Answer:
Equivalent systems of equations review
Step-by-step explanation:
We're given two systems of equations and asked if they're equivalent.
x + 4y = 8 (1)
4x + y = 2 (2)
Interestingly, if we sum the equations in System A, we get:
Replacing the first equation in System A with this new equation, we get a system that's equivalent to System A:
This is System B, which means that System A is equivalent to System B.
Given:
Jason buys three shirts with a listed price of $20 each.
He uses a coupon that provides "Buy Two, Get One Free".
To find:
The total final price Jason pays.
Solution:
Total number of shirts he buys = 3
Since he uses a coupon that provides "Buy Two, Get One Free", therefore he need to pay for 2 shirts and 1 he will get free.
Cost of 1 shirt = $20
Cost of 2 shirts = 2 × $20
= $40
Therefore, total final price Jason pays is $40.
We have been given that function 
is a transformation of the quadratic parent function 
. We are asked to find the y-intercept of function g.
We know that the function is an upward opening parabola with vertex at point (0,0).
We know that vertex form of a parabola is in form 
, where point (h,k) represents vertex of parabola.
We can rewrite g(x) as:
The vertex of the function g(x) is at point (0,2).
We know that the vertex of a function is the point, when x is equal to 0. Therefore, the y-intercept of the g is at (0,2).
Answer:
Yes
Step-by-step explanation:
1. Yes , the data franchise owner is collecting, will be helpful in order to counter the criticism from the critic. As he has a record for every delivery they are making on daily basis.
2. The scenario is that for every fifth customer , the owner cross the four lines he makes. Thus a pack of five and easy to remember. As the data on regular week days is less, As can do the same for the third customer. Crossing the 2 lines for 3rd customer.
3. With this provision of crossing the third customer, the owner can have a better check on the late delivery. As it will bring in his notice earlier as compared to fifth crossing.
4. With the data as provided in the table, we can come to the conclusion that on weekends , i.e. both on time delivery and late deliveries are high in numbers. It must be because of high demand on that days. So owner must make some provision like hiring some more delivery boys for weekend in order to reduce the late deliveries.
