E Homework: 3.1 Homework
Evaluate the following function at the values 2, -3, and x-2.
f(x) = x² +5
f(2)= (Type an integer or a simplified fraction.)
Answers
Answer:
Question 13 of 16 Evaluate the following function at the values 2, -4, and x-1. f(x)=x2-5 = ..... f(2)= (Type an integer or a simplified fraction.) f(-4)=L(Type an integer or a simplified fraction.) f(x-1)= (Simplify your answer. Type an expression using x as the variable. Use integers or fractions for any numbers in the expression.)
Related Questions
the range of a data set is 32.if the largest number in the set of 50 what isthe smallest number
Answers
The smallest number of the data set is 18.
What is the smallest number?Range is used to measure the spread of a dataset. Range is determined by subtracting the largest number from the smallest number.
Range = largest number - smallest number
Smallest number = largest number - range
50 - 32 = 18
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43/14 as a decimal rounded to the nearest tenth.
Please explain in-depth step by step.
Answers
Explain:
To convert to a decimal, divide the numerator by the denominator
43 / 14 = 3.07142857
Now round to the nearest tenth, which is the first number to the right of the decimal (0).
Look to the number to the right of the tenth place, (7) if it’s 5 or bigger you round up the tenth place. 7 is bigger so round up the (0) to 1. Final answer is 3.1
when a number x is added to it's square, the total is 12. find two possible values of x
Answers
Answer:
x=3 or x=−4Step-by-step explanation:
when a number x is added to it's square, the total is 12. find two possible values of x
x+x^2=12
x^2+x=12
x^2+x−12=12−12
x^2+x−12=0
(x−3)(x+4)=0
x−3=0 or x+4=0
x=3 or x=−4
x=3 or x=−4
It takes a word processor 33 minutes to process and spell check 6 pages. Find out how long it takes her to process and spell check 28 pages.
Answers
Answer:
154 minutes to process and spell check 28 pages
Step-by-step explanation:
33 Minutes to process 6 pages
If we divide both of these numbers by 6 we will get the time taken to process 1 page
33 ÷ 6 = 5.5 minutes, and 6 ÷ 6 = 1 page
So 5 and a half minutes per page
To find out how long 28 pages will take, we multiply by 28
5.5 × 28 = 154 minutes, and 1 × 28 = 28 pages
Which gives us the time of 154 minutes to process and spell check 28 pages
A halloween bowl contains four snicker bars, five hershey bars, three milkway bars, and one twix bar. What is the probability that a snicker bar will be pulled out the bowl?
Answers
Answer:
1/3
Step-by-step explanation:
The total # of bars = 12. (4+5+3)
4 of those, are snickers
4/12 (Target / Total)
1/3 (simplified)
-- Gage Millar, Algebra 1/2 Tutor (Pending Pre-Calc Tutor)
Convert 2/3 hours to minutes
Answers
Answer:
Ur ans is 40 minutes.
Step-by-step explanation:
I hope it helps u dear! ^_^
PLEASE HELP ASAP! IM SO CONFUSED THIS IS DUE SOON!! I NEED HELP! QUESTION IN PICTURE BELOW! HELP NEEDED
Answers
Answer:
c
Step-by-step explanation:
I took the test, and that was the correct answer. I hope this helps!
MANY POINTS PLEASE HELP!
Answers
Answer:
o 0.5(6+12) ● 3
Step-by-step explanation:
because when you 2x2 is 6 +2 is 12 so the answer is that
A theater group made appearances in two cities. The hotel charge before tax in the second city as $1000 higher than in the first. The tax in the first city was 6.5%, and the tax in the second city was 7.5%. The total hotel tax paid for the two cities was $845. How much was the hotel charge in each city before tax? First city:
Answers
A campaign manager created a survey to see if the candidate could be elected into office. The survey randomly chose 1832 voters and asked them whom they would vote for. Of those surveyed, 953 people responded that they would vote for the candidate. Because there are
87,403 voters in the area, the results mean that 45,466 people would vote for this candidate.
Identify a problem with the study.
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The problem with the study is that Some of the sample data are missing.
What a survey?A survey is a study that aims at obtaining the responses of people based on a questionnaire. The subjects are selected at random in such a way that the sample is representative of the population.
In this study, the problem with the study is that Some of the sample data are missing.
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Answer: D) The results is a precise number
The part of the circle from point A to point B in the diagram represents 1/4 of the way around the circle.
What is the measure of the angle formed by line segment OA and line segment OB?
Answers
Answer:
90
Step-by-step explanation:
Since the sum of a circle is 360, just divide 360 and 1/4.
which axis shows the dependent varible
Answers
The axis on a graph that shows the dependent variable is the: vertical or y-axis.
What is the Dependent Variable?The dependent variable is the variable that is affected by an independent variable. That is, a change in the independent variable, causes the dependent variable to change.
On a graph, the dependent variable (outcome) is usually plotted on the y-axis (vertical axis).
Thus, the axis that shows the dependent variable is the vertical or y-axis.
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If 12,5 % discounted is offered on a R500,00 pair of shoes ,how much discount will you receive
Answers
Answer: R62,500
Step-by-step explanation:
To find the discount, simply multiply 12.5% (0.125 in decimal form) with 500,000
500,000 x 0.125 = 62,500
Answer:
₹62,50
Step-by-step explanation:
The amount of discount is found by multiplying the discount rate by the amount being discounted.
discount = 0,125 × ₹500,00 = ₹62,50
You will receive a discount of ₹62,50.
_____
Additional comment
Here, a comma is used to separate the units part of the number from the fractional part of the number. This decimal separator is an alternative to the use of a period or centered dot (·) for that purpose.
What is 136x * 149y??
Answers
Answer:
20264xy is the answers for the question
Step-by-step explanation:
please mark me as brainlest
Solve the following radical equation.
√2x-3 =2
Answers
Answer:
First, we have to add 3 to both sides.
[tex]\sqrt{2x} - 3 + 3 = 2 + 3[/tex]
Then we simplify the equation,
[tex]\sqrt{2x} = 5[/tex]
Divide both sides of the equation by [tex]\sqrt{2}[/tex]
[tex]\frac{\sqrt{2x} }{\sqrt{2}} = \frac{5}{\sqrt{2}}[/tex]
Finally, simplify.
[tex]x = \frac{5\sqrt{2}}{2}[/tex]
Therefore, our answer is [tex]x = \frac{5\sqrt{2}}{2}[/tex]
3.5
Step-by-step explanation:
square means 1/2.so,1/2(2x-3)=(2)^2
then square cancel by square. 2x-3=4
2x=4+3, 2x=7then divided by 2.
x=3,5
N + M? N = 9.1 7.9 -2.4 0.2 -5.8 1.4 and M= 8.2 -0.6 -2.8 -1.8 -2.4 -6.1
Answers
Answer:
[tex]N + M = \begin{pmatrix}17.3&7.3\\ -5.2&-1.6\\ -8.2&-4.7\end{pmatrix}[/tex]
Step-by-step explanation:
[tex]\begin{pmatrix}9.1&7.9\\ -2.4&0.2\\ -5.8&1.4\end{pmatrix} +\begin{pmatrix}8.2&-0.6\\ -2.8&-1.8\\ -2.4&-6.1\end{pmatrix} =\begin{pmatrix}9.1+8.2&7.9-0.6\\ -2.4-2.8&0.2-1.8\\ -5.8-2.4&1.4-6.1\end{pmatrix}[/tex]
Then
[tex]\begin{pmatrix}9.1&7.9\\ -2.4&0.2\\ -5.8&1.4\end{pmatrix} +\begin{pmatrix}8.2&-0.6\\ -2.8&-1.8\\ -2.4&-6.1\end{pmatrix} =\begin{pmatrix}17.3&7.3\\ -5.2&-1.6\\ -8.2&-4.7\end{pmatrix}[/tex]
Find the area of a circle with radius, r = 60cm. Give your answer rounded to 3 SF.
Answers
The area of the circle will be equal to 11309.733 square centimetres.
What is an area?The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the circle in a two-dimensional plane is called the area of the circle.
The area of the circle will be calculated by the following formula:-
Area = πr²
Area = π x ( 60 x 60 )
Area = 3.14 x 60 x 60
Area = 11309.733 square centimeters.
Therefore the area of the circle will be equal to 11309.733 square centimetres.
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what percent is 38 of 80
Answers
Answer:
47.5
Step-by-step explanation:
38/80x100%=47.5
Answer:
47.5%
Step-by-step explanation:
Before we get started in the fraction to percentage conversion, let's go over some very quick fraction basics. Remember that a numerator is the number above the fraction line, and the denominator is the number below the fraction line. We'll use this later in the tutorial.
When we are using percentages, what we are really saying is that the percentage is a fraction of 100. "Percent" means per hundred, and so 50% is the same as saying 50/100 or 5/10 in fraction form.
So, since our denominator in 38/80 is 80, we could adjust the fraction to make the denominator 100. To do that, we divide 100 by the denominator:
100 ÷ 80 = 1.25
ow we can see that our fraction is 47.5/100, which means that 38/80 as a percentage is 47.5%.
We can also work this out in a simpler way by first converting the fraction 38/80 to a decimal. To do that, we simply divide the numerator by the denominator:
38/80 = 0.475
Once we have the answer to that division, we can multiply the answer by 100 to make it a percentage:
0.475 x 100 = 47.5%
And there you have it! Two different ways to convert 38/80 to a percentage. Both are pretty straightforward and easy to do, but I personally prefer the convert to decimal method as it takes less steps.
I've seen a lot of students get confused whenever a question comes up about converting a fraction to a percentage, but if you follow the steps laid out here it should be simple. That said, you may still need a calculator for more complicated fractions (and you can always use our calculator in the form below).
If you want to practice, grab yourself a pen, a pad, and a calculator and try to convert a few fractions to a percentage yourself.
Hopefully this tutorial has helped you to understand how to convert a fraction to a percentage. You can now go forth and convert fractions to percentages as much as your little heart desires!
Reducible interest at 6% pa is charged on a loan of $50 000. Annual repayments of
$5000 are made. Calculate how much is still owing after:
2) 2 years
3) 3 years
1) 1 year
[20pts] and Make Brainliest
Answers
1. The loan balance after 2 years is $45,262.
2. The loan balance after 3 years is $42,678.
3. The loan balance after 1 year is $47,700.
What is the loan balance?The loan balance is the amount remaining from the principal amount after the deduction of repayment and the addition of interest for the period.
The loan balance can be computed manually as below:
Data and Calculations:Loan amount = $50,000
Interest rate = 6%
Annual repayments = $5,000
1st year:
Loan amount = $50,000
Repayment = ($5,000)
Interest = $2,700 ($50,000 - $5,000) x 6%
Loan balance = $47,700 ($50,000 - $5,000 + $2,700)
2nd year:
Loan balance = $47,700
Repayment = ($5,000)
Interest = $2,562 ($47,700 - $5,000) x 6%
Loan balance = $45,262 ($47,700 - $5,000 + $2,562)
3rd year:
Loan balance = $45,262
Repayment = ($5,000)
Interest = $2,416 ($45,262 - $5,000) x 6%
Loan balance = $42,678 ($45,262 - $5,000 + $2,416)
Thus, the loan balance after 3 years is $42,678.
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Circle and Arcs
x + y + z =[ ?]
Answers
Rhonda uses a pan balance and metric weights to measure the masses of two large books.
She recorded the weights that she used in the table below.
Note: 1 kg = 1000 g
1-kilogram
weights 500-gram
weights 100-gram
weights 10-gram
weights
Book A 1 0 7 4
Book B 0 3 1 8
Which book has a greater mass? How many grams greater is it? Use the drop-down menus to complete the sentences below.
Choose...
the book has the greater mass. It is
Choose...
grams greater.
Answers
The book has the greater mass is book A and It is 60 grams greater.
The book with the greater mass?The table of values is given as;
1-kilogram 500-gram 100-gram 10-gram
Book A 1 0 7 4
Book B 0 3 1 8
The weights of the books are calculated as:
Book A = 1 * 1kg + 0 * 500g + 7 * 100g +4 * 10g = 1740 g
Book B = 0 * 1kg + 3 * 500g + 1 * 100g +8 * 10g = 1680 g
1740 is greater than 1680 by 60
This means that the book has the greater mass is book A and It is 60 grams greater.
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Which statement about events A and B is TRUE? A. If P(A | B) = P(B) and P(B | A) = P(A), then the events are dependent. B. If P(A | B) = P(B) and P(B | A) = P(A), then the events are independent. C. If P(A | B) = P(A) and P(B | A) = P(B), then the events are independent. D. If P(A | B) = P(A) and P(B | A) = P(B), then the events are dependent.
Answers
Using conditional probability, it is found that the correct statement is given by:
C. If P(A | B) = P(A) and P(B | A) = P(B), then the events are independent.
What is Conditional Probability?Conditional probability is the probability of one event happening, considering a previous event. The formula is:
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which:
P(B|A) is the probability of event B happening, given that A happened.[tex]P(A \cap B)[/tex] is the probability of both A and B happening.P(A) is the probability of A happening.If two events are independent, we have that:
[tex]P(A \cap B) = P(A)P(B)[/tex].
Hence:
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{P(A)P(B)}{P(A)} = P(B)[/tex]
[tex]P(A|B) = \frac{P(A \cap B)}{P(B)} = \frac{P(A)P(B)}{P(B)} = P(A)[/tex]
Which means that option C is correct.
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the angle of elevation to the top of a cliff is 25 degrees from a boat on the lake. How high is the cliff is 400 feet from the boat??
Answers
If the distance between the cliff and the boat is 400 feet. Then the height of the cliff will be 186.52 feet.
What is a right-angle triangle?It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.
The angle of elevation to the top of a cliff is 25 degrees from a boat on the lake.
If the distance between the cliff and the boat is 400 feet.
Then the height of the cliff will be
Let x be the height of the cliff. Then we have
tan θ = height of cliff/ distance between cliff and boat
tan 25° = x/400
x = 400 tan 25°
x = 186.52 feet
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what is the volume of the solid ?
Answers
Answer:
150.72
Step-by-step explanation:
V = 4/3(pi r squared)
V = 4/3 3.14 (6 squared)
V = 150.72
What is the volume, in cubic meters of the prism below?
Answers
Answer:
1848 Cubic Meters
Step-by-step explanation:
The volume should be (7*24*22)/2
This is because this object is bascally half of a rectangular prism, so we need to divide the whole product by 2 at the end.
7*24*22 = 3696
3696/2 = 1848
simplify 321/99 fractions
Answers
Answer:
107/33
Step-by-step explanation:
on December 1, a 350 gallon oil tank was full. on January 15, it was 1/4 full. how many gallons of fuel were used in that time period?
Answers
Answer:
262.5 gallons
Step-by-step explanation:
The amount used is the difference between the starting and ending amounts:
350 -(1/4) (350) = 262.5 gallons used
A city’s population has been growing linearly. In 2008, the population was 28,200. By 2012, the population was 36,800. Assuming this trend continues, which of the following is a linear function that properly models the relationship between the town's population, P, and the years that have passed since 2008, t.
Answers
The linear function that models the relationship is P = 28,200 + 1950t.
What is the linear function that models the relationship?A linear function is a function that has a single variable raised to the power of 1. An example is x + 2
The first step is to determine the rate of increase in the population:
Rate of increase = (population in 2012 - population in 2008) / number of years
(36.000 - 28,200) / 4 = 1950
P = 28,200 + 1950t
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Which graph represents the function f(x) = −|x − 2| − 1?
Answers
Answer:
it should be the third one
Step-by-step explanation:
I just learn this all today and I'm pretty sure its the third one
Paul bought some notebooks for a total of $295.65. What was his change from $500?
Answers
Answer:
204.35
Step-by-step explanation:
500-295.65+204.35