Steps:
Writing down the equation. x^2 + 1 = 0.Subtract 1 from both sides. x^2 = -1Square root (I am going to use the abbreviation sqrt) on both sides. x = sqrt (-1)sqrt (-1) is simplified as i (or imaginary number). Because of the sqrt, it would be plus or minus.(x+i)(x-i) is your answer. If you are in a lower math class (mentioning 10th grade or below), you should just put no solution.Hello,
We cannot factorize this binomial expression using normal factorization method.
if you have studied complex numbers method, then you can solve.
Here are the steps :-
[tex]{x}^{2} = (x)(x)[/tex]
[tex]→1 = (i)( - i)[/tex]
Now multiply,
[tex](x)(i) + (x)( - i) = (xi) - (xi) = 0[/tex]
[tex]→(x + i)(x - i)[/tex]
Therefore, the factors are (x+i)(x-i) :-
[tex]→ {x}^{2} = (x + i)(x - i)[/tex]
Kaitlyn purchased a new car 39 months ago for $18791. She has been paying $197.43 per month. How much does Kaitlyn still owe for her car?
Answer:
$11091.23
Step-by-step explanation:
Reword the situation:
She purchased a car for 18791 dollars 39 months ago.
As the 39 months passed she has been paying 197.43 a month.
How much does she still owe for her car?
First find out how much she's paid so far.
For 39 months she has been paying 197.43 a month
So, so far she's payed a total of 197.43 * 39 = 7699.77 dollars
Now subtract amount she's paid so far from total price of car.
18791 - 7699.77 = 11091.23
She still owes 11091.23
(I am giving branlest) (plz help only if you understand )
Solve one seventh plus nine fourteenths equals blank
A ten fourteenths
B eleven fourteenths
C ten sevenths
D eleven sevenths
Answer:
its 11/14 so its B hope this helps
shola earns #750 every month. if she spends 4/5 of her salary and saves the rest, how much does she save every month?
Answer:
250
Step-by-step explanation:
Amount she earns = 750
amount she spend = ⅘ of 750 = ⅘×750= 600
amount she saves = 750-600
Shola saves $150 every month.
What is multiplication?Multiplication is a mathematical arithmetic operation. It is also a process of adding the same types of expression for some number of times.
Example - 2 × 3 means 2 is multiplied by 3, or 2 is added 3 times.
Given:
Shola earns $750 every month.
She spends 4/5 of her salary.
That means,
4/5 of $750.
And 4/5 of $750 = 4/5 x 750
= 4 x 150
= 600
She spends $650 per month.
Saved amount,
= $750 - $600
= $150
Therefore, $150 is her monthly savings.
To learn more about the multiplication;
https://brainly.com/question/19634536
#SPJ2
What is the value of x? Enter your answer in the box. X=
Check the picture below.
Answer:
x=50
Step-by-step explanation:
1. equal the equations to each other: 2(x+10)=3x-30
2. distribute the 2 to x+10: 2x+20=3x-30
3. subtract 2x from both sides, and add 30 to both sides: x=50
First round 0.69 to the nearest tenth.
Answer:
0.69 rounded to the nearest tenth is 0.7
thanks ill mark brainliest
If I'm watching Gossip Girl, then it is Monday.
Hope this helps you!
Answer:
if i am watching Gossip Girl then it is monday
Step-by-step explanation:
that is the common sense that everyone should know
hope this helps everyone and have a great summer!
Help me poeaseeeeeeeeeeee
Answer:
C. Hope It's Help :)))))
Answer:
4.5
Step-by-step explanation:
∛100 = ?
100 = 2 x 2 x 5 x 5
∛100
= ∛ ( 2 x 2 x 5 x 5 )
= 4.642
4.642 ~ 4.5
The approximation 4.642 can also be written as 4.5
Therefore,
∛100 = 4.5
Danielle's text messaging plan costs $8 for the first 550 messages and 15¢ for each additional text message. If she owes $8.60 for text messaging in the month of October, how many text messages did she send that month?
Answer:
Danielle sent 554 text messages that month.
Step-by-step explanation:
In Oct she owed: $8 + 60¢
Because 15¢ = 1 additional message => 60¢ = 4 additional messages
So Danielle sent 550 messages (=$8) and 4 additional messages (= 60¢)
=> She sent: 550 messages + 4 additional messages = 554 messages
Hope this helps!
A ladybug crawls around the outside of a rectangle that measures 7.5 cm by 8.5 cm. The ladybug stays exactly 3.9 cm from the rectangle at all times to form a larger figure. What is the area of the new rectangle bound by the path of the bug?
Answer:
185.64 [tex]cm^{2}[/tex]
Step-by-step explanation:
Width =7.5+3.9*2 = 15.3 cm
Length = 8.5+3.9*2=16.3 cm
Big Area = 15.3*16.3 = 249.39 [tex]cm^{2}[/tex]
Small Area = 7.5*8.5 = 63.75 1 [tex]cm^{2}[/tex]
area bounded by the path of the bug = 249.39-63.75 = 185.64 [tex]cm^{2}[/tex]
Solve for t in the following equation.
10 + 4–2 = 2–2( + 4)
A. =−1 B. =−35
C. =35
Answer:
the answer would be 35...
Step-by-step explanation:
Dont know how to explain it on here
What type of correlation does the data set display?
х
y
2
13
5 11
7 10
9
8
11
2
A. Negative
O B. No correlation
C. Positive
Answer:
B-NO CORRELATION.....
Joy has ₱500.00 to spend for food. She spent ₱98.75 on Monday, ₱73.75 on Tuesday and ₱50.25 on Wednesday. How much money was left? with solution pls
Answer:
₱277.25
Step-by-step explanation:
₱500.00 - ₱98.75 - ₱73.75 - ₱50.25 = ₱277.25
A pack of dog food that weighs 5 kg cost $20. A smaller pack of dog food that is 500 g costs $2.50. Which one has better value?
Answer:
Step-by-step explanation:
$20 / 5 kg = $4 / kg
$2.50 / 0.5 kg = $5 / kg
the big bag is a better deal
In the 7th grade, 30% of students wear a medium size shirt. If 93 students wear a medium, how many total students are there in the 7th grade?
Answer:
310
Step-by-step explanation:
Answer:
310
Step-by-step explanation:
is/of = % / 100
[tex]93/x = 30/100[/tex]
93 * 100=9300
9300/30 = 310
4 lbs of tomato’s cost $14 complete the double number line so that it shows how much it will cost for up to 8 lbs of tomato’s
Answer:
the answer is 28$ because since the lbs get doubled so ypu also have to double the cost
Leah ran the mile in 12.08 minutes
on Tuesday. She ran the mile 1.42
minutes faster on Thursday. How
long did it take Leah to run the mile
on Thursday? PLEASE
Answer:
12.08-1.42=10.66
it takes 10.66 minutes on Thursday to run a mile
Pls help I am desperate
follow the steps shown on the photo
9514 1404 393
Answer:
7/5x -1/3
Step-by-step explanation:
We assume you want to simplify this expression.
[tex]\dfrac{-3}{5}x-\dfrac{1}{4}\cdot\left(-8x+\dfrac{5}{6}\right)-\dfrac{1}{8}\\\\=-\dfrac{3}{5}x+\left(-\dfrac{1}{4}\right)\cdot(-8x)+\left(-\dfrac{1}{4}\right)\cdot\left(\dfrac{5}{6}\right)-\dfrac{1}{8}\\\\=\left(-\dfrac{3}{5}+2\right)x-\left(\dfrac{5}{24}+\dfrac{1}{8}\right)\\\\=\dfrac{7}{5}x-\dfrac{5+3}{24}=\boxed{\dfrac{7}{5}x-\dfrac{1}{3}}[/tex]
_____
Additional comment
2 = 10/5; 1/8 = 3/24; 8/24 = 1/3. The x-terms get combined and the constants get combined. It is generally helpful to eliminate parentheses first using the distributive property.
Can someone help me with this question?
Answer:
4.39%
Step-by-step explanation:
- chefs/head was facing the larger percent decrease
- by this much:
[tex] \frac{ 100 - x }{100} = \frac{95700}{100100} \\ \\ x = \frac{400}{91} \\ \\ x = 4.39\%[/tex]
A company makes a profit of $y (in thousand dollars) when it produces x computers,
where y is given by the formula y = a(x - 100)(x - 200) for x 20 If 120
computers are produced, the profit will be $3,200,000.
a) Find the value of a.
b) What is the maximum profit the company can make? At this profit, how many
computers should be produced?
c) If the company targets to make at least $4,800,000, what is the range of the
number of computers to be produced?
Using quadratic function concepts, it is found that:
a) The value of a is -2000.
b) The maximum profit the company can make is of $5,000,000, when 150 computers should be produced.
c) Between 140 and 160 computers need to be produced.
The profit is modeled by:
[tex]y = a(x - 100)(x - 200)[/tex]
Item a:
If 120 computers are produced, the profit will be $3,200,000, hence when [tex]x = 120, y = 3200000[/tex], and this is used to find a.
[tex]y = a(x - 100)(x - 200)[/tex]
[tex]3200000 = a(120 - 100)(120 - 200)[/tex]
[tex]-1600a = 3200000[/tex]
[tex]a = -\frac{3200000}{1600}[/tex]
[tex]a = -2000[/tex]
The value of a is -2000.
Item b:
We first place the quadratic function into standard form, thus:
[tex]y = -2000(x - 100)(x - 200)[/tex]
[tex]y = -2000(x^2 - 300x + 20000)[/tex]
[tex]y = -2000x^2 + 600000x - 40000000[/tex]
Which has coefficients [tex]a = -2000, b = 600000, c = -40000000[/tex].
Then, we have to find the vertex:
[tex]x_V = -\frac{b}{2a} = -\frac{600000}{2(-2000)} = 150[/tex]
[tex]\Delta = b^2 - 4ac = (600000)^2 - 4(-2000)(-40000000) = 40000000000 [/tex]
[tex]y_V = -\frac{\Delta}{4a} = -\frac{40000000000 }{4(-2000)} = 5000000[/tex]
The maximum profit the company can make is of $5,000,000, when 150 computers should be produced.
Item c:
We are working with a concave down parabola, hence the range is between the roots of:
[tex]y = -200x^2 + 600000x - 40000000[/tex]
[tex]4800000 = -200x^2 + 600000x - 40000000[/tex]
[tex]-200x^2 + 600000x - 44800000 = 0[/tex]
The coefficients are [tex]a = -200, b = 600000, c = -44800000[/tex].
Then:
[tex]\Delta = b^2 - 4ac = (600000)^2 - 4(-2000)(-44800000) = 1600000000[/tex]
[tex]x_1 = \frac{-b - \sqrt{Delta}}{2a} = \frac{-600000 - \sqrt{1600000000}}{2(-2000)} = 160[/tex]
[tex]x_2 = \frac{-b + \sqrt{Delta}}{2a} = \frac{-600000 + \sqrt{1600000000}}{2(-2000)} = 140[/tex]
Between 140 and 160 computers need to be produced.
A similar problem is given at https://brainly.com/question/24705734
pls answer this .............
Answer:
Do the same thing for the other exercises and you should find the results. They are all complimentary angles, that means if you sum the two equations representing the angles of each exercise they will be equal to 180º always
Step-by-step explanation:
3. notice 2x is complimentary of 2x + 80 because 2x is opposed to that blank space that compliments it.... I'm bad at explaining, I'll just show.
2x + 2x + 80 = 180
4x + 80 = 180
4x = 180 - 80
4x = 100
x = 25º
so then:
2x = 2*25
2x = 50º
and:
2x + 80 = 50 + 80
2x + 80 = 130º
Helppppppppppppppppppppppppppppp
Answer:
Step-by-step explanation:
just find a new photo
Bài 4: 350 Cho tam giác ABC nhọn, hai đường cao BD, CE cắt nhau tại H. M là trung điểm của BC. K đối xứng với H qua M. a) Chứng minh tứ giác BHCKlà hình bình hành b) Chứng minh BK LAB và CK AC. c) Gọi 0 là trung điểm của AK. Chứng minh OM IBC d) Gọi N là điểm đối xứng với H qua BC. Chứng minh BNKC là hình thang cần
100 points, Please help!
Answer:
Look if you say 100 points. Give a hundred points. If you want an answer be honest~ and say fifty points
Step-by-step explanation:
1=17
2=97
Answered:
1 = 17
2 = 97
5. Hamza chopped up
pineapple and gave į to his
mum. He also ate half himself.
How much was left to give to
his dad?
Answer:
depends how much he chopped up
Step-by-step explanation:
Answer:
Nothing
Step-by-step explanation:
"5. Hamza chopped up
pineapple and gave ½ to his
mum. He also ate half himself.
How much was left to give to
his dad?"
1 - 1/2 - 1/2 = 2/2 - 1/2 - 1/2 = 1/2 - 1/2 = 0
Answer: There was nothing left for him.
Determina el resultado de la siguiente operación -2 -7 -9
Answer:
Step-by-step explanation:
(43)*(29)
explicación paso a paso:
en una operación matemática (*) se denomina como (×)
(43)*(29)=
43×29
______= 1,274
Bradley is 27 years older than Madison seven years go, the sum of their ages was 59?
Answer:
how old is Madison right then I can't really help u solve it with that little info
Use point-slope form to write the equation of a line that passes through the point (19,-17) with slop -5/3
Answer:
y +17 = -5/3(x -19)
Step-by-step explanation:
The point-slope form of the equation for a line is ...
y -k = m(x -h) . . . . . . . line with slope m through point (h, k)
You want a line with slope -5/3 through point (19, -17). Its equation is ...
y -(-17) = -5/3(x -19) . . . . . substitute the given values
y +17 = -5/3(x -19) . . . . . simplify
HELP
The perimeter of a rectangular pool is 740 yd. If the length is 30 yd less than four times the width, find the length and width.
The length of the rectangular pool is __ yd.
When a divisor divides the dividend exactly without leaving remainder then the divisor and quotient are
pls answer
Answer:
The divisor is called a factor of the dividend.
Step-by-step explanation:
Hope this helps
(Brainliest is appreciated)
Answer:
If a divisor divides the dividend exactly and leaves no remainder, this divisor is also called a factor of that dividend. Therefore, all factors of a number are divisors, but not always all factors have to be factors of a number The factors of 8 are for example 1, 2, 4 and 8, because 8 can be divided exactly by 1, 2, 4, 8.
Step-by-step explanation:
Hope this helps :)
correct?////////////////
Answer:
No solution
One solution
Many solutions
One solution
Step-by-step explanation:
Let's use y = mx + b
m = coefficient (or slope)
b = constant ( or y-intercept)
If they have different y-intercepts but they're both rising the same amount there would be no solution because they would never cross
If the slope was different but the same y-intercept they would cross on the y-axis, making them have one solution
Equal coefficients and constants is correct, there would be infinite solutions
Different slopes and different y-intercepts would make them cross randomly one, so one solution
Hope this helped! Comment if it does or not :)
