Answers
9514 1404 393
Answer:
a) (-5±√10)/3 ≈ {-2.721, -0.613}
b) (6±√21)/5 ≈ {0.283, 2.117}
Step-by-step explanation:
a) The relevant coefficients are ...
a = 3, b = 10, c = 5
[tex]x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x=\dfrac{-10\pm\sqrt{10^2-4\cdot3\cdot5}}{2\cdot3}=\dfrac{-10\pm\sqrt{40}}{6}\\\\\boxed{x=\dfrac{-5\pm\sqrt{10}}{3}\approx\{-2.721, -0.613\}}[/tex]
__
b) The relevant coefficients are ...
a = 5, b = -12, c = 3
[tex]x=\dfrac{-(-12)\pm\sqrt{(-12)^2-4\cdot5\cdot3}}{2\cdot5}=\dfrac{12\pm\sqrt{84}}{10}\\\\\boxed{x=\dfrac{6\pm\sqrt{21}}{5}\approx\{0.283, 2.117\}}[/tex]
Related Questions
PLEASE HELP, MARKING BRAINLIEST!!!!
If 30/t = 18/r, then t/r =
Answers
Answer:
5/3
Step-by-step explanation:
30/t = 18/r
Multiplying by r both sides,
30*r /t = 18
Dividing by 30 both sides,
r/t = 18/30 = 3/5
So, t/r = 5/3
9514 1404 393
Answer:
t/r = 5/3
Step-by-step explanation:
Every proportion can be written 4 ways. I like to think of them as "upside down and sideways." They are ...
[tex]\dfrac{30}{t}=\dfrac{18}{r}\qquad\dfrac{t}{30}=\dfrac{r}{18}\\\\\dfrac{30}{18}=\dfrac{t}{r}\qquad\dfrac{18}{30}=\dfrac{r}{t}[/tex]
__
Knowing this, you can simply rewrite your proportion as ...
t/r = 30/18
t/r = 5/3
_____
More formally, you could multiply both sides by t/18:
(30/t)(t/18) = (18/r)(t/18)
30/18 = t/r . . . . as above
Reducing the fraction gives ...
t/r = 5/3
__
Additional comments
The usually-recommended procedure for solving something like this is to "cross-multiply" as a first step. That will give ...
30r = 18t
Of course, that is equivalent to multiplying both sides by rt, the product of the denominators.
From here, to get t/r, you need to divide both sides by 18r.
(30r)/(18r) = (18t)/(18r)
30/18 = t/r
The combination of the two steps, multiply by rt, divide by 18r, is equivalent to multiplying by (rt)/(18r) = t/18, as we did above. That is, you can save some work by doing both steps at once--or by simply rewriting the proportion.
Find the slope between these two points:
(-5,3) and (4,6)
Answers
Answer:
I believe it is m=1/3.
Step-by-step explanation:
Answer:
11 I believe
Step-by-step explanation:
2. In the real-world, humans hear sound as an analog signal. This means the signal is a continuous
waveform, which is completely processable by human ears. However, machines 'hear' sound a little
differently, as they process sound digitally, which is a discrete waveform.
When sound is recorded or transmitted electronically, the continuous (analog) waveform is sampled to
convert it to a discrete (digital) sequence. Sampling is the process of reducing a continuous-time signal
to a discrete-time signal. As the sampling rate increases, the sound quality of the recording or
transmission will improve.
The graphs below represent two different samples of a pure tone. Sample 1 is taken 8 times per unit of
time. Sample 2 is taken 16 times per unit of time.
a) why would sample 2 reproduce a better replication of the pure signal?
b) write a sinusoid model for sample 2.
Answers
Answer:
a) Sample 2 records at a more frequent rate, so compared to 1 it's a continuous waveform.
b) y = 7.75 • cos(π/8(x))+7.75
Step-by-step explanation:
that other guy wasn't very nice for not giving the answer, screw him
Roberto has $200 in spending money. He wants to buy some video games that cost $25.50 each. Write and solve an inequality to find the number of games that Roberto can buy.
Answers
Step-by-step explanation: Each game is $25.50 which in math means it has an "x"
So if x=1 then 25.50x says that 1 video game is $25.50
Set up the equation:
200 = 25.50x (divide both sides by 25.50 to isolate the x)
200/25.50 = 7.84
x = 7.84
You can't have 0.84 of a video game, so Roberto can only buy 7 of them. The answer is correct good job!
The number of games that Roberto can buy [tex]\boldsymbol{8}[/tex] video games.
"To understand the calculation, check below."
Solve an InequalityWhen two values are compared, an inequality shows whether one is less than, greater than, or simply not equal to the other.
It's a relation that compares two integers or other mathematical expressions in a non-equal way.
Total amount with Roberto [tex]=\$ 200[/tex]
Let [tex]x[/tex] denotes number of games that Roberto can buy.
Cost of each video game [tex]=\$25.50[/tex]
So,[tex]25.50x\leq 200\\x\leq 7.8[/tex]
Therefore, Roberto can buy [tex]\boldsymbol{8}[/tex] video games.
Find out more information about inequality here:
https://brainly.com/question/18929468?referrer=searchResults
This equation represents the data:
2.5(12.75x + 24.50) = 188.75
Big Time Movers worked
hours on New Year’s Day.
Answers
Answer:
the answer is 4
Step-by-step explanation:
i just did it on edge
Answer:4
Step-by-step explanation:
Nine of the Twenty-five girls on Albert Einstein Middle School's soccer team are sixth-grade students. Find the percentage of sixth graders on the team. Show two different ways of solving for the answer.
Answers
Given :
Nine of the Twenty-five girls on Albert Einstein Middle School's soccer team are sixth-grade students.
To Find :
Find the percentage of sixth graders on the team.
Solution :
Let, percentage of sixth graders be P.
So,
[tex]P=\dfrac{9}{25}\times 100\\\\P=36\%[/tex]
Therefore, percentage of sixth graders on the team is 36% .
Hence, this is the required solution.
Which line is perpendicular to y = 1/2 x + 6? .
Answers
Answer:
y=-2x+b
Step-by-step explanation:
1/5 multiplied by what number will result in a product of 1/10
Answers
Answer:
1/2
Step-by-step explanation:
Ricardo has just taken over his parents' restaurant. He knows after working there for many years that one of the major concerns among employees is competitive pay. Specifically, Ricardo's servers think that they are paid less than servers in similar restaurants.
To help investigate this issue, Ricardo employs a company that specializes in gathering data about pay rates for similar positions across the state. The company provides Ricardo with the following box-and-whisker plot.
Ricardo's goal is to provide his servers with competitive pay compared to other restaurants in the state. He currently pays his servers hourly rates ranging from $8.50 to $11.50, depending on experience and seniority. His median server pay is $8.83. Based on what he sees in the plot above, which of the following is an appropriate conclusion for Ricardo?
A.
Ricardo's median is consistent with the state median. Ricardo should leave his servers' pay as it is.
B.
Most of Ricardo's servers are paid more than the state median. Ricardo should leave his servers' pay as it is.
C.
Ricardo's minimum, maximum, and median are all significantly less that those of the state. Ricardo should increase his servers' pay.
D.
Almost half of other servers across the state make more than the highest paid of Ricardo's servers. Ricardo should increase his servers' pay.
Answers
Answer:
D
Step-by-step explanation:
D
Can u answer and I will give brainliest can u solve them
Answers
Answer:
i dont see the answer can u resend the picture clearly?
Step-by-step explanation:
Answer:
59.4÷3 is 19.8 the other one i cannot see
2b-3/b-2 = 3b/b+2 ... Solutions by cross multiplying
ANSWER > 1, 6
- Neither 1 or 6 are extraneous
Answers
Step-by-step explanation:
(2b-3)/(b-2)(b+2) = 3b(b-2)/(b+2)(b-2)
2b²+4b-3b-6/b²-4=3b²-6b/b²-4
2b²+b- 6= 3b²-6b
move square to square unknown to unknown
-b²+7b-6/b²-4
i also dk this is true or false
m=3 through (-1,-4) ............ (slope intercept equation)
Answers
Answer:
y=3x-1
Step-by-step explanation:
The temperature in the morning was -2 degrees. The temperature is dropping at a constant rate, and 4 hours later the temperature is now -22 degrees. How many degrees did the temperature change each hour?
Answers
Given:
Temperature in the morning = -2 degrees.
Temperature is dropping at a constant rate.
Temperature after 4 hours = -22 degrees.
To find:
The rate of change of temperature.
Solution:
Let y be the temperature after x hours from the morning.
Temperature in the morning is -2 degrees. It means, the ordered pair is (0,-2).
4 hours later the temperature is now -22 degrees. It means, the ordered pair is (4,-22).
Now, formula for average rate of change or slope is
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m=\dfrac{-22-(-2)}{4-0}[/tex]
[tex]m=\dfrac{-22+2}{4}[/tex]
[tex]m=\dfrac{-20}{4}[/tex]
[tex]m=-5[/tex]
Therefore, the change in temperature is -5 per hour. It means the permutate is decreasing by 5 degrees per hour.
Which statement is true about letter o?
Answers
Answer:
its perfectly round
Step-by-step explanation:
Help pls hw 14 and 15 mostly those the rest I’ll do
Answers
Answer:
Answer 14
Step-by-step explanation:
answer 37.38
WILL GIVE BRAINLYIST
What is the first step in converting 139,000,000,000,000,000 to a scientific notation?
Move the decimal after the number 1.
O Move the decimal after the number 9.
O Drop all of the zeroes following the number 9.
O Count the number of positions to move the decimal place.
Answers
Answer:
i think it is Move the decimal after the number 1.
Step-by-step explanation:
it the text it says
"To convert our example, 602,200,000,000,000,000,000,000, into a scientific notation, the first step is to place a decimal after the digit 6, and then drop all the zeros after the 2. This will leave us with a coefficient of 6.022. Next, to find the exponent, count the number of times you had to move the decimal point until it landed after the first digit of the coefficient. The answer is 23; therefore, the scientific notation is 6.022 x 1023. In cases where the numbers are multiples of 10, only the base number 10 and the exponent can be used. For instance, the number 1,000,000,000, can be written as 109. Now you try it. What is the scientific notation for a light year, which has been estimated at 9,500,000,000,000 km? As you read the information in this lesson, challenge yourself by converting the large numbers into scientific notations."
Awnser:
(C) Move the decimal after the number 1.
Step-by-step explanation:
The correct answer is Move the decimal after the number 1. The first step in converting a large number to a scientific notation is to determine the coefficient, which is always greater than 1 and less than 10.
THIS 50 POINTS ANSWER FAST. Graph two lines whose solution is (1,4) give me the 2 of the equations. For the graphs go to Desmos. Answer fast.
Answers
Answer:
The graph is shown below.
Step-by-step explanation:
Which situations accurately describe a ratio of 5/8 ? Select all that apply. Tobias picked five daisies and eight roses. Sally found five green fruit loops in her cereal bowl, out of every thirteen pieces. Aly painted eight trees for every three birds. For every eight shots, Micah made five basket
Answers
The ratio of Tobias picked five daisies and eight roses will be 5/8. Then the correct option is A.
What are ratio and proportion?A ratio is a collection of ordered integers a and b represented as a/b, with b never equaling zero.
The ratio is 5/8.
Tobias picked five daisies and eight roses.
Then the ratio will be 5/8.
Sally found five green fruit loops in her cereal bowl, out of every thirteen pieces.
Then the ratio will be 5/13.
Aly painted eight trees for every three birds.
Then the ratio will be 8/(3 × 8) or 1/3.
For every eight shots, Micah made five baskets.
Then the ratio will be 8/5.
Then the correct option is A.
More about the ratio link is given below.
https://brainly.com/question/14335762
#SPJ1
17th Street Surf shop buys t-shirts wholesale for $5 each. They sell them after a mark p of 75%. Find the amount of mark up and the retail price. markup price: retail price: please help me
Answers
Given:
Wholesale price = $5
They sell them after a markup of 75%.
To find:
The amount of mark up and the retail price.
Solution:
We have,
Wholesale price = $5
Markup% = 75%
[tex]Markup=5\times \dfrac{75}{100}[/tex]
[tex]Markup=5\times 0.75[/tex]
[tex]Markup=3.75[/tex]
Now,
Retail price = Wholesale price + Markup
[tex]\text{Retail price}=5+3.75[/tex]
[tex]\text{Retail price}=8.75[/tex]
Therefore, the markup price is $3.75 and retail price is $8.75.
PLEASE HELP ASAP!!! IL AMRK BRAINLEST
Answers
Answer:
56
Step-by-step explanation:
The reason why it says 6 is because when u do 3 x 2 u get 6.
| | represent absolute value which turns the negative answer into a positive answer.
Doing PMDAS u multiply first then add and subtract.
The gas Station has pecans for $1.60 per pound and walnuts for $2.20 per pound how much walnut must be added to 5 pounds pecans to make a mixture to be sold at two dollars per pound solve
Answers
Answer:
10 pounds of walnutsStep-by-step explanation:
step one:
given data
pecans sell for $1.60 per pound
walnuts sell for $2.20 per pound
mixture sells for $2 per pound
Required: the amount in pounds of walnuts
Step two:
let he amount in pounds for the walnuts be x pounds
the amount in pounds of the mixture is
(5+x ) pounds
The cost of the mixture is
5*1.6 +x*2.2 = 2(5+x)
solve for x
8+2.2x=10+2x
collect like terms
8-10=2x-2.2x
-2=-0.2x
rearrange
0.2x=2
divide through by 0.2
x=2/0.2
x=10 pounds of walnuts
what's a good app for ios 14 to customize your apps?
Answers
Answer:
Color Widegts
Widetsmith
Shortcuts + add shortcut (to change the icon) I think
Step-by-step explanation:
Answer:
Look down!!
Step-by-step explanation:
5 Apps to Help You Customize Your Phone's Home Screen With iOS 14
Color Widgets. Make your home screen a beauty with Color Widgets, which allows you to choose from hundreds of premade widgets or create your own.
1. Widgetsmith
2. Shortcuts
3. Timepage
4. Carrot
Hope this helps!!
PLEASE HELP, WILL MARK BRAINLIEST
Click on the graph to choose the correct one.
Graph the function y from:
y=x^2-16/x+4
Answers
Answer:
It is the 4th graph
Step-by-step explanation:
24 students took an algebra test, if 18 students passed the test, what percent passed
Answers
Answer:
75%
Step-by-step explanation:
24 students
divide 18/24
= 0.75
move the decimal point 2 places to the right
= 75
add a percent symbol
= 75%
hope this helped ! brainliest ?
Durante uma atividade de Matemática, professora Julieta distribuiu a cada um de seus alunos 4 canudinhos com medidas 2 cm, 3 cm, 7 cm e 8 cm. Nessa atividade, os alunos de Julieta tinham que construir triângulos com esses canudinhos, sem cortá-los.
Quantos triângulos distintos cada um dos alunos de Julieta puderam formar com esses canudinhos?
Answers
Answer:
2 different trianglesStep-by-step explanation:
During a mathematics activity, teacher Julieta distributed to each of her students 4 straws measuring 2 cm, 3 cm, 7 cm and 8 cm. In this activity, Julieta's students had to build triangles with these straws, without cutting them. How many different triangles could each of Julieta's students form with these straws?==========================================================
Triangle inequality theorem says that no any side of a triangle can be longer or equal to the sum the other two sidesGiven measures:
2 cm, 3 cm, 7 cm, 8 cmWe see that:
2+3 < 7 and 2+3 < 8Therefore we can't make triangles with the sides of 2 cm, 3 cm and 7 cm or 8 cm
Possible solutions are:
2 cm, 7 cm, 8 cm3 cm, 7 cm, 8 cmSo we can make two different triangles
whats 82693- 35774
Guys please help me I'm not the best at this
Answers
82693
35774
————-
46919
Complete the sentence.
Twenty-one is 25% of __
Answers
Answer:
84
Step-by-step explanation:
Answer:
Your answer is 84
Step-by-step explanation:
25=25 50 75 100 OR 4 so multiply 21 by 4
21x4 OR
21x1
42=21x2
63=21x3
84=21x4
Vincent has already finished 5 oil changes today, and can complete more at a rate of 1 oil change per hour. Warren just came on shift, and can finish 2 oil changes every hour. Sometime during the day, the friends will be tied, with the same number of oil changes completed. How long will that take? How many oil changes will Vincent and Warren each have done?
Answers
Answer:
Oil changes = 5
Vincent = 10 oil changes
Warren = 10 oil changes
Step-by-step explanation:
Vincent = 5 + h
Warren = 2h
Where,
h = number of oil changes
How long will that take?
Vincent = Warren
5 + h = 2h
5 = 2h - h
5 = h
h = 5
Number of oil changes = 5
How many oil changes will Vincent and Warren each have done?
Vincent = 5 + h
= 5 + 5
= 10 oil changes
Warren = 2h
= 2(5)
= 10 oil changes
2x+8=-6x-(-16)
what is x
Answers
Answer:
1
Step-by-step explanation:
2x + 8 = -6x -(-16)
2x + 8 = -6x + 16
8x = 8
x = 1
What's the answer to this problem 9x - 10=26
Answers
Answer:
x=4
Step-by-step explanation: