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help meeeeeeeeeeeeeeeeeee pleaseeee rn rnnnnnnnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
The function f(x) = [tex]-3x^2[/tex] + 18x + 3 has the maximum value of 30 at x = 3
The quadratic function is
f(x) = [tex]-3x^2[/tex] + 18x + 3
The general form of the quadratic function is
y = [tex]ax^2[/tex] + bx + c
If a < 0, the quadratic function has maximum value
Here the value of a = -3
Therefore the function has maximum value.
Maximum value will be at x = -b / 2a
= -18 / 2(-3)
= -18 / -6
= 3
The maximum value of quadratic function will be (4ac - [tex]b^2[/tex]) /4a
Substitute the value in the equation
(4ac - [tex]b^2[/tex]) /4a = (4×-3×3 - 18×18) / 4×-3
= (-36 - 324 / -12
= -360 / -12
= 30
Hence, the function f(x) = [tex]-3x^2[/tex] + 18x + 3 has the maximum value of 30 at x = 3
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Related Questions
help meeeeeeeeeeeeeeeeee please
Answers
Answer: 81
Step-by-step explanation:
[tex]v=\sqrt{2gh}\\\\g=32, v=72\\\\\implies 72=\sqrt{2(32)h}\\\\5184=64h\\\\h=81[/tex]
The table shows the linear relationship between the number of pages left to read in a novel and the number of hours a student has already spent reading the novel. Mark each statement as true or false. If false, rewrite the statement correctly.
The student reads at a rate of 48 pages per hour.
Answers
By using the rate of change formula for linear equations, we will see that the statement is true.
Is the statement true or false?
Here we have the following statement:
"The student reads at a rate of 48 pages per hour."
Which relates to the linear equation represented on the table.
A general linear equation is written as:
y = a*x + b
Where a is the rate and b is the y-intercept.
If the line passes through two points (x1, y1) and (x2, y2), then the rate is:
rate = (y2 - y1)/(x2 - x1)
Using the first two points (1,644) and (4, 500) we can get the rate:
R = (500 - 644)/(4 - 1) = -48
So the number of pages remaining decreases by 48 each hour of reading, then yes, the student reads at a rate of 48 pages per hour.
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What are the correct set of factors for the given equation?
1. 4x² - 11x - 3=0 18
A (2x + 1)(2x − 3)
B (4x + 1)(x − 3)
C (4x − 3)(x + 1)
Answers
HELP
At a Junk Yard a study was conducted using 48 cars and found that the average mileage on a car before it was junked was 164,000 and the population standard deviation is known to be approximately 28,000. Construct a 99% confidence interval of what the actual average mileage is for a car before it is junked.
Answers
A 99% confidence interval of what the actual average mileage is for a car before it is junked is; (153589, 174411)
How to find the confidence Interval?The formula for confidence interval is;
CI = x' ± z(s/√n)
where;
x' is sample mean
s is standard deviation
n is sample size
z is critical value at confidence level
We are given;
x' = 164000
n = 48
s = 28000
CL = 99%
z-score at confidence level of 99% is 2.576
Thus;
CI = 164000 ± 2.576(28000/√48)
CI = 164000 ± 10410.78
CI = (164000 - 10410.78), (164000 + 10410.78)
CI = (153589, 174411)
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Joanna saves $55 each month from her part-time job. She saves 1/5 of her earnings. Write and solve an equation determine Joanna’s earnings
Answers
If 1/5 of Joanna's monthly savings is $55 the equation of her savings is
x/5 = 55The solution to the equation is $275
How to determine the equation of Joanna's savingsinformation from the question include
Joanna saves $55 each month from her part-time job
She saves 1/5 of her earnings
let x represent the Joanna's earnings
The equation of Joanna savings is represented in the form
1/5 of x = 55
This equation deals with multiplication and the term 'of' as used in math represents multiplication
Hence 1/5 of x = 1 / 5 * x = x/5
x/5 = 55
multiplying both sides by 5
x = 275
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a pollster decides to poll every 10th person that comes out of a store. this alternative to random sampling is called
Answers
The alternative to random sampling is called as systematic sampling which is accepted by a pollster to poll every 10th person that comes out of a store.
Systematic sampling is a probability sampling technique where researchers choose individuals from the population at predetermined intervals (or k).
This method will provide you with a representative sample that can be used to make generalizations about the population if the order of the population is random or random-appearing (for example, alphabetical).
Simple random sampling has numerous advantages over systematic sampling in terms of randomization, but systematic sampling is a little bit simpler to carry out.
Similar to basic random sampling, systematic sampling can be used with a list of the complete population. Contrary to basic random sampling, one can still utilize this technique if you don't have access to a list of the population beforehand.
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in a order pair (4,9) witch is the y-coordinate?
Answers
In order pair (4,9), 9 is the y- coordinate while 4 is the x-coordinate.
The coordinates are the pair of numbers that describe the position of some point in a plane using the horizontal x-axis and the vertical y-axis as the point of reference. The representation of this coordinate is usually done by (x,y) where x represents the point's reference with respect to the x-axis and y represents the point's reference with respect to the y-axis. There are four quadrants in the graph which are named quadrant 1, quadrant 2, quadrant 3, and quadrant 4. In quadrant 1 both the x and y-axis is positive, in quadrant 2 x-axis is negative and the y-axis is positive, in quadrant 3 both the x and y-axis are negative, and in quadrant 4 x-axis is positive while the y-axis is negative.
I hope this answer helps
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Answer:
9
Step-by-step explanation:
Remember that all points have the form, [tex](x,y)[/tex].
Soo in this problem,
[tex]\begin{cases}\text{4 is the x-coordinate}\\\text{9 is the y coordinate}\end{cases}[/tex]
Thus, The y-coordinate is 9!!
In a garden club, 90% i ladie. The number of ladie i 12 more than 3 time the number of gentlemen. How many ladie and how many gentlemen are in the club. (Note et up a a rational equation and olve)
Answers
In the garden club there are 18 ladies and 2 gentlemen.
Given, In a garden club, 90% is ladies.
The number of ladies is 12 more than 3 times the number of gentlemen.
Let the total members be, x
the number of ladies be, l and the number of gentlemen be, g
according to the question,
l = 90x/100
l = 9x/10
also, l = 12 + 3g
g = (l - 12)/3
as, l + g = x
9x/10 + (9x/10 - 12)/3 = x
9x/10 + 9x/30 - 4 = x
36x/30 - 4 = x
6x/30 = 4
x = 20
so, ladies be, l = 9x/10 = 18
and gentlemen be, g = 20 - 18 = 2
Hence, in the garden club there are 18 ladies and 2 gentlemen.
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how do i solve 1) −10+ r = 3+r-7
Answers
Answer: No Solution
Explanation: 10 + r = 3 + r - 7
Combine like terms: 10 + r = -4 + r
Subtract R to both sides: 10 = 4
There is NO SOLUTION
2.
11. If N =
m
x + q
m = 9 and x = 2.
find the value of q when N = 1 4/5
Answers
41/5
Step-by-step explanation:
14/5=9+2+q
14/5=11+q
14=55+5q
14-55=5q
-41=5q
q=-41/5
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help meeeeeeeeeeeeeeeeeee pleaseeee rn rnnnnnnnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
The the coordinates of the vertex is at (-2, 1) and the axis of symmetry at x = -3
The quadratic function is given by
f(x) = [tex]-3(x+2)^2[/tex] + 1
The vertex form of the quadratic function is
f(x) = [tex]a(x-h)^2[/tex] + k
Where (h, k) is the coordinates of the vertex
x = h is the axis of symmetry
Compare the given function and the vertex form of the quadratic function and find the value of the each term
The value of h = -2
The value of k = 1
The coordinates of the vertex = (-2, 1)
The axis of symmetry is at x = h
h = -2
Draw the graph using the details
Hence, the the coordinates of the vertex is at (-2, 1) and the axis of symmetry at x = -3
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Lauren's car used 11 gallons to travel 352 miles. How far can she travel on 3 gallons?
Answers
32*3 = 96 miles on 3 gallons
The distance traveled with 3 gallons is 96 miles.
What is a unit rate?It is the quantity of an amount of something at a rate of one of another quantity.
In 2 hours, a man can walk for 6 miles
In 1 hour, a man will walk for 3 miles.
We have,
The distance traveled with 11 gallons = 352 miles
This means,
1 gallon = 352/11 miles
1 gallon = 32 miles
Now,
1 gallon = 32 miles
Multiply 3 on both sides.
3 gallons = 3 x 32 miles
3 gallons = 96 miles
Thus,
The distance traveled with 3 gallons is 96 miles.
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A furniture company is ordering screws. The company uses 37 screws to make each table and 16 screws to make each chair. The company needs to order screws for 12 tables and 48 chairs.
Which answer is the most reasonable estimate of the total number of screws they need to order?
Answers
the company uses 37 screws to make each table and 14 screws to make each chair. The company needs to order screws for 12 tables and 48
On the southeast corner of Millennium Park, there is a garden walk. It is marked off in red in the drawing below. Side C, the hypotenuse of the triangle, shows the row along which flowers will be planted.
a) If side a measures 90 feet and side b measures 120 feet, how many feet of flowers will be planted along side c, the hypotenuse of the triangle? Show your work and explain your reasoning.
b) Calculate the area of the red triangle to find the area of the garden. Show your work.
c) Millennium Park has an outdoor concert theater. Before a concert, the area reserved for special seating is roped off in the shape of a triangle as shown below. How can the converse of the Pythagorean theorem help you determine whether the roped off area is in the shape of a right triangle?
Answers
a. Using the Pythagorean Theorem, side c = 150 feet
b. Area = 5,400 ft²
c. Applying the converse of the Pythagorean Theorem, the triangle would be a right triangle if the sum of the squares of two sides equals the square of the other side.
What is the Converse of the Pythagorean Theorem?The converse of the Pythagorean theorem states that if the sum of the squares of the two smaller sides of a triangle is equal to the square of the longer side, then the triangle is a right triangle.
a. Apply the Pythagorean theorem:
c = √(a² + b²)
c = ?
a = 90 feet
b = 120 feet
Substitute
c = √(90² + 120²)
c = 150 feet
b. Area = 1/2(a)(b) = 1/2(90)(120)
Area = 1/2(10,800)
Area = 5,400 ft²
c. Using the converse of the Pythagorean Theorem, we can check if the sum of the squares of two sides equals the square of the other side.
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Lines AB and CD (if shown) are straight lines. Find x .
Answers
Answer:
x = 20
Step-by-step explanation:
We know that a straight line is 180 degrees. We also know that the line A and B is a supplementary angle.
We subtract 180 - 110 which will come out to 70 which is the value of angle B
We know that angles D and E are 90 degrees and since D and C is 180 degrees, that means C and E is equal to 90 degrees as well.
Since B is equal to 70 degrees, we subtract 90 - 70 to get 20 degrees which is the value of x
(-3,-5), perpendicular to x +2y=-4
Answers
The equation of the line perpendicular to y = - (1 / 2) · x - 2 and that passes through the point (x, y) = (- 3, - 5) is y = 2 · x + 1.
How to determine an equation of the lineIn this problem we must determine the equation of a line perpendicular to another line, provided that the equation of a line and a point of intersection are given. According to analytical geometry, two lines are perpendicular if and only if the product of the two slopes equals - 1.
The equations of the line are defined by functions of the form:
y = m · x + b
Where:
m - Slopeb - Interceptx - Independent variable.y - Dependent variable.And the slope relationship between two perpendicular line:
m · m' = - 1
Where:
m - Slope of the original line.m' - Slope of the perpendicular line.First, derive the equation of the line in slope-intercept form:
x + 2 · y = - 4
2 · y = - x - 4
y = - (1 / 2) · x - 2
Second, calculate the slope of the perpendicular line by the slope relationship:
m' = - 1 / (- 1 / 2)
m' = 2
Third, find the y-intercept of the perpendicular line by the equation of line, the slope and the coordinates of the given point:
b = y - m · x
b = - 5 - 2 · (- 3)
b = - 5 + 6
b = 1
Then, obtain the equation of the line in slope-intercept form:
y = 2 · x + 1
The equation of the line is y = 2 · x + 1.
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Mrs. Magdalino kept records on how much she spent on gasoline and the maintenance of her car. She found that it cost $485 to drive 500 mi in a month Find the cost per mileWrite an equation that relates the cost for gasoline and maintenance of a car to the number of miles m the car is driven. Use the equation to find the cost for driving 1200 miles. About how many miles are driven for a cost of $820?
Answers
Answer:
C = 0.97m$1164 for 1200 miles845 miles for $820Step-by-step explanation:
Given a car's cost of operation is $485 for 500 miles, you want an equation relating cost for m miles, and solutions to that equation for 1200 miles, and for a cost of $820.
Cost per mileThe cost per mile is found by dividing the cost by the associated number of miles:
$485/(500 mi) = $0.97 /mi
EquationThe equation for the cost will show the cost as the cost per mile multiplied by the number of miles:
C = 0.97m . . . . . where C is cost in dollars for m miles driven
1200 milesThe cost for driving $1200 miles will be ...
C = 0.97(1200) = $1164
The cost of driving 1200 miles is $1164.
$820The number of miles that can be driven for a cost of $820 is ...
820 = 0.97m
m = 820/0.97 = 845.36
About 845 miles are driven for a cost of $820.
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help meeeeeeeeeeee pleaseeeeeeeeeee rn rnnnnnnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
The function has a maximum value of 30 at x = 3.
Given Function:
f(x) = -3+18x+3
here a = -3 , b = 18 , c = 3
a is negative so it has maximum value
x = -b/2a
= -18/2*(-3)
= -18/-6
= 18/6
= 3
f(x) = -3* + 18*3 + 3
= -3*9+54+3
= -27+54+3
= 27+3
= 30
Therefore the function has a maximum value of 30 at x = 3.
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help wanted .............................................................
Answers
Answer:
I'm pretty sure the answer would be >
Answer: |-8|>-2
Step-by-step explanation:
Because of the lines on both sides of the "-8" you don't pay attention to the "-" sign. That is because this is an absolute value sign. So instead you would read that as 8 ? -2 and which of course 8 is clearly greater
Hope this helps ;)
What’s the answer plss someone help
Answers
The value of x in the given figure is x = 22.56 m .
In the question ,
a figure is given where the measure of angle(C) = 70° and angle(A) = 30°
In the triangle ABC ,
By Angle Sum Property Of Triangle
angleA + angleB + angleC = 180°
30° + angleB + 70° = 180°
angleB = 180° - 100°
angle(B) = 80°
By using Sine Law ,
a/Sin(A) = x/Sin(C)
From the figure ,
a = 12 m
we get ,
12/Sin(30°) = x/Sin(70°)
x = (Sin70° × 12)/Sin(30°)
x = 11.2763/0.5
x = 22.5526
x ≈ 22.56 m
Therefore , The value of x in the given figure is x = 22.56 m .
The given question is incomplete , the complete question is
Find the value of x in the given figure ?
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a parameter represents: an unbiased estimator of the population mean. fixed characteristics of a population. certain characteristics of a random sample. fixed characteristics of a nonprobability sample. the geographical boundary of a population.
Answers
Parameter are values that represents fixed characteristics of a population.
What is a parameter?
The parameter is an important component in statistical analysis because it describes fixed characteristics of the given population. The way to conclude the population characteristics is to perform statistical analysis on a sample of the population then calculate it with the parameter formula. The most commonly used parameters are mean, median, and mode. Data distribution of a ratio can be described by mean. The Median is used to calculate the variables of data distribution which has a few data points that are different. Mode is used to know which number appears the most in a data distribution.
Based on statistical calculations from the existing population sample, conclusions can be drawn regarding the fixed characteristics of the entire population using parameters.
Hence, a parameter represents fixed characteristics of a population.
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The measure of an angle is 161.4°. What is the measure of its supplementary angle?
Answers
Answer:
The measure of its supplementary angle is 18.6 degrees
Step-by-step explanation:
A Supplementary angle is any two angles that sum up to 180 degrees
With this in mind we can subtract 180 - 161.4 to get the measure of the other angle.
Since 161.4 + 18.6 = 180 this is correct
Answer: The supplementary angle to 161.4 degrees is 18.6 degrees.
Step-by-step explanation: the sum of two supplementary angles is always 180 degrees.
180-161.4 is equal to 18.6 degrees.
When nineteen is subtracted
from three time a
number "X", the result is 110. Translate and find
the number.
Answers
Answer: x=43
Step-by-step explanation:
3x-19=110
3x-19+19=110+19
3x=129
3x/3=129/3
x=43
XY
Y
a. (1, 1) and (7,5)
Answers
The slope of the line that passes through (1, 1) and (7, 5) is 2/3
How to calculate the slope of the line?From the question, the points are given as
a. (1, 1) and (7,5)
Rewrite the above points properly
So, we have the following ordered pairs
(1, 1) and (7,5)
The slope of the line is then calculated using the following slope equation
Slope = (y₂ - y₁)/(x₂ - x₁)
Where
(x, y) = (1, 1) and (7,5)
Substitute the known values in the above equation
So, we have the following equation
Slope = (5 - 1)/(7 - 1)
Evaluate
Slope = 2/3
Hence, the slope of the line is 2/3
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Possible question
Find the slope of the line that passes through a. (1, 1) and (7,5)
what are the multiples of 7 between 40 and 90
Answers
Answer:
Multiples of 7: 7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84, 91, 98, 105, 112, 119, 126, 133, 140 Multiples of 8: 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96, 104, 112, 120, 128, 136, 144, 152, 160
Step-by-step explanation:
What is the effect on the graph of y = 2x + 2
when it is changed to y = 2x-2?
Answers
Answer:
shifted down 4 units
Step-by-step explanation:
You want to know the effect on the graph of changing y=2x+2 to y=2x-2.
Y-interceptThe constant in the equation y=2x+2 is the y-intercept. The line described by this equation crosses the y-axis at y=2.
When the equation is changed to y=2x-2, the y-intercept changes from +2 to -2, a shift down of 4 units. The shifted line has the same slope as the original, so is parallel to it.
The effect on the graph is to move it down 4 units.
Determine if the given sequence is an arithmetic sequence. If it is, find the common difference, d.
1 2 3 4
f(n) 8 12 16 20
Is this an arithmetic sequence?
O No
OYes
The common difference is
Answers
Answer:
I believe the answer is Yes because there is a constant arithmetic sequence and I believe the common difference is 4.
Noble-gas notation: [ar]3s1 [he]2s22p63s1 [ne]3s23p4 [ne]3s1
Answers
In longhand notation, the electron configuration is
1s² 2s² 2p6 3s¹
Noble gas configuration
[ Ne ] 3s¹
Complete question:
Choose the electron configuration for sodium (Na) in both longhand notation and noble-gas notation.
What is electron configuration?
The arrangement of electrons in atomic or molecular orbitals of an atom, molecule, or other physical structure is referred to as the electron configuration in atomic physics and quantum chemistry.
In longhand notation, the electron configuration is
1s² 2s² 2p^6 3s¹
Noble gas configuration
[ Ne ] 3s¹
Here, the configuration 1s² 2s² 2p^6 is replaced by [ Ne ].
[ Ne ] represents the electron configuration of [ Ne ].
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Answer:
D) [Ne]3s1
☆
EDGE2023; Good Luck :D!!!
Solve the inequality statement:
2v+1> 7
v > 3
v > 4
v < 3
v < 4
Answers
Answer:
v>3
Step-by-step explanation:
2v>7-1
2v>6
v>6/2
v>3
A share of Southside stock sold for $37. The annual dividend is $1.85. Three years later the stock has increased 17% in value and the dividend has increased 5%.
What is the yield 3 years later? Round to the nearest tenth of a percent.
Answers
The price of the share 3 years later, given the increase in value, can be found to be $43.29
How to find the price per share?The value of the Southside stock sold was $ 37 at the current age. Three years later, this value had increased by 17 %.
This means that the price of the share 3 years later would be:
= Share price currently x ( 1 + increase in value)
= 37 x ( 1 + 17 % )
= 37 x 1. 17
= $ 43. 29
The price is $43.29
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