Theo is using the Quadratic Formula to solve a quadratic equation. Which of the following is the next step for simplifying
x=−4±4√6/2
Answers
Answer: look at the picture
Step-by-step explanation:
Removing the denominator by dividing both the numerator's terms by 2 is the needed next step for simplification. The result is: x=−2±2√6
How to find the solution to a standard quadratic equation?Suppose the given quadratic equation is
[tex]ax^2 + bx + c = 0[/tex]
Then its solutions are given as
[tex]x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}[/tex]
Here, we're given the expression:
[tex]x = \dfrac{-4 \pm 4\sqrt{6}}{2}[/tex]
The next step to simplify is to make it look more simple.
[tex]x = \dfrac{-4}{2} \pm \dfrac{4\sqrt{6}}{2}\\\\x = -2 \pm 2\sqrt{6}[/tex]
Thus, removing the denominator by dividing both the numerator's terms by 2 is the needed next step for simplification. The result is: x=−2±2√6
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Related Questions
Solve the triangle. A = 46°, a = 31, b = 27
Answers
Answer:
A=46 degrees, B=33.4 degrees, C=100.6 degrees
a=34, b=27, c=48.2
Step-by-step explanation:
(a/sin(A)) = (b/sin(B)) = (c/sin(C))
we are given
(34/sin(46)) = (27/sin(B))
34sin(B) = 26sin(46)
34sin(B) = 18.702834809
sin(B) = 0.550083377
note use inverse sin function to find angle B
B = 33.372733167 approx 33.4 degrees then
C = 180 - (46 + 33.4) = 100.6
Then, (b/sin(B)) = (c/sin(C))
27/0.550083377 = c/0.982935349
0.550083377 * c = 27 * 0.982935349
0.550083377 * c = 26.539254427
c = 48.245876056 approx 48.2 .
Lastly, you get: A=46 degrees, B=33.4 degrees, C=100.6 degrees
a=34, b=27, c=48.2
Out of 469 applicants for a job, 159 have over 10 years of experience and 116 have over 10 years of experience and have a graduate degree. Step 2 of 2 : Consider that 139 of the applicants have graduate degrees. What is the probability that a randomly chosen applicant has over 10 years of experience, given that the applicant has a graduate degree? Enter a fraction or round your answer to 4 decimal places, if necessary. Answer
Answers
Answer:
[tex]\frac{116}{159} = 0.7296[/tex] probability that a randomly chosen applicant has over 10 years of experience, given that the applicant has a graduate degree.
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Has a graduate degree.
Event B: Has over 10 years of experience.
Out of 469 applicants for a job, 159 have over 10 years of experience and 116 have over 10 years of experience and have a graduate degree.
This means that:
[tex]P(A) = \frac{159}{469}[/tex]
[tex]P(A \cap B) = \frac{116}{469}[/tex]
Desired probability:
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{\frac{116}{469}}{\frac{159}{469}} = \frac{116}{159} = 0.7296[/tex]
[tex]\frac{116}{159} = 0.7296[/tex] probability that a randomly chosen applicant has over 10 years of experience, given that the applicant has a graduate degree.
PLEASE HELP 100 points I’m on a time(there’s a picture) With respect to air safety, in which year between 1966 and 1976 did the lowest number of air fatalities occur, and how
many passengers were killed in that year?
Year:1976,1974,1975
Passengers killed: 552,441,386
Answers
Looking at the column for number of passengers killed.
The lowest year was 1975 with 441 killed.
Answer:
1975
441
Step-by-step explanation:
What is the measure of m?
6
m
18
n
m
=
[?]
Answers
Hope It’s Helps & Is Correct ✌
Answer:
Step-by-step explanation:
the real answer is m=12:))
can someone please help me , i’ll give you brainliest
Answers
Answer:
Option D vertical angles is your answer ☺️☺️
Answer:
Vertical angles
Step-by-step explanation:
∠WTU and ∠STZ are opposite each other; hence they are vertical angles.
Choose the sets of equivalent expressions (select all that apply)
A. 4x and 5 + x
B. 2b + b and 3b
C. 3x and 3 + x
D. a ÷ 1/3 and 1/3 a
E. a ÷ 1/3 and a × 3
F. 1a and a
Answers
9514 1404 393
Answer:
B, E, F
Step-by-step explanation:
A. 4x and 5 + x
B. 2b + b and 3b
C. 3x and 3 + x
D. a ÷ 1/3 and 1/3 a
E. a ÷ 1/3 and a × 3
F. 1a and a
_____
Comment on the above
ax is multiplication of x by 'a'. a+x is addition. They are different operations.
x/(1/3) is not the same as x(1/3). Multiplication and division are different operations.
find the area ojefwo rgw hercpx
Answers
Answer:
3.14, radius of this circle is 1 and 1^2 is 1 and 1x3.14 is 3.14
Step-by-step explanation:
helpppppppppppppppppp
Answers
Answer:
38º
Step-by-step explanation:
the angles that are across from each other like
the 38º and <6<2 and <4<3 and <5<1 and <7are equal.
So, <6 = 38º (This is also because of the Vertical Angle Theorem / VAT)
how many quarts of pure antifreeze must be added to 6 quarts of a 40% antifreeze solution to obtain a 60% antifreeze solution
Answers
Answer:
3 quarts
Step-by-step explanation:
First, find how many quarts of antifreeze is in the mixture.
0.4 x 6 = 2.4
Now, make it into a fraction by putting the antifreeze amount over the rest so:
2.4/6
Now add + a at the end of the numerator and bottom to make:
2.4 + a/ 6 + a.
Now, turn the percentage you want to strengthen or weaken the mixture into a percentage. So, 3/5.
Now, make it an expression by adding = 3/5 at the end of the equation.
2.4 + a/ 6 + a = 3/5
Now, use cross multiplication.
12 + 5a = 18 + 3a
Now, solve the equation.
12 + 5a = 18 + 3a
-3a. -3a
12 + 2a = 18
-12. -12
2a = 6
/2. /2
a = 3.
Therefore, the answer is 3 quarts.
What is the midpoint of a segment with endpoints at (-4, -8) and (8,10)
Answers
1. An ice cream shop has 3 icecream flavors vanilla, chcooate, and strawberry. Customers can get sprinkles and no sprinkles. 10 customers come in 4 get vanilla, 4 get chocolate, and 2 get strawberry. 5 customers got sprinkles and 5 did not. Create a two way table or tree diagram.
2. write the probability that customers will buy chocolate ice cream with sprinkles.
3. probability customers with vanilla given they get sprinkles
4. Are the two options strawberry and sprinkles associated
Answers
To calculate the probability that customers will buy chocolate ice cream with sprinkles, we need to consider the number of customers who bought chocolate ice cream with sprinkles and divide it by the total number of customers who got sprinkles.
From the information given, 5 customers got sprinkles in total, and out of those 5, 4 customers got chocolate ice cream.
The probability that a customer will buy chocolate ice cream with sprinkles is 4/5 or 0.8.
To calculate the probability that customers with vanilla ice cream also get sprinkles, we need to consider the number of customers who bought vanilla ice cream and got sprinkles, and divide it by the total number of customers who got sprinkles.
From the information given, 5 customers got sprinkles in total, and out of those 5, we do not know how many got vanilla ice cream. Without that specific information, we cannot determine the probability.
From the given information, there is no direct association or connection mentioned between the options of strawberry and sprinkles.
The fact that 2 customers got strawberry ice cream and 5 customers got sprinkles does not indicate any inherent relationship or dependency between these two options.
Each customer's choice of ice cream flavor and the decision to have sprinkles or not can be considered independent choices.
For more such questions on probability
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VERY EASY, WILL GIVE 50 POINTS FOR CORRECT ANSWER ASAP AND WILL GIVE BRAINLIEST.
Answers
Answer:
I think it is the first one because its a perfect mirror to the other when rotated 90%.pls tell me if I am wrong :(
Step-by-step explanation:
Solve for x.
109= -x + 267
X=
x 5
?
Answers
Answer:
x=158
Step-by-step explanation:
109=-x+267
-267 -267
-158=-x
x=158
(also i noticed part of your question says x=(?)*5 and 31.6*5 is 158 so that would be 31.6)
In a certain school, there are 4 girls for every 5 boys. If there are 560 girls in the school, how many boys attend school?
Answers
Answer:
700
Step-by-step explanation:
4girls=5boys
560girls=?
560*5/4
=700boys
example of a 400 word essay which choosing a college
Answers
Try starting with a question.
Begin with a bold statement.
Use an interesting quote.
Put the reader in medias res, that is, in the middle of things. ...
Challenge the reader by speaking directly to him/her.
Tell the reader what you do NOT want to do in your writing.
what is 21 5/8% as a decimal
Answers
Answer: 21.625
Step-by-step explanation:
The percentage of 21 (5/8)% in decimal form is 173/800.
We have,
The percentage means the required value out of 100.
It is calculated by dividing the required value by the total value and multiplying by 100.
The given percentage expression.
21(5/8) %
Divide by 100 to remove the %.
This can be written as,
21(5/8) / 100
Now,
21(5/8)
= (21 x 8 + 5) / 8
Simply the fraction.
= 173/8
Now,
173/8 / 100
Simplify the fraction.
= 173/800
Thus,
The percentage of 21 (5/8)% in decimal form is 173/800.
Learn more about percentages here:
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help me for 20 points
Answers
Answer:
Im not so sure about the answers that i picked if you want to use them use them
Step-by-step explanation:
y=13-2x^2
y=x+7
2=y + x^5
Express the confidence interval 0.777
ộHE = +0Answers
most adult medication doses are for a person weighing 150 pounds. for a 45 pound child, the adult dose should be multiplied by 0.3. if the child's dose of a decongestant is 18 milligrams, what is the adult dose?
Answers
60 divided by 0.3 = 18
An eyewitness observes a hit-and-run accident in New York City, where 95% of the cabs are yellow and 5% are blue. A police expert believes the witness is 80% reliable. That is, the witness will correctly identify the color of a cab 80% of the time. If the cab is actually yellow, there is an 80% chance the witness will assert it is yellow, and if the cab is actually blue, there is an 80% chance the witness will assert it is blue. If a witness asserts the cab was blue, what is the probability that the cab actually was blue
Answers
Answer:
0.1739 = 17.39% probability that the cab actually was blue
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Witness asserts the cab is blue.
Event B: The cab is blue.
Probability of a witness assessing that a cab is blue.
20% of 95%(yellow cab, witness assesses it is blue).
80% of 5%(blue cab, witness assesses it is blue). So
[tex]P(A) = 0.2*0.95 + 0.8*0.05 = 0.23[/tex]
Probability of being blue and the witness assessing that it is blue.
80% of 5%. So
[tex]P(A \cap B) = 0.8*0.05 = 0.04[/tex]
What is the probability that the cab actually was blue?
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.04}{0.23} = 0.1739[/tex]
0.1739 = 17.39% probability that the cab actually was blue
Susie says that it she has a quick way to determine the least common multiple of two numbers; you just multiply the numbers. Susie checked it with 3 and 5 and with 4 and 7 and method worked both times. Is Susie’s method a valid way to determine the least common multiple of two counting numbers? Explain.
Answers
Answer:
No, it is not a valid way
Step-by-step explanation:
Required
Is Susie's method valid?
Susie's method worked because 4 & 7 and 3 & 5 do not have a common factor.
In other words, Susie's method will not work when the two numbers have a common factor.
Take for instance, the LCM of 2 and 4.
Using Susie's method, the LCM will be 8 (i.e. 2 * 4) whereas the LCM is 4.
add;200g+0.04kg=-----------dag
Answers
It's 200.04 dag
blah blah
Answer:
0.240kg
Step-by-step explanation:
the reason for this is because my teacher taught me this:
KHDMDCM
L
G
so you would go grams to kilograms and then you would find your answer because 200. +0.04 was the original equation correct so you would move the decimal in 200. back 3 times were you converted it to kilograms and the you would add so what your new equation is 0.200+0.04=0.240kg
Find the measure of the inscribed angle(real answers only please)
Answers
Answer:
46
Step-by-step explanation:
Sum of all the Arcs of a circle = 360.
So, the angle of the 3 arcs is
153 + 115 + x =360
=>268+x=360
=> x = 92
*** x = Arc FG
We know that the inscribed angle is 1/2 times the amount that of the intercepted arc.
=> Inscribed Angle = 1/2 * Intercepted Arc
=> ? = 1/2* Arc FG
=> ? = 1/2 * 92
=> Angle E = 46
Need help alegbra!!! Look at photo for question!!
Answers
Answer
74+2
Step-by-step explanation:
Can somebody help me?
Answers
Answer:
1. C 2. E 3. A 4. F 5. D 6. B
Step-by-step explanation:
Answer:
a. is 3
b. is 6
c. is 1
d. is 5
e. is 2
f. is 4
Step-by-step explanation:
Please give brainliest I worked hard on this question for you.
When the circle is filled in it means greater than or equal to or less than or equal to depending on which way its going.
If its hallow it means greater than or less than, again depending on which way its going.
A circular railroad sign has a diameter of 20 inches. what is the area of the sign in square inches
Answers
Answer:
100[tex]\pi[/tex] (or about 314)
Step-by-step explanation:
So it's a circle, meaning that the formula for area is [tex]\pi r^{2}[/tex]. r= diameter divided by 2, so r=10. plug into equation and you get 100[tex]\pi[/tex].
314 is when you round pi to 3.14 and multiply by 100.
Please answer this teachers
Answers
Answer: What are the options?
What are the options?
Step-by-step explanation:
Dont go on bit. ly/3a8Nt8n (virus warning)
SPREAD NEWS PLEASE, THANKS <3
i have no more points from saying this so please at least just one post of this
Answers
he had to take an alternate route and had to drive 15 mph slower, which make the trip
back take 7 minutes longer. How fast was he going on the way to the bookstore?
Bella, Tia, and Ron participate in a trivia contest at a book shop. Tia scores 4 points, Ron scores 3 points, and Bella scores 2 points. Each player gets a number of paperback books equal to the square of the points he or she scores. What is the total number of books the players receive?
42 × 32 × 22
42 + 32 + 22
24 × 23 × 22
24 + 23 + 22
Answers
Answer:
4(2 on top) + 3(2 on top) + 2(2 on top)
Step-by-step explanation:
tom eats 18.7% of his candy he has 300 pieces of candy how much candy does tom have left
Answers
Answer:
He has 244 left
Step-by-step explanation:
18.7% = 0.187
300(0.187) ≈ 56
300 - 56 = 244