Answer:
x = 1 ± 2i
Step-by-step explanation:
x² - 2x + 5 = 0 ( add 5 to both sides )
x² - 2x = - 5
Using the method of completing the square
add ( half the coefficient of the x- term)² to both sides
x² + 2(- 1)x + 1 = - 5 + 1
(x - 1)² = - 4 ( take square root of both sides )
x - 1 = ± [tex]\sqrt{-4}[/tex] = ± 2i ( add 1 to both sides )
x = 1 ± 2i ( that is the solutions are complex )
Answer:
[tex]x=1\pm2i[/tex]
or
[tex]x=1+2i[/tex]
[tex]x=1-2i[/tex]
Step-by-step explanation:
All equations of the form [tex]ax^2+bx+c=0[/tex] can be solved using the quadratic formula: [tex]x = \frac{-b \pm \sqrt{b^2-4ac}}{2a}[/tex]
Quadratic formula gives two solutions, one when ± is addition add one when it is subtraction.
[tex]x^2-2x+5=0[/tex]
Equation is in standard form: [tex]ax^2+bx+c=0[/tex]
Substitute 1 from a, [tex]-2[/tex] for b, and [tex]5[/tex] for C in the quadratic formula, [tex]\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]
[tex]x=\frac{-\left(-2\right)\pm \sqrt{\left(-2\right)^2-4\times \:1\times \:5}}{2}[/tex]
Multiply -4 × 5:
[tex]x=\frac{-\left(-2\right)\pm \sqrt{\left(-2\right)^2-4\cdot \:1\cdot \:5}}{2}[/tex]
Add 4 + -20:
[tex]x=\frac{-\left(-2\right)\pm \:4i}{2}[/tex]
* the opposite of -2 is 2:
[tex]x=\frac{2\pm 4i}{2}[/tex]
Now, solve equation:
[tex]x=\frac{2+4i}{2}[/tex]
Divide 2 + 4i by 2:
[tex]x=1-2i[/tex]
_____________________________
A reporter wants to interview an employee who works fewer than 30 hours per week. Is the reporter more likely to find such a person at Company A or at Company B?
Answer:
Company B
Step-by-step explanation:
Company B has staff who works for less than 30 hours per week since it is a software company which freelances various technicians. They are free to work on the time of availability and there is no restriction of work to be done. They are paid on the basis of tasks they complete and they work remotely. The interviewer should select an employee from Company B because they work less than 30 hours per week.
Julio runs 4 miles each time that he goes running. If he goes running 7 times a week, how many miles does he run total in one week?
Answer:
He runs 28 Miles every week!
Step-by-step explanation:
(The week is 7 days long)
1st DAY = 4M
2nd DAY = 4M
3rd DAY = 4M
4th DAY = 4M
5th DAY = 4M
6th DAY = 4M
7th DAY = 4M
(The M next to the 4 means miles you don't have to include it in your answer on your homework!)
4 + 4 + 4 + 4 + 4 + 4 + 4 = 28
OR
4 x 7 = 28
~ LadyBrain
Martina had 15 pounds of flour at her bakery. She used 1/5 pound of flour to make cookies every day until all the flour was gone. How many days did Martina use flour to make cookies?
Answer:
5 days
Step-by-step explanation:
Martina has 15 pounds of flour at her bakery
She uses 1/5 of the flour to make cookies everyday
1/5 × 15
= 3
Hence the number of days used to make the cookies can be calculated as follows
= 15/3
= 5
Someone please help with this khan assignment
Answer:
slopes is 1/4
y intercept is 3 i think the inequality would be y=mx+b so it would be y=1/4x+3
Step-by-step explanation:
what is the product of the polynomials? (3x-2)(12x+7)
Answer:
36x²-3x-14
Step-by-step explanation:
(3x-2)(12x+7)
36x²+21x-24x-14
36x²-3x-14
Describe a Perpendicular Bisector to a segment
Answer:
A perpendicular bisector is a line, ray, or line segment that intersects a segment and is perpendicular to the segment at it's midpoint.
Step-by-step explanation:
What divided by 20 equals 0.6
Answer:
12
Step-by-step explanation:
Let's represent the problem by X / 20 = 0.6, where X is the number we're looking for. Therefore, if we multiply both sides of the equation by 20, we'll get X, which is 12.
Answer:
12
Step-by-step explanation:
12 divided by 20 equals 0.6
3x+4=5 (2 step equations) NO BOTS
Answer:
x=1/3
Step-by-step explanation:
3x+4=5
-4 -4
3x=1
3x/3=1/3
x=1/3
Hi! how are you? Please answer the question pls! ill make sure to give brainliest too! :D
Answer:
16 cm squared
Step-by-step explanation:
8cm x 2cm would equal 16 cm squared
my day was okay. Had school, played some games, did hw, normal stuff. :D
Anywho im going to do my tutor hw and maybe help some other people. Bye!
Answer:
14 cm^2
Step-by-step explanation:
First of all we have to find the total area
total area = lenght x width = 8 x 2 = 16 cm^2
the shaded area is a right triangle
the area of a right triangle is
A = (leg 1 x leg2)/2 = (2 x 2)/2 = 2 cm^2
now we have to subtract it from the total area
16-2 = 14 cm^2
The diagram shows the dimensions of a solid concrete patio in the shape of a right rectangular prism.
How much concrete was used to make the patio?
O A 1.44 m3
OB. 7.80 m
O c. 14.50 m
OD. 30.34 m
Answer: A
Step-by-step explanation: i multiplied all the sides
The quantity of concrete used to make the patio is 1.44 m³
Since the solid concrete patio is a right rectangular prism, to find the amount of concrete used in making the patio, we find its volume.
So, the volume of the patio, V = lbh where l = length of patio = 4.5 m, b = width of patio = 3.2 m and h = thickness of patio = 0.1 m
So, V = 4.5 m × 3.2 m × 0.1 m = 1.44 m³
The quantity of concrete used to make the patio equals the volume of the patio.
So, the quantity of concrete used to make the patio is 1.44 m³
Learn more about quantity of concrete here:
https://brainly.com/question/17387567
did i do this right “what % of 369 is 26” i got 7.04 so is that the rounded answer (hundredths place) or just 7.0=7?
Answer:
26 is 7.05% or 7.04% of 369.
Step-by-step explanation:
Now 7.04% of 369 is actually 25.9776.
and 7.04% is 26.01452.
But if you round both 25.9776 and 26.01452 you get 26
So, technically you are correct.
Hope this helps! :)
Help please n thank u
Answer:
97.4
Step-by-step explanation:
There are 8 oranges, 5 apples, and 6 bananas In the fruit basket.
-Bob says the ratios of apples to bananas is 5:6
-Rob says the ratios of bananas to apples is 6:5
-Thob says that the ratios of apples and bananas to all the fruit is 11:19
Who is correct? I REALLY need an explanation.
Step-by-step explanation:
all of them are correct
there are 5 apples and 6 bananas
there are 6 bananas and 5 apples
5 apples plus 6 bananas=11
8 oranges+5 apples+6 bananas=19
so the ratio is 11:19
Answer:
they are all correct
Step-by-step explanation:
a ratio is a comparison saying that for every group of numbers that there will be another group of numbers for example
the ratio of apples to bananas is
number of apples->5:6<- number of bananas
so of the ratio stays the same then for every 5 apples added to the basket then 6 bananas will also be added(works other way to)
A right triangle has side lengths of 20, 21, and 29 centimeters. The angle formed at the intersection of the 21 cm and 29 cm sides is labeled x. Find sin x.
answer choices:
20/29
21/29
20/21
29/21
Find 3 ratios that equal to 7:3
Answer:
21:9
28:12
35:15
Step-by-step explanation:
Multiply both numbers by the same numbers (I chose 3,4, and 5)
Answer:
14:6 - 21:9 - and 28:12
Step-by-step explanation:
just multiple the original ratio by 3 so when you reduce, they'll equal to 7:3
I need help with this
-33/9+2 please help I need it ASAP
Answer:
Step-by-step explanation:
[tex]\frac{-33}{9}+2=\frac{-33}{9}+\frac{2*9}{1*9}\\\\\\=\frac{-33}{9}+\frac{18}{9}\\\\= \frac{-33+18}{9}\\\\=\frac{-15}{9}[/tex]
GCF of 15 and 9 is 3. so divide both numerator and denominator by 3
[tex]= \frac{-5}{3}\\\\= -1\frac{2}{3}[/tex]
PLZ HELP!!! NEED HELP ASAP!!!!
Answer:
(4/3, -3, 3/2)
Step-by-step explanation:
f(x)=6x^3+x^2-39x+36
0-6x^3-x^2+39x-36=0
-6x^3-18x^2+17x^2+51x-12x-36=0
-6x^2(x+3)+17(x+3)-12(x+3)=0
-(x=3)(6x^2-17x+12)=0
-(x+3)(6x^2-8x-9x+12)=0
-(x+3)(2x(3x-4)-3(3x-4))=0
-(x+3)(3x-4)(2-3)=0
(x=3)(3x-4)(2x-3)=0
x=-3 x=4/3 x=3/2
Barkley's team won 40% of their games last season. If they won 12 games total last season, how many games did they play?
Answer:
30 games
Step-by-step explanation:
if they won 12 games which is 40% of their total games played 100% is the number of games played .form an equation...
if 12=40
x=100 cross multiply 12 and 100 then divide by 40 to get x
12×100=1200÷40=30.
Find the 12th term of the geometric sequence 8, 16, 32, ...8,16,32,...
Answer:
this is the ans
Step-by-step explanation:
hope it helps!!!
The school you are attending is selling tickets to the fall festival. On the first day, the school sold 14 senior citizen tickets and 1 child ticket for a total of $66.50. On the second day, the school sold 2 senior citizen tickets and 2 child ticket for a total of $16.00. What is the price of one senior citizen ticket?
Answer:
Price of each senior citizen ticket is $12 and one child ticket is $3
Step-by-step explanation:
The price of one senior citizen ticket is $ 4.50.
Let x = price of one senior citizen ticket and y = price of one child ticket.
Now, since On the first day, the school sold 14 senior citizen tickets and 1 child ticket for a total of $66.50. WE have that
14x + y = 66.50 (1)
Also, on the second day, the school sold 2 senior citizen tickets and 2 child tickets for a total of $16.00. We have that
2x + 2y = 16.00 (2)
From (1), y = 66.50 - 14x
Substituting y into (2), we have
2x + 2y = 16.00
2x + 2(66.50 - 14x) = 16.00
2x + 2(66.50 - 14x) = 16.00
2x + 133 - 28x = 16
2x - 28x = 16 - 133
-26x = -117
x = -117/-26
x = 4.5
So, the price of one senior citizen ticket is $ 4.50.
Learn more about simultaneous equations here:
https://brainly.com/question/15165519
SOMEBODY HELP ME PLEASE
Answer:
90
Step-by-step explanation:
9*6=54
54*5= 270
270/3=90
There are 3 white marbles, 4 yellow marbles and 5 blue marbles. What's the probability of having one blue marble when we randomly select 4 marbles from the batch?
Answer:
5/16
Step-by-step explanation:
A substance weighing 961 ounces decays at a rate of 3.2% PER HOUR. What is the weight of the substance after ONE DAY?
Answer:
222.952 ounces
Step-by-step explanation:
3.2% of 961 = 30.752
Hours in one day = 24 Hours
30.752 x 24 = 738.048
961 - 738.048 = 222.952
I am failing a class and my mom is having a conference with the teacher who is failing me but it's partially my fault because i didn't submit some assignments! What would you say during the conference to convince your teacher to let you make up the assignments?
Answer:
Bring up your mental health. This pandemic is really taking a toll on peoples mental health and online classes don't make it any better. Bring up how you know you can do better and how you will do better in the future.
Step-by-step explanation:
Plz help!!!!!
ctc math
Answer:
7,13,37,55,103
Step-by-step explanation:
y = 5 + 2x^2
if x =1
y = 5 + 2(1)^2
1^2 = 1
2 x 1 = 2
y=5 + 2 or y = 7
you substatute each one in for x to solve for y
ILL GIVE BRAINLY FOR FIRSR ANSWER
Least to greatest: 0.44, 44.5%, 0.4445, 4/9
PLEASE HELP, THIS IS MY LAST ATTEMPT!!
You plan to invest $350 in a growth fund that has a rate of 1.5% compounded quarterly.
How much money will this investment be worth after 50 years?
Round your answer to the nearest cent, and enter it with a dollar sign, like this: $42.53
Answer:
$739.91
Step-by-step explanation:
350(1+.015/4)^200
I saw a rectangular floor is 42 M long and 39 meters wide how many square meters of flooring do they need ?
Answer: 81 I guess
Step-by-step explanation: (empty)
Answer:
1,638
Step-by-step explanation:
Area equation=Lenngth*Width
42*39=1,638sq. M
CAN ANYOJ HELP? THANKS