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blagie [28]
4 years ago
10

Which polynomial is equivalent to (3z + 1)(z + 1)?????????

Mathematics
1 answer:
Elenna [48]4 years ago
3 0

The polynomial 3z² + 4z + 1 is equivalent to (3z + 1)(z + 1) ⇒ answer B

Step-by-step explanation:

Let us explain how to find the product of two binomials

1. Multiply the 1st term in the 1st bracket by the 1st term in the 2nd

   bracket

2. Multiply the 1st term in the 1st bracket by the 2nd term in the 2nd

   bracket

3. Multiply the 2nd term in the 1st bracket by the 1st term in the 2nd

   bracket

4. Multiply the 2nd term in the 1st bracket by the 2nd term in the 2nd

   bracket

5. Add like terms

∵ (3z + 1)(z + 1)

∵ (3z)(z) = 3z²

∵ (3z)(1) = 3z

∵ (1)(z) = z

∵ (1)(1) = 1

∴ (3z + 1)(z + 1) = 3z² + 3z + z + 1

- Add like terms

∴ 3z² + 4z + 1

The polynomial 3z² + 4z + 1 is equivalent to (3z + 1)(z + 1)

Learn more:

You can learn more about polynomials in brainly.com/question/4142886

#LearnwithBrainly

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Dylan is 15, which is 3 years older than twice his sister Savannah’s age. How old is savannah
Brrunno [24]

Answer:

Savannah's age = 6 years

Step-by-step explanation:

Let

Savannah's age = x

Dylan's age = 15

Dylan is 15, which is 3 years older than twice his sister Savannah’s age

Dylan = 2x + 3

Find Savannah's age

2x + 3 = 15

Subtract 3 from both sides

2x + 3 - 3 = 15 - 3

2x = 12

Divide both sides by 2

2x / 2 = 12 / 2

x = 6

Therefore,

Savannah's age = x

= 6 years

Dylan's age = 2x +3

= 2*6 + 3

= 12 + 3

= 15 years

4 0
3 years ago
How many gallons are in 1,980 milliliters? Rounded to the nearest hundredth
Setler [38]

I believe this is the answer? If not I am sorry!

4 0
3 years ago
Find the quotient. 514÷15 A. 720 B. 7834 C. 267 D. 314
Law Incorporation [45]

Answer:314

Step-by-step explanation:

6 0
3 years ago
If the risk-free rate is 7 percent, the expected return on the market is 10 percent, and the expected return on Security J is 13
Lelu [443]

Answer:

0.02 or 2% = Beta

Step-by-step explanation:

Given that,

Risk-free rate = 7 percent

Expected return on the market = 10 percent

Expected return on Security J = 13 percent

Therefore, the beta of Security J is calculated as follows;

Expected return on Security J = Risk-free rate + Beta (Expected return on the market - Risk-free rate)

13 percent = 7 percent + Beta (10 percent - 7 percent)

0.13 - 0.07 = 0.03 Beta

0.06 = 0.03 Beta

0.06 ÷ 0.03 = Beta

0.02 or 2% = Beta

6 0
3 years ago
The number of accidents that occur at a busy intersection is Poisson distributed with a mean of 4.5 per week. Find the probabili
Mariana [72]

Answer:

a) 0.01111

b) 0.4679

c) 0.33747

Step-by-step explanation:

We are given the following in the question:

The number of accidents per week can be treated as a Poisson distribution.

Mean number of accidents per week = 4.5

\lambda= 4.5

Formula:

P(X =k) = \displaystyle\frac{\lambda^k e^{-\lambda}}{k!}\\\\ \lambda \text{ is the mean of the distribution}

a) No accidents occur in one week.

P(x =0)\\\\= \displaystyle\frac{4.5^0 e^{-4.5}}{0!}= 0.01111

b) 5 or more accidents occur in a week.

P( x \geq 5) = 1-\displaystyle \sum P(x

c) One accident occurs today.

The mean number of accidents per day is given by

\lambda = \dfrac{4.5}{7} = 0.64

P(x =1)\\\\= \displaystyle\frac{0.64^1 e^{-0.64}}{1!}= 0.33747

5 0
3 years ago
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