Given:
One solution to a quadratic equation is [tex]x=-\dfrac{5}{3}[/tex].
To find:
The true statement about remaining solutions.
Solution:
We know that, number of solution to a quadratic equation is 2.
According to the complex conjugate root theorem, if a complex number x+iy is a root of an equation then its conjugate x-iy is also a root of that equation.
It means, the complex roots are in the pair of two.
Using complex conjugate root theorem, a quadratic equation has either 0 complex roots or 2 complex roots.
One solution to a quadratic equation is [tex]x=-\dfrac{5}{3}[/tex], which is real.
There are no complex solutions and there is exactly one more real solution.
Therefore, the correct options are A and E.
EASY 10 POINTS JUST HELP ME WITH THIS PROBLEM!
Answer:
x = 10
Step-by-step explanation:
-x - 4 = 4x - 54
Add x to both sides
-4 = 5x - 54
Add 54 to both sides
50 = 5x
Divide both sides 5
10 = x
Hope this helps and pls do mark me brainliest if you can:)
The value of group therapy for the treatment of mental health disorders is that an individual can __________. A. find comfort in talking with people that have similar experiences B. be a part of a group that allows one to hide his or her feelings C. borrow medication from other group members when needed D. none of the above Please select the best answer from the choices provided. A B C D
Answer: A. find comfort in talking with people that have similar experiences
Step-by-step explanation: A group can be considered to be a gathering which comprises of two or people working or coming together for a common purpose. In the aspect of mental psychology, the group method of applying therapeutic measures is usually applied which involves the coming together of a group of mentally or psychologically traumatized person with the aim of allowing members to share their experience among people who have gone through something simailr in other ot make them more comfortable while sharing their experience since all group members would have passed through something similar or worse. Hence, it gives patients more freedom to express themselves.
Answer: The answer would be A :3
Hope this helps :D
what is the greatest possible integer solution of the inequality 2.808x <24.111?
Answer
Step-by-step explanation:
Earth travels 30 kilometers each second as it revolves around the Sun. How many miles does Earth travel in 1 second?
Answer:
18.64 Miles
Step-by-step explanation:
Anthony has 260 cars and sells them at a rate of 5 cards a day. Ben has 100 cards and buys them at a rate of 3 cards per day. After how many days will they have the same number of cards
Answer:
After 20 days, they will have the same number of cards
Step-by-step explanation:
Given;
number of cards with Anthony, = 260 cards
rate of his sale = 5 cards/day
number of cards with Ben, = 100 cards
rate of his purchase, = 3 cards/day
let the number of days when they will have the same number of card = n
set up the linear equation, consider sale as subtraction from the initial value and also consider purchase as an addition to the initial value.
260 - 5n = 100 + 3n
260 -100 = 3n + 5n
160 = 8n
n = 160 / 8
n = 20 days
Therefore, after 20 days, they will have the same number of cards
For 0 ≤ ϴ < 2π , what are the solutions to sin2(ϴ) = 2sin2 (StartFraction theta Over 2 EndFraction)?
Answer:
Its A. I took the quiz.
Step-by-step explanation:
Soluions for the given expression in the given interval will be {0, π/2, 3π/2}.
Option A will be the answer.
Solutions of the trigonometric identites:Given expression in the question,
[tex]\text{sin}^2(\theta)=2\text{sin}^2(\frac{\theta}{2} )[/tex]
[tex][2\text{sin}(\frac{\theta}{2} )\text{cos}(\frac{\theta}{2} )]^2=2\text{sin}^2(\frac{\theta}{2} )[/tex]
[tex]4\text{sin}^2(\frac{\theta}{2} )\text{cos}^2(\frac{\theta}{2} )=2\text{sin}^2(\frac{\theta}{2} )[/tex]
[tex]4\text{sin}^2(\frac{\theta}{2} )\text{cos}^2(\frac{\theta}{2} )-2\text{sin}^2(\frac{\theta}{2} )=0[/tex]
[tex]2\text{sin}^2(\frac{\theta}{2} )[2\text{cos}^2(\frac{\theta}{2} )-1)]=0[/tex]
[tex]\text{sin}\frac{\theta}{2}=0[/tex]
[tex]\frac{\theta}{2} =n\pi[/tex]
[tex]\theta=2n\pi[/tex] [Here, n = integer]
[tex]\theta=0,\pi,2\pi.....[/tex]
Therefore, [tex]\theta=0[/tex] [Since, [tex]0\leq \theta < 2\pi[/tex]]
[tex]2\text{cos}^2(\frac{\theta}{2})-1=0[/tex]
[tex]\text{cos}\theta=0[/tex]
[tex]x=\frac{\pi}{2}+\pi n}[/tex] [Here, n = integer]
Therefore, [tex]\theta=\frac{\pi}{2},\frac{3\pi}{2}[/tex] [Since, [tex]0\leq \theta < 2\pi[/tex]]
Hence, soluions for the given expression will be {[tex]0,\frac{\pi}{2} ,\frac{3\pi}{2}[/tex]}.
Learn more to get the solutions of the trigonometric expressions here,
https://brainly.com/question/14108526?referrer=searchResults
Help me for 10 points.
Answer: What ?!
Step-by-step explanation: Omae wa mou shindeiru
Pat bounces a basketball 25 times in 30 seconds. At that rate, approximately how many
times will Pat bounce the ball in 150 seconds?
А
120
B
125
с
144
D
145
Answer:
The answer is B
Step-by-step explanation:
If it takes 30 seconds to bounce the ball 25 times, you divide 150 by 30 and get 5 which you multiply times 25 to get 125.
1/2(10k - 16) + 11 = -2 solve for k and show your work in rows
Answer:
k= -1
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
(10k-16)+11= -2
[tex](\frac{1}{2} ) (10k)+(\frac{1}{2} )(-16)+11 = -2[/tex]
(5k)+(-8+11)= -2
5k+ 3= -2
Step 2: Subtract 3 from both sides.
5k+3−3=−2−3
5k=−5
Step 3: Divide both sides by 5.
[tex]\frac{5k}{5} = \frac{-5}{5}[/tex]
k= -1
A recipe calls for 40 ounces of rice how many grams of rice does the recipe require
Answer:
1,120
Step-by-step explanation:
Which is a diagonal through the interior of the cube?
A cube. The top face has points A, B, D, C. The bottom face has points E, F, H, G.
Side A D
Side B G
Side C E
Side D F
oh and those are the answer choices
Answer :
Bg
Step-by-step explanation:
Answer:
Here is the real answer I got it wrong on edge just to see the answer for you guys I promise its right AH, BG, DE, DH
Step-by-step explanation:
Welcome
Some spiders can spin a web at 3 cm per second. Convert this rate to meters per minute. (100 cm = 1 m)
Answer:
1.8m per minute
Step-by-step explanation:
Answer:
[tex]\frac{1.8 \ m}{1 \ min}[/tex] ; (1.8 meters per minute)
Step-by-step explanation:
Use dimensional analysis to solve this problem.
The proper units of conversion are given in parentheses on this question: 100 cm = 1 m.
Start with the given value, 3 centimeters/1 second.
[tex]\frac{3 \ cm}{1\ sec}[/tex]Convert this rate to meters/minute by multiplying 3 cm/1 sec by 1 m/100 cm.
[tex]\frac{3 \ cm}{1 \ sec} * \frac{1 \ m}{100 \ cm}[/tex]The top and bottom units should cancel out, so that's how you know to put the cm units on the bottom to cancel out with the 3 cm on the top.
Multiply the fractions together. The "cm" units cancel out.
[tex]\frac{3\ m}{100 \ sec}[/tex]Now you want to make the bottom units = minutes. There are 60 seconds in 1 minute, so you can use [tex]\frac{60 \ sec}{1 \ min}[/tex] to multiply with [tex]\frac{3\ m}{100 \ sec}[/tex].
[tex]\frac{3\ m}{100 \ sec} * \frac{60 \ sec}{1 \ min}[/tex]The "seconds" unit cancels out, so you are left with meters on the top and minutes on the bottom. Multiply the fractions together.
[tex]\frac{180 \ m}{100 \ min}[/tex]We want the rate to be meters per minute (1), so completely simplify this fraction and divide the fraction by (100/100), so the denominator is 1 min.
[tex]\frac{180 \ m}{100 \ min} \div \frac{100}{100}= \frac{1.8 \ m}{1 \ min}[/tex]Write an expression that matches the difference between 8 forty-sevens and 5 forty-sevens.
(8 x 47) - (5 x 47)
Also The difference is 141
The price of a baseball glove is $8 more than half the price of spikes. The glove costs $54. Solve the equation 5/2+ 8 = 54 to find out how much the spikes cost.
Answer:
$23
Step-by-step explanation:
1/2 + 8 = 54
subtract 8 from both sides: 1/2 = 46
divide 46 by 1/2: 23
check your answer: 23 * 2 + 8= 54
I hope this helped, please mark Brainliest, thank you!
-35x+70y=29
10x-20y=-10
Answer:
-25x + 50y = 19
Step-by-step explanation: So sorry if I'm wrong
Answer:
x=3
y=2
Step-by-step explanation:
you can either use substitution or elimination method
I find substitution method better
substitute x with 3 and in this method u use one of the equation
10(2)-20y=-10
20-20y=-10=2
y=2
now use y=2 with the same equation
10x-40=-10=30
10x=30
x=3
therefore
x=3
y=2
For every 0.3048 meters, there is one foot. Determine the number of feet in 7.9248 meters. Use paper to support your answer.
Answer:
26 feet
Step-by-step explanation:
7.9248 divided by 0.348
Decide whether the statement is true or false. If false, rewrite the
right-hand side of the equation so the statement is true.
1. 4(2 + 7)? 4(2) +7
Answer:
It's False
4(2 + 7) = 4(2) + 4(7) = 36
Step-by-step explanation:
4(2 + 7) = 36
4(2) +7 = 15
Help!!!!!! I need help asapppopopppppp
Answer:
9072
Step-by-step explanation:
The owner of Animal Lovers Pet Shop has a total of 153 parakeets in 3 cages. Could each cage hold the same number of parakeets? Explain how you found your answer.
Answer:
Sample Response: When you divide 153 by 3, there is no remainder. This means that 3 goes into 153 evenly and so there can be the same number of parakeets in each cage.
Answer:
he is right
Step-by-step explanation:
for what value of x is g(x)=5
Drew runs an 8 mile race. How many km has he run? Use the conversion factor 1 km=.62 miles.
Answer:
12.8 is how many kilometers drew runs
Answer:
0.62*8=4.96
happt to help
quadratic equation in standard form
-x+13=3x
1 Thomas uses a graphing calculator to solve the following word problem. Two shirts and five pairs of pants cost $150. Three shirts and four pairs of pants cost $190. Find the cost of a shirt. Select the statements that describe the steps that Thomas can use to solve the problem using his graphing c A Let x equal the cost of a shirt and y equal the cost of a pair of pants. B Solve each equation for y. c Solve each equation for r. D The solution is the point where the lines intersect. E The solutions are the points where the lines intersect the y-axis.
Answer:
The correct options are;
A. Let x equal the cost of a shirt and y equal the cost of a pair pants
B. Solve each equation for y
D. The solution is the point where the lines intersect
Step-by-step explanation:
The cost of two shirts and five pants = $150
Three shirts and four pairs of pants = $190
Let x = The cost of a shirt and y = the cost of a pair of pants
We have;
2·x + 5·y = 150
3·x + 4·y = 190
We solve each equation for y, to get;
For the first equation, we have;
2·x + 5·y = 150
5·y = 150 - 2·x
y = 150/5 - 2/5·x = 30 - 2/5·x
y = 30 - 2/5·x
For the second equation, we have;
3·x + 4·y = 190
4·y = 190 - 3·x
y = 190/4 - 3/4·x = 47.5 - 3/4·x
y = 47.5 - 3/4·x
The solution is the point where the two lines intersect, which is given as follows;
y = y
47.5 - 3/4·x = 30 - 2/5·x
17.5 = 3/4·x - 2/5·x = 7/20·x
x = 20/7 × 17.5 = 50
The cost of a shirt = x = $50
The cost of a pair of pant = y = 30 - 2/5·x = 30 - 2/5 × 50 = 10
The cost of a pair of pant = $10.
Hayley is buying herbs. She wants to buy 5/6 ounce of basil. The scale she is using to weigh the basil displays the weight as a decimal. How will she know when the display on the scale is correct to the tenths place? Explain your reasoning.
Answer:
0.8 ounces
Step-by-step explanation:
Given that:
Ounce of basil Hayley wishes to purchase = 5/6 ounces
Since the scale is displaying as decimal, then the fraction of basil to be purchased will be could be converted to decimal;
5/6 = 0.83333
To the nearest tenth ;
5/6 = 0.8 ounces
Once the display on the scale shows 0.8, then it is equivalent to 5/6 ounces of basil.
4. A treadmill is priced at $280.50. There is an 8% sales tax rate. What is the sales tax of the treadmill in dollars and cents?
Answer:
Step-by-step explanation:
280.50 * 8%
280.50 * .08%
=22.44 (sales tax rate)
Total= $302.94
What are the angles and lengths of the new ornament?
Answer:
the angles are the same but the lengths are now 15 feet
Step-by-step explanation:
similar shapes have the same angles and 1.5 x 10 is 15
On a planet, a rock is dropped from the top of a 400-foot cliff. After 1 second, the rock is traveling feet per second. After seconds, the rock is traveling feet per second.
a. Assume that the relationship between time, t, and speed, s, is linear and write an equation describing this relationship. Use ordered pairs of the form (time, speed).
b. Use this equation to determine the speed of the rock seconds after it was dropped.
Answer:
sorry i do not know . i just need to answer this. no hard feelings
Step-by-step explanation:
Will make brainliest!
Please explain what I did wrong , and please give me the correct answer thank you :)
help me please if you are good at 8th-grade math I need help!!!!!!!
Answer:
A. slope is 7 3 is y itercept B. -2 slope 1 y intercept
What is the value of x if 5x + 55 = 35?
Select one:
90
-20
-4
18
Answer:
x=-4
Step-by-step explanation:
5x -4 is -20 +55 is 35