The factored form of the quadratic equation x² - 2x - 3 = 0 is (x - 3)(x + 1)
<h3>How to factor quadratic equation?</h3>
The quadratic equation can be factored as follows;
x² - 2x - 3 = 0
Therefore, let's find the numbers we can multiply to get -3 and add to get -2.
x² + x - 3x - 3
x(x + 1) - 3(x + 1)
Therefore,
(x - 3)(x + 1)
Therefore, the factored form of x² - 2x - 3 = 0 is (x - 3)(x + 1)
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Area of the three equally sized stripes: A
A=(x+15)(x)(3)
A=3x(x+15)
A=3x^2+45x
One gallon of paint will cover an area of no more than 400 square feet: <=400
She only has half of a gallon of paint left:
1/2(400 square feet)=400/2=200 square feet
Inequality that could be used to find the maximum height, in feet, of each stripe:
A<=200
3x^2+45x<=200
Answer: 3x^2+45x <= 200
Could her stripes be 3' tall?
x=3→A=3(3)^2+45(3)=3(9)+135=27+135→A=162<200 Ok
Yes, her stripes could be 3' tall.
Answer: Yes
Could her stripes be 4' tall?
x=4→A=3(4)^2+45(4)=3(16)+180=48+180→A=228>200 No
No, her stripes couldn't be 4' tall.
Answer: No
Answer:
21 feet and 7 inches
Step-by-step explanation:
I multiplied 6 by 12 twice to find out how many inches she needs for the sides of the ladder which got me 154 then i multiplied 7 by 15 which got me 105 then i added the two products together and got 259 then i divided 259 by 12 to find out how many feet were in 259 inches which got me 21 with a reminder of 7
Therefore, the answer is 21 feet and 7 inches
The merchandise shop sells 80 CDs for every 1 vinyl record. We have to find how many vinyl records they are likely to sell if the merchandise shop sells 760 CDs:
80 CDs -------------------- 1 vinyl record
760 CDs --------------------- x vinyl records
---------------------------------------------------------
80 : 760 = 1 : x
80 x = 760
x = 760 : 80
x = 9.5 or 9 ( we need a whole number )
Answer: They are likely to sell 9 vinyl records.
Answer:
The correct option is A.
Step-by-step explanation:
Let the vertices of the triangle be ABC.
Draw a perpendicular on AC from B. The height of triangle is represented by the altitude from B.
Area of the triangle is
Therefore option A is correct.
