Answer:
w>0.9
Step-by-step explanation:
7.2-3w<4.5
-7.2 -7.2
-3w<-2.7
/-3 /-3
w>0.9
The inequality switches when divided by a negative.
-hope it helps
Answer:
For 124 chirps per minute the temperature is 68 ºF.
For 68 chirps per minute the temperature is 54 ºF.
Step-by-step explanation:
Linear functions are those whose graph is a straight line. A linear function has the following form

b is the constant term or the y intercept. It is the value of the dependent variable when x = 0.
m is the coefficient of the independent variable. It is also known as the slope and gives the rate of change of the dependent variable.
We know that
- At 104 chirps per minute, the temperature is 63 ºF.
- At 176 chirps per minute, the temperature is 81 ºF.
This information can be converted to Cartesian coordinates (x, y). Where x = the number of chirps per minute and y = the temperature in ºF.
To find a linear function that let us find the outside temperature from how fast crickets chirp we must:


Solving for b

Therefore, the linear function is

Now, using this linear function we can know the temperature when we know the chirps per minute:
For 124 chirps per minute the temperature is:

For 68 chirps per minute the temperature is:

Answer:
See explanation
Step-by-step explanation:
Let x be the number of spade shovels, y -the number of flat shovels and z - the number of square showels sold that day.
The store keeps an inventory of 80 shovels, then
x+y+z=80
The store always buy twice as many spade shovels as square, so
x=2z
The total cost of all shovels is
16x+9.60y+12.80z=1,072
a) The system of three equations is

b) In matrix form this is

c) The determinant is

d) Find three determinants:



So,

e) If the store doubled all prices and inventory, then the new matrix is

3) an $8 delivery fee and $1.50 per litre of water
This is because the $8 is a constant baseline, then adding $1.50 times the amount of litres purchased.
Angle C prime D prime and A prime