Answer:Examples of quadratic equations are: 6x² + 11x – 35 = 0, 2x² – 4x – 2 = 0, 2x² – 64 = 0, x² – 16 = 0, x² – 7x = 0, 2x² + 8x = 0 etc. From these examples, you can note that, some quadratic equations lack the term “c” and “bx.”
Step-by-step explanation:
A quadratic equation in the variable x is an equation of the form ax^2 + b x + c = 0, where a, b, c are real numbers, a ≠ 0.
What are quadratic equations?Quadratics can be defined as a polynomial equation of a second degree, which implies that it comprises a minimum of one term that is squared. It is also called quadratic equations.
The standard form of a quadratic equation is;
Quadratic equations are the polynomial equations of degree 2 in one variable of type f(x) = ax^2 + bx + c where a, b, c, ∈ R and a ≠ 0.
These are the following examples of the quadratic equation;
x^2-2x
x^2+5x+6
x^2-5x
Any equation of the form p (x) = 0, where p (x) is a polynomial of degree 2, is a quadratic equation.
If we write the terms of p (x) in decreasing order of their degrees, then we get the standard form of the equation.
Learn more about quadratic equations here;
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Help please I would appreciate
Answer:
66 (no other answer)
Step-by-step explanation:
The number can be divided by 2 so its even. Its a multiple of 11. It is between 20 and 79. it is a multiple of 3.
The two figures are congruent. Find the values of the unknown variables.
Answer:
y = 71
z = 18
x = 14
Step-by-step explanation:
Figure on the right is simply figure on the left but flipped on its side. we know this because the question tells us the shapes are congruent (which means equal, the same)
This is getting more difficult!
The equation [tex]y = x^2 - 8x + 3[/tex] is an illustration of a quadratic equation
The vertex of the quadratic equation [tex]y = x^2 - 8x + 3[/tex] is (4,-13)
How to determine the vertex?The equation is given as:-
[tex]y = x^2 - 8x + 3[/tex]
A quadratic equation is represented as:
[tex]y = ax^2 + bx + c[/tex]
By comparison, we have:
a = 1; b = -8; c = 3
The x-coordinate of the vertex is:
[tex]x = -\frac b{2a}[/tex]
So, we have:
[tex]x = \frac 8{2*1}[/tex]
[tex]x = 4[/tex]
Substitute 4 for y in [tex]y = x^2 - 8x + 3[/tex]
[tex]y = 4^2 - 8 * 4 + 3[/tex]
[tex]y = -13[/tex]
When x = 2 and 3, we have:
[tex]y = 2^2 - 8 * 2 + 3 = -9[/tex]
[tex]y = 3^2 - 8 * 3 + 3 = -12[/tex]
When x = 5 and 6, we have:
[tex]y = 5^2 - 8 * 5 + 3 = -12[/tex]
[tex]y = 6^2 - 8 * 6 + 3 = -9[/tex]
So, the table of values is:
x y
2 -9
3 -12
4 -13
5 -12
6 -9
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Solve the equation k^2-6k=11 by completing the square
Answer:
k = ±2√5 + 3
Step-by-step explanation:
k² - 6k + 9 = 11 + 9(k - 3)² = 20k - 3 = √20k - 3 = ±2√5k = ±2√5 + 3[tex]k=3+2\sqrt5\ or\ k=3-2\sqrt5[/tex]
Step-by-step explanation:
[tex]k^2-6k=11[/tex]
_______________________________________________
Add one term in order to complete the square[tex]k^2-6k+(6\times\frac{1}{2})^2=11+(6\times\frac{1}{2})^2[/tex]
________________________________________________
Calculate[tex]k^2-6k+3^2=11+3^2[/tex]
_________________________________________________
Factor the expression using [tex]a^2\pm 2ab+b^2=(a\pm b)^2[/tex][tex](k-3)^2=11+3^2[/tex]
__________________________________________________
Calculate the power[tex](k-3)^2=11+9[/tex]
___________________________________________________
Calculate the sum or difference[tex](k-3)^2=20[/tex]
______________________________________________________
Split into two equations[tex]k-3=\sqrt{20}\ or\ k-3=-\sqrt{20}[/tex]
________________________________________________________
Move variables to the left side of the equation:[tex](k-3=\sqrt{20})[/tex]
[tex]k=\sqrt{20}+3\\ k=2\sqrt{5}+3[/tex]
____________________________________________________
Move variables to the left side of the equation:[tex](k-3=-\sqrt{20})[/tex]
[tex]k=\sqrt{20}+3\\ k=-2\sqrt{5}+3[/tex]
_____________________________________________________
So far:[tex]k=2\sqrt{5}+3\ or\ k=-2\sqrt{5}+3[/tex]
_____________________________________________________
Find the union of the solutions[tex]k=2\sqrt{5}+3\ or\ k=-2\sqrt{5}+3[/tex]
_____________________________________________________
I hope this helps you
:)
A frame contains 4 pounds of gold. suppose gold is worth $1,277 per ounce. how much would the gold in the frame be worth?
Answer:
$81,728
Step-by-step explanation:
For reference: 1 pound = 16 ounces.
Therefore, 4 pounds of gold must be 16 * 4 = 64 ounces.
Since each ounce is $1,277, we must have the total cost of the gold to be $1,277 * 64 = $81,728.
The key word here is "per", which means to multiply.
Answer:Answer:5,108
Step-by-step explanation:
What is the mean absolute deviation of Madison's exercise times?
Madison's
Exercise Times
20
25
35
40
55
Answer:
5
Step-by-step explanation:
Answer:
The mean absolute deviation would be 10.
Step-by-step explanation:
I calculated the answer in Microsoft excel. I used a bunch of excel formulas. I do not know how to insert some of the math symbols neccessary to show you my steps. Here is a picture of the formula.
help me!!!!Determine the value of each car after 5 years.
find the value of x in the triangle shown below
Answer:
D
Step-by-step explanation:
using Pythagoras' identity in the right triangle.
the square on the hypotenuse is equal to the sum of thesquares on the other two sides, that is
x² + 8² = 9²
x² + 64 = 81 ( subtract 64 from both sides )
x² = 17 ( take square root of both sides )
x = [tex]\sqrt{17}[/tex]
Answer:
√17 (Option D)⠀
Step-by-step explanation:
This is Right Angled Triangle.⠀
We'll solve this using the Pythagorean Theorem.
⠀
Let,
x be BC, where BC is the Perpendicular.8 be AB, where AB is the Base.9 be AC, where AC is the Hypotenuse.⠀
We know that,
[tex]{ \longrightarrow \pmb{\qquad \: (AB) {}^{2} +( BC) {}^{2} = (AC) {}^{2} }}[/tex]
[tex]{ \longrightarrow \sf \qquad \: (8) {}^{2} +( x) {}^{2} = (9) {}^{2} } [/tex]
[tex]{ \longrightarrow \sf \qquad \: ( x) {}^{2} = (9) {}^{2} - (8) {}^{2}} [/tex]
[tex]{ \longrightarrow \sf \qquad \: ( x) {}^{2} = 81 - 64} [/tex]
[tex]{ \longrightarrow \sf \qquad \: ( x) {}^{2} = 17} [/tex]
[tex]{ \longrightarrow \it \qquad \pmb {x = \sqrt{17 \: \: } } }[/tex]
⠀
Therefore,
The value of x is √17 .17. Billy purchased 100 shirts at a cost of $15 each and planned to resell them. The first
week he sold some of them for $25 each. The second week he sold the rest for $20 each.
If his total profit was $600, how many shirts did he sell the first week?
Answer:
2100
Step-by-step explanation:
Regina created a playlist on her cell
phone. The playlist includes 3 pop songs, hip-hop songs, and 1 blues song. Regina will randomly choose 2 songs, without repeating a song, to play through her new earbuds. What is the probability that Regina will choose a pop song first and a hip-hop song second?
Answer: a 5/24
Step-by-step explanation:
3 + 5 + 1 = 9
First = Pop Song P = 3/9 = 1/3
Seconed = Hip Hop Song P2 = 5/9-1 = 5/8
So P = 1/3 x 5/8 = 5/24
So that makes A the correct answer
find the value of x in the triangle shown below
the answer is c (x=15)...
[tex]\large\bold\color{pink}{{★ƛƝƧƜЄƦ ↦}}[/tex]
[tex]\\ \large \rm{↠Given \: triangle \: is \: right \: angled \: triangle .}[/tex][tex]\\\rm{Pythagorean \: Theorem \: states \: that} \\ \\ \large \rm{↠Hypotenuse = \sqrt {Altitude^{2} + Base ^{2} } } [/tex]
[tex]\blue{\rule{15mm}{3.9pt}} \red{\rule18mm3.5pt} \gray{ \rule18mm3.5pt}[/tex]
Here,
Hypotenuse = AC ( x )Altitude = AB ( 12 )Base = BC ( 9 )[tex]\blue{\rule{15mm}{3.9pt}} \red{\rule18mm3.5pt} \gray{ \rule18mm3.5pt}[/tex]
[tex]\rm{↠Substituting \: values }[/tex]
[tex] \large\rm{↠AC= \sqrt {AB^{2} + BC ^{2} } } \\ \\ \large\rm{↠x = \sqrt{12 ^{2} + 9 ^{2} } } \\ \\ \large\rm{↠x = \sqrt{144 + 81} } \\ \\ \large\rm{↠x = \sqrt{225} } \\ \\ \large\rm{↠x =15 }[/tex]
Option C ✓[tex] \underline{\rule{100mm}{3.2pt}}[/tex]
[tex]\sf{\:мѕнαcкεя\: ♪...}[/tex]
Annie wants to use the problem-cause-solution order to organize a persuasive speech to reduce violence on campus. she begins by offering statistics of incidents to show that there is a need for action. what is a possible next step
The possible next step that Annie should use in the persuasive speech is to discuss the lack of street lamps and campus security as causes of the problem.
What is a persuasive speech?It should be noted that a persuasive speech simply means a speech that is used to convince an individual to agree to a particular perspective.
In this case, the possible next step that Annie should use in the persuasive speech is to discuss the lack of street lamps and campus security as causes of the problem.
Learn more about speech on:
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A skydiver in a computer game free-falls from a height of 3000 meters at a
rate of 55 meters per second. Which equation can be used to find the
height of the skydiver after tseconds?
4 2/4 + 1/9 =
what is the answer i need to know now
Answer:
4.61
Step-by-step explanation:
Step-by-step explanation:
[tex] = 4 \frac{2}{4} + \frac{1}{9} \\ = \frac{4 \times 4 + 2}{4} + \frac{1}{9} \\ = \frac{18}{4} + \frac{1}{9} [/tex]
Find the LCM
[tex] = \frac{18}{4} \times \frac{9}{9} + \frac{1}{9} \times \frac{4}{4} \\ = \frac{162}{36} + \frac{4}{36} \\ = \frac{166}{36} [/tex]
Convert into lowest term
[tex] \frac{83}{16} \\ [/tex]
The amount of money Camilla earns varies directly with the number of hours she works. If she earns $150 when she works 20 hours, how much will she earn for working 60 hours?
What is k ? (k = y/x)
What is the equation for the direct variation situation? (y = kx)
How much will she earn for working 60 hours?
What is k ? (k = y/x)
If y is dollars earned and x is hours worked,
k = y/x
k = 150 dollars /20 hours
k = 7.50 dollars per hour
What is the equation for the direct variation situation? (y = kx)
y = kx
y = (7.50)(60)
y = 450
How much will she earn for working 60 hours?
y = $450
She will earn $450 after working for 60 hours.
Sherlene bought 3 pounds of coffee and 2 pounds of chocolate for a total of $24. Which equation, written in standard form, correctly represents this scenario and correctly indicates what the variables represent? A) The correct equation is 3x + 2y = 24, where x is the price per pound of coffee and y is the price per pound of chocolate. B) The correct equation is 5x + y = 24, where x is the combined price per pound of coffee and chocolate, and y is the total number of pounds purchased. C) The correct equation is 3x + 2x + y = 24, where x is the combined price per pound of coffee and chocolate, and y is the total number of pounds purchased. D) The correct equation is 3x + 2y = 24, where x is the price per pound of chocolate and y is the price per pound of coffee.
the first day of shooting a movie, a director uses 30% of a film reel. The strip of
film used was 90 meters long.
What is the standard length on a film reel?
Answer:
27
Step-by-step explanation:
30% of 90 can be written as 30% × 90
= 30/100 × 90
= 27
Maria wants to determine which students is favored for president of the student council. Which of the following samples are biased and not freedom? Select all that apply.
O Surveying the boys in the freshman class.
O Surveying every other student in the cafeteria.
O Surveying all the students in her math class.
O Surveying 20 students from each grade at random.
O Surveying the students in the chess club.
Answer:
A, C, E,
Step-by-step explanation:
A)Surveying the boys in the freshman class.
C)Surveying all the students in her math class.
E)Surveying the students in the chess club.
Solve 7x -4 = 5x + 15 for x.
19/12
11/2
19/2
Answer:
Third option
Step-by-step explanation:
Given the following question:
[tex]7x-4=5x+15[/tex]
To find the answer we need to use inverse of operations to simplify the equation in till we isolate the variable and find the value of x.
[tex]7x-4=5x+15[/tex]
[tex]-4+4=0[/tex]
[tex]15+4=19[/tex]
[tex]7x=5x+19[/tex]
[tex]5x-5x=0[/tex]
[tex]7x-5x=2x[/tex]
[tex]2x=19[/tex]
[tex]2x\div2=x[/tex]
[tex]19\div2=\frac{19}{2}[/tex]
[tex]=\frac{19}{2}[/tex]
Your answer is the third option or "19/2."
Hope this helps.
A stained glass window has the dimensions shown. What is the perimeter of the hole that should be cut in the wall in order for the window to be installed?
Answer: She observed older fossils that contained many of the same minerals as the newer ones
Step-by-step explanation:
Answer:
chaupapi
\\
Step-by-step explanation:
What percent represents the shaded part of the hundredths grid shown? Please help asap!
Answer:
C. 5%
Step-by-step explanation:
if u count the shaded part it is 5 shaded out of 100 so that fraction is 5/100 which is .05 as a decimal and 5% as a percent
A pizza box is 20 inches wide, 18 inches long, and 2 inches tall.
How many square inches of cardboard were used to create the box?
Answer:
872 square in.
Step-by-step explanation:
The formula for the surface area of a rectangular prism is:
[tex]A=2(wl*wh*lh)[/tex]
Where w is the width of the prism, l s the length of the prism, h is the height of the prism, and A is the surface area.
Plugging in the numbers given, you get the following equation:
[tex]A=2((20*18)*(20*2)*(18*2))[/tex]
Which when calculated out, is 872 square in.
I think of a number multiply it by 2, subtract 3 and multiply by 4
Step-by-step explanation:
(2x - 3)×4
random number multiplied by 2, then minus 3 from that result, and multiply that result by 4.
Select all ordered pairs that could be added to this relationship and keep it a function:
(-2, -5) (0, -1) (1, 1) (4, 7)
Answer:
that's 4 and 7 .............
The owner of a music store ordered new compact disks. Of the new compact disks ordered,1/4 are Jazz, 2/7 are Classical, and the rest of the compact disks are Soft Rock. What fraction of the compact disks ordered are Soft Rock?
The fraction of the compact disks ordered by the owner of the music store that are Soft Rock is 13/28.
What are fractions?A fraction is a quantity that is not a whole number. In maths, a fraction usually has a numerator and a denominator. The numerator is the number above while the denominator is the number below.
What fraction is Soft Rock?1 - (1/4 + 2/7)
1 -[ (7 + 8) /28]
1 - 15/28 = 13/28
In 2010 Elmbrook Middle School had 100 students in the eighth grade. In 2011 the number of eighth
graders decreased by 10%. The 2012 eighth grade Class increased in size by 10% from 2011. How many
eighth grade students were enrolled at Elmbrook Middle School in 2011
Answer:
90 students
Step-by-step explanation:
So, if you have 100 students to start and it decreases by 10% then take the 100 and multiply it by .10. You should get 10. Then, subtract 10 from 100 and you end up with 90.
Answer:
hello
2010 = 100 students
2011 = 100 x 0.9 = 90
2012 = 90 x 1.1 = 99
Step-by-step explanation:
2/5 10+36-6 ................... HELP PLEASE
Answer:
if it is just the 10+36-6 then that is 40 but then if it is 2/5 10+36-6 then that would be 16
Step-by-step explanation:
add 10 and 36 which is 46 then subtract 6 which is 40 then get the 2/5 which would be 16 hope this helps you
Constants are numbers without letters attached.
What is the constant in the equation x/2 - 3?
answers:
2
-3
Answer:
constant = - 3
Step-by-step explanation:
[tex]\frac{x}{2}[/tex] - 3 = [tex]\frac{1}{2}[/tex] x - 3
the number without letters attached is the constant - 3
Answer:
-3
Step-by-step explanation:
The answer is -3 because 2 has a letter attached to it which is x/2 -3 is without a letter.
hope dis helps):
A total of 275 people took a driving theory test on Monday. Of these people, 68% passed the test.
a) (i) What percentage of people who took the test on Monday did not pass the test?
(ii) How many of the 275 people who took the test on Monday passed the test?
Answer:
a. 32%
B.8B.88
Step-by-step explanation:
100 -68=32%
32/100=x/275
100x=8800
x=88
can someone help me with this ?
Answer:
yes I can help you with this but I don't know it