Consider the equation of parabola y = 5x - 30x + 45.
Its vertex is located at
( , )
Answers
Answer:
(3, 0 )
Step-by-step explanation:
Given a parabola in standard form
y = ax² + bx + c (a ≠ 0 )
Then the x- coordinate of the vertex is
[tex]x_{vertex}[/tex] = - [tex]\frac{b}{2a}[/tex]
y = 5x² - 30x + 45 ← is in standard form
with a = 5, b = - 30 , then
[tex]x_{vertex}[/tex] = - [tex]\frac{-30}{10}[/tex] = 3
Substitute x = 3 into the function for corresponding value of y
y = 5(3)² - 30(3) + 45 = 45 - 90 + 45 = 0
vertex = (3, 0 )
Answer:
Vertex is (3,0)
Step-by-step explanation:
Given y= 5x^2 - 30x + 45
y = 5 ( x^2 - 6x + 9)
= 5 ( x -3 )^ 2 + 0
Standard formula of parabola is y = a(x - k)^2 + k where vertex is (h,k)
Here, h = 3 and k = 0
So, Vertex is ( 3, 0)
Related Questions
What is the volume of the composite figure? 1,200 units3 4,400 units3 5,040 units3 6,000 units3
Answers
Answer:
6000
Step-by-step explanation:
Answer:
the answer is D
Step-by-step explanation:
I'm having trouble answering this question is it possible someone can answer this ASAP?
Answers
Answer:
c. it is 185 cm squared all you do is add the sides and time them
CAN SOMEONE HELP ME PLEASE IM SO FRUSTRATED BECAUSE NO ONE IS HELPING ME PLS JUST BE NICE AND HELP ME PLS :’) NO LINKS NO BOTS OR JUST ANSWERS TO GET POINTS I WILL REPORT !!!Which of the following equations describes the line shown below? Check all
that apply.
(12,6) (4,4)
Answers
Answer:
I'm sorry that no one is helping you, the correct answers are A and F.
Step-by-step explanation:
The line's equation is [tex]y=\frac{1}{4} +3[/tex]. You know this because the slope of the line is found by subtracting the y-value of the two points and dividing it by the difference of the x-values, which would be [tex]\frac{6-4}{12-4} = \frac{2}{8} = \frac{1}{4}[/tex]. Using the slope, you can calculate the y-intercept of the equation, which you just multiply the slope by the distance to the y-axis and subtract that from the y-value of (4, 4), which you will get [tex]4 + (-4*\frac{1}{4}) = 4+(-1) = 3[/tex]. So the equation of the line is [tex]y=\frac{1}{4} +3[/tex]. When you simplify all the choices below, you'll get that only A and F are equivalent to the equation, so those are the correct choices.
Quickly answer, I only have a few minutes left!!!!
Answers
Answer:
3) x=11
4) x=65 degrees
I can explain more if you need but since you need it quick basically theyre just the same as the other side since its a 90 degree angle and the line is going through the center
Answer: x is 11 and 65 like they said
Step-by-step explanation:
You 5-year loan of $14,000 is at 4.3% compounded annually. How much will you have paid in total for your loan?
Answers
Answer:
$17,276
Step-by-step explanation:
Given data
Time= 5 years
Principal= $14,000
Rate= 4.3%
We want to find the final amount
A=P(1+r)^t
Substitute
A= 14000(1+0.043)^5
A= 14000(1.043)^5
A= 14000*1.234
A=$17276
Hence the total amount is $17,276
A 90% confidence interval is found to be (72, 78). What is the margin of error?
A. 6
B. 2.7
C. 5.4
D. 3
Answers
Answer:
Step-by-step explanation:
D. 3
To find the vertex, What must you do with the value you get from the formula −b/2a
the options are
A. That value is your vertex
B. I have no idea, I haven't listened all week
C. Plug it into original equation
D. Plug it into quadratic formula
Answers
Answer:
C.
Step-by-step explanation:
You would need to plug it into your example equation. This is because you would need the slope of that equation. Hope this helped you out!!!
ASAP ILL GIVE BRAINEST!!!
Find the LENGTH of Arc ABC.
Answers
Answer:
whats this homework called and ill help u
Step-by-step explanation:
Which set of measurements makes it possible to draw a unique triangle?
A
two angle measures of 30° and 55
B
two side measures of 6 ft and 15 ft
two side measures of 15 ft and 10 ft, and a non-included angle measure of 25°
D
two angle measures of 35 and 50 and a non-included side measure of 7 ft
Answers
Answer: A = 40°, Angle B = 60° and Angle C = 80°. The angles sum to 180°, so at least one triangle may be drawn.
Step-by-step explanation: Did this help
Measures of center and variation can be used to describe data sets. Choose ALL statements about these measures that are true.
The mean, or average is a measure of center
The range of data set is a measure of center
The median of a data set is a measure of variability.
Measures of variability describe how the values in a data set vary.
Measures of Center describe all values in a data set with a single number
Answers
Answer:
These are the answers:
A) The mean, or average, is a measure of center.
D) Measures of variability describe how the values in a data set vary.
E) Measures of center describe all values in a data set with a single number.
The mean, or average is a measure of center
Measures of variability describe how the values in a data set vary.
Measures of Center describe all values in a data set with a single number
What is Median?The median is the value that's exactly in the middle of a data set when it is ordered. It's a measure of central tendency that separates the lowest 50% from the highest 50% of values. The steps for finding the median differ depending on whether you have an odd or an even number of data points
Arrange the data points from smallest to largest.
If the number of data points is odd, the median is the middle data point in the list.
If the number of data points is even, the median is the average of the two middle data points in the list.
Given data ,
The following statements about measures of center and variation are true:
The mean, or average, is a measure of center.
Measures of variability describe how the values in a data set vary.
Measures of center describe all values in a data set with a single number.
The statement "The range of data set is a measure of center" is false. The range is a measure of variability, not center.
The statement "The median of a data set is a measure of variability" is also false. The median is a measure of center, not variability
To learn more about median click :
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PLEASE HELP!!!!!!!!!!! I NEED THIS RN!!!!! NO LINKS, JUST THE ANSWER!!!!!!!
THIS IS NOT MULTIPLE CHOICE!!!!!!
B. Find another city whose population starts larger than the city in part (a), but
that during this same time experienced population decline. Determine its
population for January 1st of the same year you picked for part (a). Write an
exponential function to represent the city’s population, y, based on the
number of years that pass, x after a period of population decline. Describe
the variables and numbers that you used in your equation.
-
c. Explain the similarities and differences between your equations in (a) and (b).
d. During what year will the population of city (a) first exceed that of city (b)?
Show all of your work and explain your steps.
e. During what year will the population of city (a) be at least twice the size of
the population of city (b)? Show all of your work and explain your steps.
Answers
Answer:
Step-by-step explanation:
We need the actual base question put that in the comments or edit the question
4. What is the half-life of the radioactive isotope with amount A, whose rate of decay in t hours is shown in the graph below?
(0,40)
(20,15)
Answers
Answer:
15, 25
Step-by-step explanation:
Answer:The half life is the time taken for the amount of a substance to become half of its original value. If we take the initial value to be 30 on the y-axis, the half of 30 is 15. We check the time at which the substance has reduced to 15 atoms and this is about 40 seconds. The answer is C.
Step-by-step explanation:
[VERBAL DESCEPTION]
[EQUATION]
A pest control compony charges $2.50 per
Cubic inch of pesticides used cluse service
fee of $75 for the treatment
[TABLE]
[GRAPH]
PROCESS
CUBIC
INCHES
25
TOTAL
COST
818
Answers
The SUM OF THE INTERIOR ANGLES of a regular polygon is 540°. How many sides does the polygon have? Show all work
Answers
Answer:
5
Step-by-step explanation:
number of sides = (sum of interior angles / 180) + 2
(540 / 180) + 2 = 5
Express the area of the entire rectangle.
Your answer should be a polynomial in standard form.
Answers
Answer:
Area= height x width = (x + 6) (x+ 2) = x^2 + 2x + 6x + 12= x^2 + 8x + 12
If 10 apples cost $8.95, how much will 4 apples cost?
Answers
Step-by-step explanation:
here's your solution
=> cost of 10 apple = $ 8.95
=> cost of 1 apple = $8.95/10 = $ 0.895
=> cost of 4 apple = $ 0.895*4
=> cost = $3.580
hope it helps
Marcus receives an inheritance of $3,000. He decides to invest this money in a 11 -year certificate of deposit (CD) that pays 5.0 % interest compounded monthly. How much money will Marcus receive when he redeems the CD at the end of the 11 years?
Answers
Marcus will receive $5,193.82 when he redeems the CD at the end of the 11 years.
What is compound interest?Compound interest is computed as interest on the principle of an account plus any accrued interest.
Compound interest can be calculated using the following formula:
A=P(1+r/n[tex])^{nt}[/tex]
Where:
A = the future value of the investment or loan
P = the principal investment or loan amount
r = the interest rate (decimal)
n = the number of compound periods
Marcus receives an inheritance of $3,000.
He decides to invest this money in an 11 -year certificate of deposit (CD) that pays 5.0 % interest compounded monthly.
P = $3,000
r =5%
t = 11 years
A=P(1+r/n[tex])^{nt}[/tex]
Substitute the values of P, r and t in the formula,
First, convert R as a percent to r as a decimal
r = R/100
r = 5/100
r = 0.05 rate per year,
Then solve the equation for A
A=P(1+r/n[tex])^{nt}[/tex]
A = 3,000.00(1 + 0.05/12[tex])^{(12)(11)}[/tex]
A = 3,000.00(1 + 0.0041666666666667[tex])^{132}[/tex]
A = $5,193.82
Therefore, Marcus will receive $5,193.82.
To learn more about the compound interest rate;
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Convert: :
23.7 cm =
mm
Answers
Answer:
237
Step-by-step explanation:
multiply the length value by 10
Answer:
237 mm
Step-by-step explanation:
Formula
multiply the length value by 10
Find the arc length of the semicircle. Enter an exact answer in terms of . units
Answers
Answer:
The answer is 37.699111848 units or 0 units, pick
Step-by-step explanation:
2πr (θ/360)
Brian and Mark are fishing. They both catch a fish. Brian's fish weighs 17 pounds less than Mark's fish. Mark's fish weighs 22 pounds How much does Brian's fish weigh, in pounds?
Answers
Answer:
5 pounds.
Step-by-step explanation:
22 - 17 = 5
PLEASE HELP THIS HAS A TIMER The following two-way table shows the distribution of daily traffic and weather issues in a certain large city.
A 4-column table with 3 rows. Column 1 has entries bad weather, good weather, total. Column 2 is labeled heavy traffic with entries 25, 55, 80. Column 3 is labeled Light traffic with entries 5, 15, 20. Column 4 is labeled Total with entries 30, 75, 100. The columns are titled daily traffic and the rows are titled weather conditions.
Suppose a day from this city is selected at random. Let event A = heavy traffic and event B = bad weather. Are events A and B independent?
No, P(A) = P(B|A).
No, P(A) ≠ P(A|B).
Yes, P(A) = P(A|B).
Yes, P(A) ≠ P(B|A).
Answers
Answer:
I believe the answer is (B).
Both are not independent, and the probability of A is 30/100.
While the probability for A|B is like 30/100(80/100) which does not equal 30/100.
I've been trying to figure out how to do it and stuff, and this seems the most reasonable answer. I'm taking it now. Goodluck
ED2021
The two events are not independent as the traffic is affected by the weather conditions.
What is independent probability?Two events are independent if the occurrence of one event does not affect the chances of the occurrence of the other event. The mathematical formulation of the independence of events A and B is the probability of the occurrence of both A and B being equal to the product of the probabilities of A and B (i.e., P(A and B).
Let event A = heavy traffic and event B = bad weather.
P(A)= 25/30 and P(B)=25/30
Two events are said to be independent only when the change in one event affect the other event.
Here the two given events are not independent.
Band weathers such as heavy rainfall, snowfall etc. leads to failure of traffic management system and thereby causes heavy traffic. This is easily seen in all major urban cities.
Hence, the two events are not independent as the traffic is affected by the weather conditions.
Learn more about the independent probability here:
https://brainly.com/question/27987662.
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is 4/20 and 3/12 proportional
Answers
Answer:
no it is not
Step-by-step explanation:
you would have to get a common denominator which would be 60 so 12 times 5 is 60 and 20 times 3 is 60
then you multiply 4 by 3 and thats 12 and 3 times 5 is 15 so no they arent perportional
Answer Explanation: Simply do cross multiplication. If the numbers are not the same number, the ratios are not proportional. 48 does not equal 60. SEE IMAGE
Can someone pleaseeee help and if you’re correct i’ll give brainliest
Answers
Answer:
The last one
Step-by-step explanation:
Pentagon has 5 sides, it only has 4 sides.
Q1 : Gina writes the letters of the word PROBABILITY on separate cards. She picks one card at random. What is the probability that the card Gina selects is:
a) The letter B
b) A vowel
c) A letter before M in the alphabet?
Answers
Answer:
2/11
4/11
6/11
Step-by-step explanation:
probability the letter B = number of times b appears in the word / total number of alphabets
total number of alphabets = 11
number of times b appears in the word = 2
2/11
a vowel = total number of vowels in the word / total number of alphabets
vowels include = a,e,i,o,u
vowels in the word = a, o, i
total number of vowels in the word = 4
4/11
A letter before M in the alphabet = total number of alphabets before m in the word / total number of alphabets
letters before m = A, B, C, D, E, F, G, H, I, J, K, L
letters before m in the word = b,a, i , l
number of words before m = 6/11
hey everyone im back!!!!!!! But im in Texas now! :D
Answers
Answer:
Hiii when I went to Florida Miami I landed in Texas
How many quart are 8/1/4 gallons
Answers
Given:
Consider the given gallons are [tex]8\dfrac{1}{4}[/tex] gallons.
To find:
The number of quarts in [tex]8\dfrac{1}{4}[/tex] gallons.
Solution:
We know that,
1 gallons = 4 quarts
Using this conversion, we get
[tex]8\dfrac{1}{4}\text{ gallons}=4\times 8\dfrac{1}{4}\text{ quarts}[/tex]
[tex]8\dfrac{1}{4}\text{ gallons}=4\times \dfrac{32+1}{4}\text{ quarts}[/tex]
[tex]8\dfrac{1}{4}\text{ gallons}=4\times \dfrac{33}{4}\text{ quarts}[/tex]
[tex]8\dfrac{1}{4}\text{ gallons}=33\text{ quarts}[/tex]
Therefore, there are 33 quarts in [tex]8\dfrac{1}{4}[/tex] gallons.
Similar triangles (please explain how to do this)
Answers
Answer:
Step-by-step explanation:
what is 2 divide 74
Answers
Answer:
about 0.027028
Step-by-step explanation:
0.0270270270270270 it gos on
nice day today (pls answer)
.yes
.no
Answers
Rachael has a summer job working at a library. The graph below shows the relationship between the number of hours Rachael worked and the amount of money, in dollars, that Rachael earned
Rachael's Summer Job
Money Earned ($)
501
45
40
35
30
25
20
15
- 10
5
4
Number of Hours
Write an equation to represent the amount of money, m, in dollars, that Rachael earned by working h hours
Answers
Answer:
m=9h
Step-by-step explanation:
I did the test