Answer:
- 3
- 7
- 7
Step-by-step explanation:
1. In 2 draws, you can get one of each, so a minimum of 3 draws will guarantee at least 2 of one color.
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2. A minimum of 3 socks must be drawn to ensure one pair. A minimum of 2 must be drawn to ensure an additional pair. For three pairs, 7 socks must be drawn.
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3. The first 5 balls drawn could be white, so an additional 2 must be drawn to ensure 2 red balls. To be sure of 2 red balls, 7 balls must be drawn.
The tuition, school supplies, and boarding/housing for the expenses can student aid cover.
<h3>What is decision-making?</h3>
The process of making choice is by identifying the correct decision, gathering information, and assessing alternative solutions.
The following expenses can student aid cover.
A. Tuition - A student aid cover can be utilized to promote the tuition.
B. Television - There is no use of the student aid cover for selling the TV.
C. School supplies - We can use the face of the topper on the school supplies to promote schooling.
D. Parties and socializing - There is no need for student aid cover for parties and socializing.
E. Boarding or housing - We can use student aid cover to promote the hostel for the student.
More about the decision-making link is given below.
brainly.com/question/3369578
Answer:
see explanation
Step-by-step explanation:
Given
x² - 3x - 40 = 0
Consider the factors of the constant term (- 40) which sum to give the coefficient of the x- term (- 3)
The factors are - 8 and + 5, since
- 8 × 5 = - 40 and - 8 + 5 = - 3, thus
(x - 8)(x + 5) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 8 = 0 ⇒ x = 8
x + 5 = 0 ⇒ x = 5
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Given
4x² - 81 = 0 ← this is a difference of squares and factors in general as
a² - b² = (a + b)(a - b), thus
4x² - 81
=(2x)² - 9²
= (2x + 9)(2x - 9) = 0 ← in factored form
Equate each factor to zero and solve for x
2x + 9 = 0 ⇒ 2x = - 9 ⇒ x = - 
2x - 9 = 0 ⇒ 2x = 9 ⇒ x =
