Answer:
Step-by-step explanation:
y=x²-2x-1
and y=-3x+5
x²-2x-1=-3x+5
x²+x-6=0
x²+3x-2x-6=0
x(x+3)-2(x+3)=0
(x+3)(x-2)=0
x=-3,2
when x=-3
y=-3×-3+5=9+5=14
when x=2
y=-3×2+5=-6+5=-1
so solutions are (-3,14) and (2,-1)
To solve this problem, you will first want to convert 5 pounds into ounces. To do this, first determine how many ounces is in 1 pound.
There are 16 ounces in 1 pound, so to convert 5 pounds into ounces, you simply have to multiply 5 × 16. This will give you 80 ounces total.
Allie give 12 ounces away, so you must first subtract 12 ounces from your total (80 ounces). 80 - 12 gives us 68 ounces.
Allie then divides the trail mix up into 4 ounce portions. To figure out how many small bags she can make, you simply divide your new total (68 ounces) by 4.
68 ÷ 4 = 17
Allie made 17 small bags.
That will be in a thursday
A square has two parallel sides and four right angles.
Given:
Jeffery babysits for 4 dollars per hour and works as a math tutor for 7 dollars per hour.
He is only allowed to work 13 hours total per week.
He wants to make at least 65 dollars.
To find:
The system of inequalities to represent this situation.
Solution:
Let x be the number of hours he babysits per week and y be the number of hours h works as a math tutor.
He is only allowed to work 13 hours total per week. It means sum of x and y must be less than or equal to 13.

He wants to make at least 65 dollars. It means total earnings must be greater than or equal to 65.

Number of hours can not be negative.
.
Therefore, the required system of inequalities contains some equations,
and
.