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andrew-mc [135]
3 years ago
7

Match the vocabulary word to its correct definition. 1. complex conjugate two complex numbers of the form a + bi and a - bi, who

se product is always a real number 2. imaginary root a complex number of the form a + bi, where b ≠ 0, that satisfies the polynomial equation 3. repeated root a solution to a polynomial equation that appears more than once
Mathematics
2 answers:
oee [108]3 years ago
4 0

Hey odyssey bros that'll be

1

3

2

Gre4nikov [31]3 years ago
3 0

Answer:


Step-by-step explanation:

1. complex conjugate two complex numbers of the form a + bi and a - bi, whose product is always a real number

2. imaginary root a complex number of the form a + bi, where b ≠ 0, that satisfies the polynomial equation

3. repeated root a solution to a polynomial equation that appears more than once


You did an excellent job matching the definitions to the vocabulary word

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Pleaseeee pleaseee help mee with precal...One root of 2x2 + 8x + c = 0 is r1 = 1 + √5. Find r2.
igomit [66]
If a root is a+√b then another is a-√b    because of quadatic formula



r2=1-√5
6 0
3 years ago
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Kelly simplified this power of a product.
Natalija [7]

Answer:

the answer is D

Step-by-step explanation:

i got it right

5 0
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An automotive manufacturer wants to know the proportion of new car buyers who prefer foreign cars over domestic. Step 2 of 2 : S
ziro4ka [17]

Answer:

The 85% onfidence interval for the population proportion of new car buyers who prefer foreign cars over domestic cars is (0.151, 0.205).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

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

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

For this problem, we have that:

Sample of 421 new car buyers, 75 preferred foreign cars. So n = 421, \pi = \frac{75}{421} = 0.178

85% confidence level

So \alpha = 0.15, z is the value of Z that has a pvalue of 1 - \frac{0.15}{2} = 0.925, so Z = 1.44.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.178 - 1.44\sqrt{\frac{0.178*0.822}{421}} = 0.151

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.178 + 1.44\sqrt{\frac{0.178*0.822}{421}} = 0.205

The 85% onfidence interval for the population proportion of new car buyers who prefer foreign cars over domestic cars is (0.151, 0.205).

8 0
2 years ago
Suppose that w and t vary inversely and that t = 5/12
Svetlanka [38]

Answer:

Option B. t=5/3w ;1/3

Step-by-step explanation:

We are told that w varies Inversely with t thus generally speaking w∝\frac{1}{t}  since they are inverted, <u>otherwise</u> if they were proportionally varied then w∝t. This means that there is a constant value ( a ) for which w is inversely proportional to t and can be mathematically expressed as:

w=\frac{a}{t}        Eqn. (1)

Now since we are given the values of w=4 and t=\frac{5}{12}, we can plug them in Eqn. (1) and find our constant of proportionality a as follow:

w=\frac{a}{t}\\ \\a=wt\\\\a=(4)(\frac{5}{12} )\\\\a=\frac{5}{3}

Now that we have our constant we can find the new t value for the second value of w=5 as follow:

w=\frac{a}{t} \\\\t=\frac{a}{w}\\ \\t=\frac{\frac{5}{3} }{5}\\\\t=\frac{5}{15}\\ \\t=\frac{1}{3}\\

Therefore based on the options give, we can see that Option B. is correct since

t=\frac{5}{3w} and for w=5, then t=\frac{1}{3}

8 0
3 years ago
What (3×5^2)/(5)^2 equal? Plz answer fast and with work and I will give brainliest
balu736 [363]

Answer:

The answer is 3.

Step-by-step explanation:

Given that the Indices Law is,

{a}^{m}  \div  {a}^{n}  =  {a}^{m - n}

{a}^{0}  = 1

So the expression is :

3 \times  {5}^{2}  \div  {5}^{2}

= 3 \times  {5}^{2 - 2}

= 3 \times  {5}^{0}

= 3 \times 1

= 3

4 0
3 years ago
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