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3 years ago

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

Mathematics

2 answers:

Keith_Richards [23]3 years ago

8 0

3z^2 + 4z + 2
Believe this is correct

Olin [163]3 years ago

7 0

Answer:

3z^2 + 4z+1

Step-by-step explanation:

(3z + 1)(z + 1)

we multiply it to get the polynomial

Apply FOIL method to multiply

Multiply 3z with z+1 first

3z *z = 3z^2

3z * 1 = 3z

Now multiply 1 with z+1

1*z= 1z

1*1= 1

Now we write all the terms together

3z^2 + 3z +1z +1

Combine like terms

3z^2 + 4z+1

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The depth of a scuba diver can be modeled by the equation d 0.5t (3.5t- 28.25), where d is the depth in meters of the diver and

user100 [1]

We know that

using a graph tool
see the attached figure

<span>The diver reaches the surface when d = 0
</span>so
<span>0.5t (3.5t- 28.25)=0---------> the solution is
0.5t=0--------> t=0
and
</span><span>(3.5t- 28.25)=0----------> 3.5t=28.25--------> t=28.25/3.5--------> t=8.07 minutes
</span><span>

the time it takes for the diver to reach the surface is when the depth is zero
the time is 8 minutes

the answer is
8 minutes</span>

8 0

2 years ago

The data given to the right includes data from candies, and of them are red. The company that makes the candy claims that % of

Dafna1 [17]

Using the z-distribution, the 95% confidence interval for the percentage of red candies is of (7.84%, 33.18%). Since 33% is part of the interval, there is not enough evidence to conclude that the claim is wrong.

<h3>What is a confidence interval of proportions?</h3>

A confidence interval of proportions is given by:

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which:

$\pi$ is the sample proportion.

z is the critical value.

n is the sample size.

In this problem, we have a 95% confidence level, hence $\alpha = 0.95$ , z is the value of Z that has a p-value of $\frac{1+0.95}{2} = 0.975$ , so the critical value is z = 1.96.

Researching this problem on the internet, 8 out of 39 candies are red, hence the sample size and the estimate are given by:

$n = 39, \pi = \frac{8}{39} = 0.2051$

Hence the bounds of the interval are:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2051 - 1.96\sqrt{\frac{0.2051(0.7949)}{39}} = 0.0784$

$\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2051 + 1.96\sqrt{\frac{0.2051(0.7949)}{39}} = 0.3318$

As a percentage, the 95% confidence interval for the percentage of red candies is of (7.84%, 33.18%). Since 33% is part of the interval, there is not enough evidence to conclude that the claim is wrong.

More can be learned about the z-distribution at brainly.com/question/25890103

#SPJ1

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2 years ago

What terms apply to angle Dea and angle aeb

harkovskaia [24]

Answer:

What is angle "Dea"

Step-by-step explanation:

And what is "aeb"

8 0

3 years ago

Winston has just gone grocery shopping. The mean cost for each item in his bag was $2.71. He bought a total of 9 items, and the

sukhopar [10]

The cost of the 9th item is $3.94

Since the mean cost for the 9 items in his bag was $2.71. Then, the total cost will be: = 9 × $2.71 = $24.39

In order to get the price of the 9th item, we have to calculate the price of all the 8 items given which will be:

$2.01 + $2.20 + $2.68 + $3.59 + $3.12 + $1.64, + $1.75 + $3.46 = $20.45

Therefore, the cost of the 9th item will be:

= $24.39 - $20.45

= $3.94

Read related link on:

brainly.com/question/24562826

3 0

2 years ago

What's the answer and show your work by using the funnel method

Paraphin [41]

Answer: i got 44 for the answer

5 0

2 years ago