + 1a = 8.2
eq 1) 2(2.3) + 1a = 8.2 solve for a
4.6 + a = 8.2 substract 4.6 from both sides
a = 8.2 - 4.6
= 3.6 euros for one adult ticket
double check using eq 2) we know c and a values
eq 2) 3c + 2a = 14.1
eq 2) 3(2.3) + 2(3.6) = 14.1
6.9 + 7.2 = 14.1
14.1 = 14.1
Answer:
Simplifying
4x + 9 = 12x + -3
Reorder the terms:
9 + 4x = 12x + -3
Reorder the terms:
9 + 4x = -3 + 12x
Solving
9 + 4x = -3 + 12x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-12x' to each side of the equation.
9 + 4x + -12x = -3 + 12x + -12x
Combine like terms: 4x + -12x = -8x
9 + -8x = -3 + 12x + -12x
Combine like terms: 12x + -12x = 0
9 + -8x = -3 + 0
9 + -8x = -3
Add '-9' to each side of the equation.
9 + -9 + -8x = -3 + -9
Combine like terms: 9 + -9 = 0
0 + -8x = -3 + -9
-8x = -3 + -9
Combine like terms: -3 + -9 = -12
-8x = -12
Divide each side by '-8'.
x = 1.5
Simplifying
x = 1.5
Step-by-step explanation: