Answer:
The roots are real.
Step-by-step explanation:
Given quadratic equation to us is 4x² -4x -19 = 0.
With respect to Standard form ax² +bx +c = 0 , Discriminant of the quadratic equation is given by b² - 4ac . Here's a table for Nature of Roots .
[tex]\boxed{\begin{array}{|r|r|r|} \underline{\red{\bf S.no.}} & \underline{\red{\bf Condition }} & \underline{\red{\bf Nature \ of \ Roots }} \\\\ \sf 1 & \sf Discriminant > 0 & \sf Real \:Roots \\\\ \sf 2 &\sf Discriminant = 0 &\sf Equal \:Roots \\\\ \sf 3 & \sf Discriminant < 0 &\sf Complex \: Roots \end{array} }[/tex]
Hence here , wrt Standard form ,
• a = 4 , • b = -4 & •c = -19 .
[tex]\implies Discriminant = b^2-4ac \\\\\implies Discriminant = (-4)^2-4(4)(-19) \\\\\implies Discriminant = 16+304 \\\\\boxed{\red{\bf \implies Discriminant = 320 }}[/tex]
Hence since Discriminant is Greater than 0 , hence the nature of roots of the quadratic equation is real.
whats in improper fraction equal to 9 and 3/5
Answer:
48/5
Step-by-step explanation:
Answer: 48/5
9 multiplied by 5 is 45. Add three to get 48
what is the slope of the line shown in graph
A. -2
B. -1
C. 1/-2
D. 1/2
Answer:
-1/2
Step-by-step explanation:
using rise over run its 1/-2 which is just -1/2
is 1.8L greater than 1,500 ML
Answer:
yes
Step-by-step explanation:
Answer: yes
Step-by-step explanation: 1.8 L is greater than 1,500 ML because 1.8 L equals 1800 ML.
One Liter has 100 mL
Hope this helps :)
1. How many real solutions does the quadratic equation x?+9x= -8 have?
Answer:
This quadratic equation has 2 solutions.
Step-by-step explanation:
I assume the '?' in your question is meant to be power 2 (²), or else it would not be a quadratic equation. You could write it using the superscript version of 2.
We can solve this equation by expressing it in the form: ax² + bx + c
x² + 9x= -8
x² + 9x + 8 = 0
Now if you know the discriminant, you can simply plug in your values of a, b, and c to see how many solutions there are.
In this case, you would not need the discriminant as there are whole-number factors and hence this can simply be factorised.
x² + 9x + 8 = 0
(x + 8)(x + 1) = 0
For this equation to be true (= 0), x can equal -8 OR -1.
Hence, this quadratic equation has 2 solutions.
A virus takes 13 days to double its original population (A = 2A0). How long will it take to triple its population? Round to
the nearest tenth.
Answer:
20.6
Step-by-step explanation:
The exponential function to solve the problem.
A = [tex]A_0[/tex] [tex]e^{rt}[/tex]
A = population in time t.
[tex]A_0[/tex] = Initial population.
r = growth rate.
t = time
The number of days taken to triple the population is 20.7 days.
What is a function?
A function is a relationship between inputs where each input is related to exactly one output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
The exponential function to solve the problem.
A = [tex]A_0[/tex] [tex]e^{rt}[/tex]
A = population in time t.
[tex]A_0[/tex] = Initial population.
r = growth rate.
t = time
Now,
A = 2[tex]A_0[/tex]
t = 13
A = [tex]A_0[/tex] [tex]e^{rt}[/tex]
[tex]2A_0[/tex] = [tex]A_0e^{13r}[/tex]
2 = [tex]e^{13r}[/tex]
Taking logs on both sides.
log 2 = 13r log e
0.30 = 13r
r = 0.30/13
r = 0.023
Now,
A = 3[tex]A_0[/tex]
A = [tex]A_0[/tex] [tex]e^{rt}[/tex]
3 = [tex]e^{rt}[/tex]
log 3 = rt
0.48 = 0.023t
t = 0.48/0.023
t = 20.7 days.
Thus,
The number of days taken to triple the population is 20.7 days.
Learn more about functions here:
https://brainly.com/question/28533782
#SPJ5
A ratio of 3 erasers and 6 pencils could be expressed as 3:6. If the number of erasers is represented by white circles and the number of pencils is represented by black circles, which is a correct representation of the ratio?
Answer:
It'd be C.
There are 3 erasers shown and 6 pencils and to simplify the given ratio it would be 1:2
So the third representation would be the one that made the most sense.
Answer:
Option 3
Step-by-step explanation:
Ratios can be written as fractions, so 3:6=3/6. That can be simplified to 1/2, 1:2. That mesns for every eraser, there are two pencils. If white circles are erasers and black circles pencils, the correct answer will be the answer with one white circle and two black circle in each group. So the correct answer will be the third one.
PLZ ANSWER WILL MARK BRAINLIEST
Answer:
I think the answer is C Angle-Angle-Side im not sure if im accurate but i hope it helps
Step-by-step explanation:
which list shows the numbers in order from least to greatest?
-2,-3-0-2-3
0,-3-2,2,3
-3-2,0,2,3
0,-2-3,2,3
Choice 3
Step-by-step explanation:
-3 is the smallest and 3 is the biggest number
The expression 2x + 3.4 is equal to ? for x =1.6.
Answer:
6.6
Step-by-step explanation:
A car travels 30 1/5 miles in 2/3 of an hour. What is the average speed of the cat in mph?
Answer:
45.3 miles/h
let 'x' be the speed of the car. Hope this will helps:)
Step-by-step explanation:
Please help ASAP !! I’ll give brainleist
Answer:
x=12
y=9
Step-by-step explanation:
Since the two triangles are equal, the hypotenuse of each are equal as well, meaning 2x is equal to x+12. 2 times 12 equals 24, and 12+12 also equals 24.
the shorter sides are also equal to each other, so (y+5) equals (2y-4). 9+5 equals 14, and 2 times 9 minus 4 also equals 14.
What does x = if x multiplied by 7/3 = 1
Answer:
Step-by-step explanation:
X×7/3 =1
X=3/7
the picture is below
Answer:
C
Step-by-step explanation:
please help me out if you can
Answer:
A that's 250
Step-by-step explanation:
30\100x 12
PLEASEEEEE HELP ME IF YOU GET THIS QUESTION!!
Answer:
one and a quarter mile
please can i have brainliest
Each ___ in a cell has its own specific function.
Answer:
organelle
Explanation: Mitochondria and the cell wall are both examples of organelles since they have their own specific functions (Mitochondria produces the energy and the cell wall protects the cell from things that might be a danger to the cell.
Each "organelle " in a cell has its own specific function.
What is organelles ?Mitochondria and the cell wall are both examples of organelles since they have their own specific functions. Mitochondria produces the energy and the cell wall protects the cell from things that might be a danger to the cell.
A Cellular respiration is a component of a metabolic process which splits the glucose sugar molecule to produce energy in the form of ATP.
Since we know that Krebs' cycle, oxidative phosphorylation, and glycolysis are all components of cellular respiration.
The cellular respiration activities take place in the mitochondria of the cell, where the oxygen-rich environment which causes the sugar-like glucose to break down into an energy molecule.
A cell organelle having a membrane is a 'mitochondria'. It is a location for cellular respiration and metabolic activities which produce energy.
Learn more about mitochondria by using this link:
brainly.com/question/10688306
#SPJ6
A sequence starts 10, 20, ...
A) Find the next two terms if it is arithmetic. Show/explain your process!
B) Find the next two terms if it is geometric. Show/explain your process!
Answer:
B Find the next two terms If it is geometric
Point-slope form of the line that passes through (-8,2) and is perpendicular to a line with a slope of -8
Answer:
y-2=1/8(x+5)
Step-by-step explanation:
1. Perpendicular lines have opposite slopes. To get the new slope, take the slope of the first line and turn it to make it the opposite reciprocal.
Since it's -8, the opposite of it is 1/8.
2. Now, use point slope: y-y1=m(x-x1). Plug in the values of the ordered pair and the slope into the equation.
y-2=1/8(x+8)
And that's your answer
Find the solution set of the inequality
- 4x + 35 > 2
Answer:
Isolate the variable by dividing each side by factors that don't contain the variable.
Inequality Form:
x < 33/4
Interval Notation:
(− ∞, 33/4)
Show me the steps to solving this equation. 3x + 2 = 14
Answer:
4
Step-by-step explanation:
multiply 3 by 4 to get 12 and add 12 to 2 and you get 14
Jack borrowed $1.50 from his friend Jenna every day for five days last week. What rational number represents how much Jack owed his friend last week?
Answer:
$7.50
Step-by-step explanation:
set up an equation: $ x days = total owed
1.50 x 5 = 7.50
A 30 foot ladder is placed against a vertical wall so that the base of the ladder is 10 feet from the base of the wall. How far up the wall does the ladder reach?
Answer:
the answer is approximately 28.28
Step-by-step explanation:
you use the pythagorean theorem to find the last length. I could explain it further, but you can take my word for it, its correct. I double checked.
The solution to the system of equations shown is (2, 0).3x − 2y = 6x + 4y = 2When the first equation is multiplied by 2, the sum of the two equations is equivalent to 7x = 14.Which system of equations will also have a solution of (2, 0)?6x - 4y = 6x + 4y = 26x − 4y = 62x + 8y = 2x + 4y = 27x = 146x − 4y = 67x = 14
the answer is c i got it on edge 2020
Answer:
c
Step-by-step explanation:
Last month Maria worked 150 hours. Her friend, Sara, suggested that this month Maria should work 15% more hours than she did last month so she can save for Christmas gifts. If Maria takes Sara’s advice, how many hours will Maria work this month?
Answer:
Step-by-step explanation:
So, ahem if I am even close to giving you an accurate answer then the logical part of me in my brain is still working. If she worked 150 hours and she were to take Sarah's advice to work 15% more. We first need to know what 15% of 150 is to find that we can do 10 percent of 150 which we put 150. and we move that decimal over one place to the opposite of the side right. What do we get well we get 15.0 and we let that be. Then since we still need to find the other 5% of 150 we can take the 15.0 and divide by 2. We can do 14÷2=7 we can add that to the 15.0, and get 22, now we put that aside then we can do the 1÷2=.5. We can then do 22+.5=22.5. then we have to do 150+22.5=172.5
since it is 15% more than 150. Sorry if this is not very understandable,
incorrect, and confusing I tried. I hope that I helped with something. I try to trick you a bit I hope that you catch on. :)
I need help with this question pleaseeee
Answer: 639
Step-by-step explanation:
i might be wrong but that's how i was taught! :)
If the height of a falling object after a certain amount of time is given by the equation , which of the following is true?
A.) t must be greater than or equal to 16.
B.) t must be greater than or equal to 0.
C.) h must be greater than or equal to 500.
D.) h must be less than or equal to 0.
Answer:
B
Step-by-step explanation:
Time can't go backwards
HELP HELP HELP PLEASSSEEEE!!!!!!! THIS IS MAKING MY MIND GO NUTS!
Answer:
2.5 hours
Step-by-step explanation:
They are 22.5 miles apart. Chase is going 6 mph and Jada is going 3 mph.
6 × 2 = 12
6 × 0.5 = 3
12 + 3 = 15 miles
3 × 2 = 6
3 × 0.5 = 1.5
6 + 1.5 = 7.5 miles
15 + 7.5 = 22.5 miles
It would take them 2.5 hours to reach each other.
Hope that helps.
A manager in a call center needs to determine how many agents to schedule next week.
Based on previous data, she expects to get 7,940 calls next week. The following conditions
apply:
• On average, call center agents can handle seven calls an hour.
• The call center is open for 10 hours, 5 days a week.
Full-time agents work 40 hours per week, but are only on calls for 35 hours a week.
Part-time agents work 20 hours a week, but are only on calls 17 hours per week.
Answer:
Number of calls expected in next week by manager = 7940
Average Number of calls that call center agent will attend in an hour =7 calls
It is also given that, Call center remain open for 10 hours 5 days a week.
Also, it is given that, full time agents work 40 hours a week but are only on call for 35 hours per week ,Part time agents work 20 hours a week but are only on calls 17 hours per week .
⇒Number of hours worked by full time agents × Number of calls attended in an hour × Number of full time agents + Number of hours worked by Part time agents × Number of calls attended in an hour × Number of Part time agents ≤ 7940
⇒35 × 7×Number of full time agents +17 × 7 ×Number of Part time agents ≤ 7940
Option A
⇒35×15×7+17×7×15
= 3675+1785
= 5460
Option B
⇒35 ×7×20+17×7×7
=4900 +833
= 5733
Option C
⇒35×20×7 +17×20×7
=4900+2380
=7280
Option D
⇒25 × 35×7+17×7×5
=6125 +595
=6720
Option E
⇒28×35×7+17×7×10
=6860+1190
=8050
Option E, ⇒ 28 full time agents and 10 part time agents , is best to meet the scheduling needs is most appropriate, that is nearer to 7940 calls.
Alonso paid for repairs on his car, and 3
5
of the bill was for labor costs. How much was the total bill if the cost of the labor was $79.50? Let b = the amount of the total bill.
Which equation and solution is correct?
Five-thirds b = 79.50, and the total bill was $47.70.
Three-fifths (79.50) = b, and the total bill was $127.20.
Five-thirds b = 79.50, and the total bill was $212.00.
Three-fifths (b) = 79.50, and the total bill was $132.50.
Answer:
The answer to you question is D or the last one.
Step-by-step explanation:
I took the test on Edg
The equation that represent this situation is (3/5) * b = 79.50
Equation
An equation is an expression that shows the relationship between two or more numbers and variables.
Let b represent the amount of the total bill. Given that 3.5 of the total bill was for labor cost.
For a labor of $79.50
(3/5) * b = 79.50
The equation that represent this situation is (3/5) * b = 79.50
Find out more on Equation at: https://brainly.com/question/13763238
Anybody can help me with this one?
Answer:
look pic
Step-by-step explanation:
the -1/4 is the slope and 5 is where you start
