Find the solution set of the following equation in simplest a +bi form.
x² - 6x +12 =-10x+3
Please help quick
Answers
Answer:
[tex]-2\pm i\sqrt{5}[/tex]
Step-by-step explanation:
[tex]x^2-6x+12=-10x+3\\x^2+4x+9=0[/tex]
For the quadratic formula, [tex]a=1,\,b=4,\,c=9[/tex].
[tex]\frac{-b \pm\sqrt{b^2-4ac}}{2a}=\frac{-4\pm\sqrt{16-4(1)(9)}}{2(1)}=\frac{-4\pm\sqrt{-20}}{2}\\=\frac{-4\pm 2\sqrt{-5}}{2}=-2\pm\sqrt{-5}=-2\pm i\sqrt{5}[/tex]
Related Questions
What is a reasonable domain and range for the function in #13 If the frame must be at least 1 inch and no more than 3 inches wide
Answers
Answer:
[tex]Domain: \{1 \le x \le 3\}[/tex]
Step-by-step explanation:
Given
See attachment for options
Required
Determine the domain and the range
From the question, we understand that:
[tex]x \ge 1[/tex] --- at least 1 inch
[tex]x \le 3[/tex] --- not more than 3 inches
So, the domain is:
[tex]x \ge 1[/tex] and [tex]x \le 3[/tex]
Rewrite as:
[tex]1 \le x[/tex] and [tex]x \le 3[/tex]
Combine both:
[tex]1 \le x \le 3[/tex]
Hence, the domain is:
[tex]Domain: \{1 \le x \le 3\}[/tex]
There is no available to determine the range.
A general rule is that, substitute the limits of the domain (i.e. 1 and 3) in the function formula, the result is the range of the dataset.
For instance:
[tex]A(x) = 5x[/tex]
We have:
[tex]A(1) = 5*1=5[/tex]
[tex]A(3) = 5*3=15[/tex]
The range will be:
[tex]Range: \{5 \le A(x) \le 15\}[/tex]
Is 7 a factor of 34q+ 37r?
Answers
Answer:
no
Step-by-step explanation:
In a certain Algebra 2 class of 30 students, 7 of them play basketball and 15 of them
play baseball. There are 10 students who play neither sport. What is the probability
that a student chosen randomly from the class plays basketball or baseball?
Answers
Answer:
P=2/3Explanation:
since there are 10 students who play neither sport over 30, this means 20 students play basketball or baseball or both! (among them 2 students who play both basketball and baseball)
∴ the probability that a student chosen randomly from the class plays basketball or baseball is 20/30 and that equals 2/3 or 66.66%
The volume of the figure, round to the nearest hundredth.
Answers
Answer: Imma need a picture to find the volume love.
Step-by-step explanation:
The table shows the number of tickets sold and the profit made at the fundraiser
2 $18
4 $36
6 $54
8 $72
Which describes the relationship between the number of tickets sold and the profit
Each ticket sold yields $8 of profit
Each ticket sold yields $9 of profit
Each ticket sold yields $16 of profit
Each ticket sold yields $18 of profit
Answers
Answer:
first one is The table shows the number of tickets sold and the profit made at a fundraiser. Tickets Sold Profit
2 $18
4 $36
6 $54
8 $72
Which describes the relationship between the number of tickets sold and the profit?
Each ticket sold yields $8 of profit.
Each ticket sold yields $9 of profit
. Each ticket sold yields $16 of profit.
Each ticket sold yields $18 of profit.
Step-by-step explanation:
done
Answer:
b
Step-by-step explanation:
Unit l2 trigonometry homework 6 law of cosines
Does anyone know the answer please help!
Answers
Step-by-step explanation:
The law of cosine states that:
[tex]C^2=B^2+A^2-2AB\cos(\theta)[/tex], where C is the side opposite of angle theta, and A and B are the adjacent sides of the angle.
In this case, A is equal to 21, and B is equal to 30 (or it could also be the other way around). That means that:
[tex]C^2=21^2+30^2-2\cdot21\cdot30\cos(73)\\C=\sqrt{21^2+30^2-2\cdot21\cdot30\cos(73)}=\boxed{31.186722}[/tex] (to nearest 6 digits)
Answer:
102.61
Step-by-step explanation:
assuming that QS is the hypothesis we us the fromula like this:
[tex]30cos(73)[/tex]
which gives us 8.7711511417 or we can round to 8.77
assuming that QS is the adjacent we use:
[tex]\frac{30}{cos(73)}[/tex]
which gives us 102.609108595 or rounded to 102.61
looking at both answers we can see that 102.61 would be the correct answer.
1) Analyze the equation: y = 5x + 10 What is the y-intercept? *
5
-5
10
-10
Answers
Answer:
10
Step-by-step explanation:
Plug in x=0
5(0)+10
0+10=10
Answer:
y=10
Step-by-step explanation:
First, you have to substitute x=0
y=5 x + 10
y=5 x 0 + 10
Solve the equation for y
y=10
What is this shape? (sorry I'm d.umb)
Answers
Answer:
triangular prism
Step-by-step explanation:
Which statement correctly describes the expression (-15)3?
A. One factor is positive and one factor is negative, so the product
will be negative
B. Both factors are positive, so the product will be positive.
C. One factor is positive and one factor is negative, so the product
will be positive.
D. Both factors are negative, so the product will be positive.
Answers
-15 is a negative factor
3 is a positive factor
When a negative and positive is multiplied it produces a negative answer
Can you help there is not an answer choice
Answers
Answer:
-3[tex]\frac{43}{72}[/tex]Step-by-step explanation:
chage the proper fraction to improper and then multiply
Exact Form: − 259/72
Decimal Form: − 3.5972
Mixed Number Form: − 3 43/72 (answer)
How to:
Simplify the expression.
Have a great day and stay safe !
if 5a + 9 = 5 + 3a, then 2a=
Answers
Step-by-step explanation:
5a+9=5+3a
2a=-4 is the required value
What value of x will make x1/4=3 true?
Answers
Answer:
okay so, x would be 12
Step-by-step explanation:
( if you ever see p5 (or any other variable) then that’s means you gotta multiply, so maybe imagine it like px5, p5 would just be a easier way.)
1. x times 1 divided by 4 is 3, a simpler way to put it!
x would be 12 since 12x1 is 12
2. We divide 12 by 4 which gives us a total of 3
hope this helped!
please simple answers i had state testing today
Answers
Answer:
The mode is 10. The range is 6. The IQR is 5.
Step-by-step explanation:
If D E F is similar to A B C, what is the similarity ratio of Triangle D E F to triangle A B C? Triangles A B C and D E F. Side A B is 8, B C is 6, and A C is blank. Side D E is 12, E F is 9, and D F is blank. a. 3:2 c. 3:4 b. 2:3 d. 4:3 Please select the best answer from the choices provided A B C D
Answers
Answer:
A 3:2
Step-by-step explanation:
Answer:
A 3:2
Step-by-step explanation:
A coin is flipped 160 times. It landed on heads 82 times and tails 78 times. A different coin is flipped 250 times. It landed on heads 115 times and tails 135 times. What is the empirical probability of flipping a heads on the first coin AND flipping a heads on the second coin
Answers
Answer:
a. first coin heads: 82/160
b. second coin heads: 115/250
a AND b: a x b = 82/160 x 115/250
Step-by-step explanation:
if not then im confuzzled
cual es el resultado de a+8 =12
Answers
Answer:
a+8=12
a=12-8
a=4 (cuatro)
Step-by-step explanation:
.......................
PLEASE HELP ME WITH THIS
Answers
Answer:
y<5
Step-by-step explanation:
dotted line so it's <. The original equation without inequality is y=5.
hope this helped.
PLEASE HELP ME I AM BEING TIMED, I WILL MARK BRAINLIEST FOR WHOEVER GETS THIS RIGHT, WITH AN EXTRA 10 POINTS.
Answers
Answer:
Yes table 1 is
not proportional for table 2
Step-by-step explanation:
6 for table 1
nothing for table 2
please help whoever wins gets brainliest
Answers
Another way would be cutting it into a rectangle and square.
PLease tell me how to do it that will give you brainliest
Answers
Answer: Table H would be the correct answer;
The rule of a function is that for each x-value given there can't be more than 1 y-value
In Table F:
x = -13, then y = -2
x = -13, then y = 0
x = -13, then y = 5
x = -13, then y = 7
For the x-value -13, there are 4 different y-values, so it's not a function.
In Table G:
x = -6, then y = 3
x = -1, then y = -1
x = -1, then y = 5
x = 10, then y = -9
For the x-value -1, there are 2 different y-values, hence this isn't a function.
In Table H:
x = 1, then y = 4
x = 3, then y = 4
x = 7, then y = 4
x = 12, then y = 4
For each x-value, there is only 1 y-value, so this is a function.
In table J:
x = -9, then y = -7
x = -2, then y = -5
x = 0, then y = 0
x = 0, then y = 6
For the x-value 0, there are 2 different y-value therefore this isn't a function
Hope this helps!
If you place a 32-foot ladder against the top of a building and the bottom of the
ladder is 24 feet from the bottom of the building, how tall is the building? Round to
the nearest tenth of a foot.
Please respond ASAP
Answers
Answer:21.2
Step-by-step explanation:
delta math
HELP ASAP, LINKS AND ABSURD ANSWERS WILL BE REPORTED! I WILL MARK BRAINLIEST!!
Answers
Answer:
1⅕
Step-by-step explanation:
it shows a whole box filled so that means it's a whole
the next box only has one out of five filled so it's ⅕
1⅕
One evening, Mr. Smith, Sam, and Sydney went to see the Myrtle Beach Pelicans’ Game. They each bought a ticket and a hat that cost $10 each. How much was each ticket to enter the ballpark?
Answers
Answer:
You can't answer this question without knowing the total amount of money they all had in total.
The amount that a craftsman will charge for an item depends on the
amount that he spends on materials, m, and is determined by the
equation a = 2.5 + 2.5m, where a is the amount charged for each
item. What is the value of the dependent variable, if the value of the
independent variable is 3?
Answers
Answer:
$10
Step-by-step explanation:
m is the independent variable, and a the dependent one.
If m = 3, a = 2.5 + 2.5(3) = 10
The craftsman charges $10 when m = 3.
What is the quotient of 5.76 x 10^7 and 9.0 x 10^4 expressed in scientific notation?
Answers
Answer:
6.4 x 10²
Step-by-step explanation:
1st step: divide 5.76 by 9 which is .64
2nd step: 10^7÷10^4 = 10^7-4 or 10³
PLZ HELPPPPPPPPPPPPP
Answers
Answer:
a, d
Step-by-step explanation:
Please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!!
Answers
Answer:
BC≈1.71
Step-by-step explanation:
The cosine of an angle is the adjacent side relative to that angle divided by the hypotenuse.
cos(70)=BC/5
BC=cos(70)*5≈1.71
repost on my warm up plz help
Answers
Answer:
oh srry ur not a scam
Step-by-step explanation:
Answer:
#1: (Problem 3² × 3³, Answer: 243) (Problem 3⁵, Answer: 243), yes the answer matches
#2: (Problem 2³ × 2⁴, Answer: 128) (Problem 2¹², Answer: 4096), No, the answer doesn't match.
#3: (Problem (-2)⁴ × (-2)², Answer: 64) (Problem (-2)⁸, Answer: 256), No the answer doesn't match.
#4: (Problem (-3)² × (-3)⁵, Answer: -2187) (Problem (-3)⁷, Answer: -2187), yes the answer matches
The pattern is: When 2 whole numbers raised to a power are multiplied together, the base stays the same and the exponent add up
Hope this helps!
? Help me plzzz correct answer gets brainliest
Answers
Answer:
B?
Step-by-step explanation:
im s0rry im n0t sure
mops and buckets are sold in a shop. 9 mops cost £72. the ratio of the cost of a mop to the cost of a bucket is 4:7. work out the cost of 6 buckets
Answers
Answer: 52 pound because if it’s 4:7 7 add 4 = 11 divide that by 72 gets you 52