Evaluate the following with each given number.
f(x)=7x−x2+2
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Related Questions
find the future value of $750 deposited each month at 3.25% for 15 years
Answers
Answer:
P=1538.461
Step-by-step explanation:
do it by the formula of
I=PRT, I=750 R=3.25% T=15
Change 3.7 hours into hours and minutes
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Answer:
222 minuets
Step-by-step explanation:
Given that 2x + 3y - 10 = 0 and 3x = 2y - 11, calculate the value of ( x - y ).
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now we know the value of x, so we substitute it into the equation
2(2/3 y - 11/3) + 3y -10= 0
Y=4
x=2/3 x 4 - 11/3
x= -1
-1 - 4 = -5
Answer:
x - y = - 5
Step-by-step explanation:
Given the 2 equations
2x + 3y - 10 = 0 ( add 10 to both sides )
2x + 3y = 10 → (1)
3x = 2y - 11 ( subtract 2y from both sides )
3x - 2y = - 11 → (2)
Multiplying (1) by 3 and (2) by - 2 and adding will eliminate the term in x
6x + 9y = 30 → (3)
- 6x + 4y = 22 → (4)
Add (3) and (4) term by term to eliminate the x- term
13y = 52 ( divide both sides by 13 )
y = 4
Substitute y = 4 into either of the 2 equations and evaluate for x
Substituting into (1)
2x + 3(4) = 10
2x + 12 = 10 ( subtract 12 from both sides )
2x = - 2 ( divide both sides by 2 )
x = - 1
Thus
x - y = - 1 - 4 = - 5
Three adjacent angles are at a point. The second angle is 25 degrees more than the first, and the third is 25 degrees more than the second, Find measurements of all 3 angles.
PLEASE NEED ANSWER ASAP
Answers
The measurement of the angles are 95°, 120°, and 145°.
How to calculate the angle?Let the smallest angle = x
Second angle = x + 25
Third angle = x + 25 + 25 = x + 50
x + x + 25 + x + 50 = 360
3x + 75 = 360
3x = 360 - 75
3x = 285
x = 285/3
x = 95°
Second angle = 95 + 25 = 120°
Third angle = 95 + 50 = 145°
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what are the solutions of 2x^2 + 8x + 26 = 0
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The solutions (or roots) of 2x^2 + 8x + 26 = 0 are -2 + 3i and -2 - 3i.
To find the solutions of 2x^2 + 8x + 26 = 0, we can use the quadratic formula which states that for an equation of the form ax^2 + bx + c = 0, the solutions (or roots) are given by:
x = (-b ± sqrt(b^2 - 4ac)) / 2a
In this case, a = 2, b = 8, and c = 26. Substituting into the formula, we get:
x = (-8 ± sqrt(8^2 - 4(2)(26))) / 2(2)
Simplifying inside the square root:
x = (-8 ± sqrt(8^2 - 208)) / 4
x = (-8 ± sqrt(-144)) / 4
Since the square root of a negative number is not a real number, we can say that the solutions to this equation are complex numbers. Specifically, the solutions are:
x = (-8 + 12i) / 4 = -2 + 3i
x = (-8 - 12i) / 4 = -2 - 3i
Therefore, the solutions (or roots) of 2x^2 + 8x + 26 = 0 are -2 + 3i and -2 - 3i.
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What is the range of the function g(x) = |x – 12| – 2?
{y | y > –2}
{y | y > –2}
{y | y > 12}
{y | y > 12}
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The range of the function g(x) = |x - 12| - 2 is {y | y > -2}, indicating that the function can take any value greater than -2.
To find the range of the function g(x) = |x - 12| - 2, we need to determine the set of all possible values that the function can take.
The absolute value function |x - 12| represents the distance between x and 12 on the number line. Since the absolute value always results in a non-negative value, the expression |x - 12| will always be greater than or equal to 0.
By subtracting 2 from |x - 12|, we shift the entire range downward by 2 units. This means that the minimum value of g(x) will be -2.
Therefore, the range of g(x) can be written as {y | y > -2}, which means that the function can take any value greater than -2. In other words, the range includes all real numbers greater than -2.
Visually, if we were to plot the graph of g(x), it would be a V-shaped graph with the vertex at (12, -2) and the arms extending upward infinitely. The function will never be less than -2 since we are subtracting 2 from the absolute value.
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barbara has 526 pieces of candy that she wants to share with the 19 students in her class.Barbara wants to make sure that each classmate gets the same amount of candy.How many pieces of candy will each of her friends recieve and how many pieces will she have left over for herself. Answers
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Answer: they will get 27 each and their will be 13 left over
Step-by-step explanation:
lf had his hourly salary increase from $9.25 per hour to $10.75 per hour, what's the percent increase in Jordan's salary
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Answer:
16.22%
Explanation:
The percent of increase can be calculated as:
\(\frac{v_f-v_i}{v_i}\times100\)Where vf is the final value and vi is the initial value. So, replacing vf by 10.75 and vi by 9.25, we get:
\(\frac{10.75-9.25}{9.25}\times100=\frac{1.5}{9.25}\times100=16.22\text{ \%}\)Therefore, the percent of the increase is 16.22%
define the random variables x and x in words. x is the amount of time an individual waits at the courthouse to be called for service. x is the mean wait time for a sample of individuals. x is the number of individuals at the courthouse to be called for service. x is the average number of individuals at the courthouse
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X is the amount of time individual waits at the courthouse to be called for service. X-bar is the mean wait time for a sample of individuals.
What is a random variable?
A random variable is a mathematical representation of a quantity or object that is affected by random events. It is a mapping or function from possible outcomes in a sample space to a measurable space, which is frequently real numbers.
Assume a committee is investigating whether there is excessive time waste in our judicial system. It is curious about the average amount of time people spend at the courthouse waiting to be called for jury duty. The committee polled 81 people who had recently served as jurors at random. The average wait time for the sample was 4 hours, with a standard deviation of 1.2 hours. In words, define the random variables X and.
X is the amount of time individual waits at the courthouse to be called for service. is the mean wait time for a sample of individuals.
The random variable X is the amount of time for which each of the prospective jurors waits at the courthouse before being called for service. is the mean wait time for the given sample of individuals. In the case given,
Hence, X is the amount of time individual waits at the courthouse to be called for service. X-bar is the mean wait time for a sample of individuals.
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Best answer gets Brainly :)
There’s a photo
Answers
Answer:
1.) \(3-6x\)
2.) \(3(x-6)\)
3.) \(x^3-6\)
answers are shown below
Answer:
Step-by-step explanation:
a population of n = 6 scores has σx = 12 and σx 2 = 54. what is the value of ss for this population?a. 54 b. 5 c.30 d. 9
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The value of SS for this population cannot be determined with the given information.
Can the value of SS be determined based on the given population data?The sum of squares (SS) for a population is calculated by summing the squared differences between each individual score and the population mean.
However, the given information provides the population standard deviation (σx = 12) and the population variance (σx^2 = 54), but it does not provide the population mean (μ).
Without the population mean, we cannot accurately calculate the value of SS. Therefore, the value of SS for this population cannot be determined based on the given information.
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how many different passwords are there that contain only digits and lower-case letters and satisfy the given restrictions? (a) length is 6 and the password must contain at least one digit. (b) length is 6 and the password must contain at least one digit and at least one letter.
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The number of ways are = 1867866560
What is permutations and combinations?By choosing some items from a set and creating subsets, permutation and combination are two approaches to represent a group of objects. It outlines the numerous configurations for a particular set of data. Permutations are the selection of data or objects from a set, whereas combinations are the order in which they are represented. Both ideas are critical to mathematics.Here, the differences between permutation and combination are described in detail. Here, we'll talk about both subjects with formulas, examples from everyday life, and questions that have been answered. Students can also work on the Permutation and Combination Worksheet to improve their understanding of this subject and learn shortcuts for answering more questions.According to our question-
The passwords contain only digits and lower-case letters.
Length is 6 and the password must contain at least one digit.
There are 26 lower case and 10 digits.
Total = 26+10=36
Length is 6 and the password must contain at least one digit.
Hence, The number of ways are = 1867866560
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9% as a fraction not simplified
Answers
Answer:
9/100
Step-by-step explanation:
% = over 100
9% = 9/100
Answer:
9/100
Step-by-step explanation:
Which of the following is a counterexample for this conditional statement?
If a pet is furry, then it is a hamster.
A. Hamster
B. Frog
C. Lizard
D .Dog
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Hi there! please please help:)) have a good day
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Answer:
b
Step-by-step explanation:
sorry if wrong dont report
Answer:
can barely read the graph luv :(
Use the Functions given to evaluate
f(g(-1)) =
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The answer would be -fg But, I'm not so sure about the graph so sorry!
Convert the given rectangularcoordinates into polarcoordinates.(-1, -2)
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Solution:
Given the rectangular coordinates below
\((-1,-2)\)To convert into polar coordinates, we will apply the formula below
\(\begin{gathered} r=\sqrt{x^2+y^2} \\ \theta=\tan^{-1}(\frac{y}{x}) \\ r\text{ is the magnitude} \\ \theta\text{ is the angle} \end{gathered}\)To find r, substitute the values of x and into the formula to find r
\(\begin{gathered} r=\sqrt{(-1)^2+(-2)^2}=\sqrt{1+4}=\sqrt{5} \\ r=\sqrt{5}=2.24\text{ \lparen nearest hundredth\rparen} \end{gathered}\)To find θ, substitute the values of x and into the formula to find θ
\(\begin{gathered} \theta=\tan^{-1}(\frac{-2}{-1}) \\ \theta=63.43\degree\text{ c} \\ In\text{ the third quadrant, since the coordinates lie there} \\ \theta=63.43\degree+180\degree=243.43\degree\text{ \lparen nearest hundredth\rparen} \end{gathered}\)The general form of a polar coordinates is
\((r,\theta)\)Hence, the polar coordinates is
\((2.24,243.43\degree)\)What is the angle relationship? Meaning, what is the angle for this?
I’ll give brainliest to whoever answers right! :)
Answers
Answer:
Easy. Alternate interior angle.
Step-by-step explanation:
What is quotient examples?
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An example of the quotient is when the number 8 is divided by 4 and is equal to 2.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
The quotient is the result of dividing two numbers by each other. As in the case of 8 ÷ 4 = 2, when the division produced the number 2, the outcome is the quotient. The dividend is 8 and the divisor is 4.
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The rectangle has a width of 10 units and a length of 24 units. What is the area of the unshaded part of the rectangle
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Answer:
Step-by-step explanation:
120
A function is defined by f (x) = 6 x + 1.5. What is f(2.5)?
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Step-by-step explanation:
6×(2.5)+1.5
15+1.5
16.5
or
f(x)= 6x+1.5
f(2.5)= 6(2.5)+15
f(2.5)=16.5
You're welcome please add me as ur friend and brainiest please
Solve: startfraction 2 over 3 endfraction minus 4 x plus startfraction 7 over 2 endfraction equals negative 9 x plus startfraction 5 over 6. endfraction. â€"" 4x = â€""9x x = x equals negative startfraction 3 over 2 endfraction. x = x equals negative startfraction 2 over 3 endfraction. x = x equals startfraction 2 over 3 endfraction. x = x equals startfraction 3 over 2 endfraction.
Answers
The solution to the equation is x = 17/30.
To solve the equation, start by combining like terms on both sides.
On the left side, we have the fraction 2/3 and the term -4x.
On the right side, we have the fraction 7/2 and the term -9x.
To combine the fractions, we need a common denominator.
The least common multiple of 3 and 2 is 6.
So, we can rewrite 2/3 as 4/6 and 7/2 as 21/6.
Now, the equation becomes:
4/6 - 4x = 21/6 - 9x
Next, let's get rid of the fractions by multiplying both sides of the equation by 6:
6 * (4/6 - 4x) = 6 * (21/6 - 9x)
This simplifies to:
4 - 24x = 21 - 54x
Now, we can combine the x terms on one side and the constant terms on the other side.
Adding 24x to both sides gives:
4 + 24x - 24x = 21 - 54x + 24x
This simplifies to:
4 = 21 - 30x
Next, subtract 21 from both sides:
4 - 21 = 21 - 30x - 21
This simplifies to:
-17 = -30x
Finally, divide both sides by -30 to solve for x:
-17 / -30 = -30x / -30
This simplifies to:
x = 17/30
So the solution to the equation is x = 17/30.
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True or
False?
A binary predictor variable is tested for significance using a different test statistic than used for a quantitative predictor variable.
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Answer:
it is False
Step-by-step explanation:
one antifreeze solution is 26% alcohol and another is 20% alcohol. how much of each mixture should be added to make 45 l of a solution that is 24% alcohol?
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30 L of 26% and 15L of 20% of each mixture should be added to make 45 l of a solution that is 24% alcohol.
What is concentration?The quantity of a substance, like salt, that is present in a specific volume of tissue or liquid, like blood, according to science. When there is less water present, the substance becomes more concentrated. You can determine how much solute has been dissolved in the solvent by looking at the concentration of the solution.
Here,
26x + 20(45-x) = 45(24)
26x -20x = 45(24) -(20(45)
6x = 4(45) = 180 x = 180/6 = 30 L of 26%
45-x = 45-30 = 15L of 20%
To make 45 l of a 24% alcohol solution, combine 30 l of 26% and 15 l of each mixture.
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help please!
Jackie deposited $315 into a bank account that earned 1.5% simple interest each year. No money was deposited into or withdrawn from the account.
How much money was in the account after 3 years?
Answers
Answer:
that is a whole lot of simple intrest
what is the advantage of a larger sample size when attempting to estimate the population mean? a larger sample - select your answer - the standard error and results in a(n) - select your answer - precise estimate of the population mean.
Answers
The estimate of the population mean is more likely to be closer to the true population mean.
The advantage of a larger sample size when attempting to estimate the population mean is that it reduces the standard error and results in a more precise estimate of the population mean. This is because a larger sample size provides more information and reduces the variability of the sample mean.
The standard error is a measure of the variability or uncertainty in the estimate of the population mean, so a larger sample size leads to a smaller standard error. Therefore, with a larger sample size, the estimate of the population mean is more likely to be closer to the true population mean.
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Last year, Marshall withdrew $8,000 from his RRSP under the Lifelong Learning Program to fund a one-year program at a community college. This year, he worked full-time but, he would like to pursue a university degree beginning next year. Marshall is wondering whether he can participate in the LLP again next year. What statement is true?
a) Provided he repays his LLP balance in full by the end of this year, Marshall can participate in the LLP again next year.
b) Marshall can only participate in the LLP once over his lifetime. However, his wife can make a LLP withdrawal from her RRSP on his behalf.
c) He can participate in the LLP again, but only to the extent that his existing LLP balance is less than $20,000.
d) He can only participate in the LLP a second time if he repays his LLP balance in full and waits 5 years before he returns to school.
Answers
Marshall is wondering whether he can participate in the LLP again next year. The statement that is true is "He can participate in the LLP again, but only to the extent that his existing LLP balance is less than $20,000.
The Lifelong Learning Plan is a program that helps Canadian residents finance their post-secondary education through their registered retirement savings plans (RRSP). If an individual is attending school full-time, they can withdraw up to $10,000 a year from their RRSP under the program, or up to $20,000 in total. There are certain rules that must be followed by an individual participating in the LLP. For example, withdrawals must be made within four years of enrolling in an eligible educational program, and repayments must begin within the same period.
Here are the statements: Provided he repays his LLP balance in full by the end of this year, Marshall can participate in the LLP again next year.Marshall can only participate in the LLP once over his lifetime. However, his wife can make a LLP withdrawal from her RRSP on his behalf. He can participate in the LLP again, but only to the extent that his existing LLP balance is less than $20,000. He can only participate in the LLP a second time if he repays his LLP balance in full and waits 5 years before he returns to school.The correct statement is: He can participate in the LLP again, but only to the extent that his existing LLP balance is less than $20,000.
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Which point is a solution to equation 2x-y=4
Answers
Answer:
aaaaaa
Step-by-step explanation:
n/5 ≥ 11
Please help
Answers
Answer:
n is greater than or equal to 55.
Step-by-step explanation:
n/5 *5 greater than or equal to 11*5
n greater than or equal to 55.
Solve for x.
X = 4
X=10
X=2
X=5
Answers
Answer: Fourth Choice. x = 5
Concept:
Here, we need to know the idea of the intersecting chord theorem.
When two chords intersect each other inside a circle, the products of their segments are equal.
If you are still confused, please refer to the attachment below for a graphical explanation.
Solve:
Given information
BE = 2
AE = 10
CE = 4
DE = x
Given expression deducted from the intersecting chord theorem
BE · AE = CE · DE
Substitute values into the expression
2 · 10 = 4 · x
Simplify by multiplication
20 = 4x
Divide 4 on both sides
20 / 4 = 4x / 4
\(\boxed{x=5}\)
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