Answer:
c, vertical
Step-by-step explanation:
blablablablablanlabla
The y-coordinate of the vertex of the parabolic graph of
f(x) = ax2 + bx + c
is
hello,
y-coordinate is found by computing f(0)=c
so this is the point (0,c)
the vertex is found for x = -b/(2a)
[tex]f(\dfrac{-b}{2a})=\dfrac{ab^2}{4a^2}-\dfrac{b^2}{2a}+c\\\\=\dfrac{b^2-2b^2+4ac}{4a}\\\\=-\dfrac{b^2-4ac}{4a}[/tex]
So this is the point ( -2(2a), -(b^2-4ac)/(4a) )
thanks
The vertex of the parabolic graph is, [tex]\rm\left ( -4a, \dfrac{-b^2+4ac}{4a} \right ) \\\\[/tex]
Given that,
[tex]\rm f(x) = ax^{2} +bx+c[/tex]
We have to determine,
The y-coordinate of the vertex of the parabolic graph?
According to the equation,
The vertex of a parabola is the point at which the parabola passes through its axis of symmetry.
In case the coefficient of the x² term is positive, and then the vertex will be located at the lowest point on the graph, the point at the base of the “U”-shape.
On the contrary, if the coefficient of the x² term is negative, the vertex will be located at the highest point on the graph, at the top of the “U”-shape.
Therefore,
The vertex of the parabola of the given quadratic equation,
[tex]\rm f(x) = ax^{2} +bx+c[/tex]
The co-ordinate is founded when x = 0,
[tex]\rm f(x) = ax^{2} +bx+c\\\\\rm f(0) = a(0)^{2} +b(0)+c\\\\\rm f(0) = c[/tex]
Then, The vertex is found at point (0, c) at x = -b\2a,
[tex]\rm f \left (\dfrac{-b}{2a }\right) = a\left (\dfrac{-b}{2a }\right) ^2 + b \left (\dfrac{-b}{2a }\right) +c\\\\f \left (\dfrac{-b}{2a }\right) = a \left (\dfrac{b^2}{4a^2 }\right)- \left (\dfrac{b^2}{2a }\right) +c\\\\f \left (\dfrac{-b}{2a }\right) = \left (\dfrac{b^2}{4a }\right)- \left (\dfrac{b^2}{2a }\right) +c\\\\f \left (\dfrac{-b}{2a }\right) = \dfrac{b^2-2b^2+4ac}{4a}\\\\f \left (\dfrac{-b}{2a }\right) = \dfrac{-b^2+4ac}{4a}\\\\[/tex]
Hence, The vertex of the parabolic graph is, [tex]\rm\left ( -4a, \dfrac{-b^2+4ac}{4a} \right ) \\\\[/tex].
For more details refer to the link given below.
https://brainly.com/question/1254213
Solve each equation.
Show all steps
4) -8(-6-5k)=-232
the answer is k=4.6. hope this helps
List and describe the characteristics of a wave
Answer:
Crest = Highest point of the wave.
Trough = Lowest point of the wave.
Wavelength = Distance from one crest/trough to the next (m)
Wave Height = Height from trough to crest (m)
Wave steepness = ratio of wave height to wavelength.
Amplitude = distance from the centre of wave to the bottom of the trough (m)
Step-by-step explanation:
Suppose the average yearly salary of an individual whose final degree is a master's is $(blank) thousand less than twice that of an individual whose final degree is a bachelor's. Combined, two people with each of these educational attainments earn $(blank) thousand. Find the average yearly salary of an individual with each of these final degrees.
Complete question :
Suppose the average yearly salary of an individual whose final degree is a master's is $41 thousand less than twice that of an individual whose final degree is a bachelor's. Combined, two people with each of these educational attainments earn $118 thousand. Find the average yearly salary of an individual with each of these final degrees.
Answer:
Bachelors = $53000
Masters = $65000
Step-by-step explanation:
Given that :
Let Salary of bachelor's degree holder = b
Salary of Master's degree holder = 2b - 41000
Master's + bachelor's salary = $118,000
Hence,
2b - 41000 + b = 118,000
3b = 118000 + 41000
3b = 159000
b = 159000 / 3
b = $53,000
Bachelor's degree salary = $53,000
Master's degree salary ; 2b - 41000
2(53000) - 41000 = 65000
Find 23÷16 . Write in simplest form
Answer:
1 17 duhhhhhh
Step-by-step explanation:
Answer:
1 1/7
Step-by-step explanation:
Identify the quadrant in which each point is located.
A (5,1.75)
B(-5,-8)
C(2,3)
D (2,-3.5)
E (-4.5,3.75)
A) Quadrant 1
B) Quadrant 3
C) Quadrant 1
D) Quadrant 4
E) Quadrant 2
The average of the first 3 weights was 14 pounds. The average of the next 7 was 4 pounds. What was the overall average of the weights?
Answer:
[tex]Average = 10[/tex]
Step-by-step explanation:
Given
[tex]First\ Three = 14[/tex] --- Average
[tex]Next\ Seven= 4[/tex] --- Average
Required
Determine the overall average
Represent the sum of the first three with x.
So:
[tex]\frac{x}{3} = 14[/tex]
Solve for x
[tex]x = 14 * 3[/tex]
[tex]x = 42[/tex]
Represent the sum of the next seven with y.
So:
[tex]\frac{y}{7} = 4[/tex]
Solve for y
[tex]y = 4 * 7[/tex]
[tex]y = 28[/tex]
The overall average is calculated as thus:
[tex]Average = \frac{x + y}{7}[/tex]
[tex]Average = \frac{42 + 28}{7}[/tex]
[tex]Average = \frac{70}{7}[/tex]
[tex]Average = 10[/tex]
si compro una camisa de 100 pesos con el 10% de descuento cuanto tengo que pagar en total
Answer:
$90
Step-by-step explanation:
10% de 100 es 10; 100-10=90
Answer:
90 pesos
Step-by-step explanation:
10% de 100 es 10. Resta esos 10 pesos de los 100, y te da tu resultado de 90 pesos.
Si necesitas que te lo explique mas, dime y te ayudare :)
Is 1.994 greater or lesser than 1.493
Answer:
greater than
Step-by-step explanation:
1.994 is closer to 2 than 1.493 so it is greater!
Because of the relatively high interest rates, most consumers attempt to pay off their credit card bills promptly. However, this is not always possible. An analysis of the amount of interest paid monthly by a bank's Visa cardholders reveals that the amount is normally distributed with a mean of 2525 dollars and a standard deviation of 88 dollars. (Round all decimals to at least 3 places.) (a) What proportion of the bank's Visa cardholders pay more than 2828 dollars in interest
Complete Question
Because of the relatively high interest rates, most consumers attempt to pay off their credit card bills promptly. However, this is not always possible. An analysis of the amount of interest paid monthly by a bank's Visa cardholders reveals that the amount is normally distributed with a mean of 25 dollars and a standard deviation of 8 dollars. (Round all decimals to at least 3 places.) (a) What proportion of the bank's Visa cardholders pay more than 28 dollars in interest
Answer:
0.354
Step-by-step explanation:
We solve for z score in this question.
The formula is given as:
z = (x-μ)/σ, where
x is the raw score = $28
μ is the population mean = $25
σ is the population standard deviation = $8
z= 28 - 25/8
z = 0.375
P-value from Z-Table:
P(x<28) = 0.64617
P(x>28) = 1 - P(x<28)
= 1 - 0.64617
= 0.35383
Approximately to 3 decimal places = 0.354
The proportion of the bank's Visa cardholders pay more than 28 dollars in interest is 0.354.
Please help and i will brainliestttt
Answer:
7/3 cm per hour
Step-by-step explanation:
Answer: 7/3 or in decimal form 2.3 the three is repeating or in mixed number 2 1/3
Step-by-step explanation:
7 divided by 3= 3/3 or in decimal form 2.3 the three is repeating or in mixed number 2 1/3
7 is for how much snow fell and the 3 is from how much time
Solve the formula for f2
f =
f1f2/
f1 + f2
Answer:
The answer is "[tex]\bold{ F2 = \frac{F F1}{(F1-F)}}[/tex]"
Step-by-step explanation:
Given:
[tex]\bold{F = \frac{F1 F2}{(F1 + F2)}}\\\\[/tex]
Cross multiplication:
[tex]\to F (F1 + F2) = F1 F2\\\\\to F F1 + F F2 = F1 F2\\\\\to F F1 = F1 F2 - F F2 \\\\\to F F1 = F2 (F1 - F) \\\\\to F2 = \frac{F F1}{(F1-F)}[/tex]
Simplify.
9a +4b+4+4a +5b+7
Answer:
13a + 9b + 11
Step-by-step explanation:
9a + 4a = 13a4b + 5b = 9b4 + 7 = 11Put them together: 13a + 9b + 11I hope this helps!
Answer:
13a+ 9b+ 11
Step-by-step explanation:
9a+4a= 13a
4b+ 5b= 9b
4+7=11
A merchant surveyed 370 people to determine the way they learned about an upcoming sale. The survey showed that 170 learned about the sale from the radio 140 from television 190 from the newspaper, 90 from radio and television, 120 from radio and newspapers, 80 from television and newspaper, and 70 from all three sources. how many people learned of the sale from newspapers or radio, but not both?
PLEASEE HELLPPPPP im dumb
Answer:
Im dumbmbbn slalsodl soak w uelwoelcome
Step-by-step explanation:
Answer:
1. A
2. it might be impetigo??
Step-by-step explanation:
Not sure but I believe this is correct.
Of 1000 randomly selected cases of lung cancer, 838 resulted in death within 10 years. Construct a 95% two-sided confidence interval on the death rate from lung cancer. (a) Construct a 95% two-sided confidence interval on the death rate from lung cancer. Round your answers to 3 decimal places. (b) Using the point estimate of p obtained from the preliminary sample, what sample size is needed to be 95% confident that the error in estimating the true value of p is less than 0.03
Answer:
0.8152 ≤ p ≤ 0.8608
579
Step-by-step explanation:
Given the following :
Samples size n = 1000
Deaths within 10 years, p = 838
α = 95%
Construction a two way confidence interval:
p ± Zα/2 * √p(1-p) / n
point estimate p = 838/n = 838/1000 = 0.838
Z0.05/2 = Z0.025 = 1.96
0.838 - 1.96√0.838(1-0.838) / 1000
0.838 - 1.96*0.0116514 = 0.8152
0.838 + 1.96√0.838(1-0.838) / 1000
0.838 + 1.96*0.0116514 = 0.8608
0.8152 ≤ p ≤ 0.8608
b) Using the point estimate of p obtained from the preliminary sample, what sample size is needed to be 95% confident that the error in estimating the true value of p is less than 0.03
Error (E) = 0.03
To find the samome size, use the relation:
n = (Zα/2 / E)² * p(1-p)
n = (1.96/0.03)² * 0.838(1-0.838)
n = (1.96/0.03)² * 0.838 * 0.162
n = 4268.4444 * 0.838 * 0.162
n = 579.46
n = 579
Solve for x. 5x−2(x+1)=1/4
Enter your answer as a fraction in simplest form.
The function C(x)=16x+4,200 represents the cost to produce x number of items. How many items should be produced so that the average cost is less than $40?
Answer:
175
Step-by-step explanation:
Twenty times y is at most 100 in interval notation
Answer:
[tex]y\in (-\infty ,5][/tex]
Step-by-step explanation:
In this problem, we need to write "Twenty times y is at most 100 in interval notation ".
20 times y means, 20y
Atmost means an inequality which is [tex]\le[/tex]
ATQ,
[tex]20\times y\le 100[/tex]
i.e.
[tex]20y\le 100\\\\y\le 5[/tex]
We can also write it as :
[tex]y\in (-\infty ,5][/tex]
Hence, the required interval notation is [tex]y\in (-\infty ,5][/tex].
The interval notation is [tex]\rm y \epsilon (\infty,6][/tex].
What is interval notation?The Interval notation is a method to define a set of numbers between a lower limit and an upper limit by using end-point values.
"Twenty times y is at most 100 in interval notation ".
Here, 20 times y means, 20y at most means an inequality.
Therefore,
The inequality is;
[tex]\rm 20 \times y\leq 100\\\\20y\leq 100\\\\y \leq \dfrac{100}{20}\\\\y\leq 5[/tex]
Hence, the required interval notation is [tex]\rm y \epsilon (\infty,6][/tex].
To know more about Interval notation click the link given below.
https://brainly.com/question/13048073
answer 2 questions about equations A and B A. 5x=20 B. x=4 1.) how can we get equation B from equation A
Answer:
Multiply/divide both sides by the same non-zero constant
Step-by-step explanation:
5x = 20
Divide each side by 5
5x/5 = 20/5
x = 4
Customers at the Palace Pro Shop receive a 10% discount if they are members. All customers must pay 7% in sales tax. The function f(x)=0.9x is used to determine the price of an item after the 10% member discount, where x is the regular price of the item. The function g(x)=1.07x is used to determine the total amount customers pay for a purchase after all discounts are applied. Which function can be used to determine T(x), the total amount a member pays for an item with a regular price of x dollars?
T(x)=0.963x
T(x)=0.17x
T(x)=1.19x
T(x)=1.97x
Answer:
0.963
Step-by-step explanation:
It’s correct
jenns age is 3 years less than marks age the sum of their ages is 30 let m be marks age find Jenna age
Answer:
you could do 27+x=30
Step-by-step explanation:
Canoe rentals cost $10 plus $4 per hour. A group of friends rent 3 canoes for 3 hours. what is their total cost.
Answer:
42
Step-by-step explanation:
Answer:
$42
Step-by-step explanation:
$10 * 3 canoes = $30
$4 * 3 hours = $12
30 + 12 = $42
can you write an equivalent fraction for 9/11 and 6/7 using the least common denominator ?
Answer:
The least common denominator is 77 so the fractions would become 63/77 and 66/77.
5/8 divided by 1/4 I would like to see how smart you all are?
Answer:
2.5
Step-by-step explanation:
good luck :)
if f (x) = 2/3x² + 8x, what is the value of f(6)?
Answer:
72
Step-by-step explanation:
replace the variable of x with 6 in the equation.
A simple random sample of 100 men is chosen form a population with mean height 71 in and standard deviation 2.5 in. What is the probability that the average height of the men in the sample is less than 70.5in?
Answer:
2.28%
Step-by-step explanation:
The z score is used to determine how many standard deviations that the raw score is above or below the mean. If the z score is positive then the raw score is above the mean and if it is negative then it is below the mean. It is given by:
[tex]z=\frac{x-\mu}{\sigma}\\ \\\mu = mean, \sigma=standard\ deviation,x=raw\ score\\\\For\ a\ sample\ n\\\\z=\frac{x-\mu}{\sigma/\sqrt{n} }\\\\For\ x<70.5\ in\\\\Given \ that\ n=100, \mu=71\ in, \sigma=2.5\ in\\\\z=\frac{70.5-71}{2.5/\sqrt{100} }=-2\\\\From\ normal\ distribution\ table, P(x<70.5)=P(z<-2)=0.0228=2.28\%[/tex]
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When a piece of metal is subject to below zero temperatures, shrinking will normally take place. If the diameter of a steel rod shrinks from 0.02 meters to 0.015 meters, what is the percentage decrease in the diameter?
1.333...percent
Hope it helps
A researcher wants to determine if birthweights of children born to U.S. mothers is affected in any way when large megadoses of caffeine are consumed routinely by the mother during pregnancy. It is known that the birthweights are normally distributed with mean 7.5 pounds and standard deviation 1 pound. When drawing a sample of size 40 from such a population, and computing the mean birthweight in the sample, use the Central Limit Theorem to find the 2.5-th percentile of the distribution of sample means.
Answer:
7.19
Step-by-step explanation:
Bill was looking through a microscope. He called Sue over to tell her what he saw. He showed her a cell wall, nucleus, mitochondria, and chloroplast. What type of cell was he looking at?
A. Prokaryotic cell B. Plant cell
C. Animal cell
D. Red blood cell
Answer:
B. Plant cell
Step-by-step explanation:
Prokaryotic cells do not contain an enclosed nucleus or chloroplast
Red blood cells do not contain chloroplast
Animal cells do not contain chloroplast