Answer:
Yes
Step-by-step explanation:
If we multiply them out, we get 6x + 2.4 for the first one and 6x + 2.4 for the second one, therefore they are the same.
Answer:
6.875° C
the mean of a set of data is calculated using
mean =
For the first 7 days the mean is 8 and the count = 7
8 = ( cross- multiply )
sum = 8 × 7 = 56
Add on the temperature on the 8 th day to the sum and divide by 8 for mean
sum = 56 - 1 = 55
mean = = 6.875° C
2nd question
Height of marble from the ground
An independent variable is the variable in an experiment that you change to see if it has an effect on the dependent variable. In this case, Jack wanted to see whether the position of the marble on the ramp (which would be the height) has an effect on the kinetic and potential energy of the marble, then the height would be the independent because it is what is being changed.
The dependent would be the kinetic and potential energy and the constant would be the type of marble.
Answer:
The system of equations is :
Equation 1- 
Equation 2- 
Number of vinyl doghouse = 5
Number of treated lumber doghouse =12.5
Step-by-step explanation:
Let x be the number of vinyl doghouses
y be the number of treated lumber doghouses
→If it takes the company 5 hours to build a vinyl doghouses and 2 hours to build a treated lumber doghouse. The company dedicates 50 hours every week towards assembling and painting doghouses.
Equation 1- 
→It takes an additional hour to paint each vinyl doghouse and an additional 2 hours to assemble each treated lumber doghouse. The company dedicates 30 hours every week towards assembling and paining dog houses.
Equation 2- 
→When we solve these equation we get the number of vinyl doghouse and treated lumber doghouse.
Subtract equation 2 from equation 1




Put value of x in equation 2





Therefore, number of vinyl doghouse = 5, number of treated lumber doghouse =12.5
Answer:
Domain= (-inf,inf)/(-∞,∞)
Range= (-inf,25/16]
x-intercepts= (0,0), (5/4,0)
y-intercepts=(0,0)
vertex= maximum (5/8,25/16)
Answer:
see explanation
Step-by-step explanation:
Given
a = ![\left[\begin{array}{ccc}3\\2\\\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D3%5C%5C2%5C%5C%5Cend%7Barray%7D%5Cright%5D)
To obtain -3a multiply each of the elements of a by -3
3a =
= ![\left[\begin{array}{ccc}-9\\-6\\\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-9%5C%5C-6%5C%5C%5Cend%7Barray%7D%5Cright%5D)
To obtain 1.5a multiply each element by 1.5
1.5a =
= ![\left[\begin{array}{ccc}4.5\\3\\\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D4.5%5C%5C3%5C%5C%5Cend%7Barray%7D%5Cright%5D)