Answers
Answer:
x^2 - 4x + 5 = 0
Step-by-step explanation:
:)
x = (2 + i) and (2 - i) are the roots of the quadratic equation f(x) = x² - 4x + 5.
What are roots of a quadratic equation?The values of variables satisfying the given quadratic equation are called its roots.
Given (2 + i) and (2 - i) are roots of the quadratic equation.
Let the quadratic equation be f(x).
(x - (2 + i)) and (x - (2 -i)) are the factors of f(x).
Since, f(x) is a quadratic equation, it has only two roots.
f(x) = (x - (2 + i))(x - (2 - i))
f(x) = x² - (2 - i)x - (2 + i)x + (2 - i)(2 + i)
f(x) = x² - 2x + ix - 2x - ix + 4 - i²
f(x) = x² - 4x + 4 + 1
f(x) = x² - 4x + 5
Learn more about roots of quadratic equation here
https://brainly.com/question/26926523
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Related Questions
PLEASE HELP! DUE TOMORROW 1-8-21 !! Look at these equations. Write each equation in slope-intercept form. Are these equations the same or different? Explain. I don’t know how to do the middle equation so please show work for that.
Answers
Answer:
y = 2x-4
all the equations are the same as the slope-intercept form is the same for all the equations
Step-by-step explanation:
slope-intercept form:
[tex]y = mx + b[/tex]
2x-3 = y+1
i) move y to the left-hand side and change its sign-y+2x-3 = 1
ii) move 2x-3 to the right-hand side and change its sign-y = 1-2x+3
iii) add the numbers-y = (1+3)-2x
-y = 4-2x
iv) change the signs on both sides of the equationy = -4+2x
v) use the commutative property to reorder the terms( commutative property: the number on which we operate can be moved or swapped from their position without making any difference to the answers )
y = 2x-4
9 ⅚ + 1 ¼ + ___________ = 14
Answers
Answer:
14
reeaADADSDDSSA
Step-by-step explanation:
[answer 1 11/12 or 2.917]
1. 9 5/6 + 1 1/4 = 11 1/12
2. 14 - 11 1/12 = 35/12 then you smiplfy to get 1 11/12 or 2.917
PLEASE HELP WILL GIVE 30 POINTS
The data set shows the ages of guests on a recent tour of a museum: 34, 18, 29, 60, 44, 51, 65, 68.
A. What is the five-number summary of the data? Show your work.
B. How could the museum curator use this information to improve sales at the gift shop?
I already did part A I just need help on part B
The five-number summary is
Min: 18 Max: 68 Median: 47.5
Q1: 31.5 Q3:62.5
Answers
he can use the information to put stuff on sale so more people will come and he can make more money
Step-by-step explanation:
25. A bag contains colored tiles.
• 3 tiles are red
• 6 tiles are green
• 3 tiles are blue
Atile will be randomly selected from the bag. What is the probability in decimal
form that the tile selected will be green?
Answers
how many degrees is the measurement of angle 1? show you work GVING BRAINLY
Answers
Answer:
m<1 = 79°
Step-by-step explanation:
12x + 19 + 22x - 9 = 180
add the numbers
34x + 10 =180
minus 10
34x = 170
divide by 34
x = 5
plug 5 into the equation of angle 1
12(5) + 19 =
79
PLEASE HELP!! Will mark brainlest!!
Which number is equivalent to 16 1/2
A. 2
B. 4
C. 8
D. 32
Answers
Answer:
I'm not even lying, it's none of them ;-;
btw if you want, can you give me brainliest :((
Answer:
4
Step-by-step explanation:
16^(1/2)
when bringing a number to the power of a fraction the denominator becomes the order of the root and the numerator becomes the power of the number
we are left with an order 2 root, which is a square root
[tex]16^\frac{1}{2}=\sqrt[2]{16}=4[/tex]
After 2 week he has used 8 1/2 cups of dog food after 5 week he has used 21 1/4 cups construct a function in the form y =mx+ to represent the amount of dog food used y, after x weeks
Answers
Answer:
y = 4.25x
Step-by-step explanation:
Given that:
After 2 week he has used 8 1/2 cups of dog food after 5 week he has used 21 1/4 cups, we can write this in coordinate form (x, y) where;
y is the amount of dog food
x is the time in weeks
The coordinates are (2, 8 1/2) and (5, 21 1/4)
get the slope m:
m = y2-y1/x2-x1
m = (21 1/4 - 8 1/2)/5-2
m = (85/4-17/2)/3
m = (85-34/4)/3
m = 51/12
m = 4.25
Get the intercept c:
Substitute any of the points say (2, 17/2) and m = 51/12 into the equation
y = mx+c
17/2 = 51/12(2) + c
17/2 = 51/6 + c
c = 17/2 - 51/6
c = 51-51/6
c = 0
Get the required equation:
substitute m - 4.25 and c = 0 into y = mx+c
y = 4.25x + 0
Hence the required equation is y = 4.25x
At Shop and Save Grocery Store, apples cost $3.59 a pound. If you buy 2.5 pounds, how much will it cost? Round your answer to the nearest cent.
Answers
Answer:
$8.98
Step-by-step explanation:
3.59+3.59+1.80
find the value of x and y
Answers
Answer: y is 40 x is 60
Step-by-step explanation:
Answer:
x=40 and y =5
Step-by-step explanation:
. Mark's profile picture is 4 inches tall, but his actual height is 76 inches. What is the scale factor from his profile picture to his actual height?
Scale factor =
19
72
16
38
3b. If the profile picture of Mark's sister is 3.5 inches tall, how tall is her actual height?
Her actual height is _____ inches.
70
82
59.5
66.5
Answers
Step-by-step explanation:
Answer: 19, because all you´re doing for mark is dividing his actual height from the profile picture.
Marks sister: 66.5, because you will take her height (3.5) and you will put x over 3.5 in fraction form. Then you will take marks profile picture height, and put it in fraction form (76 over 4) then you will cross multiply 3.5 and 76 which will give you 266. Then you´ll divide 266 by 4 which would give you 66.5
Steve’s baseball team played 33 games and won 15 of them. What percent did the team win? *
Answers
Answer:
Approximately 45%.
Step-by-step explanation:
We know that Steve's team played in total 33 games. Out of the 33, they won 15 of them.
So, as a fraction of the total won over the total games, we can write:
[tex]\displaystyle\frac{15}{33}[/tex]
So, by dividing, the percent the team won is:
[tex]\displaystyle\frac{15}{33}=0.\overline{45}=0.454545...\approx0.45=45\%[/tex]
The team won approximately 45% of its games.
A football player has made 80% of the field goals he has attempted in his career. If he
attempts 45 field goals in a season, how many would he be expected to make?
PLEASE ANWSER SERIOUSLY
Answers
Answer:
im pretty sure its 56.25 cus 45= 80% of 56.25
Step-by-step explanation:
What is greater -3.2 or -3
Answers
Answer:
-3 is greater
Step-by-step explanation:
Have a good day :)
HEELLPPP!!!!! fastttt plzzzzz!
The sales for products sold at an electronic store are below. What percent of the products sold were speakers?
Answers
Answer:
6.00%
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
A cone has a diameter labeled twelve centimeters and a height labeled thirty-two centimeters. Find the area of a vertical cross section through the center of the base of the cone.
Answers
Answer:
[tex]A=0.0192[/tex]
Step-by-step explanation:
Diameter labeled twelve centimetres D =12cm => 0.12
height labeled thirty-two centimetres H= 32cm => 0.32
Generally the vertical cross section of this cone is a triangle
Mathematically solving
Area of vertical cross section through the center of the base of the cone is given by [tex]A=1/2 D*height[/tex]
[tex]A=R*H[/tex]
Therefore
[tex]A=\frac{0.12}{2} *0.32[/tex]
[tex]A=0.06 *0.32[/tex]
[tex]A=0.0192[/tex]
please help me answer this
Answers
what is this? answer quickly please
Answers
Answer: t= 11.5
Step-by-step explanation: 5 + (-11.5+3) = 3.5
Answer:
T = -3.7
Step-by-step explanation:
We begin with the given equation.
5(t+3)=-3.5
Distribute 5 throughout parentheses.
5t + 15 = -3.5
Move 15 to the other side and switch signs.
5t = -3.5 - 15
Combine like terms.
5t = -18.5
Divide by 5t.
t = -3.7
Which side has a length of 10 units?
Answers
Answer:
I'm not honestly for sure but i'm guessing the side G, J because it is the longest!
Hope this helps,
0Drink0Milk0
it is Gj your welcome it has to be
Function g is a transformation of the parent exponential function. Which statements are true about function g?
FAKE ANSWERS WILL BE REPORTED!!
Answers
Using function concepts, it is found that the correct options are:
Function g is positive over the interval [tex](-\infty, \infty)[/tex].The range of function g is [tex](3, \infty)[/tex].Function g has a y-intercept of (0,4).What is the parent exponential function?The parent exponential function is defined by:
[tex]y = e^x[/tex]
In this problem:
When [tex]x = 0, e^x = 1[/tex], while [tex]g(x) = 4[/tex] when x = 0, hence it is 4 - 1 = 3 units above function f.From the graph, it is above the x-axis in the interval [tex](-\infty, \infty)[/tex], hence it is positive in this interval.The range is the set that contains all output values, that is, all values of y, hence it is [tex](3, \infty)[/tex].The domain is the set that contains all possible input values, hence it is [tex](-\infty, \infty)[/tex].The y-intercept is (0, g(0)), hence (0,4).Function g is increasing over the entire interval.To learn more about function concepts, you can take a look at https://brainly.com/question/16948935
What is the vertex of the function defined as
g(x) = f(x – 5) + 3?
Answers
Answer:
f=gx−3/x−5
Step-by-step explanation:
Step 1: Flip the equation.
fx−5f+3=gx
Step 2: Add -3 to both sides.
fx−5f+3+−3=gx+−3
fx−5f=gx−3
Step 3: Factor out variable f.
f(x−5)=gx−3
Step 4: Divide both sides by x-5.
f(x−5)/x−5=gx−3/x−5
Select the three situations that model a sum of zero.
Explain your answer.
Answers
Answer:
Step-by-step explanation:
1,2,4
−9,000÷3=−3,000 What does -3,000 tell me
Answers
Answer:
Step-by-step explanation:
SEARCH IT UP!!!!!!!
Expand and simplify
(x + 3)(x + 5)
Answers
Answer:
x^2+8x+15 this is it simplified
The numbers –12, –7, –2, 3, . . . follow a pattern. What are the next three numbers in this pattern? A. 8, 13, 18 B. 5, 10, 15 C. 2, 8, 13 D. 8, 14, 17
Answers
Answer:
A.
Step-by-step explanation:
5 is added each time
3 + 5 = 8
8 + 5 = 13
13 + 5 = 18
Answer:
8,13,18
Step-by-step explanation:
help me please! thanks:)
Answers
Answer:
Question 1. 1st option
Question 2. 3rd option
Question 3. 3rd option
2.C. 6/10 simplified = 3/5 so 3-5 and 1/5
3.C. 12/100= 3/25 and 125/100= 5/4
Hope this helps
Have a great day
Ramona has a bag that contains candies of the same size and shape. There are 5 green candies, 4 orange candies and 3 yellow candies. She draws a candy at random, replaces it, and then draws a second candy. What is the probability that both candies will be orange?
Answers
Answer:
the answer is 1/3
Step-by-step explanation:
What number is 40% of 160?
Try to explain
Answers
Answer: 64
Step-by-step explanation:
40% of 160
40/100 x 160
6400/100
64
Did I explain this well?
Answer: 64
Step-by-step explanation: So you would start off with the ratio of 40:100 other known as in fraction form 40/100 and you know of means to multiply so you grab the numbers 160 and 40 and mulitiply those digits together and you get 6400. This is where the 100 comes to place and you divide the 6400 by 100 and you get 64.
I
A 10 kg box is pulled across the floor at a constant speed. If the force of pull was 70 N at
a 30° angle:
a. What was the force of friction
b. What was the coefficient of friction
Answers
Answer:
Acceleration equals zero because of constant velocity
[tex]f - fr = ma \\ 70 \cos(30) - fr = 0 \\ 70 \cos(30) = fr \\ fr \: = 60.62[/tex]
coefficient
Fr = coefficient × r
60.62= ce ×100
0.60 = coefficient
Simplify the exponential expression 48 Superscript one-half.
2 (24 Superscript one-half Baseline)
3 (16 Superscript one-half Baseline)
4 (3 Superscript one-half Baseline)
16 (3 Superscript one-half Baseline)
Answers
Answer:
the answer is C here you go for anyone needing it
Step-by-step explanation:
Answer:
The answer is C. (2)
Step-by-step explanation:
When 80 is decreased by 15%, the new number is
Answers
Answer:68
Step-by-step explanation:
Percentage decrease = 15% × 80
New value =
80 - Percentage decrease =
80 - (15% × 80) =
80 - 15% × 80 =
(1 - 15%) × 80 =
(100% - 15%) × 80 =
85% × 80 =
85 ÷ 100 × 80 =
85 × 80 ÷ 100 =
6,800 ÷ 100 =
68