Answer:
To determine the nature of roots of quadratic equations (in the form ax^2 + bx +c=0) , we need to calculate the discriminant, which is b^2 - 4 a c. When discriminant is greater than zero, the roots are unequal and real. When discriminant is equal to zero, the roots are equal and real.
ANSWER:
when the value of (b^2-4ac) is positive, then the roots are real and distinct.
when it is 0 the roots are equal and if it is negative than its root is not real.
what is the equation of the line that passes through the point (4,7) and has a slope of o?
Answer:
The equation of the line that passes through the point (4,7) and has a slope of 0 will be:
[tex]y=7[/tex]Step-by-step explanation:
As we know the equation of a line in a slope-intercept form of an equation is
[tex]y = mx + b[/tex]
Here,
m is the slopb is the y-interceptso
substituting the point (4,7) and slope m=0
[tex]y = mx + b[/tex]
[tex]7=0(4)+b[/tex]
[tex]7=0+b[/tex]
[tex]b=7[/tex]
Therefore, the equation of the line that passes through the point (4,7) and has a slope of 0 will be:
[tex]y = mx + b[/tex]
[tex]y=0x+7[/tex]
[tex]y=7[/tex]
Which of these changes in a pond environment is observable
1. the algae content increases in the summer.
2. the water level is lower
when there is little rain.
3. the water temperature at the surface increases when the sun is out.
4. all of these are observable.
ignore what subject i put this in pls i’m just rushing rn
Answer:
all of these are observable.
Step-by-step explanation:
you can look into how algae increase in the summer. You can visually see the water level is lower and you can feel the temperature of the water
solve 2x-y > 1 for y
HELP ASAP ILL GIVE BRAINLIEST
Answer: i would say 20 because it doesnt look that short compared to 22.
Answer:20.1 ft
Step-by-step explanation: in image below
There are a total of 64 students in a drama club and a yearbook club. The drama club has 10 more students than the yearbook club. Write a system of linear equations that represents this situation. Let x represent the number of students in the drama club and y represent the number of students in the yearbook club. How many students are in the drama club? The yearbook club?
Answer: There are 37 students in the drama club and 27 students in the drama club.
Step-by-step explanation:
Let x= number of students in the drama club.
y= number of students in the yearbook club.
As per given, we have
x+y=64
x=10+y
A system of linear equations that represents this situation:
x+y=64 (i)
x=10+y (ii)
Put value of x from (ii) in (i)
10+y+y=64
⇒ 2y= 54
⇒ y = 27 [Divide both sides by 2]
Put value of y in (ii) , we get
x= 10+27 = 37
Hence, there are 37 students in the drama club and 27 students in the drama club.
There are a total of 64 students in a drama club and a yearbook club. The drama club has 10 more students than the yearbook club. Write a system of linear equations that represents this situation. Let x represent the number of students in the drama club and y represent the number of students in the yearbook club. How many students are in the drama club? The yearbook club?
74
Jim's puppy weighs 2,268 grams, about how many ounces does the puppy weigh?
Answer: it weighs about 80 ounces
Step-by-step explanation:
help what's the answer? 7+1=?
Answer:
8
Step-by-step explanation:
The students in Eddie's grade voted to select a guest speaker, 20% of the students voted
for a famous athlete. If there are 75 students in Eddie's grade, how many students voted for
the athlete?
Answer:15
Step-by-step explanation:
0.2*75=15 students
URGENT HELP RN
what is the solution set of this inequality? 1<|x-2|<5
(-3, ) U ( , )
We first need to consider the absolute value of x-2 to find the solution set of this inequality, The solution set of this inequality is (3, 4, 5).
What is absolute value?An absolute value is a number's distance from 0 on the number line.
Since the inequality is 1<|x-2|<5, we can then determine the two extreme points of the absolute value of x-2.
These points are 1 and 5.
Now, to find the solution set of this inequality, we need to find the two points that are 1 and 5 units away from the point x = 2.
The two points that are 1 and 5 units away from x = 2 are 3 and 5 respectively.
This is because the absolute value of x-2 has two extreme points, which are 1 and 5 units away from the point x = 2.
Therefore, the two points that are 1 and 5 units away from x = 2 are 3 and 5 respectively.
For more questions related to inequality
https://brainly.com/question/24372553
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The plot shown below describes the relationship between the age of drivers and the number of car accidents per
100 drivers in the year 2009.
Which of the following is the best estimate of the average change in the number of accidents associated with a
1 year increase in age?
Answer:
-3/2
Step-by-step explanation:
4. Transversal E F intersects AB and CD, as shown in
the diagram below.
E
1/2
4/3
A
B
5/6
8/7
D
F
Which statement could always be used to prove
AB || CD?
1
2224
2) 27 228
3) Z3 and Z6 are supplementary
4) Z1 and 25 are supplementary
Answer: D, m<5=55.1 and m<7=124.9
Step-by-step explanation: 5 is the opposite of 4 in this diagram becuase of the bisector so that would make it the same 55.1, while 7 is an obtuse angle so it's clearly more than 90°, leaving 124.9 the most logical explanation.
Statement, ∠3 and ∠6 are supplementary will always be used if lines AB and CD are parallel.
What is a traversal line?When a line passes through two lines on the same plane, is called traversal line.
Given that,
Two lines are AB and CD,
Also, a transversal line EF intersect line AB and CD.
According to traversal line property,
If two lines are parallel and a traversal line intersect two lines, then each pair of interior angles on the same side of the transversal is supplementary.
In the given figure, Angle 3 and 6 are interior angles
Implies that,
Angle 3 and angle 6 will be supplementary if line AB and CD are parallel.
Hence, statement ∠3 and ∠6 are supplementary shows that lines AB and CD are parallel.
To learn ore about Traversal line on:
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Find the value of x.
Y
3(x+7) -
63
=180
Answer:
x = -7 + 81/Y
Step-by-step explanation:
what is 6/a-6 = 3/a-3 ?
help me please
Answer:
a=1
Step-by-step explanation:
Multiply all terms by a and cancel:
6+−6a=3+−3a
−6a+6=−3a+3(Simplify both sides of the equation)
−6a+6+3a=−3a+3+3a(Add 3a to both sides)
−3a+6=3
−3a+6−6=3−6(Subtract 6 from both sides)
−3a=−3
−3a
−3
=
−3
−3
(Divide both sides by -3)
a=1
Answer:
a=0
Step-by-step explanation:
I hope this helped you out! Have a great day!!!!! You're beautiful/handsome!! <3
The circumference C of a circle with radius r can be calculated using the formula C=2pir. Which formula represents r in terms of C
Answer:
Step-by-step explanation:
If C=2πr
r=C/2π (change of sbject)
How do you find the equation of a trend line?
50 lbs of tomatoes cost $275. How many lbs of tomatoes can you get
with $225.50 ?
What is the probability of spinning a white on the spinner
Answer:
where is the spinner?
Step-by-step explanation:
Solve. 3/4 * 3/5 PLease help!!!
Suresh makes 100 pieces of costume jewelry to sell to his classmates. Each piece costs him $1.55 to make. How much does it cost Suresh to make all 100 pieces?
$0.02
$0.16
$15.50
$155.00
Answer:
$155.00
Step-by-step explanation:
$100×$1.55=$155
can i get brainliest
Which of Earth’s spheres encompasses all of
Earth’s water?
a. the hydrosphere
b. the atmosphere
c. the asthenosphere
d. the geosphere
Answer:
The answer is A.
Step-by-step explanation:
All of earths bodies of water including groundwater. the hydrosphere also includes the cryosphere, which is made up of the worlds ice sheets and sea ice.
Answer:
a. the hydrosphere
Step-by-step explanation:
hydro means water
Hi. I need help with these questions.
See image for question.
Answer 16 and 17
Step-by-step explanation:
16.................................................
GivenEquation ax² + bx + c = 0One of the roots is twice the otherTo findShow that 2b² = 9acSolutionLet the roots be p and q
The sum and product of the roots:
p + q = -b/apq = c/aThe sum of the roots, considering p = 2q,
p + q = 2q + q = 3qAnd
3q = -b/a ⇒ q = -b/(3a)The product of the roots, considering p = 2q:
pq = 2q(q) = 2q²And
2q² = c/aSubstitute q with -b/(3a)
2(-b/(3a))² = c/a2b²/(9a²) = c/a2b² = 9a²(c/a)2b² = 9ac=================================================
17. .................................................
GivenQuadratic equation
ax² = bx + c = 0, with equal rootsTo findShow that b² = 4acSolutionEqual roots means the discriminant is zero:
D = √b² - 4ac√b² - 4ac = 0b² - 4ac = 0b² = 4ac3. Charlie needs to hire a plumber to fix his kitchen sink. ABC Plumbing charges a flat
fee of $50 plus 535 per hour, Pipes R Us charges a flat fee of $75 and $25 per hour.
How many hours will the two companies charge for the total cost to be equal?
Answer:
2 hoursStep-by-step explanation:
step one:
given
ABC Plumbing charges
flat fee=$50
charge per hour= $35------------------i want to assume you meant $35 and not $535
Pipes R Us charges
flat fee=$75
charge per hour= $25
Let the number of hours be x
the equation for the charges is given bellow
y=35x+50----------1
y=25x+75-----------2
equating 1 and 2
35x+50=25x+75
35x-25x=75-50
10x=20
divide both sides by 10
x=20/10
x=2 hours
2 hours
what is the kinetic energy in chem
Answer:
kinetic energy is the energy that allows a person to have free movement
Ktkrk rj. Rj4k4k4k krk4ke3k rk3k Ijjkhtjrkrkrnemek3
what's the question though
The nth term of an AP is 12-4n. Find the first term and the common difference.
Answer:
the first term is 8 and common difference d is -4.
Step-by-step explanation:
We are given nth term of an arithmetic sequence is: aₙ=12-4n
We need to find first term and common difference of given arithmetic sequence
First term can be found by putting n=1:
[tex]a_n=12-4n\\a_1=12-4(1)\\a_1=12-4\\a_1=8[/tex]
So, first term is a₁= 8
Now to find common difference we need to find second term
Second term can be found by putting n=2
[tex]a_n=12-4n\\a_2=12-4(2)\\a_2=12-8\\a_2=4[/tex]
So, second term is: 4
The common difference is found by subtracting second term with first term: a₂-a₁= 4-8 = -4
So, first term is 8 and common difference d is -4
what is the slope of the line
I ONLY HAVE 5 MIN TO ANSWER PLEASE HELP ME !!!!!!!!!!!
How do you determine which values to multiply when you apply the distributive property?
WILL MARK BRAINLIEST!!!
Alexa and Daniel , two students of middle school together collected $20 from the students for annual function of their school . Write a linear equation for this and draw a graph to depict the statement .
Answer:
x + y = 20
Step-by-step explanation:
Let the amount collected by Alexa = $x
& the amount collected by Daniel = $y
Total amount collected = $20
Therefore,
x + y = 20
Brian orders a center pivot irrigation system to water his field system is made up of a line connected pipes that turn around a center point Brian system will be 1000 150 feet long what is the longest distance across the space the system still water show your work
Answer:
2,300
Step-by-step explanation:
since it turns it would be double and both radius would be 1,150ft you have to add them together and then you get 2,300ft.
The longest distance across the space the system still water is the diameter of the circle, that is 2300 feet and this can be determined by using the given data.
Given :
Brian orders a center pivot irrigation system to water his field system is made up of a line connected pipes that turn around a center point.Brian's system will be 1150 feet long.The following steps can be used in order to determine the longest distance across the space the system still water:
Step 1 - According to the given data, the Brian system will be 1150 feet long.
Step 2 - So, from the given data it can be concluded that the irrigation system moves about a point and form a circle whose radius is 1150 feet.
Step 3 - So, the longest distance across the space the system still water is the diameter of the circle, that is:
D = 1150 [tex]\times[/tex] 2
D = 2300 feet
For more information, refer to the link given below:
https://brainly.com/question/12930236
Select all of the ratios that are equivalent to 6:3 *
2:1
12:6
3:6
30:15
6:6
12:9
Answer:
2 : 1
12 : 6
30 : 15
Step-by-step explanation:
Look at the ratios one by one. Starting with 6 : 3, we can see that it's of the form 2a : a.
2 : 1
12 : 6
30 : 15
These are all equivalent.