Answer:
Step-by-step explanation:
Given:-
•α=
•β=
To Find:-
♦The Quadratic Equation using the Given details?
AnsWer:-
↓Quadratic Formula↓
→k[x²-(α+β)x+αβ]
→α+β=+
•Take LCM•
→α+β=+
→α+β=
→αβ=×
→αβ=
↑Using these Values in The Formula↑
→k[x²-(x)+() ]
★Let k=8★
→8[x²-(x)+() ]
→8x²-(-2x)+(-3)
→8x²+2x-3=quadratic Equation
The following is a list of books I read this summer what percent of my books were nonfiction nonfiction equals 8 fiction equals 17
Answer:
About 47% of books were nonfiction.
The actual percentage includes decimals and it would be this:
%47.0588235294
Solve for x: (5 points)
negative 4 over 3, multiplied by x minus 6 equals negative 26
a
−27
b
−15
c
15
d
27
Answer:
the problem is like that or is showing u how are the equations ?
The equation y = 16x describes the amount of money Louis earns, where x is the number of hours he
works and y is the amount of money he earns.
The table shows the amount of money Carl earns for different numbers of hours worked.
Carl's Earnings
(a) How much money does Carl earn per hour? Show your work.
(b) Who earns more per hour? Justify your answer.
Answer:
A) $14 per hour
B) Luis earns two dollars per hour more than Carl
Step-by-step explanation:
I really need help WILL GIVE BRAINLIEST
factor x^2+4x+2^2
Answer:
2
4
+
6
3
−
8
2
−
2
4
Step-by-step explanation: sorry it is like that I won't let me type straight.
Answer:
(x+2)^2
Step-by-step explanation:
x^2+4x+2^2
Simplify!!!
x^2 + 4x +4
2^2 is also know as squaring when a number is multiplied by itself, 2 x 2
Now time to factor, what you need to look at is the last two numbers and ask...
What two numbers add to give me 4 and multiply to give me 4
We look at the factors of 4: 1,2,2,4
As you can tell 1 and 4 definitely don't work because 1+4=5 or 1-4= -3 and so forth
Therefore 2,2 are the numbers we need!! Lets check just in case
2 +2 gives us 4 or 4x in this case
and 2 x 2 gives 4
Therefore when you factor you place the equation in factored form
(x+2)^2
I need help with this question. I cant figure out how to find revenue with just the cost function.
The equation of the profit function is P(x) = 269x - 4x^2 - 128
How to determine the profit functionThe profit function P(x) can be found by subtracting the cost function C(x) from the revenue function R(x), where R(x) = p * x:
So, we have
P(x) = R(x) - C(x)
Substitute the known values in the above equation, so, we have the following representation
P(x) = (285 - 4x) * x - (128 + 16x)
So, we have
P(x) = 285x - 4x^2 - 128 - 16x
Evaluate the like terms
P(x) = 269x - 4x^2 - 128
To find the profit for making and selling 3 million fans, we substitute x = 3 into the profit function P(x):
P(3) = 269(3) - 4(3)^2 - 128
P(3) = 643
For other number of fans, we have
P(5) = 269(5) - 4(5)^2 - 128
P(5) = 1117
P(9) = 269(9) - 4(9)^2 - 128
P(9) = 1969
P(12) = 269(12) - 4(12)^2 - 128
P(12) = 2524
Hence, the profits are 643, 1117, 1969 and 2524
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Enter the correct answer in the box
Simplify the expression (62)4
Answer:
62•4=248
\(63^{4} =2^{24}\)
Step-by-step explanation:
I didn't know which one you needed so here's both.
Christina figures the horse walks about twice as fast as she does. If her horse was hurt about 6 miles into her ride and her whole trip took 3 hours total, how fast does Christina walk in miles per hour?
Answer:
Horse is supposedly walking 2 miles per hour. If the horse is twice as fast as her she would be walking 1 mile per hour
Enter the number that belongs in the box as you solve the equation for x.
2(5x + 4) = 8
[?]x + [ ] = 8
Step-by-step explanation:
2(5x + 4) = 8
[10]x +[8]= 8
Shanta's cell phone compnay charges her $45 a month plus $0.25 for each text she uses over 250. How can Shant-
represent the cost of her cell phone bill for any month assuming that she uses over 250 texts?
Answer:
45 + .25x
Step-by-step explanation:
x represents the thing that changes, assuming this is for any given month and not multiple, 45 + .25x would be the answer
On the middle school basketball team, 8 players are 6th graders. Of the players, 40 percent are 6th graders. How many players are on the team?
In Tara's math class, each student made up a number pattern for classmates to identify. These are the numbers that Tara wrote. Find the pattern and identify the first and seventh numbers in the table.
a. first number:
b. seventh number:
Tara's Pattern
1st
2nd
3rd
4th
5th
6th
7th
3/8
5/16
9/32
17/64
33/128
9514 1404 393
Answer:
first number: 3/8seventh number: 129/512pattern: a[n] = (2^n +1)/(4×2^n)Step-by-step explanation:
The denominators have the sequence ...
8, 16, 32, 64, 128, ...
These values have a common ratio of 2, so this is an exponential pattern with a base of 2. Apparently, the multiplier is 4.
denominator = 4×2^n
The numerators have the sequence ...
3, 5, 9, 17, 33, ...
These values have no common ratio, but their differences are ...
2, 4, 8, 16
and those differences do have a common ratio of 2. That means an exponential value of 2^n will figure into the numerator value. When we compare the sequence 2^n = 2, 4, 8, 16, 32 to the actual numerators, we see the numerator values are ...
numerator = 2^n +1
So, the general term of Tara's fraction is ...
(2^n +1)/(4·2^n)
__
The first number is found in Tara's table: 3/8
The 7th number is (2^7+1)/(4×2^7) = 129/512
The pattern is ...
a[n] = (2^n +1)/(4×2^n)
Choose all the answers that apply. Which of the following is an example of an ion? Ar Na+ F+ Cl-
Answer:
Na+ and Cl- should be examples of an ion.
<Hope I answered your question>
Answer:
Na+ and Cl- should be examples of an ion.
Step-by-step explanation:
Pls help!! Thank u!!!!!
Answer:
C
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
just add the numbers on the right side of the equals sign together, if you get 2 2/3 the equation is true.
A rotation or turn always moves clockwise and never counterclockwise.
True
False
Answer:
False
Step-by-step explanation:
It can go in any direction
Answer:
False
Step-by-step explanation:
Rotations can be either clockwise or counterclockwise
helpppppophsbajjakska
Which statement is true about the function f(x) = 6x7?
The function is even because f(–x) = f(x).
The function is odd because f(–x) = –f(x).
The function is odd because f(–x) = f(x).
The function is even because f(–x) = –f(x).
Answer: The function is odd because f(–x) = –f(x).
Step-by-step explanation:
\(f(x)=6x^7\\\\f(-x)=6(-x)^7 = -6x^7\\\\\therefore f(x)=-f(-x)\)
The function is odd because f(–x) = –f(x).
How to determine the true statement?The function is given as:
f(x) = 6x^7
A function is odd if the following is true
f(-x) = -f(x)
Calculate f(-x)
f(-x) = 6(-x)^7
f(-x) = -6x^7
Calculate -f(x)
-f(x) = -6x^7
By comparison;
f(-x) = -f(x) = -6x^7
Hence, the function is odd because f(–x) = –f(x).
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Of the 800 participants in a marathon, 120 are running to raise money for a cause. How many participants out of 100 are running for a cause.A.12B.8C.20D.15
Let be "x" the number of participants out of 100 who are running for a cause.
According to the explained in the exercise, of the 800 participants in the marathon, 120 are running to raise money for a cause.
Based on this, you can set up the following proportion:
\(\frac{800}{120}=\frac{100}{x}\)Now you must solve for the variable "x", as following:
\(\begin{gathered} (\frac{800}{120})(x)=100 \\ \frac{800}{120}x=100 \\ 800x=100\cdot120 \\ 800x=12,000 \\ x=\frac{12,000}{800} \\ x=15 \end{gathered}\)Therefore, 15 participants out of 100 are running for a cause. The answer is: OPTION D.
where is the opposite of the opposite of -1.9 situated on the number line
Answer:
b
Step-by-step explanation:
An office building floor has a perimeter of 5.550 feet. What is the perime
of the floor in yarde?
Answer: 1850 yd
Step-by-step explanation:
3 feet is equal to 1 yard.
Divide 5550 by 3 to get 1850
What kind of number is -2?
Rational
Irrational
Not a real number
- - - - - - - - - - - - - - - - - - - - - - -- - - - - - - - - -
\(\large\blue\textsf{\textbf{\underline{\underline{Question:-}}}}\)
What kind of number is \(\bold{-\sqrt{2}}\)?
\(\large\blue\textsf{\textbf{\underline{\underline{Answer and How to Solve:-}}}}\)
First, let's look at each of the four sets of numbers:-
Rational. This number set includes natural numbers (positive numbers only, like 1, 2, 3, 4, 5, 6...), zero, integers (negative & positive numbers and zero) and fractions (1/2, 1/3, 1/4...)Irrational. This set includes numbers that have an infinite quantity of digits after the decimal point. Also, irrational numbers cannot be written as fractions.Not a real number. This set includes imaginary numbers (yes, such numbers exist in mathematics, believe it or not)Natural number. As I said earlier, this set includes positive numbers only.So in which set does \(\bold{-\sqrt{2}}\) belong?
First, it's negative, so it's not a natural number.
Then, it's not an imaginary number, so it doesn't belong in the "Not a real number" set.
It can't be written as a fraction, so it doesn't belong in the "Rational" set, but it does belong in the "Irrational numbers" set.
According to the answer and explanation, we conclude that the number \(\bold{-\sqrt{2}}\) belongs in the "Irrational number" set.
Good luck.- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
Solve using the tangent formula(real answers please)
Answer:
21.17
Step-by-step explanation:
tan= opposite/ adjacent
tan(36)= x/29
0.73= x/29
x= 21.17
divide and simplify x^2+7x+12 over x+3 divided by x-1 over x+4
Answer:
\(\dfrac{x^2+8x+16}{x-1}\)
Step-by-step explanation:
In general, "over" and "divided by" are used to mean the same thing. Parentheses are helpful when you want to show fractions divided by fractions. Here, we will assume you intend ...
\(\dfrac{\left(\dfrac{x^2+7x+12}{x+3}\right)}{\left(\dfrac{x-1}{x+4}\right)}=\dfrac{(x+3)(x+4)}{x+3}\cdot\dfrac{x+4}{x-1}=\dfrac{(x+4)^2}{x-1}\\\\=\boxed{\dfrac{x^2+8x+16}{x-1}}\)
Which of these are overlapping events?Drawing a Queen of Hearts or a Jack of Spades from a standard deck of cards
Drawing a face card or a 9 from a standard deck of cards
Drawing a Diamond or a Club from a standard deck of cards
Drawing a red card or a Queen from a standard deck of cards
Therefore , the solution of the given problem of probability comes out to be the right response is thus: "Drawing a red card or a Queen from a regular deck of cards is an overlapping occurrence."
What precisely is involved in the chance procedure?The primary objective of statistical inference, a branch of mathematics, is to determine the chance that a claim is true or that a specific event will occur. Chance can be represented by any number between 0 and 1, in which 1 typically represents certainty and 0 typically represents possibility. A probability diagram shows the chance that a specific event will occur.
Here,
Because the Queen of Hearts and Jack of Spades are not face cards or nines,
the occurrences "Drawing a Queen of Hearts or Jack of Spades from a standard deck of cards" and "Drawing a face card or a 9 from the a standard deck of cards" do not overlap.
A Queen of Hearts is both a red card and a queen, and a diamond is a type of red card and a club is a type of card, so the occurrences "Drawing a Diamond or a Club from a Standard Deck of Cards" and "Drawing a Red Card or a Queen from a Standard Deck of Cards" overlap.
The right response is thus: "Drawing a red card or a Queen from a regular deck of cards is an overlapping occurrence."
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Maci is paid biweekly and earns $1500 each paycheck. What is his yearly salary?
What is the formula for finding circumference given the radius?
Answer:
\(C = 2\pi r\\\)
Step-by-step explanation:
\(Circumference = 2\times \pi \times r\)
Find the length of the third side. If necessary, write in simplest radical form.
2√34, 6
The length of the third side is 2√34 + 6.
We can use the triangle inequality theorem to solve this problem. According to the theorem, the sum of any two sides of a triangle must be greater than the length of the third side.
Let x be the length of the third side. Then we have:
2√34 + 6 > x
Subtracting 6 from both sides, we get:
2√34 > x - 6
Adding 6 to both sides, we get:
x < 2√34 + 6
Therefore, the length of the third side must be less than 2√34 + 6.
To find the exact length of the third side, we need to check if the triangle inequality is satisfied for an equality. In other words, we need to check if:
2√34 + 6 = x
If this is true, then the given sides can form a triangle.
Simplifying the equation, we get:
x = 2√34 + 6
The exact length is 2√34 + 6 if the triangle inequality is satisfied for an equality.
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Express all real numbers greater than 5 in interval notation.
All real numbers greater than 5 can be expressed in interval notation as:
(5, ∞)
How to express all real numbers greater than 5 in interval notation?Interval notation is a way of representing an interval on a number line. Simply, it is a method of writing subsets of the real number line.
All real numbers greater than 5 can be expressed in interval notation as:
(5, ∞)
Where the round bracket "(" means 5 is not included in the interval, and the infinity symbol "∞" means the interval continues indefinitely to the right.
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PLEASE ANSWER
Write an equation in point-slope form passing through the given point and parallel to the given line:
(- 4, 4)
y = - 7/4x + 2
Answer:
y-4=-7/4(x+4)
Step-by-step explanation:
Point Slope Form: y-y*sub*1=m(x-x*sub*1)
Parallel lines have the same slope as the line to which they are parallel.
y-4=-7/4(x+4)
Hope this helps :)
Which function has the same range as f (x) = negative 2 StartRoot x minus 3 EndRoot + 8?
g(x) = -2√x + 8 is the function that has the same range as f(x) = -2√(x - 3) + 8. Both functions have the range of y ≤ 8
The function that has the same range as f(x) = -2√(x - 3) + 8 is g(x) = -2√x + 8. Both functions have the range of y ≤ 8.There are a few steps involved in determining which function has the same range as f(x) = -2√(x - 3) + 8. The range of a function refers to all the possible output values that the function can produce.Let's begin by examining the original function:f(x) = -2√(x - 3) + 8The square root symbol (√) implies that x-3 must be greater than or equal to 0. If x-3 is negative, then the function would produce an imaginary result.
Let's solve for x when f(x) = 0:0 = -2√(x - 3) + 8-8 = -2√(x - 3)4 = √(x - 3)16 = x - 3x = 19This tells us that the x-value that produces an output of 0 is x = 19. To determine the range, we need to find the maximum and minimum output values. We can use a graphing calculator or sketch a graph to determine the shape of the function and the range.The shape of the function suggests that the range is y ≤ 8, which means that the maximum value of the function is 8. This tells us that any function with the same maximum output value of 8 will have the same range as f(x).
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I need some help and my teacher is trying to look at me :|
Answer:
0 feet.
Step-by-step explanation:
She swam to an elevation of -5 feet. Then she swam up 5 feet. - 5 + 5 = 0. S0, she is now at an elevation of 0 feet.
Hope this helps! :D
Answer:
0
Step-by-step explanation:
-5+5= 0