Answers
First let's understand the discriminant. Discriminant is an equation of D = b²-4ac. Discriminant is to find how many solutions do the equation have. In case for Quadratic Equation, there are 3 types of solutions which are:
No solutions or D < 0 — When D < 0, the equation does not have real roots.One solution or D = 0 — When D = 0, the equation has one real root. Two solutions or D > 0 — When D > 0, the equation has two real roots.To find discriminant graphically, we need to know that the x-axis plane represents the solutions to the equations. All equations can be drawn as a graph. Some graphs do not intersect x-axis while some graph do.
If a graph intersects x-axis, the equation for that graph has solutions. If a graph doesn't intersect x-axis, the equation doesn't have any real solutions.You may also notice that some graphs intersect x-axis more than one point. Like I said that the x-axis represents the roots or the solutions. Intersecting x-axis "n" times means that the equation has "n" roots.
For example, if a graph intersects x-axis 8 points - the equation has 8 roots or solutions.
From the graph, the parabola intersects on x-axis just only one point. That means there is only one solution. The question asks to find the discriminant of the function. Recall that if D = 0, there's only one real root. Therefore the discriminant for the function is zero.
Answer
The discriminant for function is zero.Let me know if you have any doubts!
Related Questions
Use differentials to estimate the amount of paint needed to apply a coat of paint 0.03 cm thick to a hemispherical dome with diameter 42 m. (Round your answer to two decimal places.) m3
Answers
Step-by-step explanation:
The volume of a hemisphere is given by :
[tex]V=\dfrac{2}{3}\pi r^3[/tex]
Taking differentiation,
[tex]\dfrac{dV}{dr}=2\pi r^2[/tex]
So,
[tex]dV=2\pi r^2\times dr[/tex]
Put r = 21 m and dr = 0.03 cm = 0.0003 m
[tex]dV=2\pi \times 21^2\times 0.0003\\\\dV=0.831\ m^3[/tex]
Hence, this is the required solution.
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The table shows the lengths of picket fence pieces Jude has to make a flower garden
He wants the garden to have 4 sides and a perimeter of 30 feet.
He cannot cut the pieces into smaller lengths.
Fence Length
Number of Pieces
6 feet
feet
2
12 feet
1
Choose all of the possible sizes of gardens that Jude could make.
А.
B.
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a square with a side length of 6 feet
a rectangle with a length of 9 feet and a width
of 6 feet
D.
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a trapezoid with side lengths of 6 feet, 6 feet,
6 feet, and 12 feet
a quadrilateral with side lengths of 6 feet, 9
feet, 9 feet, and 9 feet
E.
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a triangle with side lengths of 9 feet, 9 feet,
and 12 feet
Answers
Answer:
all except for D. he can build A, B, C and E out of the available pieces of fence.
but A violates the overall goal of a circumference of 30ft.
and E violates the overall goal of the garden having 4 sides.
D cannot be built, because it would require 3 pieces of 9 ft (and we have only 2).
Answer: All except for D.
Step-by-step explanation: I would make one, but someone has already made a decent explanation.
Round off 1,296,717 to 3 significant figures
Answers
Answer:6 1296720 1.29672 × 106
5 1296700 1.2967 × 106
4 1297000 1.297 × 106
3 1300000 1.30 × 106
2 1300000 1.3 × 106
1 1000000 1 × 106
Step-by-step explanation:
[tex]\frac{y^2}{36} -1[/tex]
Answers
Answer:
that's my answer
Step-by-step explanation:
i hope it helps
I was wondering if someone could answer this :)
Answers
Answer:
17
Step-by-step explanation:
2a+30 = 4a-4
+4 +4
2a+34 = 4a
-2a -2a
34 = 2a
÷2 ÷2
a=17
Hope this helps! :)
Answer:
A = 17
Step-by-step explanation:
Opposite angles are congruent in a parallelogram
Hence 2a + 30 = 4a - 4
( Note that we've just created an equation that we can use to solve for a)
We now solve for a
2a + 30 = 4a - 4
Add 4 to both sides
2a + 34 = 4a
Subtract 2a from both sides
34 = 2a
Divide both sides by 2
a = 17
Simplify -|-7+4|
O 4
O -1/4
O -4
Answers
Answer:
Therefore, 7/4 simplified to lowest terms is 7/4.
You are given that 3x cubed = 375. Find the value of X
Answers
Answer:
375 divided by 3= x. 375/3= 125, the cube root is 5. X=5
Step-by-step explanation:
hope it helped
Answer:
1. 3x^3= 375
2. =>x^3= 375/3
3. => x^3= 125
4. =>x^3=( 5)^3
5. =>x=5
Step-by-step explanation:
No explanation
Pls help ASAP!!!!!!!!!!! I NEED HELP IMMEDIATELY!!!
Jaime had ten posters, but only five could fit on his closet door. How many different ways can he arrange the five posters out of the ten on his closet door?
A. 252
B. 648
C. 6,048
D. 30,240
Answers
Answer:
its c
Step-by-step explanation:
What is the value of x in the triangle below?
I know that...
6x
4x
2x
Answers
Step-by-step explanation:
the value of x is 15
this question was solved by 6x +4x+2x is equal to 180 degree the reason is being the angles of the triangle similarly you can solve more of the question of this type by using this concept
please mark me the brainliest
What is the equation of the circle with center (−2, 5) that passes through
the point (4, −1)? Write the steps and instructions to find the equation.
Answers
Answer:
Step-by-step explanation:
the equation is 8 cause 10 equals 8
Plz help me solve this thanks
Answers
Answer:
y= -6/7
Step-by-step explanation:
.............. I did it, trust me
find the value of x. what is the relationship of these 2 angles? set up and solve an equation
Answers
As it is right angled, thus it will be equal to 90.
= 2x + 5 + x + 25 = 90
= 3x + 30 = 90
= 3x = 60
= x = 60/3
= x = 20
Answer:
x = 20°
Step-by-step explanation:
[tex]2x + 5 + x + 25 = 90 \\ 3x + 30 = 90 \\ 3x = 90 - 30 \\ 3x = 60 \\ x = \frac{60}{3} \\ x = 20 \\ [/tex]
Help pleaseee (pre algebra)
Answers
Answer:
Robert had 78 coins or c=78
Can you see them ⟟ need help
Answers
Answer is 11/23 (11 over 23)
A store manager timed Janette
Answers
Answer:
more information please.
Step-by-step explanation:
A silver bracelet weighs 106.5 grams, which is 21.3 times the weight of a silver coin.
If represents the weight of the coin, which equation can be used to find ?
Answers
write the equation to the axis of symmetry for this graph. help??
Answers
The axis of symmetry is essentially a line that splits the function into equal halfs. To to find the axis of symmetry all you have to do is look for the highest or lowest part of the function.
In this case the lowest part is at the coordinates (3,-2).
And the axis of symmetry is the x-coordinate.
So your answer is x = 3.
The equation y=8.50x + 33 can be used to estimate the monthly premium y of a $250,000 term life insurance policy for a male smoker who is more than 40 year old. In this equation, x is the age of a man above 40. For example, a 60 year old male smoker, x =20. Estimate the monthly insurance premium for a 48-year old male smoker. (Show all work)
Answers
Answer:
$101
Step-by-step explanation:
Given
[tex]y = 8.50x + 33[/tex]
[tex]x \to[/tex] age above 40
Required
Insurance for 48 years old
First, we solve for x
[tex]x = 48 - 40[/tex]
[tex]x = 8[/tex]
So, we have:
[tex]y = 8.50x + 33[/tex]
[tex]y = 8.50 * 8 + 33[/tex]
[tex]y = 68 + 33[/tex]
[tex]y = 101[/tex]
Aarti posted a comment on her blog. Each day the number of responses to her comment was 125% of the number she received on the previous day. If there were 64 responses the first day, how many were there on the fourth day?
Answers
Answer:
156 were there on the fourth day.
Step-by-step explanation:
125% of the number she received on the previous day
This means that the previous day number is multiplied the 125%/100% = 1.25.
64 responses the first day
This means that the number of responses after x days is given by:
[tex]R(x) = 64(1.25)^x[/tex]
How many were there on the fourth day?
This is R(4). So
[tex]R(4) = 64(1.25)^4 = 156[/tex]
156 were there on the fourth day.
Answer:
125
Step-by-step explanation:
A vacant city lot is being turned into a neighborhood garden. The neighbors want to fence in a triangular section of the lot and plant flowers there. The longest side of the triangle section is 8 feet shorter than twice the shortest side. The third side is 2 feet longer than the shortest side. The perimeter is 58 feet. How long is each side?
Answers
Step-by-step explanation:
=>>. Hello mate. (◕ᴗ◕✿)
= Given :-
perimeter of traingle = 58 feet
let the third side be. "X" feet longest side = (2x - 8) feet shorter side = (x + 2) feetPerimeter of traingle = sum of all three sides
=> A/q. ,
( x ) + ( 2x - 8 ) + ( x + 2) = 58. ✓✓✓
x + 2x - 8 + x + 2 = 58
=>. 4x - 6 = 58
=> 4x = 58 + 6
=> 4x = 64
=>. x = 64/4
=|. x = 16 feet
length of third side = 16 feet length of shorter side = 18 feet length of longest side = 24 feet
Hope it helps you.......
Which of the following is the net of a pyramid?
Answers
Answer:
The answer is A
Step-by-step explanation: a net of a pyramid will always have a square and 4 triangles around it.
What is the area of the parallelogram shown?
Answers
Answer:
Area = 96 square m
Step-by-step explanation:
[tex]Area = base \times height = 12 \times 8 = 96 \ m^2[/tex]
Answer:
The area of parallelogram is 96 m ².
Step-by-step explanation:
According to the question , we have given a parallelogram with base 12 m and height is 8 m. We need to find the area of parallelogram.
Solution :-Using Formula
Area of parallelogram = Base × Height
Substitute the values into this formula
Area of parallelogram = 12 m × 8 m
multiply, we get
Area of parallelogram = 96 m²
Therefore, The area of parallelogram is 96 m ².
factorize for me
y + 3y + 2-sin2x=0
Answers
Answer:
−(−4y−2+sin2(x))=0
Step-by-step explanation:
The functions f(x) and g(x) are shown on the graph.
F(x) = x² what is the g(x)?
A g(x)= (x-2)^2
B g(x)= (x+2)^2
C g(x)= 2x^2
D g(x)= (1/2x)^2
Answers
There is a compression from the graph of the parent function to have g(x) = (1/2x)^2 or 1/4x^2
Vertical stretch of a functionTransformation is a process of changing the position of an object on the xy-plane
Given the parent function for a quadratic equation given as h(x) = x²
If you look at g(x), you can see that there is a compression from the graph of the parent function to have g(x) = (1/2x)^2 or 1/4x^2
Compression occur for the coefficient of x^2 that is less than 1
Learn more on https://brainly.com/question/24261456here:
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Logan bought stocks and later sold them for $3,437,500, making a profit of 25%. How much did he pay for the stocks?
Answers
Answer:
Logan bought the stocks at $2,750,000
Step-by-step explanation:
So according to the question $3,437,500 is the amount at which 25% interest was made
This means that the original value(100% value) has been increased to 125%(thus 100+25%)
By using ratio and proportion,
If 125%-$3437500
then 100% ={100%/125%}×$3,437,50
=$2,750,000
A man deposits $ 14,850 into a bank, which pays 4% interest that is compounded
semiannually. What will he have in his account at the end of three years?
Answers
Given:
Principal = $14850
Rate of interest = 4% compounded semiannually.
Time = 3 years
To find:
The amount after 3 years.
Solution:
Formula for amount is:
[tex]A=P\left(1+\dfrac{r}{n}\right)^{nt}[/tex]
Where, P is principal, r is the rate of interest in decimal, n is the number of times interest compounded and t is the number of years.
The interest is compounded semiannually, so n=2.
Putting [tex]P=14850, r=4, n=2, t=3[/tex] in the above formula, we get
[tex]A=14850\left(1+\dfrac{0.04}{2}\right)^{2(3)}[/tex]
[tex]A=14850\left(1+0.02\right)^{6}[/tex]
[tex]A=14850\left(1.02\right)^{6}[/tex]
On further simplification, we get
[tex]A=14850(1.12616242)[/tex]
[tex]A=16723.511937[/tex]
[tex]A\approx 16723.51[/tex]
Therefore, the amount in the account after three years is $16723.51.
Write this ratio as a fraction in simplest form without any units. 20 quarts to 9 gallons
Answers
Answer:
20/9
Step-by-step explanation:
20 quarts : 9 gallons
20/9(1 is the HCF of both values)
20/9
given a group of six students consisting of four female and two male how many different three member committee can be chosen from this group probability question
Answers
Given:
Total number of students = 6
Number of female students = 4
Number of male students = 2
To find:
Total number of outcomes if 3 students are chosen at random (Should i find the probability of something?)
Steps:
To find the total number of outcomes, we need to list the outcomes
Outcomes = {M,M,F} , {M,F,F} , {F,F,F}
Therefore, the total number of outcomes if 3 students are chosen at random is 3, if we don't consider order.
Could you elaborate the question a bit more if i made a mistake of what to find.
All the edges of the object in the diagram are equal in length. The object is cut by a vertical plane containing A and B and bisecting two of the horizontal edges. What
is the shape of the cross-section resulting from the cut?
СА.
an equilateral triangle
B.
a square
C.
a rhombus
D.
a regular hexagon
Answers
Answer:
The shape from the cross-section resulting from the cut would be a Rhombus
Step-by-step explanation:
Edmentum Plato users!
The shape of the cross-section resulting from the cut is C. Rhombus.
What is a rhombus?A rhombus simply means a shape that has opposite sides to be parallel and the sides are equal.
Here, the information states that the edges of the object in the diagram are equal in length and that the object is cut by a vertical plane containing A and B and bisecting two of the horizontal edges.
Therefore, the shape of the cross-section resulting from the cut is a rhombus.
Learn more about rhombus on:
https://brainly.com/question/20627264
On a coordinate plane, 3 lines are shown. Line m has points (negative 4, 3) and (0, negative 4). Line n has points (1, 2) and (3, negative 2). Line k has points (negative 3, negative 3) and (4, 1).
Use the diagram to answer the questions.
Is line m parallel to line n? Explain.
Is line m perpendicular to line k? Explain.
Answers
Answer:
actually, the answers are "No, the slopes are not equal"
and "Yes, the slopes are negative reciprocals".
Reason: just did it!!!!
Answer:
"No, the slopes are not equal"
and "Yes, the slopes are negative reciprocals".
Step-by-step explanation:
