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Vika [28.1K]
2 years ago
14

Type the correct answer in the box. use numerals instead of words. if necessary, use / for the fraction bar. find the missing te

rm. the roots of x2 − ( ) 34 are 5 ± 3i.
Mathematics
1 answer:
Allisa [31]2 years ago
6 0

The missing term in the provided quadratic equation is 10x if the roots of a quadratic equation are 5 ± 3i.

<h3>What is a complex number?</h3>

It is defined as the number which can be written as x+iy where x is the real number or real part of the complex number and y is the imaginary part of the complex number and i is the iota which is nothing but a square root of -1.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

We have the roots of a quadratic equation:

5 ± 3i

To find the quadratic equation:

(x - (5+3i))(x - (5-3i))

\rm =x^2+x\left(-\left(5-3i\right)\right)-\left(5+3i\right)x-\left(5+3i\right)\left(-\left(5-3i\right)\right)

= x² -10x + 34

The missing value is 10x

The quadratic equation is:

= x² -10x + 34

Thus, the missing term in the provided quadratic equation is 10x if the roots of a quadratic equation are 5 ± 3i.

Learn more about the complex number here:

brainly.com/question/10251853

#SPJ1

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6 0
3 years ago
Read 2 more answers
A study conducted by the Center for Population Economics at the University of Chicago studied the birth weights of 623 babies bo
Margaret [11]

Answer:

The estimation for the number of newborns who weighed between 1724 grams and 5172 grams is 595.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 3448, \sigma = 862

Proportion of newborns who weighed between 1724 grams and 5172 grams.

This is the pvalue of Z when X = 5172 subtracted by the pvalue of Z when X = 1724. So

X = 5172

Z = \frac{X - \mu}{\sigma}

By the Central Limit Theorem

Z = \frac{X - \mu}{s}

Z = \frac{5172 - 3448}{862}

Z = 2

Z = 2 has a pvalue of 0.9772

X = 1724

Z = \frac{X - \mu}{s}

Z = \frac{1724 - 3448}{862}

Z = -2

Z = -2 has a pvalue of 0.0228

0.9772 - 0.0228 = 0.9544

Estimate the number of newborns who weighed between 1724 grams and 5172 grams.

0.9544 out of 623 babies. SO

0.9544*623 = 595

The estimation for the number of newborns who weighed between 1724 grams and 5172 grams is 595.

5 0
3 years ago
You have been asked to build a scale model of a restaurant out of bottle caps. The restaurant is 20 feet tall. Your scale is 2.4
Amanda [17]

Answer:

40\ bottle\ caps

Step-by-step explanation:

we know that

The scale is \frac{2.4}{1}\ \frac{cm}{ft}

That means

2.4 cm in the model represent 1 foot in the real

In this problem

The restaurant is 20 feet tall

Find the height of the model

Multiply the actual height of the restaurant by the scale 2.4

20\ ft=20(2.4)=48\ cm

A bottle cap is 1.2 cm tall

To find out the number of bottle caps divide the height of the model by 1.2

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8 0
2 years ago
Solve x∕4 + y∕3 = 1 for x.
VladimirAG [237]

Answer:

D)x = 4∕3y – 4

Step-by-step explanation:

\frac{x}{4}  +  \frac{y}{3}  = 1

3x + 4y = 12

3x = 12 - 4y

x = 4 -  \frac{4}{3} y

x = 4 -  \frac{4}{3} y

7 0
2 years ago
The equations of a system have the same slopes. What can you determine about the solution of the system of equations?
user100 [1]
One of two things:
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