The system of inequalities represents the given constraints will be x + y < 20 and 15x + 25y > 375.
<h3>What is inequality?</h3>
Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.
A nursing student works at a doctor's office for $15 per hour and tutors other students for $25 per hour.
Let x be the number of hours for the doctor's office and y be the number of hours for the tutor.
The student cannot work more than 20 hours each week.
x + y < 20 ...1
15x + 25y > 375 ...2
The system of inequalities represents the given constraints will be x + y < 20 and 15x + 25y > 375.
More about the inequality link is given below.
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The values of x are 2 and -1.
Solving the equation created by substitution listed in the question:
-2x+14=x²-3x+12
Add 2x to both sides:
-2x+14+2x=x²-3x+12+2x
14=x²-1x+12
Subtract 14 from both sides:
14-14=x²-1x+12-14
0=x²-1x-2
Factoring this, we want factors of -2 that sum to -1; -2(1) = -2 and -2+1=-1:
0=(x-2)(x+1)
Using the zero product property, we know that either x-2=0 or x+1=0:
x-2=0
x-2+2=0+2
x=2
x+1=0
x+1-1=0-1
x=-1
Answer:
4 pages
Step-by-step explanation:
You divide 36 by 9
Answer:
The picture that represent her drawing is uploaded below. The height is 8 ft and the base is 6 ft.
Step-by-step explanation:
Renee garden is triangular in shape . The area of the triangular garden is given as 24 ft² . The area of a triangle can be represented below.
Area of a triangle = 1/2bh
where
b = base
h = height
The drawing that represent Renee drawing is given below. The height is 8 ft and the base is 6 ft .
Using the formula
Area of a triangle = 1/2bh
Area of a triangle = 1/2 × 6 × 8
Area of a triangle = 48/2
Area of a triangle = 24 ft²
