Solve the quadratic equation HINT: Answers will be a decimals 2x2 - 12x+8 = 3

Mathematics

1 answer:

Oduvanchick [21]3 years ago

6 0

Answer:

x= 5.55 and 0.45

Step-by-step explanation:

Quadratic Equation = (-b±√b²-4(a)(c))÷2(a)

Get equation = to 0 by subtracting the 3 on the right side of the = sign

2x² - 12x + 5

Identify the variables

a=2

b=-12

c=5

Put them into the quadratic equation

(-(-12)± √-12² - 4(2)(5))÷2(2)

Simplify

(12 ±√144 - 40)÷4

(12±√104)÷4

Now split into 2 equations (one with addition one with subtraction) because of the ± then continue simplifying

(12 - √104)÷4 (12 + √104)÷4

(12 - 10.198039)/4 (12 + 10.198039)/4

5.54950975 0.45049025

Round

5.55 0.45

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Answer: The probability of selecting either a lime or bubble gum followed by a papaya is 425/2209

Step-by-step explanation:

Since, there are four types of items in the jar, namely- lime, papaya, mango and bubble gum that have quantities of 12, 17, 5 and 13 respectively. Before finding the probabilities, we first add up the quantities or number of different items in the jar.

12 + 17 + 5 + 13 = 47 in total.

Since lime is 12 in number, the probability of selecting a lime is = 12/47.

Bubble gums are 13 in number, so the probability of selecting a bubble gum = 13/47.

Then the probability of selecting either a lime or a bubble gum is the addition of the probabilities of selecting a lime and selecting a bubble gum:

= 12/47 + 13/47

= 25/47.

Again, the probability of selecting a papaya is =

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= 17/47

If the system is with replacement, then the probability of selecting a lime or bubble gum followed by a papaya is:

= Probability of selecting a lime or bubble gum × Probability of selecting papaya

= 25/47 × 17/47