Answers
The discriminant of the quadratic equation is q · (q + 8) < 0. The solution set of this inequality is (0, - 8).
How to determine the family of constants associated to non-real roots of a quadratic equation
The nature of the roots of quadratic equations of the form a · x² + b · x + c = 0 can be inferred by the understading of its discriminant under the following condition:
b² - 4 · a · c < 0
Where a, b, c are the coefficients of the polynomial.
If we know that a = 2 · q, b = q and c = - 1, then the equation of the discriminant is:
q² - 4 · (2 · q) · (- 1) < 0
q² + 8 · q < 0
And by algebraic handling, we find the set of possible values of q:
q · (q + 8) < 0
The solution set of this inequality is (0, - 8).
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Related Questions
Position and label each triangle on the coordinate plane.
isosceles ΔW X Y with height h and base W Y with length 2 a .
Answers
The position and label triangle on the coordinate plane is shown in figure.
And, The coordinates of ΔW X Y are W (-a, 0), Y (a, 0) and X (0, h).
Here,
Given that;
Isosceles ΔW X Y with height h and base WY with length 2a.
We have to draw position and label triangle on the coordinate plane.
What is Isosceles triangle?
A triangle that has at least two sides of equal length is called Isosceles triangle.
Now,
The position and label triangle on the coordinate plane is shown in figure
with isosceles triangle ΔW X Y with h and base WY with length 2a.
And, The coordinates of ΔW X Y are W (-a, 0), Y (a, 0) and X (0, h).
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how to solve 6x - 2y = 6 for x
Answers
Answer:
2x^2
Step-by-step explanation:
x
Lacey has two pieces of ribbon, one 30 inches long and the other 48 inches long. To decorate an album, she wants to cut them up to produce many pieces of ribbon that are all of the same length, with no ribbon left over. What is the greatest length, in inches, that she can make them?
Answers
The greatest length, in inches, that she can make from the two pieces of ribbon is 6 inches
Greatest common factorRibbon A = 30 inches longRibbon B = 48 inches longFind the factors of 30 and 48
30 = 1, 2, 3, 5, 6, 10, 15 and 30.48 = 1, 2, 3, 4, 6, 8, 12, 16, 24 and 48.The greatest common factor of 30 and 48 is 6
Therefore,
Ribbon A can be cut into = 30 / 6
= 5 pieces
Ribbon B = 48/6
= 8 pieces
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The art teacher gave each student half a sheet of paper and told the students to color one fourth of their pieces of paper. What part of the original sheet did the students color?
Answers
13. 4 people are splitting the
bill at a restaurant. If the
cost was $36.08, how much
will each person owe?
1
Answers
Answer:
Each person will owe $9.02
Step-by-step explanation:
Just divide 36.08 by 4
Answer:
$9.02
Step-by-step explanation:
36/4 = 9
8/4 = 2, so 0.08/4 = 0.02
36.08/4 = 9.02
Evaluate the expression 21 divided by 7(6 divided by 3) cube +1
Answers
Answer:
48 I think
Step-by-step explanation:
(6 divided by 3)= 2
2 cubed= 16
21 divided by 7= 3
3 times 16= 48
Answer:
Step-by-step explanation:
21 / 7(6/3)^3 + 1
= 21/7 * 2^3 + 1
= 3*8 + 1
= 25.
Si en la pandemia de 1918 murieron 40 millones ¿Qué porcentaje representa del total de la población mundial de ese año?
Answers
La "Gripe Española" de 1.918 acabó con 2.105 por ciento de la población mundial de su tiempo.
¿Cuál es el porcentaje de personas muertas por causa de la "Gripe Española" de 1918?
La "Gripe Española" fue una enfermedad respiratoria emparentada con los virus SARS-COV vistos en las últimas dos décadas que alimentó una pandemia que mató a decenas de millones de personas entre 1.918 y 1.920.
En esta pregunta debemos determinar el porcentaje de personas muertas con respecto a la población mundial de la época. Esto calcula al dividir el número de personas muertas por el número total de pobladores del mundo y multiplicar tal razón por 100.
La población aproximada del mundo en 1.920 fue de casi 1.900 millones de personas, entonces tenemos que el porcentaje de personas muertas es:
x = (40 000 000 / 1 900 000 000) × 100
x = 2.105 %
La "Gripe Española" de 1.918 acabó con 2.105 por ciento de la población mundial de su tiempo.
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4/7 x 35/28 x 70/30 x 12/5
Answers
4/7 x 35/28 x 70/30 x 12/5 is 4
Select the reason that best supports Statement 3 in the given proof
Answers
The correct is option A which is definition of bisector
What is bisect?
The term bisect refers to dividing into two equal parts. In mathematics, the term is used mostly in geometry, when a line intersects another line, say line A intersects line B, when the point of intersection is the mid point of line A. Then it can be said that line B is the bisector of line A. If the point of intersection is also the mid point of line B then line A also is the bisector of line B. Bisector then refers to the line that bisects the other.
The terms bisect and bisector is not used for lines alone it can be used in many other circumstances for instance say angle. An angle may be bisected into two equal parts two. An example is angle 180 degrees can be bisected to get angle 90 degrees. Angle 90 degrees can be further bisected to give angle 45 degrees.
Hence we can say that line DF which is 96 is bisected by line EG to get two equal parts of 48 each, This means that line EG intersects line DF at the midpoint
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Are parallel lines (parallelism) and collinear points (collinearity) preserved under all transformations? Explain.
Answers
Yes, all transformations such as translations, reflections, dilations, and rotations preserve parallel lines (parallelism) as well as collinear points (collinearity).
Parallel lines:
Parallel lines are coplanar straight lines that don't intersect at any point in geometry. Parallel planes are planes that never meet in the same three-dimensional space. Parallel curves are those that do not touch or intersect and maintain a constant minimum distance.Collinear points:
The collinearity of a series of points in geometry is the property of their being on a single line.A set of points with this property is known as a collinear set. In a broader sense, the term has been applied to aligned objects, that is, things that are "in a line" or "in a row."So,
Translation, reflection, dilation, and rotation are all examples of transformation. In all of the preceding cases, parallel lines or collinear points will remain parallel or collinear.Therefore, yes, all transformations such as translations, reflections, dilations, and rotations preserve parallel lines (parallelism) as well as collinear points (collinearity).
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Jeff brown has collected sales data for his cupcake stand. calculate the moving average forecast for period 13 with n = 4. round your answers to 2 decimals.
Answers
The moving average forecast for period 13 = 44.55.
What is average forecasting?A statistical technique for predicting long-term trends is the moving average. The method entails shifting the range while averaging a group of numbers from a particular range.The equation is as follows: previous month's sales x velocity = additional sales; subsequent month's anticipated sales are equal to additional sales plus the prior month's rate.You take each of the three periods in our three-period spread and apply a percentage of that period's average to create a weighted average. To get a more precise projection, we might, for instance, pick 15% of period 1, 20% of period 2, and then 35% of period 3.Calculate the moving average forecast for period 13 with n = 4. round your answers to 2 decimals.
The moving average technique averages a number of the most recent actual values in the data given for generating the forecast. When n=4, a four-period moving average is calculated by taking the average of 4 most recent actual values. Here we have to take the average of actual sales values of periods 9,10, 11, and 12.
Hence moving average forecast for period 13= (A9+A10+A11+A12)/4
= (60+48+41.2+29.0)/4
= 44.55
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How is finding a missing term of a geometric sequence using the geometric mean similar to finding a missing term of an arithmetic sequence using the arithmetic mean? How is it different?
Answers
The two are similar, because: in both AP and GP, we can find the mean value using first and last values.
The two are different because: in both AP and GP, different methods are used to find the mean value.
What is an arithmetic and a geometric progression?A series of numbers called an arithmetic progression or arithmetic sequence (AP) has a constant difference between the terms.A geometric progression, sometimes referred to as a geometric sequence in mathematics, is a series of non-zero numbers where each term following the first is obtained by multiplying the preceding one by a constant, non-zero value known as the common ratio.Now,
AP and GP are similar because the middle value, or mean value in both AP and GP, can be determined by using the initial and last values. They differ because there are various methods for calculating that number, and each phrase is distinguished by either a common ratio or a common difference.To learn more about arithmetic and geometric progressions, refer to the link: https://brainly.com/question/13899779
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State whether each sentence is true or false. If false, replace the underlined term to make a true sentence.
A right solid has an axis that is also an altitude.
Answers
The given statement "A right solid has an axis that is also an altitude" is False. The Correct statement is "A right Cone has an axis that is also an altitude".
The altitude of the cone is the perpendicular segment from the vertex to the plane of the base. The length of the altitude is also the height of the cone. So we can say that A right Cone has an axis that is also an altitude.
A right solid have an axis that is also an altitude is the incorrect statement. So, the correct statement is that a right cone has an axis that is also an altitude.
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The price of a technology stock has dropped to $9.53 today. Yesterday’s price was $9.64. Find the percentage decrease.
Answers
Answer:
1%
Step-by-step explanation:
9.64-9.53 = 0.11
0.11/ 9.64 = 0.011 x 100 = 1.1% or basically 1%
Evaluate the quantity one half raised to the fourth power times one half raised to the zero power end quantity all raised to the second power.
A - one over 32
B - one over 64
C - one over 128
D - one over 256
Answers
Answer: Your answer is A one over 32
Answer: 1/64
Step-by-step explanation:You need to multiply 1/2 by the other 1/2 as well not just the exponents.
According to Heron's Formula, if the lengths of the sides of a triangle are a, b and c, and s= (a + b + c)/2,
then the area, A, is given by the formula: A = √s(s-a) (s-b) (s-c). Find the area of a triangle whose
sides are 6ft, 7ft and 11ft.
O A = 21.1 ft²
O A = 18.4 ft²
OA = 19.0 ft²
O A = 20.0 ft²
Answers
Answer:
Hello,
answer C: 19.0ft (rounded to 1 digit)
Step-by-step explanation:
[tex]s=\dfrac{6+7+11}{2} =12\\\\A=\sqrt{12*6*5*1} =\sqrt{360}= 18,97366596...\approx{19.0}\ (ft^2)[/tex]
Answer:
19.0 ft^2.
Step-by-step explanation:
s = (6 + 7 + 11)/2
= 12
--> A = √[12(12-6)(12-7)(12-11)]
= √(12 * 6 * 5 * 1)
= √360
= 18.97
How much volume (in cm3 ) is gained by a person who gains 11.0 lblb of pure fat?
Answers
The person who have gained 11 lb. of pure fat will gain 5,500 cm³ of volume.
It is given in the question that the person gains 11 lb. of pure fat.
We have to find the volume (in cm3 ) gained by the person.
We know that,
The density of fat is about 0.9 grams/ml
Converting this in pounds, we get :-
0.9 grams/ml * 1 lb. / 454 grams * 1 ml / 1 cm³= 0.002 lb./cm³
We know the formula of density:-
Density = mass / volume
Hence,
Volume = mass / density
Volume = 11 / 0.002
Volume = 5,500 cm³.
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Please Help
Simplify (4⁴)−1.
Answers
Answer:
255
Step-by-step explanation:
[tex](4^4)-1 \\ \\ =256-1 \\ \\ =255[/tex]
Step by step:
I need this answered please
Answers
3a is a coefficient.
7b and 5b are like terms.
8 is a constant.
A coefficient in algebra is a number multiplied by a variable.
A term is a group of numbers or variables added together.
A constant is a number alone; no variable stands by it.
A factor is a number multiplied by either another number or a variable.
What is the answer to this problem?
Answers
Translate the triangle. Then enter the new coordinates.
Question is down below, please answer if you know! :)
Answers
Answer:
a - ( 3,0 )
b - ( 6,-3 )
c - ( 2, -3 )
Step-by-step explanation:
Hope this helps! I added 6 to the x and subtracted 4 from the y to translate it to the new position
Evaluate each infinite geometric series. 3+1+1/3 +1/9+ . . . .
Answers
2
Jonathan worked 5 1/2 hours on Monday and 8 3/4 hours on Tuesday. If he made $16 per
hour, how much money did he make in those two days? Show all of your work to arrive at an
answer. * (2 Points)
O $224.00
O $228.00
$88.00
O $140.00
3
Miranda bas $150 22 in her bank account She withdrew $82.50 to buy clothes then
Answers
Jonathan made $228 in these two days of working on Monday and Tuesday.
What is fraction?Fractions indicate pieces of a whole or group of objects. A fraction is divided into two pieces. The numerator is the number at the top of the line. It specifies how many equal pieces of the total or collection are taken. The number below the line is referred to as the denominator. It displays the total number of equal portions into which the whole is divided or the total number of the same objects in a collection.
Given that he makes $16 per hour
On Monday he made = 5 1/2 × 16
= $88
On Tuesday he made = 8 3/4 × 16
= $140
Total money he made = 140 + 88
= $228
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URGENTTT PLEASE HELP !! :3
Answers
#2 = -50
#3 = 0.2
If i’m not mistaken
Adriano runs a website that helps writers write better stories. Every month, Adriano receives a subscription fee of \$5$5dollar sign, 5 from each of the subscribers to his website. The website had 200200200 subscribers last month. This month 404040 new members joined the website and 101010 members cancelled their subscription.
How much money will Adriano’s online business earn this month?
Answers
The amount Adriano earns this month is $1150.
How much did Adriano earn?The amount Adriano would receive would increase by the number of new subscribers and reduce by the number of subscribers who cancel.
Total amount Adriano earns this month = (number of subscribers x subscription fee) + (number of new subscribers x subscription fee) - (number of people who cancelled x subscription fee)
(200 x $5) + (40 x $5) - (10 x $5)
$1000 + $200 - $50 = $1150
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Mr.faucet only has $220 left in his bank account until her gets paid friday. But he has a credit card with $3000 limit he can use if mr.fawcett wants to buy a $4000 necklace for his wife ,what will his credit card balance be after the purchase??
HELP
Answers
Answer: -1000
Step-by-step explanation:
A circular pillar candle is 2.8 inches wide and 6 inches tall. What are the lateral area and surface area of the candle? Round to the nearest tenth if necessary.
Answers
Lateral area and surface area of candle is 52.8 inches² and 65.1 inches².
We are given the height and width of pillar candle. So, firstly writing the formula of lateral area and surface area of cylinder followed by calculation.
Lateral area of cylinder = 2πrh, where r stands for radius and h represents height.
Surface area of cylinder = 2πrh + 2πr²
Radius = diameter÷2
Radius = 2.8÷2
Radius = 1.4 inches
Keep the values in formula for calculation -
Lateral area of cylinder = 2×3.14×1.4×6
Lateral area of cylinder = 52.78 inches²
Surface area of cylinder = 2×3.14×1.4×6 + 2×3.14×1.4²
Surface area of cylinder = 65.09 inches²
Rounding off to nearest tenth-
Lateral area of cylinder = 52.8 inches²
Surface area of cylinder = 65.1 inches²
Hence, the lateral area and surface area of cylinder is 52.8 inches² and 65.1 inches².
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Express the function f(x) = [tex]\frac{x+1}{7}[/tex] in y=mx+b
Answers
Answer: f(x)= 1/7 * x + 1/7
Step-by-step explanation:
f(x) = (x+1)/7
f(x) = x/7 + 1/7
f(x)= 1/7 * x + 1/7
Please really someone help need to have this done tonight!!!!!!!!
I'd really appreciate it!
125 students have volunteered to be on the prom committee. 2 of those students will be randomly chosen to win free tickets to the prom. How many different ways can the winners be chosen?
Does order matter? Answer
No
This is a Answer
combination
.
How many different ways can winners be chosen?
Answer
125
Answer
C
Answer
2
= Answer
7750
What is the probability that the first two students who signed up will be the winners? P(1st two students who signed up win) = Answer
Answers
Using the combination formula, it is found that:
There are 7750 different ways for the winners to be chosen.The probability that the first two students who signed up will be the winners is 1/7750.The order in which the students are chosen is not important, as for example, João and Elisa is the same outcome as Elisa and João, hence the combination formula is used to solve this question;
What is the combination formula?[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula, involving factorials.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
2 students are chosen from a set of 125, hence the number of combinations is:
[tex]C_{125,2} = \frac{125!}{2!123!} = 7750[/tex]
There are 7750 different ways for the winners to be chosen.
The first two students winning is only one outcome, hence:
The probability that the first two students who signed up will be the winners is 1/7750.
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Y is between points J and A.
J A = 17 and Y A = 3.
What is J Y?
Enter your answer in the box.
Answers
Answer: JY=14
Step-by-step explanation:
JA=JY+YA
17=JY+3
17-3=JY+3-3
JY=17-3
JY=14
