\(\text{Given that,}\\\\(x_1,y_1) = (0,1) ~~~ \text{and}~~~ (x_2,y_2) = (4,-1)\\\\\\\text{Slope,}~~ m = \dfrac{y_2 - y_1}{x_2 - x_1} = \dfrac{-1 -1}{4-0} = - \dfrac 24 = -\dfrac 12\\\\\\\text{Equation with given points,}\\\\\\y -y_1 = m(x-x_1)\\\\\implies y -1 = -\dfrac 12(x - 0)\\\\\implies y = -\dfrac 12x +1\\\\\text{This is the slope - intercept form (y=mx+b)}\)
how long would it take to walk/ride a bike from florida to louisiana?
Answer:
In CAR it will take 12 hr and 4 min
WALK-313 hr
Cycle/bike -70 hr
Step-by-step explanation:
The amount of time to walk from Florida to Louisiana is; 313 hours and for riding a bike it is 70 hours.
How To Calculate the Distance between two locations?
We can move from one location to another by different means of transport such as walking, cars, train, boat, airplane, bicycle e.t.c
However, in this case, we want to know the time it will take to walk/ride a bike from Florida to Louisiana.
Now, from standard aggregated times accumulated over time from go ogle map, the amount of time to walk from Florida to Louisiana is 313 hrs.
Also from standard aggregated times accumulated over time from go ogle map, the amount of time to ride a bike from Florida to Louisiana is 70 hrs.
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what is the slope of the line passing though the points (-3, 4) and (4, -1)
Answer:
\(\displaystyle m=\frac{-5}{7}\)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Coordinates (x, y)Slope Formula: \(\displaystyle m=\frac{y_2-y_1}{x_2-x_1}\)Step-by-step explanation:
Step 1: Define
Point (-3, 4)
Point (4, -1)
Step 2: Identify
x₁ = -3, y₁ = 4
x₂ = 4, y₂ = -1
Step 3: Find slope m
Simply plug in the 2 coordinates into the slope formula to find slope m
Substitute in points [Slope Formula]: \(\displaystyle m=\frac{-1-4}{4--3}\)[Slope] Simplify denominator [Fraction]: \(\displaystyle m=\frac{-1-4}{4+3}\)[Slope] Subtract/Add [Fraction]: \(\displaystyle m=\frac{-5}{7}\)In a data distribution that is skewed left.
The median will be greater than the mean in a left-skewed distribution
We have,
In statistics, skewness is a measure of the asymmetry of a probability distribution around its mean.
A distribution is said to be skewed left if it has a long tail on the left side and the bulk of the data is on the right side.
When the data is skewed left, it means that the distribution is being pulled towards the left side.
This is because there are a few extreme values on the left side that are pulling the mean in that direction.
In contrast, the median is the middle value of the dataset, and it is not influenced by outliers.
For a left-skewed distribution,
The median will be greater than the mean because the mean is being pulled towards the left by the few extreme values.
In a data distribution that is skewed left, the mean will be less than the median.
This is because the mean is sensitive to outliers and is pulled towards the direction of the skewness, while the median is not affected by extreme values and is a more robust measure of central tendency.
Therefore,
The median will be greater than the mean in a left-skewed distribution
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kindly check if it’s correct and correct those that are wrong. thank you! as well as calculations
The following information is known for the month of December:
1. Purchases of supplies for cash during December were $3,300. Supplies on hand at the end of December equal $2,900.
2. No insurance payments are made in December. Insurance expired in December is $1,400.
3. November salaries payable of $9,800 were paid to employees in December. Additional salaries for December owed at the end of
the year are $14,800.
View transaction list
4. On December 1, Golden Eagle received $2,700 from a customer for rent for the period December through February. By the end of
December, one month of rent has been provided.
Required:
For each item, (a) record any transaction during the month of December, and (b) prepare the related December 31 year-end adjusting
entry. (If no entry is required for a particular transaction/event, select "No Journal Entry Required" in the first account field.)
no random answers ty!
Correction in point 1: Purchases of supplies for cash during December were $3,300. Supplies on hand at the end of December equal $2,800.
What is Journal Entry?
The act of recording any economic transactions is called a journal entry. An accounting journal lists transactions and displays a company's debit and credit balances. Each recording in the journal entry can be either a debit or a credit, and it can be made up of multiple recordings. The way an accounting transaction is entered into a company's accounting records is through an accounting journal entry.
This question is related to the account and finance subject.
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If 8,a,b,27 are in geometric sequence, find the value of a and b.
Answer:
a = 12 and b = 18
Step-by-step explanation:
Given that,
8,a,b,27 are in geometric sequence.
For a GP, the nth term is given by :
\(a_n=ar^{n-1}\)
Put n = 4
\(a_4=ar^{4-1}\\\\a_4=ar^3\\\\27=8\times r^3\\\\r^3=\dfrac{27}{8}\\\\r=\dfrac{3}{2}=1.5\)
Put n = 2,
\(a_2=ar^{2-1}\\\\a=ar\\\\a=8\times 1.5\\\\a=12\)
Put n = 3
\(a_3=ar^2\\\\=8\times 1.5^2\\\\b =18\)
So, the values of a and b is 12 and 18 respectively.
Which statement best describes a strategy for estimating the perimeter of the figure below if the grid squares have
side lengths 1 cm?
Add the lengths of the horizontal and vertical segments, and then subtract 5 because the diagonal side is 4 units
wide and 2 units tall.
O Add the lengths of the horizontal and vertical segments, and then subtract 3 because the diagonal side is 4 units
wide but only 2 units tall.
O Add the lengths of the horizontal and vertical segments, and then add 3 because the diagonal side is 4 units wide
but only 2 units tall.
O Add the lengths of the horizontal and vertical segments, and then add 5 because the diagonal side is 4 units wide
and 2 units tall.
The best statement that describes the strategy for estimating the perimeter of the figure (please see the attached diagram) is the option;
Ad the lengths of the horizontal and vertical segments, and then add 5 because the diagonal side is 4 units wide and 2 units tall
What is an estimate of an amount?An estimate is an approximation of a true value, which is a value that is close to the actual value of the measured quantity.
Please find attached a diagram of the possible figure created with MS Word
The length of the side of the sides of the possible figure in the figure, obtained from a similar question on the internet are;
Base length = 5 units
Height = 4 units
The figure has a diagonal side which is 4 units wide and 2 units tall.
The length of the slant side, found using Pythagorean theorem can be obtained as follows; Length = √(4² + 2²) = 2·√5 ≈ 5
The correct option is therefore to add the lengths of the horizontal and vertical segments, and then add 5 because the diagonal side is 4 units wide and 2 units tall
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my friend needs help on this problem, plz help, thank you
Answer:
3 = 95, 4 = 85, if a and b are parallel
Step-by-step explanation:
Answer:
<3=95
<4=85
Step-by-step explanation:
<3 is 95 because it matches the other angle because of parallel angles. the other angle is supplementary, so 180-95=85
The function f(x) = 1.85x2 models the cost of a square carpet, where x is the length in feet. Find the average rate of change for f, to the nearest tenth, over the interval 10 ≤ x ≤ 20.
To find the average rate of change of the function f(x) = 1.85x^2 over the interval 10 ≤ x ≤ 20, we need to find the difference in the function values at the endpoints of the interval and divide by the length of the interval.
The function value at x = 10 is:
f(10) = 1.85(10)^2 = 185
The function value at x = 20 is:
f(20) = 1.85(20)^2 = 740
The length of the interval is:
20 - 10 = 10
So the average rate of change of the function over the interval 10 ≤ x ≤ 20 is:
(f(20) - f(10)) / (20 - 10) = (740 - 185) / 10 = 55.5
Rounding to the nearest tenth, the average rate of change of the function over the interval 10 ≤ x ≤ 20 is approximately 55.5.
The graph shows the number of centimeters a particular plant grows over time. Given the points (0,0) and (5,8), how many centimeters does the plant grow per week?
can someone help me with this problem please?
Answer:
8 cm
m = -------------- This is the desired rate of change, the amount the plant
5 wk grows per 1 week.
Step-by-step explanation:
Moving from point (0, 0) to point (5, 8), we see that the x-coordinate (the 'run') increases by 5 wk and the y-coordinate (the 'rise') increases by 8 cm. Thus we have the rate of change
8 cm
m = -------------- This is the desired rate of change, the amount the plant
5 wk grows per 1 week.
The net of a triangular prism is shown
below.
8.5 cm
10 cm
10 cm
10 cm
What is the total surface area of the prism?
A 470 cm?
C 390.5 cm?
B 385 cm
D 342.5 cm
Answer:
i think a.... sorry if im wrong
Step-by-step explanation:
The translation rule is (x,y) (x+_,y+_)
Answer:
see below
Step-by-step explanation:
The question is not clear but I will provide info based on given
Translation of
(x, y) → (x + a, y+ b)means sliding by a points to left/right and by b points to up/down
If x represents the rate that Joy traveled at for the first half of the trip, write an
expression that represents the amount of time it takes Joy to complete the second half of the
trip at the slower rate.
Answer:
time taken for trip 2nd half > time taken for trip 1st half
Step-by-step explanation:
Let the total distance of Joy's trip be = D
Then, the first half distance travelled = D/2
The rate (speed) at which Joy travels during first half = x
So, time taken to travel first half = Distance / Speed
= (D/2) / x = D / 2x
Second half of trip distance travelled = remaining D/2Let the rate (speed) at which Joy travels during second half = x'
As given, x' (second half speed) < x (first half speed)
So, time taken to travel first half = Distance / Speed
(D/2) / x' = D / 2x'
As x' < x : D / 2x' > D / 2x .
Trip 1st half Time taken trip < 2nd half ; or trip 2nd half time taken > 1st half
what is 3 2/3 minus 2 1/5
Answer: 1 7/15 or 22/15
Step-by-step explanation: calculator
Answer:
1 7/15
Step-by-step explanation:
To solve this equation, we first need to find the least common denominator. In this case, the LCD of 3 and 5 is 15.
We can then convert our fractions to fifteenths.
Our new equation is 3 10/15 - 2 3/15.
From there, we can subtract normally and we get 1 7/15. We know that's in simplest form because 7 is a prime number
Does this table represent a function? Why or why not?
O
X
2
3
3
4
5
y
1
4
3
2
5
A. Yes, because there are different y-values.
B. Yes, because every x-value corresponds to exactly one y-value.
C.
No, because the y-values are positive.
D. No, because one x-value corresponds to two different y-values.
SUBMIT
The given table does not represent a function. The correct answer is D. No, because one x-value corresponds to two different y-values.
To determine if the table represents a function, we need to check if every x-value corresponds to exactly one y-value. Let's analyze the given table:
x | y
-------
O | 1
X | 4
2 | 3
3 | 2
3 | 5
4 |
5 |
From the table, we can see that the x-values are not unique. Both the values 3 and 4 appear twice in the x-column, but they have different corresponding y-values.
This violates the definition of a function, which states that each input (x-value) should have only one output (y-value).
Therefore, the given table does not represent a function.
The correct answer is D. No, because one x-value corresponds to two different y-values.
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4. A particle moves along the x-axis so that its position at any time is given by x(t) = 3t2 – 20t
for t > 0. For which of the following values of t is the speed the greatest?
(A) t = 1
(B) t = 2
(C) t = 3
(D) t = 4
c
Broken dreams and cigarettes again and again
Reelin' in my inner thoughts again and again
I just need a head rush again and again
I just need something that's not the same old thing
Use mathematical induction to show that when n is an exact power of 2, T ( n ) = n lg n is the solution of the recurrence relation.
Using the mathematical induction, proved that when n is an exact power of 2, T ( n ) = n log n is the solution of the recurrence relation.
Let, n = 2
T(2) = 2 log(2)
= 2(1)
This satisfies the recurrence relation T(n) = 2T(n/2) + n,
so the base case holds.
Assume that the statement is true for all k where k is an exact power of 2 and k <= n.
n = 2m,
where m is an integer.
Using the recurrence relation,
T(2m) = 2T(2m/2) + 2m
T(2m) = 2T(2m-1) + 2m
Substitute the value of T(2m-1)
T(2m) = 2[ T(2(m-1)) + 2(m-1) ] + 2m
T(2m) = 2T(2(m-1)) + 2m + 2m - 2
T(2m) = 2T(2(m-1)) + 2(2m - 1)
Using the induction hypothesis, we can replace T(2(m-1)) with its value
T(2m) = 2[ T(2(m-2)) + 2(m-2) ] + 2(2m - 1)
T(2m) = 2T(2(m-2)) + 2(2m - 2) + 2(2m - 1)
T(2m) = 2T(2(m-2)) + 2(2m - 1)
Continue this process until we reach the base case of T(2)
T(2m) = 2T(2) + 2(2m-1)log(2m-1) + 2(2m-2)log(2m-2) + ... + 2(2)log(2)
T(2m) = 4 + 2(2m-1)log(2m-1) + 2(2m-2)log(2m-2) + ... + 4
T(2m) = 2m log(2m) (by the identity 1 + 2 + 2^2 + ... + 2^(k-1) = 2^k - 1)
Therefore, T(n) = n log(n) is the solution of the recurrence relation when n is an exact power of 2.
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An organization estimated that in a particular year the population of a country spent $11.2 trillion in personal consumption. The major categories of these expenditures are durable goods ($ 1.8 trillion; for example, cars, furniture, recreational equipment), nondurable goods ($2.2 trillion; for example, food, clothing, fuel), and services ($6.9 trillion; for example, health care, education, transportation). Complete parts (a) through (e) below.
Answer:So the estimated amount of personal consumption expenditures on durable goods is 2.1 trillion dollars.
Step-by-step explanation:
(a) What percentage of personal consumption expenditures is spent on durable goods?
To find the percentage of personal consumption expenditures spent on durable goods, we divide the amount spent on durable goods by the total personal consumption expenditures and multiply by 100:
percentage spent on durable goods = (1.8/11.2) x 100% = 16.07%
So 16.07% of personal consumption expenditures is spent on durable goods.
(b) What percentage of personal consumption expenditures is spent on nondurable goods?
To find the percentage of personal consumption expenditures spent on nondurable goods, we divide the amount spent on nondurable goods by the total personal consumption expenditures and multiply by 100:
percentage spent on nondurable goods = (2.2/11.2) x 100% = 19.64%
So 19.64% of personal consumption expenditures is spent on nondurable goods.
(c) What percentage of personal consumption expenditures is spent on services?
To find the percentage of personal consumption expenditures spent on services, we divide the amount spent on services by the total personal consumption expenditures and multiply by 100:
percentage spent on services = (6.9/11.2) x 100% = 61.61%
So 61.61% of personal consumption expenditures is spent on services.
(d) If the estimates for durable goods and services are correct, what is the estimated amount of personal consumption expenditures on nondurable goods?
To find the estimated amount of personal consumption expenditures on nondurable goods, we subtract the estimated amounts spent on durable goods and services from the total personal consumption expenditures:
estimated amount spent on nondurable goods = total personal consumption expenditures - estimated amount spent on durable goods - estimated amount spent on services
estimated amount spent on nondurable goods = 11.2 - 1.8 - 6.9
estimated amount spent on nondurable goods = 2.5 trillion dollars
So the estimated amount of personal consumption expenditures on nondurable goods is 2.5 trillion dollars.
(e) If the estimates for nondurable goods and services are correct, what is the estimated amount of personal consumption expenditures on durable goods?
To find the estimated amount of personal consumption expenditures on durable goods, we subtract the estimated amounts spent on nondurable goods and services from the total personal consumption expenditures:
estimated amount spent on durable goods = total personal consumption expenditures - estimated amount spent on nondurable goods - estimated amount spent on services
estimated amount spent on durable goods = 11.2 - 2.2 - 6.9
estimated amount spent on durable goods = 2.1 trillion dollars
So the estimated amount of personal consumption expenditures on durable goods is 2.1 trillion dollars.
Mach up the answers on the left with the questions on the right
Answer:
0.40(80) --> markup of 40%
80 + 0.40(80) --> sale price after markup of 40%
0.25(80) --> discount of 25%
80 - 0.25(80) --> sale price after a discount of 25%
Explanation:
If we want to know how much is a markup of 40% over the price of $80, we need to multiply 0.4 by 80, so:
0.40(80) represents a markup of 40%
Then, the final price with this markup can be calculated as the sum of the initial price and the markup, so:
80 + 0.40(80) represents the sale price after markup of 40%
On the other hand, if we want to make a discount of 25%, we first need to calculate the discount as 0.25 times the price, so:
0.25(80) represents the discount of 25%
Then, the final price after the discount will be the initial price less the amount that you will discount, so:
80 - 0.25(80) represents the sale price after a discount of 25%
So, the answers are:
0.40(80) --> markup of 40%
80 + 0.40(80) --> sale price after markup of 40%
0.25(80) --> discount of 25%
80 - 0.25(80) --> sale price after a discount of 25%
Can someone help me out with this please
Choose h and k such that the system has (a) no solution, (b) a unique solution, and (c) many solutions.
x1 +hx2 = 3
5x1 + 15x2 = k
a. Select the correct answer below and fill in the answer box(es) to complete your choice. (Type an integer or simplified fraction.)
A. The system has no solutions only when k nothing and h is any real number.
B. The system has no solutions only when h nothing and k nothing.
C. The system has no solutions only when h nothing and k is any real number.
D. The system has no solutions only when h nothing and k nothing.
E. The system has no solutions only when h nothing and k nothing.
F. The system has no solutions only when k nothing and h is any real number.
G. The system has no solutions only when h nothing and k nothing.
H. The system has no solutions only when h nothing and k is any real number.
b. Select the correct answer below and fill in the answer box(es) to complete your choice. (Type an integer or simplified fraction.)
A. The system has a unique solution only when h and k
B. The system has a unique solution only when h =-and k is any real number.
C. The system has a unique solution only when k | and h is any real number.
D. The system has a unique solution only when h-U and k = 1
Answer:
a) C) The system has no solutions only when h=3 and k is any real number.
b) D) The system has a unique solution when \(h=(-\infty,3)U(3,\infty)\) and k is any real number.
c) The system has may solutions when h=3 and k=15
Step-by-step explanation:
a) In order to determine when the system will have no solution, we can start by solving the equation by substitution. We can solve the first equation for x1:
\(x_{1}+hx_{2}=3\)
so
\(x_{1}=3-hx_{2}\)
Next we can substitute this into the second equation so we get:
\(5(3-hx_{2})+15x_{2}=k\)
We distribute the 5 into the first parenthesis so we get:
\(15-5hx_{2}+15x_{2}=k\)
and group like terms:
\(-5hx_{2}+15x_{2}=k-15\)
we factor x2 so we get:
\(x_{2}(-5h+15)=k-15\)
and solve for x2:
\(x_{2}=\frac{k-15}{-5h+15}\)
this final answer is important because it tells us what value the system of equations is not valid for. That answer will not ve vallid if the denominator is zero, so we can set the denominator equal to zero and solve for h, so we get:
\(-5h+15= 0\)
and solve for h:
\(-5h= -15\)
\(h=\frac{-15}{-5}\)
\(h= 3\)
so it doesn't really matter what value k gets since all that matters is that the denominator of the answer isn't zero.
b)
For part b we need to know when the system of equations will have infinitely many answers. Generally, this will happen when both equations are basically the same, so we need to make sure to simplify the second equation so it looks like the first equation, compare them and determine the respective coefficients.
So we take the second equation and factor it:
\(5x_{1}+15x_{2}=k\)
we start by factoring a 5 from the left side of the equation so we get:
\(5(x_{1}+3x_{2})=k\)
Next, we divide both sides of the equation into 5 so we get:
\(x_{1}+3x_{2}=\frac{k}{5}\)
we now compare it to the first equation:
\(x_{1}+hx_{2}=3\)
\(x_{1}+3x_{2}=\frac{k}{5}\)
In this case, every coefficient of the two equations must be the same for us to get infinitely many answers, so we can see that h=3 and \(\frac{k}{5}=3\)
when taking the second condition and solving for k we get that:
\(k=3(5)\)
so
k=15
Anything else than the specific combination h=3 and k=15 will give us unique solutions, so for b, the answer is:
D) The system has a unique solution when and k is any real number.
c)
We have already solved part c on the previous part of the problem, so the answer is:
The system has many solutions when h=3 and k=15
Help Quickly! A truck needs 7 gallons of fuel to travel 56 miles. Can the truck travel 48 miles with 6 gallons of fuel? Explain.
Giving brainliest
Pick A, B, C, or D
A truck needs 7 gallons of fuel to travel 56 miles. Can the truck travel 48 miles with 6 gallons of fuel
A.
O Yes; 7/56 and 48/6 are proportional because 7 * 6 = 48 * 56.
How to check if the proportion is correctTo determine if the truck can travel 48 miles with 6 gallons of fuel, we can compare the ratios of fuel consumption to distance traveled.
The ratios are compared as follows
7 gallons = 56 miles
x gallons = 48 miles
cross multiplying gives
58 * x = 7 * 48
isolating x
x = 7 * 48 / 56
x = 6
Since x is equal to 6 then we can say that 7/56 and 48/6 are proportional
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please help i will mark the person that gets this right
Answer:
Maria made more
Step-by-step explanation:
How many different ways are there to arrange the letters in the word MISSISSIPPI?
Answer: 34,650 permutations
what is the height I need to get a 100 on this one someone help please
Answer:
\(\bf 5\:inches\)
Step-by-step explanation:
Missing Height= ?
missing height:-
\(\bf 15\:in-10\;in\)
\(\bf =5 \; in\)
Therefore, the missing height is 5 inches.
1. Suppose you pay back $680 on a $650 loan you had for 75 days. What was your simple annual interest rate?
well, let's assume a year has 365 days, so 75 days is simply 75/365 of a year. We also know that your loan was $650 and you paid back $680 or namely 30 bucks extra, so the interest on those $650 is really 30 bucks.
\(~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\dotfill &\$30\\ P=\textit{original amount deposited}\dotfill & \$650\\ r=rate\to r\%\to \frac{r}{100}\\ t=years\to \frac{75}{365}\dotfill &\frac{15}{73} \end{cases} \\\\\\ 30 = (650)(\frac{r}{100})(\frac{15}{73})\implies 30=\cfrac{9750r}{7300}\implies 30=\cfrac{195r}{146}\implies 4380=195r \\\\\\ \cfrac{4380}{195}=r\implies \stackrel{\%}{22.46}\approx r\)
Please help me with this question
Step-by-step explanation:
and plot the normal 1 , I am pretty sure
4gal. 2qt - 3gal. 3qt=
I really need help with this please. I would really appreciate it
Answer:
0.75gal.
Step-by-step explanation:
(4gal.) (2qt) - (3gal.) (3qt) =
the easiest way to solve this would be get everything in the same units,
lets make the qt to gallons
2qt = 0.5gal divide the volume value by 4
3qt = 0.75gal
(4gal.) + (0.5gal.) - (3gal.) + (0.75gal.)
= (4.5gal.) - (3.75gal.)
= 0.75gal.
Determine whether the underlined number is a statistic or a parameter A sample of seniors is selected and it is found that 25% own a computer Choose the correct statement below
A. Parameter because the value is a numerical measurement describing a characteristic of a sample
B. Statistic because the value is a numerical measurement describing a characteristic of a population
C. Statistic because the value is a numerical measurement describing a characteristic of a sample
D. Parameter because the value is a numerical measurement describing a characteristic of a population urses
Answer:
C. Statistic because the value is a numerical measurement describing a characteristic of a sample
5 more than the product of 12 and 8 as a numerical expression.
Answer:
(12x8) + 5
Step-by-step explanation:
The product of 12 and 8 would be multiplication, so you can represent that as
(12x8) or 12x8
"5 more" simply means addition
So if you were to put all that together as a numerical expression it would be
(12x8) + 5
Hope this helps!
What are the coordinates of the vertex for
f(x)= 3x^2 +6x+3:
(-1,0)
(3.6)
(0,-1)
(6,3)
Answer:
Step-by-step explanation:
f(x) = 3x^2 + 6x + 3
a of s: -6/6 = -1
3(-1)^2 + 6(-1) + 3
3 - 6 + 3
-3 + 3 = 0
(-1,0)
answer is A. the first one