Change the following statement into coordinate points
a)f(-1)=1
b)f(2)=7
c)f(1)=1
d)f(3)=0
Answers
Changing [f(-1) = 1] into coordinate points, we get (x₁, y₁) = (-1, 1),
Changing [f(2) = 7] into coordinate points, we get (x₂, y₂) = (2, 7),
Also, changing [f(1) = 1] into coordinate points, we get (x₃, y₃) = (1, 1),
And finally, changing [f(3) = 0] into coordinate points,
We get (x₄, y₄) = (3, 0).
As per question statement, we are provided with Four separate functions, as follows, [f(-1) = 1], [f(2) = 7], [f(1) = 1] and [f(3) = 0].
We are required to convert the above mentioned functions into coordinate points.
To solve this question, we need to know the standard form of conversion of functions into coordinate points, which goes as [y = f(x)], i.e., the ordinate is a function of the abscissa.
Thus comparing [y = f(x)] to [1 = f(-1)], we get (x, y) = (-1, 1).
Similarly, comparing [y = f(x)] to [7 = f(2)], we get (x, y) = (2, 7),
Comparing [y = f(x)] to [1 = f(-1)], we get (x, y) = (-1, 1),
And finally, comparing [y = f(x)] to [0 = f(3)], we get (x, y) = (3, 0).
Function: In Mathematics, a function is an operator which when provided with a input, gives a certain output.Coordinate Points: The coordinates of a point are a pair of numbers that define its exact location on a two-dimensional plane by using the horizontal and vertical distances from the two reference axes.To learn more about Coordinate Points, click on the link below.
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Related Questions
Subtracting Fractions:
What’s 4 - 4/7 =
2.) 3 - 5/7 =
3.) 4 - 3/4 =
4.) 2 - 5/8 =
need help with this I’ll give brainlist!
Answers
Answer:
\(4 - \frac{4}{7} \\ \frac{4 \times 7 - 4}{7} \\ \frac{28 - 4}{7} \\ \frac{24}{7}
I hope it helped U
stay safe stay happy
How would the graph of f(x) = −3(x + 2)^2 − 5 be affected if the function was changed to f(x) = 1/2(x − 2)^2 − 5? Select ALL that apply.
1) It would change from opening up to opening down.
2) It would change from opening down to opening up.
3) It would shift four units to the right.
4) It would shift four units to the left.
5) It would shift four units up.
6) It would shift four units down.
7) It would become wider.
8) It would become narrower.
Answers
Answer:
This will be your answer. I hope this helps, good luck! :)
A glass container has a volume of 42.12 mL. A lead sphere of radius 0.8276 inch is placed inside the glass container. How much water must be added to exactly fill the container with the lead sphere sitting at the bottom of the container? Give the correct answer with the proper number of significant figures. The volume of a sphere is V=
3
4
πr
3
.
Answers
Approximately 60.41 mL of water must be added to exactly fill the glass container with the lead sphere sitting at the bottom.
To calculate the volume of the lead sphere, we can use the formula for the volume of a sphere:
V_sphere = (4/3) * π * r^3
First, we need to convert the radius of the sphere from inches to millimeters since the volume of the container is given in milliliters.
1 inch is equal to 25.4 millimeters, so the radius of the sphere in millimeters is:
r = 0.8276 inch * 25.4 mm/inch = 21.00604 mm
Now, we can calculate the volume of the lead sphere:
V_sphere = (4/3) * π * (21.00604 mm)^3
Next, we need to determine the volume of water required to fill the container. We subtract the volume of the lead sphere from the volume of the glass container:
V_water = V_container - V_sphere
Given that the volume of the glass container is 42.12 mL, we substitute the values:
V_water = 42.12 mL - V_sphere
Finally, we calculate the volume of water required:
V_water = 42.12 mL - [(4/3) * π * (21.00604 mm)^3]
Evaluating the expression, we find that approximately 60.41 mL of water must be added to exactly fill the glass container with the lead sphere sitting at the bottom.
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Two numbers have a difference of 17 and a sum of 23 which system of equations can be used to determine x and y the two numbers?
Answers
Answer:
d
Step-by-step explanation:
What is the solution to this system of equations?
4x + 5y = 7
3x - 2y = -12
Multiply each equation by a number that produces opposite
coefficients for x ory:
45
The solution is
BN
Answers
Answer:
x = -2, y = 3
Step-by-step explanation:
Given equations are,
4x + 5y = 7 ---------(1)
3x - 2y = -12 ----------(2)
Multiply equation (1) by 3
12x + 15y = 21 ------(3)
Multiply equation (2) by (-4)
-12x + 8y = 48 --------(4)
Now add equations (3) and (4),
(12x + 15y) + (-12x + 8y) = 21 + 48
(12x - 12x) + (15y + 8y) = 69
23y = 69
y = 3
From equation (2),
3x - 2(3) = -12
3x - 6 = -12
3x = 6 - 12
x = -2
Therefore, x = -2 and y = 3 will be the answer.
Answer:
What is the solution to this system of equations?
\(4x +5y = 7\)
\(3x-2y=-12\)
The solution is ✔ \((-2,3)\) .
hi i will be giving brainlist to best answer
Match the following equation with the appropriate graph, table or written description.
y=10x+15
Answers
this is because when x is 0, the cost of y is 15
(the +15 is called our initial amount it is when x is equal to zero)
from here if you multiply x by 2 the answer is 20 from our equation 10 times 2 is 20
add the 15 and now our y value is 35
this can be seen on that table when x is 2, the y is 35
deck design the rayburns current deck is 12 feet by 12 feet. they decide they would like to expand their deck and maintain its square shape. how much larger will each side need to be for the deck to have an area of 200 square feet? round to the nearest hundredth, if necessary.
Answers
Each side of the Rayburns' deck has to be increased by 2.14 ft to make the deck a square of area 2-- sq ft.
It is given that currently, Rayburn's deck is a square of side 12 ft.
The area of the deck the Rayburns want their deck to be is 200 sq. ft.
It is given that they want to keep their deck's square shape intact.
Let the side of the deck be x ft.
The area of the deck will be x² sq. ft
According to the problem,
x² = 200
or, x = √200
or, x = 10√2
We know that √2 = 1.4142
Therefore 10√2 ft = 10 X 1.4142 ft
= 14.142 ft
We need to round the result off to the nearest hundredth.
The number at the hundredth place is 4. Since the number next to it i.e 2 is less than 5, we get
14.14 ft.
Therefore each side needs to be larger by
14.14 ft. - 12 ft
= 2.14 ft
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Tom woke up one morning and the temperature was −6° Celsius. The high temperature that day was 6° Celsius. What was the difference between the low temperature and the high temperature that day?
Answers
Answer:
12˚C
Step-by-step explanation:
If the high temperature is 6˚ and the low temperature is -6˚, the difference is
6˚-(-6˚)
=6˚+6˚
=12˚.
There are 3 white tiles for ever 5 shaded tiles.There are 40 tiles all together.How many tiles are white?How many tiles are shaded?
Answers
Answer:
25 shaded tiles and 15 white tiles
Step-by-step explanation:
Added up these all make 40 tiles, making them the only answer. Hope this helps.
In a standard Normal distribution, 1.5% of observations lie above which z-score?
Find the z-table here.
A -2.17
B -1.03
C 1.03
D 2.17
Answers
Answer:
2.17
Step-by-step explanation:
math is so hard but I'm learning
Factor the expression completely
8x2-18
A. 2(2x - 3)(2x + 3)
B. 2(2x+3)(2x - 3)
C. 2(4x2 – 9)
D. 2(4x+3)(x - 3)
Answers
Answer:
2 ( 2x+3) (2x-3)
Step-by-step explanation:
8x^2-18Factor out the greatest common factor of 2
2( 4x^2 -9)
2 ( (2x)^2 - 3^2)
What is inside the parentheses is the difference of squares
a^2 - b^2 = (a+b)(a-b)
2 ( 2x+3) (2x-3)
Answer:
B. 2( 2 x + 2 ) ( 2x - 3 )
Step-by-step explanation:
8 x² - 18
2 ( 4 x ² - 9 )
2 ( ( 2x ) ² - ( 3 )²)
2 ( 2 x + 3 ) ( 2x - 3 )
use the paste option to paste the content, including formulas, but none of the formatting into a worksheet.
Answers
What is this question I don't understand
Nilopal is 2 years older than Devjan who is 7 years older than Sucha. If their combined age is 61 years, find age of each person?
Answers
Answer:
23, 30, 8
Step-by-step explanation:
Assume that certain data is normally distributed (ie. bell-shaped) with a mean of 20 and a standard deviation of 5. What percentage of the data will be between 5 and 35? a. 95% b. 75%
c. 99.7% (practically all of the data) d. 68%
Answers
The percentage of data that will be between 5 and 35, assuming a normal distribution with a mean of 20 and a standard deviation of 5, is d)68%.
To understand why, we can use the empirical rule, also known as the 68-95-99.7 rule, which states that for a normal distribution, approximately 68% of the data falls within one standard deviation of the mean, 95% falls within two standard deviations of the mean, and 99.7% falls within three standard deviations of the mean. In this case, the interval between 5 and 35 is two standard deviations away from the mean of 20. Therefore, approximately 95% of the data falls within this interval. However, since the normal distribution is symmetric, we know that half of this percentage is on either side of the mean, so the percentage of data between 5 and 35 is 95%/2 = 47.5%. To find the percentage of data within one standard deviation of the mean, we subtract the percentage outside this interval from 100%: 100% - (100% - 95%)/2 = 68%. Therefore, the answer is d) 68%.
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The function has a Select an answer of at x = The function is increasing on the interval(s): The function is decreasing on the interval(s): dropdown : minimum/maximum
Answers
From the graph, we can observe that the function has a maximum of 1 at x = 1
The maximum value of a function is the place where a function reaches its highest point
Consider the graph below, the region where the graph is increasing and decreasing is shown below:
Using interval notation, the intervals are:
\(\begin{gathered} increasing\text{ : \lparen-}\infty,\text{ 1\rparen} \\ decreasing\text{ : \lparen1 , }\infty) \end{gathered}\)Answer Summa
\(\begin{gathered} The\text{ function has a maximum of 1 at x = 1} \\ The\text{ function is increasing on the intervals \lparen-}\infty,\text{ 1\rparen . The function is decreasing on the} \\ interval\text{ \lparen1, }\infty) \end{gathered}\)
help asap thank you so much
Answers
Answer:
3/2
Step-by-step explanation:
count up 3 count right 2, 3/2
Answer:
A
Step-by-step explanation:
Gradient = change in y/change in x
So change in x is 2 and change in y is 3
So it should be 3/2 which is A
Hopefully its right!!
Describe fully the single transformation that takes shape A to shape B.
I've managed to get the 2/3 marks, however i am struggling to get the final mark. PLEASE HELP!!!
Answers
Answer:
Step-by-step explanation:
Its a dilation of scale factor -2 centered at (6, 5).
Answer:
enlarged by scale factor -1/2, centre 6,5
Solve for $x$, where $x > 0$ and $0 = -21x^2 - 11x + 40.$ Express your answer as a simplified common fraction.\(Solve for $x$, where $x \ \textgreater \ 0$ and $0 = -21x^2 - 11x + 40.$ Express your answer as a simplified common fraction.\)
Answers
Answer:
\(\large \boxed{\sf \ \ \dfrac{8}{7} \ \ }\)
Step-by-step explanation:
Hello, please consider the following.
The solutions are, for a positive discriminant:
\(\dfrac{-b\pm\sqrt{\Delta}}{2a} \ \text{ where } \Delta=b^2-4ac\)
Here, we have a = -21, b = -11, c = 40, so it gives:
\(\Delta =b^2-4ac=11^2+4*21*40=121+3360=3481=59^2\)
So, we have two solutions:
\(x_1=\dfrac{11-59}{-42}=\dfrac{48}{42}=\dfrac{6*8}{6*7}=\dfrac{8}{7} \\\\x_2=\dfrac{11+59}{-42}=\dfrac{70}{-42}=-\dfrac{14*5}{14*3}=-\dfrac{5}{3}\)
We only want x > 0 so the solution is
\(\dfrac{8}{7}\)
Hope this helps.
Do not hesitate if you need further explanation.
Thank you
4) How many strings of length 10 over the alphabet {A, B, C} have at exactly 4 occurrences of A or 4 occurrences of B or 4 occurrences of C
Answers
Therefore, there are 567,540 strings of length 10 over the alphabet {A, B, C} that have exactly 4 occurrences of A or 4 occurrences of B or 4 occurrences of C.
To calculate the number of strings of length 10 over the alphabet {A, B, C} that have exactly 4 occurrences of A or 4 occurrences of B or 4 occurrences of C, we can break down the problem into three cases:
Case 1: Exactly 4 occurrences of A
In this case, we need to choose 4 positions out of the 10 for the A's, and for each position, we can choose any of the 3 remaining alphabet symbols (B or C). The remaining positions will be filled with the remaining alphabet symbols. The number of strings in this case can be calculated as:
\(C(10, 4) * 3^6\)
Case 2: Exactly 4 occurrences of B
Similar to Case 1, we need to choose 4 positions out of the 10 for the B's, and for each position, we can choose any of the 3 remaining alphabet symbols (A or C). The remaining positions will be filled with the remaining alphabet symbols. The number of strings in this case can be calculated as:
\(C(10, 4) * 3^6\)
Case 3: Exactly 4 occurrences of C
Similar to Case 1 and Case 2, we need to choose 4 positions out of the 10 for the C's, and for each position, we can choose any of the 3 remaining alphabet symbols (A or B). The remaining positions will be filled with the remaining alphabet symbols. The number of strings in this case can be calculated as:
\(C(10, 4) * 3^6\)
To get the total number of strings that satisfy any of the three cases, we sum up the results of the three cases:
Total number of strings\(= (C(10, 4) * 3^6) + (C(10, 4) * 3^6) + (C(10, 4) * 3^6)\)
\(= 3 * C(10, 4) * 3^6\)
Using the formula for combinations (C(n, r) = n! / (r! * (n - r)!)), we can calculate:
Total number of strings \(= 3 * (10! / (4! * 6!)) * 3^6\)
\(= 3 * (10 * 9 * 8 * 7) / (4 * 3 * 2 * 1) * 3^6\)
\(= 3 * 210 * 3^6\)
= 567,540
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Find x, y, and z in the figure.
Answers
Answer:
Since x + y + z = 180° and z = 90°, y + z = 90°
Thus x + y = z
Step-by-step explanation:
A Girl Guide measured the angle of elevation to the top of a monument to be 59°. The height of the monument is 38.5 m. She
then walked 31.0 m farther away from the tower. Determine the angle of elevation to the top of the monument from her new
location, to the nearest tenth of a degree.
Answers
The angle of elevation is 35.4.
What is angle of elevation?The angle formed by the line of sight and the horizontal plane for an object above the horizontal.
tan D = AB/BD
tan D = 38.5/54.13
D = 35.4
Hence, the angle of elevation is 35.4.
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-3x + 7 > - 17 please someone answer
Answers
Answer:
x<8
Step-by-step explanation:
Answer:
x<8
Step-by-step explanation:
−3x+7>−17
Step 1: Subtract 7 from both sides.
−3x+7−7>−17−7
−3x>−24
Step 2: Divide both sides by -3.
−3x
−3
>
−24
−3
x<8
Write the equation for the line through the given point with the given slope.
(4, 0); m = 0
Answers
Answer: y = 0
Step-by-step explanation:
xm = pn, Solve for x.
Answers
Answer:
xm = pn
x=pn/m
the value of x is pn/m
8. John is welding a truss for a bridge. He determines the angles made by the sections he
welds together, so that the truss will be uniform. The top of the truss must be parallel to
the bottom of the truss. If an angled support makes a 125' angle with the top, what must
the measure of the interior angle on the same side of the transversal with the bottom
equal? (10.9 Mastery)
Answers
Answer:ohn is welding a truss for a bridge. He determines the angles made by the sections he
welds together, so that the truss will be uniform. The top of the truss must be parallel to
the bottom of the truss. If an angled support makes a 125' angle with the top, what must
the measure of the interior angle on the same side of the transversal with the
Step-by-step
Step-by-step explanation:
the rules of the angles of 2 lines intersecting each other.
that means the angles on one side of the first line sind the intersection point, are the same as on the other side of the line - just left-right interchanged.
and to have a third line, parallel to the first line, where the exact same angles have to be, where the second line intersects the third line (a parallel line is like a mirror image of the first line : every look and feel has to be the same).
and then remember : all angles around a single point in one side of a line must be together 180°.
so, if the support beam has an angle of 125° with the top "line", the second angle there (the exterior Angie at that point) is then 180 - 125 = 55°.
this is all at the bottom side of the top "line".
these angles are therefore left-right exchanged the same on the top side of the top "line". so, 55° and 125° instead of 125° and 55°.
these angles at the top of the top "line" must be now exactly the same at the top of the parallel bottom "line" of the truss.
so, the interior angle there is 55°. and the exterior angle is 125°.
local bank is using Winters' method with α = 0.2,
β = 0.1, and γ = 0.5 to forecast the number of
customers served each day. The bank is open Monday through Friday.
At the end of the previous week,
Answers
The exact forecasted number of customers to be served on each of the next five business days, rounded to one decimal place, are as follows:
Tuesday: 389.1
Wednesday: 368.7
Thursday: 326.5
Friday: 510.9
To forecast the number of customers served on each of the next five business days using Winters' method, we need to follow these steps:
Calculate the seasonal factor for each day by multiplying the seasonal index by the level.
Monday: 1.10 × 20 = 22
Tuesday: 0.95 × 20 = 19
Wednesday: 0.90 × 20 = 18
Thursday: 0.80 × 20 = 16
Friday: 1.25 × 20 = 25
Update the level and trend using the following formulas:
New Level = α × (Actual Value / Seasonal Factor) + (1 - α) × (Previous Level + Previous Trend)
New Trend = β × (New Level - Previous Level) + (1 - β) * Previous Trend
For Tuesday:
New Level = 0.2 × (30 / 22) + 0.8 × (20 + 1) = 20.3636
New Trend = 0.1 × (20.3636 - 20) + 0.9 × 1 = 0.0364
Forecast the number of customers served on each subsequent day using the formula:
Forecast = (New Level + Forecasted Trend) × Seasonal Factor
Tuesday Forecast = (20.3636 + 0.0364) × 19 = 389.0909
Wednesday Forecast = (20.3636 + 0.0364) × 18 = 368.7273
Thursday Forecast = (20.3636 + 0.0364) × 16 = 326.5455
Friday Forecast = (20.3636 + 0.0364) × 25 = 510.9091
Therefore, the forecasted number of customers to be served on each of the next five business days, rounded to one decimal place, are as follows:
Tuesday: 389.1
Wednesday: 368.7
Thursday: 326.5
Friday: 510.9
The question should be: A local bank is using Winters' method with α = 0.2, β= 0.1, and γ = 0.5 to forecast the number of customers served each day. The bank is open Monday through Friday. At the end of the previous week, the following seasonal indexes have been estimated: Monday, 1.10; Tuesday, 0.95; Wednesday, 0.90; Thursday, 0.80; Friday, 1.25. Also, the current estimates of level and trend are 20 and 1. After observing that 30 customers are served by the bank on this Monday, forecast the number of customers who will be served on each of the next five business days. Round your answers to one decimal place, if necessary.
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What is the area of the figure?
Answers
What number is halfway between -0.5 and 2.3
Answers
Answer:
0.9
Step-by-step explanation:
In order to get halfway between -0.5 and 2.3, first, we need to take their sum:
Sum of digits
Sum = \({-0.5+2.3}\)
Sum = \(1.8\)
Take the average of the sum
Average = \(\frac{1.8}{2} = 0.9\)
Hence the halfway between the numbers is 0.9
A student sets up the following equation to convert a measurement. (The ? stands for a number the student is going to calculate.) Fill in the missing part of this equation. (−7.0×104 s2g⋅m2)⋅ΠΠ=? s2kg⋅m2
Answers
The missing part of the equation is \(-7.0\times10^4 s^2kg⋅m^2 / 1000000.\)
What is the value of the missing part in the equation?To fill in the missing part of the equation, let's analyze the given information and the desired conversion. The equation is:
\((-7.0\times 10^4 s^2g⋅m^2)\cdot \pi = ? s^2kg\cdot m^2\)
In this equation, we have a quantity expressed in\(s^2g\cdot m^2\) units on the left-hand side. To convert it to \(s^2kg\cdot m^2\) units, we need to multiply it by a conversion factor.
To perform the conversion, we can use the fact that 1 kg is equal to 1000 g. Therefore, the conversion factor we need is:
1 kg / 1000 g
To ensure that the units cancel out correctly, we need to square this conversion factor because we have \(s^2g\cdot m^2\) on the left-hand side. So the missing part of the equation is:
\((-7.0\times 10^4 s^2g\cdot m^2)\cdot \pi = (-7.0\times 10^4 s^2g\cdot m^2)\cdot (1 kg / 1000 g)^2\)
Simplifying this expression, we get:
\((-7.0\times10^4 s^2g\cdot m^2)\cdot \pi = -7.0 \times10^4 s^2kg\cdot m^2 / 1000000\)
Therefore, the missing part of the equation is \(-7.0 \times 10^4 s^2kg\cdot m^2 / 1000000.\)
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please solve! It's not A.
