Consider the following quadratic function.
f(x)=–2x²+4x+3
(a) Write the equation in the form f(x)=a (x-h)2 + k. Then give the vertex of its gr
Writing in the form specified: f(x) = 0
:
=
Х
Vertex:
OD
(b) Graph the function. To do this, plot five points on the aranh of the function
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Answer:
Step-by-step explanation:
Related Questions
is x^2 + 1 a polynomial
Answers
Answer: Answer: x^2 - 1 is not a polynomial as after simplifying it there will be no variable.
Step-by-step explanation:
There are 1/2 as many eighth graders in the choir as seventh graders. There are 48 eight graders. Write and solve an equation to find the number of seventh graders in the choir. (This problem needs to be written as an equation..not just 48x2) Thanks
Answers
Answer:
Step-by-step explanation:
Let x represent the number of seventh graders in the choir:
48=x/2
x=96
A small cube has the volume shown. It's side length is 1 in. Less than a second, larger cube. What is the volume of the larger cube?
Answers
The volume of the larger cube is 148.877in³
Volume = V
Length = L
Therefore,
The volume of a cube can be depicted as,
V = L³
Given that the volume of the smaller cube = 85in³
Side Length of the small cube = x
95 = x³
x = ∛85
x = 4.397
x ≈ 4.3
Length of the larger cube = (x + 1)in
= 4.3 + 1
= 5.3in
Therefore, the volume of larger cube = 5.3³
= 148.877in³
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Graph-3,3,-0.4, and 3 on the number line.
3
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Answer:
you need to give more explanation.
Which of the following is not a valid representation of a probability? Group of answer choices 0 3/8 35% 1.04
Answers
Answer:
0
Step-by-step explanation:
The valid representation of the probability does not include 1.04.
Calculation of the valid representation of the probabilitySince 35% could be written in the percentage form i.e. 0.35. The probability could be equal to zero. The probability value should not be more than 1 like 1.04. Also 3 by 8 should be lower than 1 this represents the valid representation
Therefore, the last option is correct.
Hence, The valid representation of the probability does not include 1.04.
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Indicated measure for circle o
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Answer:
number a should be half of 82 which is 41
for question b is two times 26 which is 52
Question 7
Susan bought a car for N$120 000.00. Its value decreased in the ratio 3:5. What is the
value of the car after the decrease?
[2]
Answers
Answer:
Step-by-step explanation:
xxcSD1EA
If Dion was to purchase all 171 ticktes, then it would cost him $25.
If Dion decided to just buy ticket books with 24 tickets per book how many books would he have to purchase
to have at least 171 tickets?
Answers
Answer:
He would need to purchase 8 ticket books. 8*24=192
Step-by-step explanation:
171/24=7.125 so he would need 8 books
Solve for measure of angle a.
55°
a = [?]°
25° ат
![Solve for measure of angle a.55a = [?]25](https://i5t5.c14.e2-1.dev/h-images-qa/contents/attachments/CxjJWzaGBUWoTwV9U4OFAhpLhwGjl7KX.png)
Answers
Check the picture below.
![Solve for measure of angle a.55a = [?]25](https://i5t5.c14.e2-1.dev/h-images-qa/answers/attachments/r7Vl2sCCZI9Ir0qw1EubCc6i2RQyoR8E.png)
If y varies inversely as x and y = -97 when x = 28 find y if x = 36.
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Given:
\(y\alpha\frac{1}{x}\)Introducing a constant 'k'
\(y=\frac{k}{x}\)Substitute y = -97, x = 28
\(\begin{gathered} -97=\frac{k}{28} \\ \therefore k=-97\times28=-2716 \end{gathered}\)Let us write out the relationship connecting y and x
\(y=-\frac{2716}{x}\)Let us now solve for y if x = 36
\(y=-\frac{2716}{36}=-75\frac{4}{9}\)Hence,
\(y=-75\frac{4}{9}\)The lines shown below are perpendicular. If the green line has a slope of 2,
what is the slope of the red line?
-10
10
16
A. ¾/1
O A.
B.
O C.
O D. - 3/4
Answers
None of the given answer options (-10, 10, 16, ¾/1) correspond to the correct slope of -1/2.
To find the slope of the red line given that it is perpendicular to the green line with a slope of 2, we can use the property that perpendicular lines have slopes that are negative reciprocals of each other.
The slope of the green line is 2. To find the slope of the red line, we take the negative reciprocal of 2. The negative reciprocal is obtained by taking the reciprocal (flipping the fraction) and changing the sign.
Reciprocal of 2: 1/2
Negative reciprocal: -1/2
Therefore, the slope of the red line is -1/2.
However, none of the given answer options (-10, 10, 16, ¾/1) correspond to the correct slope of -1/2.
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\(2x ^{2} - 6x + 10 = 0\)solve by completing the square
![[tex]2x ^{2} - 6x + 10 = 0[/tex]solve by completing the square](https://i5t5.c14.e2-1.dev/h-images-qa/contents/attachments/zbNRB4chJmZgAxWK9KGTXQqUX9AbpB1R.png)
Answers
We know that we can use the quadratic equation
Using this we have
\(\begin{gathered} x=\frac{-(-6)\pm\sqrt[]{(-6)^2-4\cdot2\cdot10}}{2\cdot2}=\frac{6\pm\sqrt[]{36-80}}{4} \\ =\frac{6\pm\sqrt[]{-44}}{4}=\frac{6\pm\sqrt[]{4\cdot-11}}{4}=\frac{6\pm2\cdot\sqrt[]{-11}}{4} \\ =2\cdot(\frac{3\pm\sqrt[]{-11}}{4})=\frac{3\pm\sqrt[]{-11}}{2}=\frac{3\pm\sqrt[]{11}i}{2} \\ =\frac{3}{2}\pm\frac{\sqrt[]{11}}{2}i \end{gathered}\)So the answer is B)
![[tex]2x ^{2} - 6x + 10 = 0[/tex]solve by completing the square](https://i5t5.c14.e2-1.dev/h-images-qa/answers/attachments/bbazKkq8wcbKdplRHhozmzkBMhtIgZFT.jpeg)
I'll mark brainly pls do this
Answers
Step-by-step explanation:
Verbs are read, complete, checked, work, invite. Pronouns are their, your, and them. Nouns are Classroom, Zeroes, Friday, February, friends, assignment, students, trimester. Adjectives are simple, missing.
Hope this helps! If I missed some or got some wrong, please tell me! Goodbye!
It's in the pic plz help
Answers
Answer:
It is 4 because length PO is also 4 and TR is across from it.
Step-by-step explanation:
Ana works 25 hours a week at the library. If she is paid $10 an hour, and her net salary each week is $212.50, what percent of her salary is withheld for taxes?
Answers
Approximately 17.65% of Ana's salary is withheld for taxes.
To calculate the percentage of Ana's salary that is withheld for taxes, we need to determine the amount of tax withheld and then express it as a percentage of her net salary.
Number of hours worked per week (H) = 25 hours
Hourly wage (W) = $10
Net salary (S) = $212.50
Calculate the total earnings before taxes:
Total earnings = Hours worked * Hourly wage
Total earnings = 25 hours * $10/hour
Total earnings = $250
Determine the amount of tax withheld:
Tax withheld = Total earnings - Net salary
Tax withheld = $250 - $212.50
Tax withheld = $37.50
Calculate the percentage of salary withheld for taxes:
Percentage withheld = (Tax withheld / Net salary) * 100
Percentage withheld = ($37.50 / $212.50) * 100
Percentage withheld ≈ 17.65%
Therefore, approximately 17.65% of Ana's salary is withheld for taxes.
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-. The side views of two different ramps are shown below. Which is a true
tatement about the slope of the ramps?
Answers
The statement that is true about the slope of the ramps is: A. Slope of ramp A = slope of ramp B.
What is the Slope?Slope = gradient = rise / run = vertical distance / horizontal distance.
Slope of the side view of ramp A = rise / run = 20 / 30 = 2/3.
Slope of the side view of ramp B = rise / run = 14 / 21 = 2/3.
The slope of A = slope of B = 2/3
The statement that is true of the slopes of both ramps is therefore: A. Slope of ramp A = slope of ramp B.
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EASY: order from largest to smallest size
Answers
Answer:
Decending
Step-by-step explanation:
Answer:
1,2,3
Step-by-step explanation:
Bennett Griffin and Chula Garza organized Cole Valley Book Store as a corporation; each contributed $71,500 cash to start the business and received 5,600 shares of common stock. The store completed its first year of operations on December 31, current year. On that date, the following financial items for the year were determined: December 31, current year, cash on hand and in the bank, $69,250; December 31, current year, amounts due from customers from sales of books, $43,500; unused portion of store and office equipment, $72,500; December 31, current year, amounts owed to publishers for books purchased, $12,400; one-year note payable to a local bank for $3,200. No dividends were declared or paid to the stockholders during the year.
Required:
Complete the following balance sheet as of the end of the current year. Some information has been given below.
What was the amount of net income for the year? (Hint: Use the retained earnings equation [Beginning Retained Earnings + Net Income − Dividends = Ending Retained Earnings] to solve for net income.)
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he net income for the year is $16,550.
Calculation of the net income for the year:Retained earnings equation is:Beginning Retained Earnings + Net Income − Dividends = Ending Retained EarningsWhere, Beginning Retained Earnings = $0 (not given)Ending Retained Earnings = $16,550 (calculated from balance sheet)Dividends = $0 (not given)
Therefore,Net Income = Ending Retained Earnings - Beginning Retained Earnings + Dividends= $16,550 - $0 + $0= $16,550 Balance Sheet of Cole Valley Book Store as of December 31, current year:Current assets Cash on hand and in bank = $69,250 Amounts due from customers from sales of books = $43,500 Total current assets = $112,750 Property, plant, and equipment Unused portion of store and office equipment = $72,500
Total assets = $185,250Liabilities Amounts owed to publishers for books purchased = $12,400 One-year note payable to a local bank = $3,200 Total liabilities = $15,600 Stock holders' Equity Common stock, 5,600 shares at $71,500 = $400,400 Retained earnings, beginning = $0Net income = $16,550 Retained earnings, ending = $16,550 Total stockholders' equity = $416,950Total liabilities and stockholders' equity = $185,250 + $15,600 + $416,950= $617,800
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It takes 24 minutes for a pump to empty a tank. A larger pump can empty the tank in half the time. How long would it take to empty the tank with both pumps operating?
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using transformation (x-2 y+3) find the new coordinates of (7 -5) brainly
Answers
Answer:
(5, -2)
Step-by-step explanation:
In the coordinates (7, -5), 7 is the x-coordinate and -5 is the y-coordinate.
The transformation, (x-2 y+3), states that the x-coordinate, 7, must be subtracted by 2.
When subtracted by two, (7 - 2), the difference is 5.
The transformation, (x-2 y+3), states that the y-coordinate must be increased by 3.
When added by 3, (-5 + 3), the sum is -2.
Therefore, the new coordinates are (5, -2).
The table shows values for functions f(x) and g(x) . x f(x) g(x) 1 1 3 3 −9 −9 5 0 −2 7 2 2 9 12 9 11 11 1 What are the known solutions to f(x)=g(x) ? Select each correct answer. Responses 1 1 3 3 7 7 9 9 11 11
Answers
Answer: The known solutions to f(x)=g(x) are x=1, x=7, and x=11. These are the values of x for which the values of f(x) and g(x) are equal according to the given table.
Answer:
the correct answers are:
1)1
2)3
3)7
4)9
Step-by-step explanation:
The known solutions to f(x) = g(x) can be determined by comparing the values of f(x) and g(x) in the given table. From the table, the matching values of f(x) and g(x) are:
1.x = 1: f(1) = 1, g(1) = 1
2.x = 3: f(3) = 3, g(3) = 3
3.x = 7: f(7) = 9, g(7) = 9
4.x = 9: f(9) = 11, g(9) = 11
Therefore, the correct answers are:
1)1
2)3
3)7
4)9
Consider the linear equation:2y + 3 = 0Step 1 of 2: Find two points on the line to be graphed.
Answers
Given the linear equation
\(2y+3=0\)To begin with, let us make y the subject of the question
\(\begin{gathered} 2y=0-3 \\ 2y=-3 \\ \\ y=-\frac{3}{2} \end{gathered}\)The graph of the function is given below
The points on the graph include
\((0,-1.5)\text{ and (3,-1.5)}\)For fraction we will have
\((0,-\frac{3}{2})\text{ and (}3,-\frac{3}{2}\text{)}\)
find the value of 11 (a + b) when a = 7 and b = 3. (a) 110
(b)77
(c) 11,000
(d) 44
Answers
Answer:
(a) 110
Step-by-step explanation:
We can plug in 7 for a and 3 for b. Then we can simplify
11(a + b)
11(3 + 7)
11(10)
110
Thus, the value of 11(a + b) when a = 7 and b = 3 is 110, or answer a
Hey?? Answer this question
Answers
Answer:
Option D
Step-by-step explanation:
Because, there is equals symbol in the equation.
3.6 + 1.23 + 0.042 find the sum
Answers
You add all three up and that is what you get.
Roger and Mary have an online account for buying movies. Roger's account balance is -$25
and Mary's is -$10. Who owes more money?
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Answer:
Rodgers simply because owing 25 dollars is more than 10
Emily and Josh are both solving 3.65 ÷ 100. Emily says the answer is 365. Josh says the answer is 0.0365. Which student is correct?
A Emily, because when dividing by a power of 10, the decimal moves to the right.
B Josh, because when dividing by a power of 10, the decimal moves to the left
C Emily, because when multiplying by a power of 10, the decimal moves to the right.
D Josh, because when multiplying by a power of 10, the decimal moves to the left.
Answers
Answer:
The answer is [B Josh, because when dividing by a power of 10, the decimal moves to the left]
Answer: the answer is B
Step-by-step explanation:
there are 300 staff members this year. this is 25% lower than last years number of staff members. what was last years number of staff members?
Answers
Answer:
400
Step-by-step explanation:
75/100 = 300/x
75x = 30000
x = 400
Round the fraction to the nearest whole number.
3.
1/3
Answers
0
The answer would be 0 because 2/3 wouldn't be able to round up to a number so it would be 0.But if what you are saying is 3 1/3 rounded to the nearest whole number it would be 3
Conduct the hypothesis test and provide the test statistic and the critical value, and state the conclusion. A person drilled a hole in a die and filled it with a lead weight, then proceeded to roll it 200 times. Here are the observed frequencies for the outcomes of 1, 2, 3, 4, 5, and 6, respectively: 29, 31, 49, 37, 26, 28. Use a 0.025 significance level to test the claim that the outcomes are not equally likely. Does it appear that the loaded die behaves differently than a fair die?
Answers
The loaded die appears to behave differently from a fair die.Based on the chi-square test, the loaded die does not exhibit equal probabilities for each outcome.
To test the claim that the outcomes of the loaded die are not equally likely, we can use the chi-square goodness-of-fit test. The null hypothesis (H₀) assumes that the outcomes are equally likely, while the alternative hypothesis (H₁) assumes that they are not equally likely.
Step 1: Set up hypotheses
H₀: The outcomes of the die are equally likely.
H₁: The outcomes of the die are not equally likely.
Step 2: Select the significance level
The significance level is given as 0.025, which means we have a two-tailed test and an alpha level of 0.025 for each tail.
Step 3: Compute the test statistic
We calculate the chi-square test statistic using the observed frequencies and the expected frequencies assuming equal probabilities for each outcome.
Expected frequencies (fair die):
1: 200/6 = 33.33
2: 200/6 = 33.33
3: 200/6 = 33.33
4: 200/6 = 33.33
5: 200/6 = 33.33
6: 200/6 = 33.33
Applying the chi-square formula, we get the test statistic:
χ² = ∑((observed - expected)² / expected)
Calculating this value, we get χ² ≈ 13.97.
Step 4: Determine the critical value
Since the significance level is 0.025 and the test is two-tailed, we divide the significance level by 2 to find the critical value associated with each tail. With 5 degrees of freedom (6 categories - 1), the critical value is approximately 11.07.
Step 5: Make a decision
The test statistic (13.97) is greater than the critical value (11.07), which leads us to reject the null hypothesis. Thus, we have evidence to suggest that the outcomes of the loaded die are not equally likely.
The loaded die appears to behave differently from a fair die.
In conclusion, based on the chi-square test, the loaded die does not exhibit equal probabilities for each outcome.
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