The graph of a quadratic function, or a parabola, is U or n-shaped and its direction depends on the sign of the coefficient of the x-squared term. The vertex and line of symmetry can be found using formulas based on this coefficient.
Explanation:The graph of a quadratic function, also known as a parabola, generally takes on a 'U' or 'n' shape. The direction that the 'U' faces depends on the sign of the coefficient, which is the number associated with the x-squared term in the equation. If this coefficient is positive, the graph opens upwards; if it's negative, the graph opens downwards. The vertex (the highest or lowest point on a parabola) can be calculated using the formula -b/2a. The line of symmetry can be found using the equation x = -b/2a.
For example, consider the quadratic function f(x)=x^2. This equation represents a parabola that opens upwards. Its vertex is at the point (0,0) and its line of symmetry is x=0.
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How do u do question 25. How do u find the measure of X?
Situation: A 15 gram sample of a substance that's a by-product of fireworks has a k-value of 0.1405. N Noe No initial mass (at time 0) N mass at time t k a positive constant that depends on the substance itself and on the units used to measure time t time, in days
Answer: 4.9
Step-by-step explanation:
Hope this helps
I really need help on all of these please
simplify 4x+2 - x^2 +x-12 / x-3
a) 3x-2
b)3x+4
c)5x-4
d)5x+4
Answer:
3x-2
Step-by-step explanation:
on edge
a cupcake recipe calls for 1/6 cups of milk and you have 5/8 cups of milk in the refrigerator how many cups of milk will you have remaining after baking the cupcakes
Answer: 1/8
Step-by-step explanation:
Which of the economic goals correlates with the explanation "the ability of people to make choices"?
A. equity
B. innovation
C. efficiency
D. freedom
I got D as my answer, is that correct?,
Solve the inequality.
1
_ c < B
4
C < 32
C < -4
C > 12
C > 32
Solve the equation. Y + 13 = 10
Y = -23
Y = 3
Y= -3
Y = 23
Multiply. 7(x -2)
7x - 2
7x - 14
7x - 9
X - 14
Mary and her brother John collect foreign coins. Mary has three times the number of coins that John has. Together they have 160 foreign coins. Find out how many Mary has.
112
120
24
40
4. An airplane at T(80,20) needs to fly to both U(20,60) and V(110,85). What is the shortest possible distance for the trip?
165units
170units
97units
169 units
is the answer A?
What is the area of this figure?
A recipe calls for 1 1 2 cups of flour. how many cups will you need if you are preparing 5 batches of the recipe?
A vacant lot is in the shape of an isosceles triangle. It is between two streets that intersect at an 85.9degree angle. Each of the sides of the lot that face these streets is 150 ft. Long. Find the perimeter of the lot to the nearest foot.
what triangle congruence theorem is needed?
A particular computer takes 13 minutes to download a 39-minute TV show. How long will it take the computer to download a 2-hour movie?
It will take the computer 40 minutes to download a 2-hour movie based on its current download speed, which is 3 minutes of video per minute of download time.
Explanation:To answer this question, we first need to establish the download speed of the computer. This can be done by dividing the length of the TV show by the time it takes to download it. In this case, the computer can download 39 minutes of video in 13 minutes, so its download speed is 39/13 = 3 minutes of video per minute of download time.
To find out how long it will take to download a 2-hour movie, we first need to convert the length of the movie to minutes, because our speed is in minutes of video per minute of download time. Two hours is equal to 2*60 = 120 minutes. Therefore to download a 120-minute video, it will take 120/3 = 40 minutes.
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a poll shows that 76% of voters in a city favor an initiative to increase spending on public schools. if 10 voters are selected at random, wht is the probability that exactly five of them will vote in favor of the initiative?,
Lesson 8: Binomial Distributions
1. a. 91%
2. a. 5.1%
3. c. s^5-25s^4v+250s^3v^2-1250s^2v^3+3125sv^4-3125v^5
4. d. 55.8%
sales: Ye has his own business he checks sales receipts three times a day One day his afternoon sales were $50 more than his morning sales and his evening sales were three times this afternoon so if his total sales for the day were $1000 what were his evening service
CHECK MY ANSWER??
Which statement describes the first step to solve the equation by completing the square? 3x^2 + 18x= 21
A. Multiply both sides of the equation by 19.
B. Add 81 to each side of the equation.
C. Add 9 to each side of the equation.(MY ANSWER)
D. Multiply both sides of the equation by 13 .
Your friend has prepared his monthly budget and asks you if he has overlooked anything in this planning. Which of the following questions points out his most serious omission?
a. What if your income from stocks is lost? b. What if you need to go to the doctor? c. What if the electric bill increases? d. What if you need to replace the furnace?
which expression is equivalent to 4√24x∧6y÷ 128x∧4y∧5
Answer:
Option D. [tex]\sqrt[4]{\frac{3x^{2}}{2y}}[/tex]
Step-by-step explanation:
[tex]\sqrt[4]{\frac{24x^{6}y}{128x^{4}y^{5}}}[/tex]
[tex]\sqrt[4]{(\frac{24}{128})\times (\frac{x^{6}}{x^{4}})\times (\frac{y}{y^{5}})}[/tex]
= [tex]\sqrt[4]{(\frac{3}{16})\times {(x)^{6-4}}\times{(y)^{1-5}}}[/tex]
= [tex]\sqrt[4]{(\frac{3}{16})\times x^{2}y^{-4}}[/tex]
= [tex]\sqrt[4]{\frac{3}{(2)^{4}}\times x\times y^{-4}}[/tex]
= [tex]\sqrt[4]{(3\times x^{2)\times (\frac{y^{-1}}{2})^{4}}}[/tex]
= [tex]\frac{y^{-1}}{2}\sqrt[4]{3x^{2}}[/tex]
= [tex]\sqrt[4]{\frac{3x^{2}}{2y}}[/tex]
Option D. [tex]\sqrt[4]{\frac{3x^{2}}{2y}}[/tex] is the correct answer.
Johns father is 2 meters tall how many meters tall how many centimeters tall is johns father
Answer: He is 6'5
Step-by-step explanation: He is 6'5 because 2 meters it equal to 6'5
A research firm conducts a sample survey and discovers that, of all the new watchers of three-dimensional tv, 77% have not reported any side effects such as vertigo, headache, or undue eyestrain compared with watching regular television. if this sample questionnaire had 2,100 respondents, what is the margin of error (me), rounded to the nearest thousandth? hint: me equals plus or minus two times square root of start fraction p hat left parenthesis one minus p hat right parenthesis over n end fraction end square root comma where p hat is the yes proportion in the sample and n is the sample size. me = ±0.009 me = ±0.017 me = ±0.018 me = ±1.837
Divide the following polynomials, then place the answer in the proper location on the grid. Write the answer in descending powers of x.
(4x^2 - 10x -24) / (2x + 3)
Answer:
2x-8
Step-by-step explanation:
Assume that there are 2 trials.
X = 2 where X represents the number of successes.
Which probability matches the probability histogram?
Round the answer to one decimal place.
P(success)=0.3
P(success)=0.4
P(success)=0.6
P(success)=0.7
The correct answer on the test was
P(success)=0.4
Which polynomial is a perfect square trinomial?
A. x^2 +5y + 25
B. x^2 +10y+25
C.x^2+5y+100
D. x^2+10y-25
If you worked for 6 days for a total of 67.8 hours. If I worked the same number of hours each day, how many hours did I work in a day?
The population of trout in a certain pond doubles every year. The current population of the pond is 275 trout.
If the product of two positive integers is 180 and the larger number is 5 times the smaller number, what are the numbers
How much will be left after 105 Days?
. Classify the triangle according to side length and angle measurement.
(1 point)
isosceles; right
equilateral; obtuse
scalene; acute
scalene; right
Final answer:
The question requests the classification of a triangle by both its side length and angle measurement. An isosceles triangle has two equal sides, and if it also includes a right angle, it is classified as isosceles; right. This understanding combines the concepts of triangle classification by sides and angles.
Explanation:
The question asks to classify a triangle according to side length and angle measurement. When classifying triangles by side lengths, we have three categories: isosceles, scalene, and equilateral. An isosceles triangle has two sides of equal length, a scalene triangle has all sides of different lengths, and an equilateral triangle has all sides of equal length. In terms of angle measurements, triangles can be classified as right (one 90-degree angle), acute (all angles less than 90 degrees), or obtuse (one angle greater than 90 degrees).
According to the information provided and referencing the 4th Theorem, in an isosceles triangle, the angles opposite to the equal sides are equal. This property helps in classifying a triangle when given its angles or side lengths. Furthermore, for a triangle to be a right triangle, it must include a 90-degree angle. This is crucial when identifying a triangle as isosceles; right, which means it is an isosceles triangle with a right angle, typically resulting in the two equal sides being adjacent to the right angle.
What is the value of x?
x=23
x=35
x=58
x=93
Help me please.....
3.you have a mortgage payment of $1,248.90/month. Using proportions, what is the minimum amount you must have in realized income per month to keep your housing expense in the acceptable range?,
To determine the minimum amount of realized income per month to keep your housing expense in the acceptable range, set up a proportion using 30% of the mortgage payment and solve for x.
Explanation:To determine the minimum amount of realized income per month to keep your housing expense in the acceptable range, we can use a proportion. Let's assume that the acceptable range for housing expense is 30% of your income.
First, we need to find the total monthly income that corresponds to 30% of the mortgage payment. We can set up a proportion:
x/1248.90 = 30/100
Cross-multiplying, we get:
100x = 30 * 1248.90
Simplifying, we find:
x = (30 * 1248.90)/100 = $374.67
Therefore, the minimum amount you must have in realized income per month to keep your housing expense in the acceptable range is $374.67.