All categories

3 years ago

What are the solutions to the equationx^2+14x=-130please do a step by step

Mathematics

1 answer:

Serjik [45]3 years ago

5 0

Answer:

The answer to your question is: x1 = - 7 + 9i x2 = -7 - 9i

Step-by-step explanation:

x² + 14x = - 130

x² + 14x + (7)² = -130 + (7)²

(x + 7)² = -81

x + 7 = ± √-81

i² = -1, then x + 7 = ±√ 81i²

x + 7 = ± 9i

x1 = -7 + 9i x2 = -7 - 9i

You might be interested in

Describe how you would convince a friend that sin(x + y) does not equal sin x + sin y.

Citrus2011 [14]

Answer:

Step-by-step explanation:

PEMDAS

anything done in the parentheses comes first

so you have to add first then multiply

this is not the distributive property unless the two numbers in parentheses are not like terms

4 0

3 years ago

Can some one help me i have no idea what this is

ahrayia [7]

Answer:

b=-25

Step-by-step explanation:

10= -2/5b

------ -------

-2/5 -2/5b

b=-25

Check:

-2/5(-25)=10

10=10

5 0

2 years ago

Read 2 more answers

BRAINLYEST

iVinArrow [24]

Given:

The data set is

10, 10, 11, 12, 13, 13, 13, 14, 14, 15, 15, 15, 16, 17, 17, 17, 35

To find:

Effect on mean, median, range after removing the outlier, 35.

Solution:

We have, the data set

10, 10, 11, 12, 13, 13, 13, 14, 14, 15, 15, 15, 16, 17, 17, 17, 35

$\text{Mean}=\dfrac{\text{Sum of observations}}{\text{Number of observations}}$

$\text{Mean}=\dfrac{10+10+11+12+13+13+13+14+14+15+15+15+16+17+17+17+35}{17}$

$\text{Mean}=\dfrac{257}{17}$

$\text{Mean}=15.117647$

$\text{Mean}\approx 15.12$

Mean of the data set is 15.12.

$Median=\dfrac{n+1}{2}\text{th term}$ because n=17, which is odd.

$Median=\dfrac{17+1}{2}\text{th term}$

$Median=\dfrac{18}{2}\text{th term}$

$Median=9\text{th term}$

$Median=14$

Median is 14.

$Range=Maximum-Minimum$

$Range=35-10$

$Range=25$

Range is 25.

After removing the outlier, 35, the data set is

10, 10, 11, 12, 13, 13, 13, 14, 14, 15, 15, 15, 16, 17, 17, 17

$\text{Mean}=\dfrac{10+10+11+12+13+13+13+14+14+15+15+15+16+17+17+17}{16}$

$\text{Mean}=\dfrac{222}{16}$

$\text{Mean}=13.875$

Mean of the new data set is 13.875, which is less than 15.12.

$Median=\dfrac{\dfrac{n}{2}\text{th term}+(\dfrac{n}{2}+1)\text{th term}}{2}$ because n=16, which is even.

$Median=\dfrac{\dfrac{16}{2}\text{th term}+(\dfrac{16}{2}+1)\text{th term}}{2}$

$Median=\dfrac{8\text{th term}+9\text{th term}}{2}$

$Median=\dfrac{14+14}{2}$

$Median=\dfrac{28}{2}$

$Median=14$

New median is 14, which is same as original median.

$Range=17-10$

$Range=7$

So, the new range is 7 which is less than 25.

Therefore, the mean of the data set will decrease, the median of the data set will not change, the Range of the data set will decrease.

5 0

2 years ago

Read 2 more answers

Complete the function table below for the function F(x) = x2 + 1.

VMariaS [17]

The answer is true, and let me explain this to you like this:
F(x) = 4x - 6
when x = 1, F(x) = 4 * 1 - 6 = -2
when x = 2, F(x) = 4 * 2 - 6 = 2
when x = 3, F(x) = 4 * 3 - 6 = 6
when x = 4, F(x) = 4 * 4 - 6 = 10
second row is: -2, 2, 6, 10
differences are: 2 - (-2) = 4; 6 - 2 = 4; 10 - 6 = 4
So, the second row is in arithmetic progression.
Hope this is what you were looking for

5 0

3 years ago

Read 2 more answers

EOC Algebra. Plz help

statuscvo [17]

$1.\\ \begin{array}{ccc}p\ (min)&-&1\ (page)\\\\5\ (min)&-&x\ (pages)\\\\\end{array}\\\\cross\ multiply:\\\\p\cdot x=5\cdot1\\\\px=5\ \ \ \ /:p\\\\x=\frac{5}{p}\\\\Answer:D.$

$1\ house\to4h:Sally\\\\1\ house\to6h:John\\\\\frac{1}{4}+\frac{1}{6}=\frac{1\cdot3}{4\cdot3}+\frac{1\cdot2}{6\cdot2}=\frac{3}{12}+\frac{2}{12}=\frac{5}{12}\to\ 5\ houses\to12h:together\\\\5\ houses \to12h\ \ \ /:5\\\\1\ hose\to(12:5)h=\frac{12}{5}h=2\frac{2}{5}h=2\frac{2\cdot12}{5\cdot12}h=2\frac{24}{60}h=2h\ 24min\\\\Answer:A$

7 0

3 years ago