what is the factored form of x^2 - 4 = 0
Answer:
[tex]x_{1}[/tex]=-2, [tex]x_{2}[/tex]=2
Step-by-step explanation:
hope this helps!
Help me with this question please fastttt
Mrs. brufiend wants to purchase new hiking boots. She found some at sportsman's ski Haus in Whitefish. They are on sale for 25% off the original price of 149. Their is a state tax of 3%. What's the final cost.
Answer:
Step-by-step explanation:
Why do we need complex numbers, what are conjugates, and why do we need them
I guess I can give a brief overview and then you can decide if I should go deeper into these meaning and use.
Complex numbers are useful because in a lot of cases we need to use the square root of a negative number. Ex.
Solve the quadratic equation x^2+x+1=0
We have to use the quadratic formula since its not factorable.
x=[-1+-sqrt(1-4*1*1)]/2
x=-1/2 + or - sqrt(-3)
If we don't have imaginary numbers, we would be stuck because sqrt(-3) wouldn't exist as you cannot take the square root of a negative number.
But with complex numbers we can actually get the answer for that equation as
x=-1/2 + or - sqrt3*i
Which would give us a mean of using this answer to calculate further to get other needs depending on the problem you are solving. If complex number is not a thing, about half of our equations will have undefined answers.
Now conjugates is a more interesting one, on the surface level we are discussing here there is not much its used for except if you have a complex number as a root of a quadratic equation, then the conjugate of that complex number must also be a solution. Again if you want me to go a more in depth just comment down below, because I could write an entire essay on this topic :-)
Question 4
4 pts
You roll 2 fair 6-sided dice. What is the probability of rolling a sum of 7 or more?
18/36 or 1/2
20/36 or 5/9
19/39
21/36 or 7/12
Answer:
here we have rolled two dice. So total no. of possible outcomes will be 6^2=36. These are (1,1),(1,2),(1,3),(1,4),(1,5),(1,6),(2,1),(2,2),(2,3),(2,4),(2,5),(2,6),(3,1),(3,2),(3,3),(3,4),(3,5),(3,6),(4,1),(4,2),(4,3),(4,4),(4,5),(4,6),(5,1),(5,2),(5,3),(5,4),(5,5),(5,6),(6,1),(6,2),(6,3),(6,4),(6,5),(6,6).
Now, among these cases the cases where the sum is seven for (1,6), (2,5), (3,4), (4,3), (5,2), (6,1) i.e. there are 6 cases.
Now, it is time to calculate the probability.
The required probability is,
p = (No. of cases favorable for the event)/(Total no. of cases)
=6/36 =
Step-by-step explanation:
Two fair six-sided dice are rolled. What is the probability that the sum of the two dice is seven?
Which of the following results in the difference of two squares?
a. (7x - 3y)^2
b. (4x - 9y)(4x - 9y)
c. 5x^2(4x - 3)
d. (2x + 8y)(2x - 8y)
Answer:d
Step-by-step explanation:
In a sports meet, Sonam's team completes the run at 40 seconds during heat events. On championship day, his team completes the same run at 45 seconds. What is the percentage difference in the completion time from the best completion time? A. 10.5% B. 12.5 % C. 15.5 % D. 20.5 %
Answer: B. 12.5 %
Step-by-step explanation:
GIven: Best completion time = 40 seconds
completion time of other members = 45 seconds
The percentage difference in the completion time from the best completion time = [tex]\dfrac{difference}{Best\ completeion\ time}\times100[/tex]
[tex]=\dfrac{45-40}{40}\times100\%\\=\dfrac{5}{40}\times100\%\\\\=12.5\%[/tex]
Hence, the correct option is B. 12.5%.
The percentage difference in the completion time from the best completion time is 12.5%.
What is Percentage?A percentage is a way to describe a part of a whole. such as the fraction 1/4 can be described as 0.25 which is equal to 25%.
To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.
As it is that Sonam's team completes the run at 40 seconds during heat events while on the championship day, his team completes the same run at 45 seconds. Therefore, the difference can be written as,
[tex]\rm Difference =45\ sec -40\ sec=5\ sec[/tex]
Now, as we want to know the percentage difference in the completion time from the best completion time, therefore, we can write,
[tex]\text{Percentage Difference}=\dfrac{\text{Difference}}{\text{Best completion time}} \times 100[/tex]
[tex]=\dfrac{5}{40}\times 100\\\\=12.5\%[/tex]
Hence, the percentage difference in the completion time from the best completion time is 12.5%.
Learn more about Percentage:
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Jo sold 132 mugs. One quarter of the mugs were small. The rest were large. How many small mugs did Jo sell? * 1 point
Answer:
33 small mugs
Step-by-step explanation:
Given:
Total number of mugs sold by Jo = 132
One quarter of the mugs were small. The rest were large.
To find: Number of small mugs sold by Jo
Solution:
Number of small mugs sold by Jo = [tex]\frac{1}{4}[/tex] (Total number of mugs sold by Jo)
Therefore,
Number of small mugs sold by Jo [tex]=\frac{1}{4}(132)=33[/tex]
answer both for a brainlist and a thanks!!! pls help
Answer:
for the first one : 0.91 or 0.916 either one
for the second answer : 1 11/20
Step-by-step explanation:
Here is the explanation for the second question>>>To find the total of 3/4 and 4/5 is to add them together. However, in order to add them together you need to find the least common denominator (LCD). And the LCD of both denominators would be 20, because that is the smallest number both 4 and 5 can divide into. And here is the tricky part, now you have to change the numerators. So since 3/4th's now has a denominator of 20 you have to make the 3 match the 20. So 4 times what it 20? It is 5. So now multiply 5 by three and that will give you 15/20, which can reduce to 3/4 which means that you did this correctly! Now repeat the same steps with 4/5:
4/5=4/20
20÷5=4
4•4=16
16/20 (16/20 can reduce to 4/5 which means you did this correctly.
Now to add them keep the denominators the same and only add the numerators:
15/20 + 16/20 = 31/20
Now this as a mixed number would be 1 11/20. I hope this was helpful!
Answer:
1.) 1 1/12
2.) 1 11/20
Step-by-step explanation:
5/6+1/4
convert to common denominators
5/6 x 2/2 = 10/12
1/4 x 3/3 = 3/12
10/12+3/12=13/12
Convert to a mixed number
1 1/12
3/4+4/5
convert to common denominators
3/4 x 5/5 = 15/20
4/5 x 4/4 = 16/20
15/20+16/20=31/20
Convert to a mixed number
1 11/20
The first quartile of a data set is 31, and the third quartile is 47. Which of these values in the data set is an outlier?
A) 8
B) 28
C) 63
D) 73
Answer: a.83
Step-by-step explanation:
apoooxe
Please help will give Brain!
Answer:
its 4 :)
Step-by-step explanation:
heyyy please give me brain i really am thankfull if you do and
also have a nice day hope this help and thank you very much.
Task 13 please help I will mark as brainliest
Answer:
the first one
Step-by-step explanation:
it gives you 3-x=3-x
Please solve number 16 for me.
Answer:
post pictures also for your answer
8. Madison uses 54 beads to make one necklace. If Madison has 2,185 beads, how many necklaces can she make and how many beads would be left over?
A. 40 necklaces with 15 beads left over
B. 40 necklaces with 25 beads left over
C. 42 necklaces with 17 beads left over
D. 42 necklaces with 27 beads left over
Answer:
B) 40 necklaces with 25 left over
Step-by-step explanation:
Please Help for brainliest and points
Reflect square JKLM with J(1, 4), K(6, 5), L(7, 0) and M(2, -1) in the y-axis. What are the coordinates of M'?
Given:
Reflect square JKLM with J(1, 4), K(6, 5), L(7, 0) and M(2, -1) in the y-axis.
To find:
The coordinates of M'.
Solution:
We have, M(2, -1) .
If a figure reflected over the y-axis then
[tex](x,y)\to (-x,y)[/tex]
Using this rule, we get
[tex]M(2,-1)\to M'(-2,-1)[/tex]
Therefore, the coordinates of point M' are (-2,-1).
I HATE when people answer the question and think its right but its not and give themselves 5 star but its wrong and take my points dont answer if you dont know
Answer:
Factsssssssssssssssssssssssssssssssssss
Step-by-step explanation:
1) don't do it
slope = -1/5 and y intercept = 1
Answer:
x−y+4=8
4x−5+y=0
7x+y=0
OR
6x−3y=12
6x+2y=8
x+6y=5
Step-by-step explanation:
honestly idrk what the question is here but there are some examples as if on a table! Hope this helped!!
I need help I dont know how to do it
Answer:
I put the answers in the picture below!
Step-by-step explanation:
HELP ME PLZZZZZZZZZZZZZZZZZ
Answer:
4
Step-by-step explanation:
Have a nice day!
I need help!! i don't understand this
Answer:
33
Step-by-step explanation:
Carly tried to evaluate the expression 24÷(4×2-5)
Answer:
24÷( 4×2-5)
= 24÷(3)
=8
I believe this is the only way to evaluate this expression. Hope it helps.
Please help me with this question!!
Mario had $35 but then spent $m
Answer:
how much did he spend
Step-by-step explanation:
Tell whether each equation has no solution, one solution, or infinitely many solutions.
3x-12=3x+1
I need help asap with this
Answer:
51°
Step-by-step explanation:
Given
<QPR = 39°
<PQR = 90° ( inscribed angle in semi circle)
Now
<QPR + <PQR + <PRQ = 180° { being sum of angles of triangle)
39° + 90° + <PRQ = 180°
<PRQ = 180° - 39° - 90°
<PRQ = 51°
Hope it will help :)
explain what happens when a transversal has intersected a set of parallel lines.
Answer:
Different angles are formed
Step-by-step explanation:
i) Alternate angles are formed
Alternate interior angles are the angles formed when a transversal intersects two parallel lines.
ii)corresponding angles are formed
When two parallel lines are crossed by another line (which is called the Transversal), the angles in matching corners are called corresponding angles.
what is y=x+4 as an ordred pair
Answer:
(0,4), (1,5), (2,6)
Hope this helps
"a circle centered at the origin has a radius of 12. what is the equation of the circle?
Answer:
12 = x^2 + y^2
PLEASE BRAINLIEST?!
The equation of the circle centered at the origin has a radius of 12 is x² + y² - 144 = 0.
What is radius?The circle has a diameter, the whole circumference of the circle, so the radius is the half of the diameter.
The radius of the circle given 12.
All the points on the circle you're looking for have a distance from the origin of 12/ A point's distance from the center is
The equation will be
[tex]\rm d = \sqrt{x^2 + y^2} \\\\ 12 = \sqrt{x^2 + y^2}\\\\12^2 = x^2 + y^2\\\\x^2 + y^2 - 144 = 0[/tex]
Thus, the equation will be [tex]\rm x^2 + y^2 - 144 = 0[/tex]
Learn more about radius
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if m<y=(2x-3)°,m<z=(13x-41)°, and <a is a straight angle, find the sum of the measures of the two angles.
Answer:
[tex]Sum = (15x - 44)^{\circ}[/tex]
Step-by-step explanation:
Given
[tex]\angle y = (2x - 3)^{\circ}[/tex]
[tex]\angle z = (13x - 41)^{\circ}[/tex]
Required
Calculate the sum of the two angles
[tex]Sum = \angle y + \angle z[/tex]
[tex]Sum = (2x - 3)^{\circ} + (13x - 41)^{\circ}[/tex]
Collect Like Terms
[tex]Sum = (2x +13x)^{\circ} - (3+ 41)^{\circ}[/tex]
[tex]Sum = (15x)^{\circ} - (44)^{\circ}[/tex]
[tex]Sum = (15x - 44)^{\circ}[/tex]
Hence, the sum of the two angles is 15x - 44