Number of solution for the given quadratic equation as Discriminant=0 is equals to 1.
What is quadratic equation?" Quadratic equation is defined as the polynomial containing variables with highest exponent equals to 2."
Formula used
For quadratic equation
[tex]ax^{2} +bx+c=0[/tex]
Discriminant = b²-4ac
According to the question,
Given quadratic equation
[tex]-3 = x^{2} +4x+1[/tex]
⇒[tex]x^{2} +4x+1 +3 =0[/tex]
⇒[tex]x^{2} +4x+4 =0[/tex]
Here, a=1 , b= 4 , c =4
Substitute the value in the formula we get,
Discriminant = [tex]4^{2} - 4(1)(4)[/tex]
= [tex]16 -16[/tex]
= 0
Number of solution discriminant =0 is 1.
[tex]x^{2} +4x+4 =0[/tex]
⇒[tex](x+2)^{2} =0[/tex]
⇒[tex]x= -2[/tex] has unique solution.
Hence, number of solution for the given quadratic equation as Discriminant=0 is equals to 1.
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TriangleABC and triangle DEC are
A. Similar
B. Not similar
Answer:
i guess not similar....
Step-by-step explanation:
After performing 1 simulation as the first step in her significance test, Emma does 99 more. For each simulation, she randomly reorganizes the subjects into two groups, A and B, of size 25. In the simulations, group A always plays the role of the treatment group and group B the role of the control group.
After each simulation, she subtracts the average for group B from the average for group A. The distribution of the differences for all 100 simulations is shown in the histogram.
In the original experiment, the average for the treatment
group was 1.6 higher than the average for the control group.
In what percentage of simulations is the average for group A at least 1.6 higher than the average for group B?
Answer Choices:
A: 1
B: 5
C: 1.6
D: 2
Using the histogram, it is found that the percentage of simulations is the average for group A at least 1.6 higher than the average for group B is given by:
A: 1.
What is an histogram?An histogram is a graph that shows the number of times each element of x was observed.
In this problem, the histogram shows that out of the 100 simulations, only 1 had a difference of at least 1.6, as the bin corresponding to [1.6, 2] has value of 1 and the bins to the right of this have values of 0.
Hence, the percentage is given by:
P = 1/100 x 100% = 1%.
Which means that option A is correct.
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Please help me yall feedback would be appreciated!!
Answer:
1/13
Step-by-step explanation:
There are 2 red 5's in a standard 52-card deck ( a red 5 of hearts and a red 5 of diamonds ) and then there are 2 black 6's in a 52-card deck ( a black 6 of clubs and a black 6 of spades )
So in total there are 4 cards that we want out of 52.
So the probability of getting a red five or a black six is 4/52 or 1/13
Answer:
Step-by-step explanation:
This is an or question. You can choose either one; both are possible and the smaller probability add.
Red 5: 2/52
There are 26 red cards. 2 of them are 5s (diamonds / hearts). You are still drawing from a complete pack of 52
Black 6: 2 / 52
There are 26 black cards. 2 of them are 6s (Clubs / spades). You are still drawing from a complete pack of 52
2/52 + 2/52 = 4/52
Divide top and bottom by 4
4/4 // 52 /4
1 / 13
Answer: 1/13 or 0.077
A triangle is inside of a rectangle. The triangle has a height of h and a base of b. Section 1 is to the left of the triangle, and section 2 is to the right.
Look at the drawing of a triangle within a rectangle. The triangle and the rectangle have the same base, b, and height, h.
If the area of the triangle is 48 square units, what is the total area of sections 1 and 2?
square units
Answer:
I think its 40
Step-by-step explanation:
Answer:
48
Step-by-step explanation:
Got it right on the assignment.
Hope this helps!!
The mass of 1 tablespoon of syrup is as heavy as 5 teaspoons of cooking oil. The mass of 2 teaspoons of cooking oil is 12 g lighter than 1 tablespoon of syrup.find the mass of 1 teaspoon of cooking oil
Answer:
1 tsp of oil = 4 g
Step-by-step explanation:
1 Tbsp of syrup = 5 tsp of oil
2 tsp of oil = 1 Tbsp of syrup - 12 g
2 tsp of oil = 5 tsp of oil - 12 g
-3 tsp of oil = -12 g
1 tsp of oil = 4 g
There are 100 patients in a hospital with a certain disease. Of these, 10 are selected to undergo a drug treatment that increases the percentage cured rate from 50 percent to 75 percent. What is the probability that the patient received a drug treatment if the patient is known to be cured?
Answer:
1/7
Step-by-step explanation:
hope this helps x have a great day
A line that includes the point (10, 0) has a slope of 1/10 slope-intercept form? What is its equation in slope-intercept form?
Step-by-step explanation:
[tex](y - 0) = \frac{1}{10} (x - 10) \\ y = \frac{1}{10} (x - 10)[/tex]
What is the volume of a right circular cylinder with a base diameter of 18 yd and a height of 3 yd?
Enter your answer in the box. Express your answer using π.
I've seen people answer with 763.4yd^3 or 254pi yd^3 . Please answer if you know 100%. Also please show your work.
Answer:
[tex]V=763.407[/tex] yd^3
Step-by-step explanation:
Formula for volume of right circular cylinder.
[tex]V=\pi r^{2}*6[/tex]
[tex]r=\frac{d}{2}[/tex]
We are given the diameter (d) and the height (h).
First solve for r.
[tex]r=\frac{18}{2}[/tex]
[tex]r=9[/tex]
Now we have everything we need to find the volume. Plug in r into the volume formula.
[tex]V=\pi *9^{2} *3[/tex]
[tex]V=763.407[/tex] yd^3
BRAINLIEST :D?
Find the length of c. Round your answer to the nearest tenth.
Answer:
c = 12
Step-by-step explanation:
This is a special triangle, also known as the 30-60-90 triangle. See the help image attached for another special triangle known as the 45-45-90 triangle. 30-60-90 triangle has specific rules that we can apply to this problem:
hypotenuse = 2xline opposite of 30° = xline opposite of 60° = x√3With that being said....
c = 2x
6 = x
a = x√3
We know that x = 6, so now solve for a & c:
c = 2(6) = 12
a = 6√3
Hope this helps!
HELPPPPPPPPPP!!!!!!!!!!!!!
A. true
B. false
C. false
D. false
hope it helps
have a good day :)
The perimeter of an envelope is 30 inches. It is 6 inches tall. How wide is it?
Answer:
The perimeter of an 30 inch wide = 20inches wide bro
Step-by-step explanation:
You are mowing your neighbor's lawn. He is going to pay you $20.00 for the first two hours and $5.00 for anything after that. Which algebraic expression represents how much you will be paid for working h hours?
I NEED THIS ANSWER ASAP!!
Answer:
20+5(x-2) im pretty sure
Step-by-step explanation:
For each table, determine whether the relationship shows a linear function. If
so, write the function.
X
1
y
b) 1
c)
y
y
1
9
O
3.2
1
O
4.2
2
4
5.2
3
8
6.2
4
16
7.2
5
24
2345
6303
-3
246
2
4
6
8
Step-by-step explanation:
7.2
5
24
2345
6303
-3
2467.2
5
24
2345
6303
-3
246
The linear function is given by table B and the equation y = ( 1/2 )x + 3.2
What are Linear Equations?An equation is said to be linear equation in two variables if it is written in the form of ax + by + c=0, where a, b & c are real numbers and the coefficients of x and y, i.e a and b respectively, are not equal to zero.
The linear equations in one variable is an equation which is expressed in the form of ax+b = 0, where a and b are two integers, and x is a variable and has only one solution
On a graph, a linear equation forms a straight line. On a graph, a nonlinear equation produces an S-curve, a bell curve, or another nonlinear shape.
Given data ,
Let the linear function be represented as A
Now , the value of A is
Let the x values be x = { 0 , 2 , 4 , 6 , 8 }
Let the y values be y = { 3.2 , 4.2 , 5.2 , 6.2 , 7.2 }
Now , the equation of line is y - y₁ = m ( x - x₁ )
where m is the slope
m = ( 4.2 - 3.2 ) / ( 2 - 0 )
m = 1/2
On simplifying , we get
y - 3.2 = ( 1/2 ) ( x - 0 )
Adding 3.2 on both sides , we get
y = ( 1/2 )x + 3.2
Hence , the linear function is y = ( 1/2 )x + 3.2
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this graph shows how much money Jack spent on toys.If Jack purchase 5 toys,how much money will he spend?
Differentiate cosec5x
[tex]\dfrac{d}{dx} \csc(5x)\\\\=-\csc(5x) \cdot \cot (5x) \cdot \dfrac{d}{dx} (5x)\\\\=-5\csc(5x) \cdot \cot(5x)[/tex]
Use the product-to-sum formula to convert the expression to a sum or difference. Simplify where is possible.
Answer:
sin3t*cos(s)*cos(t)+sin3t*sin(s)*sin(t).
Step-by-step explanation:
sin3t*cos(s-t);
1) cos(s-t)=cos(s)cost+sin(s)sint; then
2) sin3t*cos(s-t)=sin3t*cos(s)*cos(t)+sin3t*sin(s)*sin(t).
giving out 93 points for this question!!! need this ASAP!!
Answer: D
Step-by-step explanation:
The function is continuous. There are no discontinuities, or sharp bends in the curve where the slope is undefined. It extends to negative infinity and goes on to positive infinity. A matter of fact, it looks like a graph of x^2 shifted by a few coordinates. The function therefore is constantly increasing from negative infinity to positive infinity. The function never decreases
12. An empty avocado crate weighs 4.2 kg. How many avocados weighing 0.3 kg each can be added before the total weight of the crate reaches 15.0 kg?
The best way to convince employers of your skills and abilities is to _____. a. provide a written list, such as in your resume b. offer proof by example in answering interview questions c. have the employer contact your references d. none of the above
Answer:
A.
Step-by-step explanation:
B and C seem to stray away from what the question originally asked.
Answer:
the answer is B ( offer proof by example in answering interview questions)
Step-by-step explanation:
hope this helps:)
ed 2023
Draw a box- and- whisker plot that corresponds to the given data set 31, 12, 8, 25, 23, 17, 20, 13
The box-and-whisker plot that displays the five-number summary of the given data is: option B.
How to Draw a Box-and-whisker Plot?A box-and-whisker plot displays the five-number summary of a data, which includes, the min and max values, medain, upper and lwoer quartiles.
To draw a box-and-whisker plot, find the five-number summary of the data, 31, 12, 8, 25, 23, 17, 20, 13:
Minimum: 8First Quartile: 12.5Median: 18.5Third Quartile: 24Maximum: 31Therefore, the box-and-whisker plot that displays the five-number summary of the given data is: option B.
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Find the area of the shaded region.
How much would it cost to tile a room that is 279 square feet If each 6 inch tile cost $0.65?
Answer:
$362.70
Step-by-step explanation:
the area of a square 16/36sq foot how do u get side length of the sq?
We know that, the area of a square with side being s, is given by s², so if we here assume our side of square whose area is (16/36) sq. foot being s, so we will be having :
[tex]{:\implies \quad \sf s^{2}=\dfrac{16}{36}}[/tex]
[tex]{:\implies \quad \sf s=\pm \sqrt{\dfrac{16}{36}}}[/tex]
But, as length can never be -ve, so we will be taking only +ve length, and if we solve further for s, it will yield ;
[tex]{:\implies \quad \sf s=\sqrt{\dfrac{16}{36}}}[/tex]
[tex]{:\implies \quad \sf s=\dfrac{\sqrt{16}}{\sqrt{36}}}[/tex]
[tex]{:\implies \quad \sf s=\dfrac46}[/tex]
[tex]{:\implies \quad \boxed{\bf{s=\dfrac{4}{6}=\dfrac{2}{3}}}}[/tex]
Well, you might be thinking that (2/3)² willn't give (16/36) rather it will give (4/9), so for this, I'm telling that (2/3) ≈ 0.66666...7 and (4/6) ≈ 0.66666...7, so it's just the same thing and also, (16/36) and (4/9) are just too the same thing, dividing the numerator and denominator of (16/36) will just lead to (4/9) as same as (2/3)²
Please assist me with these question. I am having a hard time
Step-by-step explanation:
[tex] \frac{1}{3x} + \frac{7}{ {x}^{2} } + \frac{x + 2}{x} [/tex]
[tex] \frac{x}{ {3x}^{2} } + \frac{21}{3 {x}^{2} } + \frac{3 {x}^{2} + 6x}{3 {x}^{2} } [/tex]
[tex] \frac{ {3x}^{2} + 7x + 21 }{ {3x}^{2} } [/tex]
Choice D
can someone please give me the right answer and please help me asap
Answer:
congruent
Step-by-step explanation:
if r_1=r_2 then, they should be the same... -congruent
Examine the following wavelength.
2 functions on a coordinate plane. One has 7 wavelengths and the other has 3.5 wavelengths.
What is the ratio of the wavelengths of these two notes?
a.
5 to 4
b.
3 to 2
c.
6 to 5
d.
2 to 1
Please select the best answer from the choices provided
Answer:
d. 2 to 1
Step-by-step explanation:
The ratio of wavelengths will be inversely proportional to the number of them that are found in any given distance.
__
If the same distance shows 3.5 wavelenths of one function and 7 wavelengths of another, the ratio of wavelengths is ...
7 : 3.5 = 2 : 1
Which of of the following statements are true? Select all that.
Answer:
I think the answer is <1 and <4 are supplementary angles
Yosef waters a date tree and a lemon tree. The lemon tree is 8 feet tall, The
equation I) 3 x 8 can be used to find the height of the date tree. How do the
heights of the two trees compare?
The lemon tree in 3 feet taller than the date tree.
The lemon tree is 3 times as tall as the date treo,
The date tree is 3 feet taller than the lemon tree.
The date tree is 3 times as tall as the lemon tree,
Done -
My Progress
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The relationship between the heights of the tree is the date tree is 3 times as tall as the lemon tree.
What does division mean?Division is the process of determining the quotient of two or more numbers. The sign used to denote division is ÷. Division is one of the basic mathematical operations.
What is the relationship between the trees?Height of the date tree / height of the lemon tree
3 x 8 /8 = 3
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An unknown number x is at most 10. Which graph best represents all the values of x?
Answer:
It is the last one.
Step-by-step explanation:
I know Math :)
Rearrange the equation and solve for x.
2 = x2 + 6x + 11
Answer:
-3
Step-by-step explanation:
It's a lot of work, I'm not typing that into here