Answers
Answer:
x= 1 ±√21/3
x= 2.52753
x= - 0.527525
Step-by-step explanation:
-(-6) ±√-6² - 4 (3) (-4) / 2(3)
6±√36 -(-48) / 6
6±√84/6
6±2√21/6
6/6 ±2√21/6
1±√21/3
1+ √21/3 = 2.52753
1-√21/3= - 0.527525
Step-by-step explanation:
[tex]3x ^{2} - 6x - 4 = 0[/tex]
[tex]by \: quadratic \: formula[/tex]
[tex](-b±√(b²-4ac))/(2a) [/tex]
[tex] - ( - 6)±√( - 6²-4(3)( - 4) /(2 \times 3) [/tex]
[tex](6±√(36 + 48)/(6) [/tex]
[tex](6±√(84)/(6) [/tex]
[tex](6±2√21)/6[/tex]
[tex]2(3±√21)/6 [/tex]
[tex]3±√21/3[/tex]
[tex]let \: \alpha \: and \: \beta \: be \: two \: roots \: .[/tex]
[tex]3 + \sqrt{21} /3[/tex]
[tex]3 + 4.58/3[/tex]
[tex]7.48/3[/tex]
[tex]2.52[/tex]
[tex]and \: second \: root \: = 3 - \sqrt{21} /3[/tex]
[tex]3 - 4.58/3[/tex]
[tex] - 1.58/3[/tex]
[tex] - 0.52[/tex]
[tex]so \ \: alpha = 2.52 \: and \: \beta = - 0.52[/tex]
Related Questions
Please help me I need ASAP please please help me please please help please
Answers
Answer:
3
Step-by-step explanation:
i am so sorry if i am not correct
Nathan usually drinks 37 ounces of water per day. He read that he should drink 62 ounces of water per day. If he starts drinking 62 ounces, what is the percent increase? Round to the nearest percent.
Answers
Answer:
68%
Step-by-step explanation:
The increase is (62 - 37), or 25, ounces. Comparing this to the original quantity (37 oz), we divide 25 oz. by 37 oz., obtaining 0.676 (a ratio). Multiplying this ratio by 100%, we get 68% (to the nearest percent).
The weights in pounds of five cats are 12, 14, 12, 16, and 16. Find the mean, median, mode, and range of the data set.
Answers
Answer:
Mean: 14
Median: 14
Mode: 12, 16
Good luck!
what is the volume of the prism
Answers
Answer:
600
Step-by-step explanation:
multiply w l h
10 x 5=50
50 x 12=160
When calculating the discriminant if your answer was 16, what does that say about your roots?
Answers
Answer:
Your roots are equal to 16
Help me with this pls
Answers
A triangle has sides with lengths of 20 centimeters, 48 centimeters, and 54 centimeters. Is the triangle a right triangle?
Answers
What is the area of a triangle that has a height of 6 ft and a base length of 7 feet?
Answers
Answer: 21ft
Step-by-step explanation:
Answer:
the area of triangle is height ×base
6×7=42
i think this is the answer
Write an equation of the line in slope-intercept form. (0,2) (3,3)
Answers
i dont see an image
Step-by-step explanation:
Answer: y = 1/3x +2
Step-by-step explanation:
The slope-intercept form of an equation looks like this:
y=mx+b
The m stands for the slope and the b stands for the y-intercept. We need two points on the line to write out this equation.
We have the two points you entered, so let's start by getting the slope. (1/3)
Now that we have the slope, we can plug it into our equation: y = 1/3x+b
To get b, our y-intercept, we just need to plug in one of the points you entered and solve. Now that we have both our m and b values, we can plug them in to get our equation: Y= 1/3x+2
Hope it helps.
PLEASE !!! HELP D: lord pls
Answers
Answer:
the answer is 4 have a nice day
simplify (2x+1)(x+8) - (x-3)(2x+1)
Answers
Answer:
22x+11 is your answer
Step-by-step explanation:
(2x+1)(x+8) - (x-3)(2x+1)
(2x+1)(x+8-x+3)
(2x+1)(11)
=22x+11
PLLLZZ HHEELLPPP! QUESTION IS BELOW!
Answers
Answer:
32°Step-by-step explanation:
The two given angles are complementary, it means they add to 90°Find x:
2x + 10 + x + 8 = 903x + 18 = 903x = 72x = 24Find Y:
m∠Y = x + 8 = 24 + 8 = 32°Karley added 14 bottle caps to her collection. She
now has 54 boule caps. Write and solve an equation to
find the number of bottle caps she originally had.
PLEASE ANSWER !!
Answers
Answer:
54 - 14 = 30
Step-by-step explanation:
7/8 ÷ 7/16 = Reduce your answer to the lowest terms.
Answers
You just divide and reduce
Find the value of x! First person to correctly respond gets brainliest!!
Answers
Answer:
180-33 = 147
Step-by-step explanation:
what is x? plz help :)
Answers
Answer:
13
Step-by-step explanation:
using the Pythagorean theorem a²+b²=c²
or the two shorter sides square added together equal the longest side squared
5²+12²
5²=25
12²=144
144+25=169
then we just have to take the square root of 169
√169=12
have a great day :D
simplify (2x)^1/3 times (2x)^4/3
Answers
Answer:
2x^5/3
Step-by-step explanation:
Answer:
32x small 5
9 32x small 5 over 9
Step-by-step explanation:
What factor is represented by the yellow shading in the model? [Hint: Include the overlapping area.]
Answers
Answer:
[tex]Fracton = \frac{1}{6}[/tex]
Step-by-step explanation:
Given
See attachment
Required
The fraction of yellow
From the attached image:
[tex]Yellow = 5[/tex]
[tex]Total = 30[/tex]
So, the fraction is:
[tex]Fracton = \frac{Yellow}{Total}[/tex]
[tex]Fracton = \frac{5}{30}[/tex]
Divide by 5/5
[tex]Fracton = \frac{1}{6}[/tex]
Answer: 4/5
Step-by-step explanation:
Rename 5/6 and 14/15 using the least common denominator.
Answers
Answer:
25/30 and 28/30
Step-by-step explanation:
1. To find the least common denominator, you need to find the least common multiple of the two denominators which are 6 and 15. Prime factorization of these numbers gives:
6 = 2 x 3
15 = 5 x 3
A number that would evenly divide both 6 and 15 must contain 2 x 3 x 5 which is 30.
Thus 30 is the least common denominator.
2. Now we need to somehow change both fractions to make them have a denominator of 30. To do this we can multiply by fractions with same numerator and denominator since that would be like multiplying by 1.
So, 5/6 x 5/5 = 25/30
And 14/15 x 2/2 = 28/30
Answer:
25/30 and 28/30
Step-by-step explanation:
answer for the plato mastery test
50 points Help Please!!!! Solving angle word problems with complementary and supplementary angles
Will give brainliest and 20 points!!!!!!
Answers
7 meters
Step-by-step explanation:
Rob can mop a warehouse in 10 hours. Maria can mop the same warehouse in 11 hours. Find how long it would take them if they worked together.
Answers
Answer:
It would take them [tex]\frac{110}{21}[/tex] or approximately 5.24 hours together
Step-by-step explanation:
Use the algebra work formula, [tex]\frac{1}{tb}[/tex] = [tex]\frac{1}{t1}[/tex] + [tex]\frac{1}{t2}[/tex], where tb is the time together, t1 is the time of one person individually, and t2 is the time of the other person.
Plug in 10 and 11:
[tex]\frac{1}{tb}[/tex] = [tex]\frac{1}{t1}[/tex] + [tex]\frac{1}{t2}[/tex]
[tex]\frac{1}{tb}[/tex] = [tex]\frac{1}{10}[/tex] + [tex]\frac{1}{11}[/tex]
Find the common denominator, then add the fractions together:
[tex]\frac{1}{tb}[/tex] = [tex]\frac{11}{110}[/tex] + [tex]\frac{10}{110}[/tex]
[tex]\frac{1}{tb}[/tex] = [tex]\frac{21}{110}[/tex]
Cross multiply and solve for tb:
110 = 21tb
5.24 = tb
So, it would take them [tex]\frac{110}{21}[/tex] or approximately 5.24 hours together
The determinant of the matrix
Answers
Answer:57
Step-by-step explanation:
(7 x 9) - (-3 x -2) = 57
10 minutes to answer
Write an expression equivalent to
4 - (-7)
help
Answers
You spent $145 purchasing 3 student tickets and 7 adult tickets. Adult tickets cost $5 more than a student ticket. Find the cost of a student ticket. Find the cost of an adult ticket.
Answers
Answer:
$11 and $16
Step-by-step explanation:
let x be the cost of a student ticket then an adult ticket is x + 5 , then
3x + 7(x + 5) = 145 , that is
3x + 7x + 35 = 145
10x + 35 = 145 ( subtract 35 from both sides )
10x = 110 ( divide both sides by 10 )
x = 11
Student ticket costs $11 and adult ticket = x + 5 = 11 + 5 = $16
HELP I WILL MARK YOU GOOD
Answers
Answer:
You have a 2/3 chance
Answer:
2/3
Step-by-step explanation:
when you spin twice you either get a KK, KV, KH, VK, VV, VH, HK, HV, HH.
so the probability of getting a K and a K is 1/3 plus 1/3 to get your answer as 2/3.
Given that
[tex]2 {}^{x} = 0.125[/tex]
Find x
Answers
ln(2^x)=ln(.125)
Xln(2)=ln(.125)
X=ln(.125)/ln(2)
X=-3
ALTERNATIVE ROUTE:
You know that 0.125 is equal to 1/8
And 1/2^3 is also equal to 1/8
So since you need the reciprocal to match it the exponent is a negative
Answer:
x = -3.
Step-by-step explanation:
2^x = 0.125
Taking logs:
x ln 2 = ln 0.125
x = ln 0.125 / ln 2
x = -3
Please help I’m struggling
Answers
m=4
m=18
j=38
n=5
hope this helps!
What is the x-intercept for (-4,-4), (2,-2)
Answers
1
The rate of population decline of Seaside
Harbor is modeled by the equation
-0.00810
P(t)=15000e
where t is the time
in years and 15,000 is the current
population. In approximately how many
years will the population of Seaside
Harbor be 9,000?
Answers
(−0.0081p)(t)=(15000)(2.718282)
Step 1: Divide both sides by -0.0081t.
−0.0081pt
−0.0081t
=
40774.227427
−0.0081t
p=
−40774.227427
0.0081t
Answer:
p=
−40774.227427
0.0081t
I need some help on this if possible
Answers
where C is the circumference, d is the diameter and r is the radius.
The diameter of a circle is a line segment that passes through the center of the circle and has its endpoints on the circle. The radius of the circle is a line segment from the center of the circle to a point on the circle. The diameter of a circle is twice the length of its radius.
If you are given the diameter then use the formula C = πd
If you are given the radius then use the formula C = 2πr
Step-by-step explanation: