Answer:
Quadratic Equations ⇒ D, E, F
Step-by-step explanation:
Let us say that each of these equations can only be defined as a quadratic equation if it can be factored / solved through completing the square / application of quadratic formula as solve for the value of x;
[tex]A. 2x - 1 = 0, Add + 1 to either side,\\2x = 1, Divide sides by 2,\\x = 1 / 2 ; Not Quadratic Equation[/tex]
[tex]B. 2x^2 - 1 = 0, Add + 1 to either side,\\2x^2 = 1, Divide sides by 2,\\x^2 = 2, Take | | of x, \sqrt{x} - either side \\\| x | = \sqrt{1 / 2},\\x = \sqrt{1 / 2} = - \sqrt{1 / 2} ; NotQuadraticEquation[/tex]
[tex]C. 2x^2 - 1, NotInForm - ax^2 + bx + x = 0 ; NotQuadraticEquation[/tex]
[tex]D. 3x^2 + 5x - 1 = 0, Add 1 to either side,\\3x^2 + 5x = 1, Divide sides by 3,\\x^2 + 5x / 3 = 1 / 3, Solve for a,\\2ax = 5 / 3x, Divide sides by 2x,\\a = 5 / 6, Add a^2 - ( 5 / 6 )^2 to either side,\\x^2 + ( 5x / 3 )^2 + ( 5 / 6 )^2 = 1 / 3 + ( 5 / 6 )^2, simplify,\\( x + 5 / 6 )^2 = 37 / 36, solve for x,\\x = ( \sqrt{37} - 5 ) / 6 = ( - \sqrt{37} - 5 ) / 6 ; QuadraticEquation[/tex]
[tex]E. x - x^2 + 5 = 0, Similar Form ; QuadraticEquation\\[/tex]
[tex]F. - 4x^2 + x = 0, Factor the Expression,\\- x * ( 4x - 1 ) = 0, Apply Zero Product Property,\\x = 0, and, 4x - 1 = 0,\\x = 0 = 1 / 4 ; QuadraticEquation[/tex]
The quadratic equations are:
2x² - 1 = 0
2x² - 1
3x² + 5x - 1 = 0
x - x² +5 = 0
-4x² + x = 0
Options B, C, D, E and F are the correct answer.
What is a polynomial?Polynomial is an equation written as the sum of terms of the form kx^n.
where k and n are positive integers.
We have,
A polynomial with degree 2 is called a quadratic equation.
A.
2x – 1 = 0
This is not a degree 2 equation.
B.
2x² - 1 = 0
This has degree 2.
C.
2x² - 1
This has degree 2.
D.
3x² + 5x - 1 = 0
This has degree 2.
E.
x - x² +5 = 0
-x² + x + 5 = 0
This has degree 2.
F.
- 4x² + x = 0
This has degree 2.
Thus,
B, C, D, E, and F are quadratic equations.
Learn more about polynomials here:
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You are going to use an incline plane to lift a heavy object to the top of a shelving unit with a height of 5 ft. The base of the incline plane is 15 ft from the shelving unit. What is the length of the incline plane?
Answer:
15.8 ft
Step-by-step explanation:
The inclined plane, the base of and the shelving unit form the shape of a right angled triangle.
The hypotenuse is the length of the inclined plane, h.
The base of the triangle is 15 ft.
The height of the triangle is 5 ft.
To find the hypotenuse, h, we have to use Pythagoras rule:
[tex]h^2 = a^2 + b^2[/tex]
where a = height of the triangle
b = base of the triangle
Therefore:
[tex]h^2 = 5^2 + 15^2\\\\h^2 = 25 + 225 = 250\\\\h = \sqrt{250}\\ \\h = 15.8 ft[/tex]
The inclined plane is 15.8 ft long.
Identify the like terms in the expression.
Answer:D
The answer is D.
Step-by-step explanation:
Like terms are only related to the variable at the end, and the variable also has to have the same exponent or it is not a like term.
(3x5−2x4−5)−(2x4+x2−10) Subtract the two polynomials
Answer:
3x^5-4x^4-x^2+5
Step-by-step explanation:
(3x^5−2x^4−5)−(2x^4+x^2−10)
Distribute the minus sign
(3x^5−2x^4−5)−2x^4-x^2+10
Combine like terms
3x^5-4x^4-x^2+5
Hello!
Answer:[tex]\boxed{ \bf 3x^5~-~4x^4~-~x^2~+~5}[/tex]
__________________________________Explanation:(3[tex]x^{5}[/tex] - 2[tex]x^{4}[/tex] - 5) - (2[tex]x^{4}[/tex] + x² - 10)
Drop the brackets:
3[tex]x^{5}[/tex] - 2[tex]x^{4}[/tex] - 5 - 2[tex]x^{4}[/tex] - x² + 10
Combine Like Terms:
3[tex]x^{5}[/tex] - 2[tex]x^{4}[/tex] - 2[tex]x^{4}[/tex] - x² - 5 + 10
3[tex]x^{5}[/tex] - 4[tex]x^{4}[/tex] - x² + 5
The line plot shows the result of a survey asking students how many hours they spent reading last week. How many students spent 5 or more hours reading?
Answer:
15 total students
Step-by-step explanation:
Based on the line plot picture that is attached below it can be calculated that a total of 15 students spent 5 or more hours last week reading. This can be easily calculated by adding all the x's on the marks of 5 hours or more. With both the boys and girl students combined the tally was the following
5 hours : 4 students
6 hours : 1 student
7 hours : 3 students
8 hours : 3 students
9 hours : 0 students
10 hours: 2 students
11 hours : 2 students
12 hours : 0 students
adding up to 15 total students
What the answer to this
Answer:
I think it might be a I don't know for sure though I just need some more points so I can ask a question myself sorry if this didn't help
What is the slope of the graph? slope = -1/3 slope = -3 slope = 3 slope = 1/3
Answer:
The slope is -3
Step-by-step explanation:
This is so because the line in pointing down, leading to the fact that the slope is negative, and rise over run is 3/1......
Therefore, the slope of the line is -3
To find the slope of the line, first start with a point on the graph.
Let's use the point (0,3) which we call point A.
The other point we will call point B.
Now remember that slope can be found using the ratio rise/run
between any two points that are on that line.
To get from point A to point B along this line, we must
first go down 3 units so we say that our rise is -3.
From there we move 1 unit to the right so our run is 1.
So our slope or rise/run is -3/1 which reduces to -3.
Find the value of a . A.18 B.21 C.20 D.17
Answer:
a =18
Step-by-step explanation:
The two angles are vertical angles and vertical angles are equal
6a +11 = 2a+83
Subtract 2a from each side
6a-2a +11 = 2a-2a+83
4a +11 =83
Subtract 11 from each side
4a +11 -11 = 83-11
4a = 72
divide each side by 4
4a/4 = 72/4
a =18
John has two jobs and earns a total of $2,345 per month. What percent of his gross income does John receive from his second job where he makes $609.70 a month?
Answer:
10000000.9
Step-by-step explanation:
8. Where will the hour hand of a clock stop if it starts:
a.
from 7 and turns through 1 right angle?
b. from 11 and turns through 3 right angles
can you plz say me the answer
Answer:
a. 11
b. 9
Step-by-step explanation:
thats the answer
How many digits will be in the quotient?
39 4,641
Answer:
the answer is 119 so three digits
Step-by-step explanation:
Answer:
3 digits
Step-by-step explanation:
4641/39=119
please solve y = 3x - 1
Step-by-step explanation:
i think question is not complete.
A man divides his 360 cattle between his son in the ratio 7: 6: 5. Find the smallest share
360/18=20
20*7=140
20*6=120
20*5=100
Answer=140:120:100
Answer: smallest share is 100
Step-by-step explanation:
7:6:5
Add the numbers so 7+6+5=18
Divide 360 by 18 which equals 20
Multiply each ratio by 20 so...
7×20:6×20:5×20
140:120:100
Before graduating this year, a senior homeroom was given a survey. Of those surveyed, 24% felt they learned better at home. Of this group, 80% said they plan on taking an online course in college. Of the students who felt they did not learn better at home, 40% said they plan on taking an online course in college
Part A
What is the probability a person who does not plan on taking an online course felt they learned better at home?
A : 2/21
B : 24/125
C : 38/125
D : 19/31
E :None of these
Part B
What is the probability a person who does plan on taking an online course felt they did not learn better at home?
A : 2/21
B : 24/125
C : 38/125
D : 19/31
E : None of these
Answer:
(A) The correct option is (A).
(B) The correct option is (E).
Step-by-step explanation:
The events can be defined as follows:
X = students felt they learned better at home
Y = students plan on taking an online course in college
The information provided is:
P (X) = 0.24
P (Y|X) = 0.80
P (Y|X') = 0.40
[tex]P(Y'|X)=1-P(Y|X)\\=1-0.80\\=0.20[/tex]
[tex]P(Y'|X')=1-P(Y|X')\\=1-0.40\\=0.60[/tex]
The Bayes' theorem states that the conditional probability of an event E[tex]_{i}[/tex] given that another event A has already occurred is:
[tex]P(E_{i}|A)=\frac{P(A|E_{i})P(E_{i})}{\sum {P(A|E_{i})P(E_{i})}}[/tex]
(A)
Compute the probability a person who does not plan on taking an online course felt they learned better at home as follows:
Use the Bayes' theorem.
[tex]P(X|Y')=\frac{P(Y'|X)P(X)}{P(Y'|X)P(X)+P(Y'|X')P(X')}[/tex]
[tex]=\frac{0.20\times 0.24}{(0.20\times 0.24)+(0.60\times 0.76)}\\\\=0.09524\\\\\approx 0.095[/tex]
Thus, the probability a person who does not plan on taking an online course felt they learned better at home is 0.095 or 2/21.
(B)
Compute the probability a person who does plan on taking an online course felt they did not learn better at home as follows:
[tex]P(X'|Y')=1-P(X|Y')\\=1-0.095\\=0.905[/tex]
Thus, the probability a person who does plan on taking an online course felt they did not learn better at home is 0.905.
Can someone please help
Answer:
The numbers to input are 2, 2 , 7
Step-by-step explanation:
252 = 2² * 3² * 7
So the numbers to input are 2, 2 , 7
(6) Work out
5 1
6 12
Answer:
=123
Step-by-step explanation:
Jasper decided to save $100 at the end of each month for a year and deposit it in a bank account that earns an annual interest rate of 0.3%, compounded monthly. Use the formula for an annuity, F, to determine how much money will be in the account at the end of the 6th month, rounding your answer to the nearest penny.
Note: Your interest rate must be converted to a decimal
Answer: 600.38
Step-by-step explanation:
just put in the answer you lazy
Please Help !!! MATHS GCSE DATA HANDLING QUESTION. thanks xx
Answer:
A) 29men
B) 91cm
C) 13cm
Step-by-step explanation:
Men with waist of 85cm = 11
A.) Men with waist of more than 85cm = (total number of men - 11) = (40 - 11) = 29men
B.) median waist :
Median = (n) / 2
Where n = number of observations
Median = (40) / 2 = 40/2 = 20th
Taking the intersection of the 20th point on the x-axis,
Median waist = 91cm
C.) Interquartile range(IQR) = (Q3 - Q1)
Q3 = 3/4(n)
Q3 = 0.75 × 40 = 30
Q3 = 97cm
Q1 = 1/4(n)
Q1 = 0.25 × 40 = 10
Q1 = 84cm
IQR = 97 - 84 = 13cm
Three investors own a company. One partner owns 1/4 of the company, while the second partner owns 2/5 of the company. How
much does the third partner own?
Answer:
7/20
Step-by-step explanation:
you find the least common denominator then you add them which gives you 13/20 then you subtract 20/20 minus 13/20 which gives you 7/20
have a meh day
Answer:
[tex]\frac{7}{20}[/tex]
Step-by-step explanation:
First, add the shares of the first two investors
[tex]\frac{1}{4} +\frac{2}{5} = \frac{13}{20}[/tex]
Then, you subtract that from the total shares of the company, which is 1
[tex]1 - \frac{13}{20} = \frac{7}{20}[/tex]
what is the greatest common factor for 9m+ 27m²
Answer:
9m
Step-by-step explanation:
Both of them are divisible by 9 and 1 m
When you factor and pull out 9m, you will get
9m (1 + 3m)
HELPPPPPP ITS ABOUT EQUATIONSSSS HELPPPPP Explanation needed HELPPPPP PLEASEE THIS IS THE LAST QUESTION LEFTTTTTTT
Answer:
C. the average total cost for the first month of a gym membership
Step-by-step explanation:
x=1 is for month 1,
the value of y includes 1-month fee and one off payment, so this is the average total for the first month of membership
Answer:
It is the average total cost for the first month of a gym membership
Step-by-step explanation:
y = 34.99x+49
The 49 is the cost to join the gym and the 34.99 is the monthly cost
Let x =1 which is the cost after one month
It includes the cost to join and the 1st month membership
It is the average total cost for the first month of a gym membership
pleass more math help
En un programa de televisión se hacen 30 preguntas. Por cada respuesta correcta se suman 8 puntos, por cada respuesta errónea se restan 5 puntos y por aquellas preguntas que no se contesten no se suman ni se restan puntos. Si un participantes obtuvo 13 puntos, ¿Cuantas respuestas erróneas pudo tener?
Answer:
7 wrong answers.
Step-by-step explanation:
We know that when you answer a question well, you earn 8 points and a bad one loses 5 points, this means that when you answer 1 good and 1 bad, there is a total of 3 points (8-5).
This means that when answering 5 good and 5 bad, in total it would be 3 * 5 points, that is to say 15 points, that is, it goes through 2 points. To subtract 2 points, you would have to answer 1 good and 2 bad, (8 - 2 * 5), which turns out to be -2 points.
In total there would be 6 questions right and 7 questions wrong, like this:
8 * 6 + 5 * 7 = 13
13 points, in 13 questions (6 correct + 7 incorrect)
The rest of the questions were not answered so that the score does not go up or down.
Which means you got 7 wrong answers.
Which angle in ADEF has the largest measure?
Answer:
F is the largest angle
Step-by-step explanation:
The largest angle is opposite the largest side. The smallest angle is opposite the smallest side.
The largest side is 4 so the largest angle is F
The lateral area of a right cone which has a base diameter of 4 units and a height of 10 units is:
Answer:
≈64.08
Step-by-step explanation:
Lateral Area=πr[tex]\sqrt{h^{2} +r^{2} }[/tex]
Radius is 1/2 of the diameter so r=2
Height=10
Substitute:
: [tex]3.141(2)\sqrt{10^{2}+2^{2} } \\6.282\sqrt{100+4} \\6.282\sqrt{104} \\ 64.066.282*10.2\\ 64.076\\\\[/tex]
64.076 rounded = 64.08
The price of a computer was decreased by 7% to £500. What was the price before the decrease? Give your answer to the nearest penny.
Answer:
£537.63
Step-by-step explanation:
Let the original price of the computer be x.
The price of a computer was decreased by 7% to £500. This implies that:
x - 7/100 * x = 500
x - 0.07x = 500
0.93x = 500
x = 500/0.93 = £537.63
The price before the decrease was £537.63.
The circumference of the earth is given.
Circumference of earth: 24,901 miles
What is the diameter of earth? Round your answer to the nearest tenth. Use 3.14 for π.
Answer:
7930.3 miles = d
Step-by-step explanation:
The circumference equals
C = pi *d
24901 = 3.14 d
Divide each side by 3.14
24901 / 3.14 = d
7930.254777 = d
Rounding to the nearest tenth
7930.3 =d
Please answer correctly !!!!!!! Will mark brainliest !!!!!!!!!!
Answer:
9 years.
Step-by-step explanation:
Make x the number of years passed.
[tex]\frac{39+x}{3+x}=4[/tex]
12 + 4x = 39 + x
27 = 3x
x = 9
Brass contains copper and zinc in the ratio 2:1. How much ZINC is there in 750 g of brass?
Answer:
250
Step-by-step explanation:
copper: zinc : total
2 1 2+1 =3
We have 750 brass
750/3 = 250
Multiply each by 250
copper: zinc : total
2*250 250 3*250
500 250 750
please help me, maths is hard, and at the moment i wish maths wasn't real. brainliest will be given
Answer:
£60
Step-by-step explanation:
Let [tex]x[/tex] be the original price.
[tex]x \times (1-10/100) = 54[/tex]
[tex]x \times 90/100 = 54[/tex]
[tex]0.9x=54[/tex]
[tex]x=54/0.9[/tex]
[tex]x=60[/tex]
What is the shape of the cross-section formed when a cylinder intersects a
plane as shown in the drawing?
Answer:
circle,
Step-by-step explanation:
disc in the middle vertically in this case is equal to the bases
The intersection is called an Oval. Hence the correct option is A. An oval in mathematics is a shape just like a circle but with an elongated outline like the shape of an egg.
What is a Cross-section?A cross-section is a surface, an area that is created or exposed by executing a straight cut across or through a shape.
Cross-sections in technical drawings are used for depicting the internal view of an object that is three-dimensional.
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