This graph represents a quadratic function. What is the function's equation written in factored form and in vertex form?
(graph in picture)
Answers
Step-by-step explanation:
f(x) = a(x-x1) (x-x2)
from the vertex, we get a:
0 = a(4-2)²- 8
4a = 8
a = 2
so, the equation:
f(x) = 2(x-0) (x-4)
f(x) = 2x(x-4)
f(x) = 2x² -8x
Related Questions
The diameter of the dot produced by a printer is normally distributed with a mean diameter of 0.002 inch and a standard deviation of 0.0004 inch. What is the probability that a diameter is between 0.0014 and 0.0026 inches
Answers
Answer:
[tex]P(0.0014 < x < 0.0026) = 0.86639[/tex]
Step-by-step explanation:
Given
[tex]\mu = 0.002[/tex]
[tex]\sigma = 0.0004[/tex]
Required
[tex]P(0.0014 < x < 0.0026)[/tex]
First, calculate the z score
[tex]z = \frac{x - \mu}{\sigma}[/tex]
For x = 0.0014
[tex]z = \frac{0.0014 - 0.002}{0.0004}[/tex]
[tex]z = \frac{-0.0006}{0.0004}[/tex]
[tex]z = -1.5[/tex]
For x = 0.0026
[tex]z = \frac{0.0026 - 0.002}{0.0004}[/tex]
[tex]z = \frac{0.0006}{0.0004}[/tex]
[tex]z = 1.5[/tex]
So, we have:
[tex]P(0.0014 < x < 0.0026) = P(-1.5<z<1.5)[/tex]
From z probability table, we have:
[tex]P(-1.5<z<1.5) = 0.86639[/tex]
Hence:
[tex]P(0.0014 < x < 0.0026) = 0.86639[/tex]
please help. Thank you
Answers
Answer:
30.8 degrees
Step-by-step explanation:
cosx = [tex]\frac{8.5}{9.9}[/tex]
x= [tex]cos^{-1}[/tex][tex]\frac{8.5}{9.9}[/tex]
= 30.8 degrees (nearest tenth of a degree)
if c= the number of cars in a parking lot which algebaraic expression represents the phrase below the number of cars increased by 9
Answers
Answer:
C+9
Step-by-step explanation:
Find cos(A+B), given sinA=35 and cosB=−12/13 and both A and B are in π2<θ<π
Answers
Answer:
[tex] \cos(A + B) = \cos A \cos B - \sin A \sin \: B \\ but : \cos \: A = \sqrt{1 - ({ \frac{3}{5} })^{2} } = \frac{4}{5} \\ : \sin B = \sqrt{1 - {( \frac{ - 12}{13} })^{2} } = \frac{5}{13} \\ \therefore \cos(A + B) = ( \frac{4}{5} )( \frac{ - 21}{13} ) - ( \frac{3}{5} )( \frac{5}{13} ) \\ = \frac{ - 84}{65} - \frac{3}{13} \\ = \frac{ - 99}{65} \\ = - 1.52[/tex]
Question is in the image
Answers
Answer:
0.722
Step-by-step explanation:
First of all add up the sections 1 to 8 to make sure they add to 360
They do actually.
1 102 203 304 405 506 607 708 80Total 360
This is an area question. Every time you spin the spinner, it must come to an area labeled 1 to 8.
You could do this by setting up a ratio of each section and subtract the section for 3 and 7. That's the long way.
The shorter way is to add up the degrees for 3 and 7 and subtract them from the total (360)
Area 3 + area 7 = 30o + 70o = 100 degrees.
So the probability of landing in 3 or 7 is 100 / 360 = 0.278 (rounded)
The probability of Not landing on 3 or 7 is 1 - 0.278 = 0.722
Suppose 54% of the registered voters in a country are Democrats. If a sample of 770 voters is selected, what is the probability that the sample proportion of Democrats will be greater than 52%? Round your answer to four decimal places.
Answers
Answer:
0.8665 = 86.65% probability that the sample proportion of Democrats will be greater than 52%.
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]
Suppose 54% of the registered voters in a country are Democrats. Sample of 770.
This means that:
[tex]p = 0.54, s = \sqrt{\frac{0.54*0.46}{770}} = 0.01796[/tex]
What is the probability that the sample proportion of Democrats will be greater than 52%?
This is 1 subtracted by the p-value of Z when X = 0.52. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{0.52 - 0.54}{0.01796}[/tex]
[tex]Z = -1.11[/tex]
[tex]Z = -1.11[/tex] has a p-value of 0.1335
1 - 0.1335 = 0.8665
0.8665 = 86.65% probability that the sample proportion of Democrats will be greater than 52%.
HELP TIMED
Which is equivalent to ?
Answers
Answer:
C the one with the 12
so the 3 turn into 1/3 now 1/3 times 1/4 = 1/12
now turn the 1/12 into the outside of the sign
Step-by-step explanation:
The height of a plant in mm is 7. It doubles each week. Select all expressions that represent the
height of the plant, in mm, after 4 weeks.
Answers
Answer:
I only know that it will be 28 mm tall but you have to be more specific
Find the greatest common factor of 65a^3b^4 and 39a^4b^5.
A) 13a^3b^4
B) 6a^7b^5
C) 13a^7b^9
D) 6a^4b^5
Answers
Answer:
the answer is 13a3b4. You’ll get the answer correctly. It’s not C
Step-by-step explanation:
Which number is missing in the table of values below?
x
y
0
1
1
6
2
36
3
?
4
1,296
108
216
324
648
Answers
Answer:
216
Step-by-step explanation:
Correct on Edge
The solution is: 216, is missing number in the table of values below.
What is an exponent in math?An exponent refers to the number of times a number is multiplied by itself. For example, 2 to the 3rd (written like this: 23) means: 2 x 2 x 2 = 8. 23 is not the same as 2 x 3 = 6. Remember that a number raised to the power of 1 is itself.
Given :
x = 0 ,1 ,2 ,3 , 4
y = 1 ,6 ,36 ,? , 1296
As we can see that values of y :
y = 6^0 = 1
y = 6^1 = 6
y = 6^2 = 36
y = 6^3 = 1296
so y =216 , is the solution
so, we get, the values of y is exponent of 6 as the values of x, respectively.
The equation can be given for solving the question is y = 6^x
By putting given values of x we are getting values of y .
So for x =3 we are getting y = 216
Hence, 216, is missing number in the table of values below.
To learn more on exponent number click:
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Can someone help me with this? please
Answers
9514 1404 393
Answer:
(30, 72, 78)
Step-by-step explanation:
When testing a number of triples to see if they are Pythagorean triples, it can be convenient to let a spreadsheet do the math. The attachment shows us the triple at lower left (30, 72, 78) is a Pythagorean triple. That is, the sum of the squares of the smaller two numbers is the square of the larger, so they can form a right triangle.
__
You may recognize these numbers have the ratios 5:12:13, the ratios of an often-used triple.
1. Angles measuring 8x – 3 and 7x + 18 are supplementary. Find the measure of each angle. (5 points)
Answers
Answer:
85º and 95º
Step-by-step explanation:
supplementary angle total 180
(8x – 3) + (7x + 18) = 180
Combine like terms
15x + 15 = 180
15x = 165
x = 11
---------------------
8x – 3
8(11) - 3
88 - 3
85º
7x + 18
7(11) + 18
77 + 18
95º
Simplify (4 - x²)/2x - x² where x≠0 and x≠2
Answers
Answer
1+2/xStep-by-step explanation:
Evaluate 11/12*12/121- -6/5*70/60
Answers
Answer:
82/55
Step-by-step explanation:
11/12 * 12/121 - -6/5 * 70/60 = 1/11 + 14/10 = 1/11 + 7/5 = 5/55 + 77/55 = 82/55
The required solution of the given expression is 82/55.
What is simplification?Simplification involves applying rules of arithmetic and algebra to remove unnecessary terms, factors, or operations from an expression. The goal is to obtain an expression that is easier to work with, manipulate, or solve, For example, simplifying an algebraic expression might involve combining like terms, factoring, or using the distributive property
The given expression is,
= 11/12*12/121- -6/5*70/60
Simplify the above expression,
= 11/121+ 70/50
= 1/11 + 7/5
The common denominator between the two fractions is 55, so
= 5 + 77 / 55
= 82 / 55
Thus, the required solution of the given expression is 82/55.
Learn more about simplification here:
https://brainly.com/question/12501526
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Several logs are stored in a pile with 22 logs on the bottom layer, 21 on the second layer, 20 on the
third layer, and so on. If the top layer has one log, how many logs are in the pile?
Answers
Answer:
[22 x 21] / 2=231 or "c"
Step-by-step explanation:
If the code AXISEM represents the number 9.54207, what number is represented by the code XlS + SEX? a.AIM b.MIM c.MES d.SIX
Answers
Answer:
B. MIM
Step-by-step explanation:
A = 9
X = 5
I = 4
S = 2
E = 0
M = 7
XIS = 542, SEX = 205
542 + 205 = 747
747 = MIM
Which expression is equivalent to 250 + 150 ?
Answers
Answer:
if 25c + 15d = 0, then d = -25/15c
Step-by-step explan
just yes, that
The value of StartRoot 52 EndRoot. is between which two integers?
5 and 6
6 and 7
7 and 8
8 and 9
Answers
===============================================
Explanation:
When you list out the perfect squares, notice that 49 and 64 are on that list.
These are values we focus on because 49 < 52 < 64
We'll apply the square root to all three sides
[tex]49 < 52 < 64\\\\\sqrt{49} < \sqrt{52} < \sqrt{64}\\\\7 < \sqrt{52} < 8\\\\[/tex]
This shows that [tex]\sqrt{52}[/tex] is between 7 and 8
A calculator helps confirm this
[tex]\sqrt{52} \approx 7.2111\\\\[/tex]
What is the value of x ?
Answers
Answer:
What is the value of x?
Whenever we have a problem to solve we assume the unknown quantity(or value to be identified) as x. This is just a convention followed in algebra by using a variable to denote the unknown quantity and then arrive at the solution.
What is the value of X?
What's the value of X?
X + X = X, what is the value of X?
What is the value of x ? How can I find it?
Do you know the value of x?
Value of X can be any numerical value or anything but depends solely on your question .But I find no question ok lets take an example .
If an equation is given ,
X+2=4
=> X=4–2
=>X=2
We X's value as 2 .
Now another ,
X + Y = 5 , 2X + 5Y = 10
Now taking first equation
X = 5-Y ………………………..(1)
Now taking second equation
X= 10–5Y/2…………………(2)
Now,
2(5-Y) = 10–5Y
=> 10–2Y = 10–5Y
=> 2Y = 5Y
Y has no value here because this equation not correctly represented .
Hence ,
We conclude the value of X varies with equation .
Thank You ,
Answer:
28.61258...
Step-by-step explanation:
Don't really know how to explain this over a computer, but it is correct.
Hope that this helps!
Which of the following is the rule for the dilation below?
Group of answer choices
(x,y)⟶(x+2,y+2)
(x,y)⟶(3x,3y)
(x,y)⟶(2x,2y)
None of these
(x,y)⟶(12x,12y)
Answers
Answer:
I'm not sure if you have the question quite right. Whenever you multiply x and y by something, it is a dilation. So 3 of those are dilations. If you add or subtract something from x, it is a translation.
Hope that helps.
Step-by-step explanation:
Please answer it correctly
Answers
Answer:
8,000 I'm pretty sure so yw if it's right
Answer:
5,332..I hope soo the answer is
the volume of a triangular prism is V=1/2abh, where a is the altitude or height of the triangle, b is the base of the triangle and h is the height of the prism. solve for the formula V=1/2abh for H
Answers
9514 1404 393
Answer:
h = 2V/(ab)
Step-by-step explanation:
Divide both sides of the equation by the coefficient of h.
V = (abh)/2
h = 2V/(ab)
What are the solution(s) to the quadratic equation x2 – 25 = 0?
Answers
Answer:
x = ± 5
Step-by-step explanation:
Given
x² - 25 = 0 ( add 25 to both sides )
x² = 25 ( take the square root of both sides )
x = ± [tex]\sqrt{25}[/tex] = ± 5
solutions are x = - 5, x = 5
All expressions equivalent to 4(2+x):
Answers
Answer and Step-by-step explanation:
8 + 4x -- Distributed the 4 to the 2 and x.
2(4 + 2x) -- Taking out the 2 from the 8 and 4x, instead of the 4.
These are the answers.
#teamtrees #PAW (Plant And Water)
Line s is the perpendicular bisector of JK. If line s intersects JK at point L
which of the following statements must be true?
Answers
Answer:
You don't have your options listed but if one of them is Point L is the midpoint of the segment, that would be your answer.
Step-by-step explanation:
PLEASE ANSWER ASAP!!! FULL ANSWERS ONLY!!!!!! WILL GIVE BRAINLIEST!!!!!!!!!
Dakota's wife sends him to the store to buy pickles and ice cream. Ice cream cost 5 dollars per pound and pickles costs 4 dollars per pound. Dakota has 100 dollars in his wallet.
Let x be the number of pounds of ice cream and y be the number of pounds of pickles that Dakota purchases. State the inequality that represents his budget, and graph the solution that represents the possible combinations of x and y. Express your answer with the standard form ax+by on the left side.
The budget inequality is _________________________
Answers
Answer: 5x + 4y ≤ 100
Step-by-step explanation:
x = amount of ice cream($5 each)y = amount of pickles($4 each)5x + 4y ≤ 100
It has to be ≤ 100 because the dude only has $100 and can't exceed that.
What is the value of the expression:5m-2n when m=3 and n=5?
Answers
9514 1404 393
Answer:
5
Step-by-step explanation:
Put the numbers where the letters are and do the arithmetic.
5(3) -2(5) = 15 -10 = 5
Answer:
5
Step-by-step explanation:
5m - 2n
Where, we have given ; m = 3 & n = 5
plug the value in the equation
= 5( 3 ) - 2 ( 5 ) = 15 - 10= 5Cost of dinner = $30 Tip = 20% Total paid _?
Answers
Answer:
36$
Step-by-step explanation:
20 percent of 30 is 6
30+6=36
7 1/5 - 6 2/5 = ?
A 13 3/5
B 1 1/5
C 1 4/5
D 4/5
Answers
A rectangle measured 2 ⅔ inches by 1 5/9 inches what is its area
Answers
Answer:
4 4/27 sq inches
Step-by-step explanation:
the area is 2⅔ × 1 5/9 = 8/3 × 14/9
= 112/27 = 4 4/27