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Usimov [2.4K]
3 years ago
6

Use factoring and the zero-product property to solve the following problems.

Mathematics
2 answers:
NemiM [27]3 years ago
4 0

Answer:

see explanation

Step-by-step explanation:

Divide through by 2

2a² - 5a + 3 = 0

To factor the quadratic

Consider the factors of the product of the coefficient of the a² term and the constant term which sum to give the coefficient of the x- term

product = 2 × 3 = 6 and sum = - 5

The factors are - 2 and - 3

Use the factors to split the a- term

2a² - 2a - 3a + 3 = 0 ( factor the first/second and third/fourth terms )

2a(a - 1) - 3(a - 1) = 0 ← factor out (a - 1)

(a - 1)(2a - 3) = 0

Equate each factor to zero and solve for a

a - 1 = 0 ⇒ a = 1

2a - 3 = 0 ⇒ 2a = 3 ⇒ a = \frac{3}{2}

zhuklara [117]3 years ago
3 0

Answer:

a = 3/2 or 1

Step-by-step explanation:

4a²-10a+6=0

(Divide by 2)

2a²-5a+3=0

(Now factorise)

(2a-3)(a-1)

a = 3/2 or 1

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A road bike has a wheel diameter of 622 mm. What is the circumference of the wheel? Use 3.14 for pi
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Answer:

Circumference ≅ 195 mm

Step-by-step explanation:

The circumference of a circle is equal to: 2*\pi *radius

Since Diameter = 2*radius we can replace that in the circumference equation giving us:

Circumference = \pi *Diameter

We know Diameter = 622 mm and pi = 3.14 so:

Circumference = \pi *Diameter = 3.14 * 622 mm = 195.308 mm

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3 years ago
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Events A and B satisfy the conditions shown P (A)=0.3 P (B)=0.1 P (A and B)=0.03 What statement about the two events must be tru
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Answer:

D

Step-by-step explanation:

P(A)=0.3

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They are independent.

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A company has $6582 to give out in bonuses. An amount is to be given out equally to each of the 32 employees.
expeople1 [14]

A) His estimate is incorrect, since he has increased a figure to the amount that each employee would receive.

B) Rounded to the nearest dollar, each employee would receive $ 209.

Since a company has $ 6582 to give out in bonuses, and an amount is to be given out equally to each of the 32 employees, and A) a manager, Jake reasoned that since 32 goes into 64 twice, each employee will get about $ 2000 , to determine if his estimate is correct, and B) determine how much will each employee receive, rounded to the nearest whole dollar, the following calculations must be performed:

A)

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Therefore, his estimate is incorrect, since he has increased a figure to the amount that each employee would receive.

B)

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Therefore, rounded to the nearest dollar, each employee would receive $ 209.

Learn more about maths in brainly.com/question/8865479

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2 years ago
For each bag belong, describe the likelihood of picking a black marble
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In the first bag, picking a black marble would be impossible.

The second bag would be likely.

The third bag would be unlikely.

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3 years ago
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