USE STRUCTURE The graph of a quadratic function has a vertex (2, 0). One point on the graph is (S. 9). Explain how to find another
point on the graph.
. It can be found by graphing the points given and sketching the parabola
Another point on the graph is (-1,
that passes through them. You can move over and up from the vertex and do the same on the opposite side of the line x=
Answers
It can be found by graphing the points given and sketching the parabola. Another point on the graph is (-1, 9) that passes through them. You can move over and up from the vertex and do the same on the opposite side of the line x = -1.
How to determine the other points for the given quadratic equation?In Mathematics and Geometry, the vertex form of a quadratic function is represented by the following mathematical equation:
f(x) = a(x - h)² + k
Where:
h and k represents the vertex of the graph.a represents the leading coefficient.Based on the information provided, the vertex is located at point (2, 0), and this ultimately implies that the axis is represented by the vertical line x = 2 that passes through the vertex.
Additionally, the parabola would be bilaterally symmetric about the above axis, and the mirror image of the point (5, 9) would also be on this parabola.
Therefore, the mirror image would have the same y-coordinate of 9 while the x-coordinate is given by:
x = 2 - (5 -2)
x = -1.
In conclusion, the required point is (-1, 9).
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Complete Question:
The graph of a quadratic function has a vertex (2, 0). One point on the graph is (5, 9). Explain how to find another point on the graph. It can be found by graphing the points given and sketching the parabola. Another point on the graph is (-1, _) that passes through them. You can move over and up from the vertex and do the same on the opposite side of the line x=
Related Questions
Jacob walks 1.250 meters to school every day. How many kilometers does Jacob walk in one week?
HELP ASAP
Answers
Answer:
ways and answer are in paper
^^^^^^^
A population of rare birds in town is currently listed at 2,000. It is declining at a rate of 2% per year. How many birds will be left after 20 years? Round your answer to the nearest whole number.
A. 1,335 birds
B. 1,980 birds
C. 2,972 birds
D. 23 birds
Answers
Option(A) is the correct answer is A. 1,335 birds.
To calculate the number of birds that will be left after 20 years, we need to consider the annual decline rate of 2%.
We can use the formula for exponential decay:
N = N₀ * (1 - r/100)^t
Where:
N is the final number of birds after t years
N₀ is the initial number of birds (2,000 in this case)
r is the annual decline rate (2% or 0.02)
t is the number of years (20 in this case)
Plugging in the values, we get:
N = 2,000 * (1 - 0.02)^20
N = 2,000 * (0.98)^20
N ≈ 2,000 * 0.672749
N ≈ 1,345.498
Rounded to the nearest whole number, the number of birds that will be left after 20 years is 1,345.
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round 36 to the nearest hundredth. for the brainiest
Answers
36 to the nearest hundredth is just 36
To round 36 to the nearest hundredth consider the thousandths' value of 36, which is 0 and less than 5. Therefore, the hundredths' value of 36 remains 36
Answer:
Round 36 to the nearest tenth, Leaving only one number after the decimal point, Then you have come to the right post.
Step-by-step explanation:
Round off to nearest 10. Rounding every place-value of number. Round off a number to the nearest tens round off to the nearest multiple of ten.
A large number may be rounded off to the nearest 10.
Hope It Helps!
The product of two consecutive odd integers is 63. If x is the smallest of the integers, write an equation in terms of x that describes the situation, and then find all such pairs of integers.
The equation that describes the situation is __________________
The positive set of integers is _________________
The negative set of integers is _________________
Answers
9514 1404 393
Answer:
x(x+2) = 637, 9-9, -7Step-by-step explanation:
If x is an odd integer, the next greater odd integer is x+2. The product is said to be 63, so the equation is ...
x(x +2) = 63
__
The equation can be rewritten as ...
(x +1)² = 64
x = -1 ±√64 = -1 ±8
The positive solution is x=7, so the positive set of integers is {7, 9}.
The negative solution is x=-9, so the negative set of integers is {-9, -7}.
Find the equation of a straight line cutting off the y-intercept 4 from the axis of y and inclined to 60° with the positive direction of X-axis.
Answers
The linear function is given as follows:
\(y = \sqrt{x} + 4\)
How to define a linear function?The slope-intercept equation for a linear function is presented as follows:
y = mx + b
In which:
m is the slope.b is the intercept.The y-intercept is of 4, hence the parameter b is given as follows:
b = 4.
The line is inclined to 60° with the positive direction of X-axis, hence the slope m is given as follows:
m = tan(60º)
\(m = \sqrt{3}\)
Thus the function is given as follows:
\(y = \sqrt{x} + 4\)
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5.
a.
A study conducted at a school showed that the batteries used by calculators lasted an average of 101 days with a margin of error of ‡9 %.
What is the minimum average number of days a teacher can expect to have the batteries last in her classroom?
b.
There are roughly 279 days from the first day of school until the last day of school, the teacher has 24
TI-84 calculators and each one requires 4 triple A batteries. If the teacher can buy triple A batteries wholesale at 52 cents a battery, how much do you think she will need to spend at most on batteries for calculators over the year?
Answers
a. The teacher can expect the batteries to last at least 92.09 days on minimum average.
b. The teacher will need to spend at most $49.92 on batteries for calculators over the year.
What is minimum average day?
a. The margin of error of ‡9% means that we can be 95% confident that the true average number of days the batteries will last is within 9% of the sample average. To find the minimum average number of days a teacher can expect to have the batteries last in her classroom, we subtract the margin of error from the sample average:
Minimum average = 101 - (0.09)(101) = 92.09 days (rounded to two decimal places)
Therefore, the teacher can expect the batteries to last at least 92.09 days on average.
What is spend ?
b. The total number of batteries required for the 24 TI-84 calculators is:
24 calculators x 4 batteries per calculator = 96 batteries
The total cost of the batteries will be:
96 batteries x $0.52 per battery = $49.92 (rounded to two decimal places)
Therefore, the teacher will need to spend at most $49.92 on batteries for calculators over the year, assuming all batteries need to be replaced.
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Write two multiples of 7 that have a factor of 5. Use equations to explain
Answers
The multiples of 7 that have a factor of 5 are 35 and 70.
Equation
Equation is an expression used to show the relationship between two or more variables and numbers
The multiple of 7 with a factor of 5 is gotten by multiplying 7 * 5.
One multiple of 7 that has a factor of 5 = 7 * 5 * 1 = 35
The second multiple of 7 that has a factor of 5 = 7 * 5 * 2= 70
The multiples of 7 that have a factor of 5 are 35 and 70.
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Here is a linear equation: y = 1/4x +5/4
Are (1, 1.5) and (12, 4) solutions to the equation?
Yes or No?
PLEASE NEED HELP
Answers
Answer:
The answer is "yes"Step-by-step explanation:
make me brainliest pls and follow me
I NEED HELP WITH THESE 4 ASAP
Answers
Answer:
I'm confused by this. What do they mean by prove?
Step-by-step explanation:
A technical machinist is asked to build a cubical steel tank that will hold 220 L of water.Calculate in meters the smallest possible inside length of the tank. Round your answer to the nearest 0.001 m.
Answers
As per given by the question,
The given value is 220 L, i.e volume.
Now,
There is need to calculatea cube volume.
So,
Cube volume is calculated by multiplying the lenght cube .
That means,
\((\text{length)}^3\)Then,
The volume of the tank is 220 L.
So,
From the formula of volume,
\(V=R^3\)Then,
\(\begin{gathered} V=R^3 \\ 220=R^3 \\ R=\sqrt[3]{\frac{220}{1000}} \end{gathered}\)Then, according to properties;
\(\begin{gathered} 1L=\frac{1}{1000}m^3,\text{ so} \\ 220L=\frac{220}{1000} \end{gathered}\)Then,
\(\begin{gathered} R=\sqrt[3]{\frac{220}{1000}} \\ R=6.0368 \end{gathered}\)Now,
For the nearest 0.001,
\(\begin{gathered} R=\frac{6.0368}{10}m \\ R=0.6038 \end{gathered}\)Hence, the smallest possible inside length is 0.604.
nearly 5 out of 6 people choose vanilla as their favorite ice cream flavor. if 132 people attend an ice cream social, how many would you expect to choose vanilla?
Answers
110 people are expected to choose vanilla.
What is a fraction?A fraction contains a numerator and a denominator and
denominator > numerator.
Example: \(\frac{1}{2}\) is a fraction.
We have,
\(\frac{5}{6}\) people choose vanilla.
Total people = 132
The number of people who choose vanilla.
= \(\frac{5}{6}\) x 132
= 110
Thus,
110 people are expected to choose vanilla.
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Which of the following phrases should not be expressed using a negative number?
Answers
Answer:
its 1900 Bc. Because BC stand for before chirst
Step-by-step explanation:
Use 1/2ab sin C formula pls
Answers
Step-by-step explanation:
\(area = \frac{1}{2} a.b \sin(C) \\ from \:cosine \: rule \\ {c}^{2} = {a}^{2} + {b}^{2} - 2a.b \cos(C) \\ 36 = 144 + 81 - (2 \times 12 \times 9) \cos(C) \\ 189 = 216 \cos(C) \\ \cos(C) = 0.875 \\ C = \cos {}^{ - 1} (0.875) \\ C = 28.96 \degree \\ area = \frac{1}{2} \times 144 \times 9 \times \sin(28.96 \degree) \\ area = 313.8 \: sq \: units\)
Lana correctly answered 48 of 60 questions on a math exam. What percent of questions did she answer correctly?
Answers
Answer:
I think it roughly 66.67%
Step-by-step explanation:
sorry if I'm no help
The percent of questions she answered correctly is 80%.
How to find the percentage from the total value?Suppose the value of which a thing is expressed in percentage is "a'
Suppose the percent that considered thing is of "a" is b%
Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).
Given;
Lana correctly answered 48 of 60 questions on a math exam
Now,
=48*100/60
=480/60
=80
Therefore, the percentage will be 80%.
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QUESTION as picture below
Answers
PLEASE HELP 100 POINTS AND BRAINLY
Answers
Answer:
Step-by-step explanation:
Answer:
(2 , 2) is the solution
Step-by-step explanation:
7x - 4y = 6
-6x + 7y = 2
49x - 28y = 42
-24x + 28y = 8
25x = 50
therefore
x = 2
7x - 4y = 6
7×2 - 4y = 6
14 - 4y = 6
14 - 6 = 4y
8 = 4y
8 ÷ 4 = 4y ÷ 4
2 = y
therefore
x = 2
y = 2
hope this will helpful to you....
Google maps has told Juanita that her car trip will be 32 miles. Juanita has already gone 14 miles. How fast, in miles per hour, must Juanita drive to arrive in 16 more minutes?
Answers
Answer:
Speed= 67.5 miles per hour
Step-by-step explanation:
Google maps has told Juanita that her car trip will be 32 miles.
Juanita has already gone 14 miles.
Remaining miles left to travel
= 32-14
Remaining miles left to travel
= 18 miles
She has only 16 minutes to reach her destination.
The required speed for her to reach her destination
= Distance/time
Her time = 16 minutes
Her time = 16/60
Her time =4/15 hours
Speed= distance/time
Speed= 18 /(4/15)
Speed=18* 15/4
Speed= 67.5 miles per hour
Juanita needs to drive at 67.5 miles per hour to arrive in 16 more minutes
The total distance (D) is given as:
\(\mathbf{D = 32miles}\)
She has traveled 14 miles;
So, the remaining distance (d) is:
\(\mathbf{d = D -14}\)
This gives
\(\mathbf{d = 32 -14}\)
\(\mathbf{d = 18}\)
Speed is calculated as:
\(\mathbf{Speed = \frac{distance}{time}}\)
Where: distance = 18 miles and time = 16 minutes
So, we have:
\(\mathbf{Speed = \frac{18\ miles}{16\ minutes}}\)
Convert time to hour
\(\mathbf{Speed = \frac{18\ miles}{16/60\ hour}}\)
So, we have:
\(\mathbf{Speed = \frac{18 \times 60\ miles}{16\ hour}}\)
\(\mathbf{Speed = \frac{1080\ miles}{16\ hour}}\)
Divide
\(\mathbf{Speed = 67.5\ miles/ hour}\)
Hence, the speed is 67.5 miles per hour
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Hello, can you help me?, thank you
Answers
Answer:105216
Step-by-step explanation:17,536*6=105216
Answer:
105,216
Step-by-step explanation:
17,536*6
Please explain your answer. Will mark Brainliest (question 9)
Answers
The initial investment of the function is 20 dollars.
The rate growth in percentage is 4%.
The investment after 10 years is 29.6 dollars.
How to solve function?The function \(y=20(1.04)^{t}\) represents the value y of a saving account after t years.
Therefore, the initial investment of the function is 20 dollars.
The rate growth in percentage can be calculated as follows;
rate growth in percent = 0.04 × 100
rate growth in percent = 4 %
Let's find the value of the investment after 10 years.
Therefore,
\(y=20(1.04)^{t}\)
t = 10
\(y=20(1.04)^{10}\)
\(y=20(1.48024428492)\)
y = 29.6048856984
Therefore, the investment after 10 years is as follows:
y = 29.6 dollars
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Brainliest for correct awnser Estimate the line of best fit using two points on the line.A.y = −8x + 80B.y = 4x + 80C.y = −4x + 80D.y = 8x + 80
Answers
Answer:
A.y = −8x + 80B
Step-by-step explanation:
first you have to find the slope :
P1(2,64). P2(6,32)
slope=Y2-Y1/X2-X1
slope=64-32/2-6
slope= -8
y= -8x + b. now solve for "b" by using one of the coordinates given above.
y= -8x + b. I will use coordinate p(2,64)
64= -8(2) + b
64 + 16 = b
80= b
you can use any of the coordinates i.e either P1(2,64)or P2(6,32) it doesn't affect the value of "b".
line of equation is :
.y = −8x + 80B
Answer: y= -8x+80
Step-by-step explanation:
Multiply: 14.3 x 0.5. SHOW YOUR WORK!
Answers
14.3x0.5 =7.15 all you have to do is line them up or do it old fashion way
what is the best college to go to?
Answers
Answer:
The the best college to go to is the one where you feel comfortable.
Step-by-step explanation:
It is so important to understand the sence of what is actually "the best" college to go to.
You can look at that from a viriety of perspectives, and it is debatable to just go for the college which holds the highest rank on some site.
There are a lot of factors to consider, and what is generally considered the best college does not necassarilly the right one for you.
Ask your loved ones for advice and if you can take a look at yourvtop thee collages.
The the best college to go to is the one where you feel comfortable.
What is the area of a sector when r = 2 and 0 = 1.75 radians?
Answers
Step-by-step explanation:
Area of sector = (θ/2) × r2
= (1.75/2) × 2×2
= (0.875) ×4
= 3.5 In2
3(x-5) = 2(x-5)+x true or false?
Answers
Answer:
FALSE
Step-by-step explanation:
In order to solve this equation,
First, we must write it out
3(x - 5) = 2(x - 5) + x
Then, we must use the Distributive Property
3x - 15 = 2x - 10 + x
Next, we must Combine Like Terms
3x - 15 = 3x - 10
Finally, we can Subtract The Coefficients
-15 = -10
Because -15 does not equal to -10, this equation has no solution
IT IS FALSE
if you have more questions, comment me below or add another question
In ΔUVW, the measure of ∠W=90°, UW = 39, WV = 80, and VU = 89. What is the value of the sine of ∠V to the nearest hundredth?
Answers
Answer:
In ΔUVW, the measure of ∠W=90°, WV = 39, UW = 80, and VU = 89. What ratio represents the cosine of ∠U? Therefore, the ratio that represents the cosine of ∠U is 39/81.
Step-by-step explanation: hope this helps
Write 4.48 as a mixed number in simplest form.
Answers
Answer:
4 12/25
Step-by-step explanation:
4.48 can be written as 4 48/100
Simplify
4 24/50
Simplify some more
4 12/25
Hope this helped :)
(Didn't you just ask this question?)
Answer:
4 48/100 or 4 12/25
Step-by-step explanation:
the 48 in the hundredths place is obviously going to equal 48/100 and you can divide both the 48 and 100 by 4. 48÷4=12 100÷4=25
♦️ANSWER NEEDED QUICK, SHOW YOUR WORK♦️
A seamstress uses 200 yards of fabric to make 150 dresses of the
same size. At this rate how many yards of fabric are needed to
make 1 dress?
Answers
Answer:
1 and 1/3 yard
Step-by-step explanation:
200 divided by 150 is equal to 4 divided by 3
using a fraction calculator i did
4 3 1
- / - = 1 -
1 1 3
Answer:
How many yards to make one dress? = 1.33
Step-by-step explanation:
This is a ratio problem (fractions) used to solve an unknown.
if 200yds makes 150 dresses then let x (your unknown) be the yds needed to make 1 dress.
200/150 = x/1
150*x = 200*1
150x = 200
150x/150 = 200/150
x = 200/150
x = 1.33333
Claudius took out an unsubsidized Stafford loan at the beginning of his six-year college career. The loan had a
principal of $4,850, an interest rate of 6.5% compounded monthly, and a duration of ten years. If Claudius started
paying off the loan when he graduated, what is his monthly payment? Round all dollar values to the nearest cent.
a. $71.37
b. $81.25
C. $55.07
d. $76.55
Please select the best answer from the choices provided
СА
B
Oo oo
00
D
Answers
Answer:
B. 81.25
Step-by-step explanation:
If you were to test a point that is on the line,
would that make the inequality true or not?
1. No, a point on the line is not a solution to the inequality.
2. Yes, a point on the line is a solution to the inequality.
,
Answers
Answer:
the answer depends on the inequality symbol; if the symbol is < or >, points on the line are not solutions
if the symbol is ≤ or ≥ then points which lie on the line are solutions
Step-by-step explanation:
The owner of a deli recorded the number of customers who ordered each of four sandwiches available if the deli has 50 customers the first hour it is open predict how many customers will order turkey sandwiches
Answers
The first hour there will be 18 costumers that will order Turkey sandwiches
Probability
First, we want to find the probability of having a costumer who choose Turkey sandwich.
In order to find it, we calculate the ratio of turkey sandwiches over the total number of orders.
Turkey sandwiches: 180
Total number of orders: 160 + 100 + 180 + 60 = 500
Ratio = turkey / total
Ratio = 180 / 500 = 0.36
Then, the probability of having a costumer who choose Turkey sanwich is
P(T) = 0.36 = 36%
Secondly, in order to find the 36% of 50, we just multiply 0.36 by 50:
Hence , the first hour there will be 18 costumers that will order Turkey sandwiches
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