Answers
Answer:
\(f(x)=\left(x-9\right)^2-\frac{220}{3}\)Step-by-step explanation:
Take the coefficient of ''x'', divide it by two, and squared it:
\((\frac{-18}{2})^2=81\)Now, add and subtract this value and re-organize on the standard form:
\(f(x)=a(x-h)^2\)\(\begin{gathered} f(x)=x^2-9x+\frac{23}{3} \\ f(x)=x^2-9x+81+\frac{23}{3}-81 \\ f(x)=\left(x-9\right)^2-\frac{220}{3} \end{gathered}\)Related Questions
Randall is purchasing a home priced at $220,000. He agrees to 4.75%
interest over 20 years, and the bank tells him that after his down payment, his
monthly payment will be $1,299.42. What will the total of all of Randall's
payments be over the lifetime of the mortgage?
Answers
Answer:
$311860.8
Step-by-step explanation:
We are given;
Interets; I = 4.75% = 0.0475
Monthly payments; P = 1299.42.
Time period; n = 20 years or 240 months
Since he pays 1299.42 every month, then after 240 months, he has paid;
1299.42 × 240 = $311860.8
how do u graph the solution y=2x-1 iready
Answers
Answer:
Step-by-step explanation:
y=mx+b
m= slope and b= y intercept
you'll start with a point on the y axis on -1
and the slope will go up so towards the right corner up but 2/1 points
HELP PLS READ
writing books on wattpad go read them :)
my username is averysksks
don't forget to vote on them :)
Answers
Answer:
Step-by-step explanation:
what are your books about?
Brenna is considering which brand of cereal to buy. She knows some brands contain a lot of sodium, or salt, which she is trying to avoid. Crispee Flakes has 0.23 grams of sodium per cup. Corn Puffers has 0.28 grams of sodium per cup. Energy Doodles has 0.26 grams of sodium per cup.
How many of the brands have less than 1\4
of a gram of sodium per cup?
Answers
Using mathematical operations, we can say that only 1 brand has less than 1/4 grams of sodium per cup which is Crispy Flakes.
What are mathematical operations?An operation is a function in mathematics that transforms zero or more input values into a clearly defined output value.
The operation's arity is determined by the number of operands.
Basic arithmetic operations or calculations, such as addition, subtraction, multiplication, and division, are covered in Fundamentals of Mathematics and are concepts we learn in primary school.
Students will eventually study fundamental ideas like algebra, geometry, factors, ratios, etc. in upper classes.
So, we have that:
Crispy Flakes have 0.23 grams of sodium per cup.
Corn Puffers have 0.28 grams of sodium per cup.
Energy Doodles have 0.26 grams of sodium per cup.
Now, brands that have less than 1/4 gram of sodium per cup:
100 * 1/4 = 25
Then, 1/4 of 1.00 = 0.25
0.23 > 0.25
Therefore, using mathematical operations, we can say that only 1 brand has less than 1/4 grams of sodium per cup which is Crispy Flakes.
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27.5 percent of what is 13.75
Answers
Answer:
50Step-by-step explanation:
27.5 percent of what is 13.75
13.75 : 27.5 * 100 =
(13.75 * 100) : 27.5 =
1375 : 27.5 = 50
Identify the hypothesis and the conclusion for each of the following conditional statements. (a) If n is a prime number, then n2 has three positive factors.
(b) If a is an irrational number and b is an irrational number, then a⋅b is an irrational number.
(c) If p is a prime number, then p=2 or p is an odd number.
(d) If p is a prime number and p≠2 or p is an odd number.
(e) p≠2 or p is a even number, then p is not prime.
Answers
The hypothesis and conclusion are -
(a) Hypothesis : n is a prime number.
Conclusion : n² has three positive factors.
(b) Hypothesis : a and b are irrational numbers.
Conclusion : a · b is an irrational number .
(c) Hypothesis : p is a prime number.
Conclusion : p = 2 or p is an odd number .
(d) Hypothesis : ap is a prime number and p≠2 .
Conclusion : p≠2, p is an odd number .
(e) Hypothesis : p≠2 and p is a even number.
Conclusion : p is not a prime number .
What is irrational number?
A real number that cannot be stated as a ratio of integers is said to be irrational; an example of this is the number √2. Any irrational number, such as p/q, where p and q are integers, q≠0, cannot be expressed as a ratio.
The hypothesis of a conditional statement is the phrase immediately following the word if.
The conclusion of a conditional statement is the phrase immediately following the word then.
(a) If n is a prime number, then n² has three positive factors.
Hypothesis : n is a prime number.
Conclusion : n² has three positive factors.
(b) If a is an irrational number and b is an irrational number, then a⋅b is an irrational number.
Hypothesis : a and b are irrational numbers.
Conclusion : a · b is an irrational number .
(c) If p is a prime number, then p=2 or p is an odd number.
Hypothesis : p is a prime number.
Conclusion : p = 2 or p is an odd number .
(d) If p is a prime number and p≠2 or p is an odd number.
Hypothesis : ap is a prime number and p≠2 .
Conclusion : p≠2, p is an odd number .
(e) p≠2 or p is a even number, then p is not prime.
Hypothesis : p≠2 and p is a even number.
Conclusion : p is not a prime number .
Therefore, the hypothesis and conclusions are made.
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How many 1/2 inch cubes does it take to fill a box with width 4 inches, length 2 1/2 inches, and height 1 1/2?
Answers
Which of the following are terms in this expression? Select all that apply.
2+8c+d+b
HELPPPPPP I HAVE 20 MINUTES LEFT
Answers
Answer:
2, 8, c, b, dStep-by-step explanation:
Terms are any numbers or variables that represent numbers. In other words, 2, 8, c, d, and b are all the terms of this expression.
(b) At the beginning of the term, Caroline bought p notebooks and Bert bought 5 notebooks less than Caroline. During the term, Caroline gave 2 of her notebooks to her sister. Caroline then had twice as many notebooks as Bert. By writing a suitable equation, calculate the number of notebooks Caroline now has.
Answers
The number of Caroline's textbook is 8
What is word problem?A word problem is a math problem written out as a short story or scenario. Basically, it describes a realistic problem and asks you to imagine how you would solve it using math. If you've ever taken a math class, you've probably solved a word problem.
Represent the Notebook bought by Bert as q
q = p-5
p-2= 2q
p = 2q +2
substitute 2q +2
q = 2q+2-5
2q-q = 3
q = 3
substitute 3 for q
3 = p-5
p = 5+3
p= 8
Therefore Caroline's number of notebook is 8
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use the graph of f(x)=x^2 to write an equation for the function represented by each graph
Answers
The image of the function f(x) = x² is equal to g(x) = x² - 1.
How to derive the equation of a graph based on a parent function
In this problem we find the definition of a quadratic equation f(x) = x² and the graph of the image, whose expression must be derived. By direct inspection, we notice that the image is a vertical translation of the parent function. Vertical translations are defined by the following formula:
f(x) → f(x) + k, k > 0 for an upward translation.
If we know that f(x) = x² and k = - 1, then the equation for the image is:
g(x) = x² - 1
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A short order cook can prepare 40hamburgers in 30 minutes
Answers
Answer:1.33333333333 hamburgers every minute
Step-by-step explanation:40 burgers ÷ 30minutes = 1.333333 burgers every minute
PLEASE HELPPP ME YALLL!!!!
Write an equation in point-slope form for the line that passes through each point with the given slope.
(2, 3), m = –4
Answers
the sum of twenty four and forty is nineteen more than a number. what is the number?
im struggling lol
Answers
“The sum of twenty four and forty is nineteen more than a number”
Answer = 45
Write an equivalent expression for 2(3x + 5).
Answers
Answer:
I suggest that you use Socratic to solve this.
Step-by-step explanation:
\(\huge\text{Hey there!}\)
\(\huge\textbf{This equation requires us to do}\\\huge\textbf{distributive property.}\)
\(\huge\textbf{If you're unsure what the}\\\huge\textbf{distributive property formula is,}\\\huge\textbf{it is: }\)
\(\large\textbf{a(b + c)}\)
\(\large\textbf{= a(b) + a(c)}\)
\(\large\textbf{= ab + ac}\)
\(\huge\textbf{Now, that we have that information}\\\huge\textbf{out of the way, we can find the}\\\huge\textbf{result of your given equation.}\)
\(\huge\textbf{Your equation that you provided:}\)
\(\large\textbf{2(3x + 5)}\)
\(\large\textbf{= 2(3x) + 2(5)}\)
\(\large\textbf{= 6x + 10}\)
\(\huge\textbf{Do you see how interesting it was to}\\\huge\textbf{find the result to the question? }\huge\boxed{:)}\)
\(\huge\textbf{Anyway! Let's label our result since}\\\huge\textbf{we found it already while working it out.}\)
\(\huge\textbf{Thus, your answer should be: \boxed{\mathsf{6x + 10}}}\huge\checkmark\)
\(\huge\text{Good luck on your assignment \& enjo your day!}\)
~\(\huge\boxed{\frak{Amphitrite1040:)}}\)
If Sherry saves one-eighth of her paycheck and places it in a savings account, and each paycheck is $450,
then how much does she save?
Answers
Answer:
$56.25
Step-by-step explanation:
450/8=56.25
which products are purchased only after customer have compared a variety of similar and competitive products
Answers
please help me asap
Answers
Answer:
Step-by-step explanation:
it is B
Help plz
4 8
12 16 20
Number of rides
This is a linear relationship. (Example 2)
The table shows the temperature (y) at different altitudes (x).
10,000 12,000
19
11
0
Altitude (ft), x
Temperature (°F), y
2,000 4,000 6,000 8,000
51 43
35 27
59
3. Find the y-intercept by use of the table.
2. Find the slope for this relationship.
4. Write an equation in slope-intercept form
that represents this relationship.
5. Use your equation to determine the
temperature at an altitude of 5000 feet.
And plz help with 6
Answers
Hey there :)
These question's answer with explanation is attached. Please check.
\(Benjemein360 :)\)
PLS HELP WILL GIVE BRAINLIST - Which number represents a square root of 3 (cosine (StartFraction pi Over 2 EndFraction) + I sine (StartFraction pi Over 2 EndFraction) )?
Answers
Answer:
B
Step-by-step explanation:
Got it right on the test
(B) \(\sqrt{3} (cos(\frac{\pi }{4} )+i sin(\frac{\pi }{4} ))\)
Square root:The factor we can multiply by itself to obtain a given number is the number's square root. Sqrt, which stands for "square root of," is the sign for the term. Squaring an integer is the reverse of finding its square root.Steps to square root a trigonometric function -Find the given trigonometric equation.Put the square term on its own side of the equal sign.Taking square roots on both sides.By using inverse trigonometric functions, get the value of x.Explanation:De Moivre's theorem: \(z=r*[cos(\)θ\()+i*sin(\)θ\()}\)\(]\)
Raising both sides to the \(n^{th}\) - \(z^{n} =r^{n} *[cos(n*\)θ\()+i*sin(n*\)θ\()]\)
The square root operation undoes the squaring operation, so we'll be dealing with \(n=2\).
If you were to go with each choice, then you'll find that squaring choice (B) will lead to the original expression given.
\(z=\sqrt{3} *[cos(\frac{\pi }{4} )+i*sin(\frac{\pi }{4} )]\\z^{2} =(\sqrt{3} )*[cos(2*\frac{\pi }{4} )+i*(2*\frac{\pi }{4} )]\\z^{2} =3*[cos(\frac{\pi }{2})+i*sin(\frac{\pi }{2} )]\)
Therefore, the correct answer to the question is (B) \(\sqrt{3} (cos(\frac{\pi }{4} )+i sin(\frac{\pi }{4} ))\).
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Let's roll two dice and find the probability of rolling a certain sum. Is this a simple or compound event?
Two dice - Red and Blue
Recall that a simple event has one and only one outcome of interest. In this example, we are rolling two dice, but we are only interested in one outcome, the sum of the two dice. This is a simple event.
What is the probability of:
Rolling a sum of 1?
Rolling a sum of 3?
Rolling a sum of 12?
Rolling a sum of 7?
Since we are rolling a pair of dice and looking for the sum, the sample space is a little more complicated than rolling one die. The chart below will help us determine the possible outcomes. The top row indicates the numbers on the sides of the blue die and the first column represents the number on the sides of the red die. The white area indicates the sum of the numbers in the row and column.
# Rolled 1 2 3 4 5 6
1 1+1=2
1
+
1
=
2
1+2=3
1
+
2
=
3
1+3=4
1
+
3
=
4
1+4=5
1
+
4
=
5
1+5=6
1
+
5
=
6
1+6=7
1
+
6
=
7
2 2+1=3
2
+
1
=
3
2+2=4
2
+
2
=
4
2+3=5
2
+
3
=
5
2+4=6
2
+
4
=
6
2+5=7
2
+
5
=
7
2+6=8
2
+
6
=
8
3 3+1=4
3
+
1
=
4
3+2=5
3
+
2
=
5
3+3=6
3
+
3
=
6
3+4=7
3
+
4
=
7
3+5=8
3
+
5
=
8
3+6=9
3
+
6
=
9
4 4+1=5
4
+
1
=
5
4+2=6
4
+
2
=
6
4+3=7
4
+
3
=
7
4+4=8
4
+
4
=
8
4+5=9
4
+
5
=
9
4+6=10
4
+
6
=
10
5 5+1=6
5
+
1
=
6
5+2=7
5
+
2
=
7
5+3=8
5
+
3
=
8
5+4=9
5
+
4
=
9
5+5=10
5
+
5
=
10
5+6=11
5
+
6
=
11
6 6+1=7
6
+
1
=
7
6+2=8
6
+
2
=
8
6+3=9
6
+
3
=
9
6+4=10
6
+
4
=
10
6+5=11
6
+
5
=
11
6+6=12
6
+
6
=
12
How many outcomes are in the sample space? Answer
Answers
Answer:
the answer to your question how many outcomes is really gonn adepend on you you slove you problem but my amswer is gonna be 7.
Find the standard deviation of the sampling distribution of sample means using the given information. Round to one decimal place, if necessary. μ = 64 and o = 12; n = 9
Answers
The standard deviation of the data sample is 2.55.
What is the standard deviation of the data sample?The standard deviation of the data sample is calculated by applying the following formula;
S.D = √ (x - μ)²/(n - 1)
where;
μ is the mean of the distributionx is the sample datan is the number of sample dataThe given parameters;
mean, μ = 64
x, = 12
number of samples = 9
The standard deviation of the data sample is calculated as;
S.D = √ (12 - 64)²/(9 - 1)
S.D = 2.55
Thus, the standard deviation of the data sample is calculated by applying the formula for standard deviation.
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Use the long division method to find the result when 4x3 – 3.x2 5x + 2 is divided by x + 1. If there is a remainder, express the result in the form q(x) + r(2) b(c)
Answers
Let's develop the long division by dividing the given expressions
As you can observe, the division is exact because its remainder is zero.
Hence, the answer is -\(\frac{4x^3-3x^2-5x+2}{x+1}=4x^2-7x+2\)
Solve.
4 There are 42 tubes of oil paint on trays. Each tray
holds 6 tubes. How many trays of tubes are there?
Show your work.
7
Answers
Answer: 7
Step-by-step explanation:
Since there are 42 tubes and each tray can hold 6 tubes, it will be 42/6 which is 7.
Write the ratio:
10
to
68
as a fraction in lowest terms.
Answers
Answer:
5/34
Step-by-step explanation:
change 10:68 into 10/68, then divide by 2/2 to get 5/34.
Label the triangle sides, assuming the angle of interest is the 30-degree angle:
solve for
The side with x is the
blank side.
The side with y is the
NO SPAM I WILL REPORT YOU
blank side.
The side with 17 is the blank side
Answers
Check the picture below.
In a statistics course a linear regression equation was computed to predict the final exam score from the score
on the first test. The equation of the least-squares regression line was y=10+0.9x where y represents
the predicted final exam score and x is the score on the first exam.
Answers
As per the given equation of the least squares regression line y=10+0.9x the score of Carla's final exam is 95.5.
As given in the question,
Given equation of the least squares regression line is :
y = 10 + 0.9x
Where 'y' shows the predicted final exam score
And 'x' represents the score of the first exam.
Carla's first exam score is equal to 95
Then predicted value 'y' of the Carla's final exam score is given by :
y = 10 + ( 0.9 ) × 95
⇒ y = 10 + 85.5
⇒ y = 95.5
Therefore, the predicted final score of Carla's as per the given least squares regression line is equal to 95.5.
The above question is incomplete, the complete question is :
In a statistics course a linear regression equation was computed to predict the final exam score from the score
on the first test. The equation of the least-squares regression line was y=10+0.9x where y represents the predicted final exam score and x is the score on the first exam.
Carla scored 95 on the first test. What is the predicted value of the Carla's score on the final exam?
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Plz guys help me plz
Answers
Best luck with your studying
s a right triangle. If RQ = 8, what is PQ
Answers
Answer:
PQ = 4
Step-by-step explanation:
\(tan(30)=\frac{RQ}{8}\\RQ=8tan(30)\\RQ=\frac{8}{3}\\RQ=\frac{8}{3}/3\\HYPOTENUSE=8\\PQ = 4\\\)
y varies directly with x.
y is -50 when x is 10
What is x when y is 15?
Suppose
x = [?]
X
Answers
The value of x is -3 when value of y = 15 by using the property proportion as x and y are directly related to each other.
What is direct relation?
Two variables x and y are directly related to each other if x increases or decreases the value of y also increases or decreases proportionally.
We are given that value of y is -50 then value of x is 10
We have to find the value of x when y is 15
We solve it using proportion
we have,
10/x = -50/15
On separating the variable from the constant and then simplifying we get,
x=-3
Hence the value of x is -3 when y is 15
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Watch help video
Determine if the following system of equations has no solutions, infinitely many
solutions or exactly one solution.
D
3x+ y = 4
6x +y = 4
Infinitely Many Solutions
One Solution
Submit Answer
No Solutions
Pre here to search
Answers
Answer:
x = 0
y = 4
Step-by-step explanation:
\(3x + y = 4 \\ 6x + y = 4 \\ \\ 6x + y - (3x + y) = 4 - 4 \\ 6x + y - 3x - y = 0 \\ 6x - 3x = 0 \\ 3x = 0 \\ 3 = \frac{0}{3} \\ x = 0 \\ \\ \\ 3x + y = 4 \\ 3(0) + y= 4 \\ 0 + y= 4 \\ y = 4 - 0 \\ y = 4 \\ \)