Answer:
Please see attached image and all steps below for both parts
Step-by-step explanation:
Task 1
The following system of equations includes a linear equation and a quadratic one:
it can be solved by using substitution in the second equation of the variable "y" by the linear expression of the first equation:
and this product of two factors will e zero when either factor is zero, that is: when x = 0, or when x = 9 [to make zero the binomial(x - 9)]
There are two solutions: x = 0 and x = 9.
When we graph both expressions in the system, we see that the line intercepts the parabola at the points (0, 2) and (9, 11). See attached image.
Task 2
Part 1:
Let's pick 30 as a number larger than 25. 30 can be written as 40 - 10
So we can use:
to calculate its square.
Part 2:
let's choose a=9 and b=10 so we use:
Answer:
B. Food market
Step-by-step explanation:
You typically buy all of your groceries at Grocery Mart. This week, your favorite cereal is on sale there, 4 boxes for $10. At Food Market, where you don’t typically shop, the same cereal is on sale for $2.25 a box. Based on price, which is the better value option?
A.Grocery Mart
B. Food Market
Grocery market:
4 boxes for $10
Unit price = cost / quantity
= $10 / 4 boxes
= $2.50 per box
Food market:
Price per box = $2.25
The better value option based on price is food market because it cost less to buy a box of cereal than grocery mart
Answer:
264
Step-by-step explanation:
Using the mid-point concept, it is found that the coordinates of B are (-2, -1).
- The mid-point of two points is the <u>mean of the coordinates of each point</u>.
In this problem:
- The points are: A(2, -5) and B(x,y).
- The mid-point is (0, -3).
Applying the concept for both the x and y-coordinates, we have that:
The coordinates of B are (-2, -1).
To learn more about the mid-point concept, you can take a look at brainly.com/question/10956693
Answer: for example (-2,-2), (-3,-6), and (-8,-10)
Step-by-step explanation: every point in the third quadrant is both negative.
