help meeeeeeeeeeee pleaseeeeeeeeeee rn rnnnnnnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
help meeeeeeeeeeee pleaseeeeeeeeeee rn rnnnnnnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
The curve -3[tex]x^{2}[/tex] + 18x +3 has a maximum value of 30 at x = 3
What is a maximum point?In mathematics, a point at which a function’s value is greatest. If the value is greater than or equal to all other function values, it is an absolute maximum. if it is merely greater than any nearby point, it is a relative, or local, maximum. In calculus, the derivative equals zero or does not exist at a function’s maximum point.
Differentiate f(x) = -3[tex]x^{2}[/tex] + 18x +3 ,
we have dy/dx = -6x + 18.
at turning point, dy/dx = 0
-6x + 18 = 0
6x = 18
x =18/3
x = 3
to check if x = 3 is a minimum or maximum point, we take the second derivate
which is [tex]\frac{d^{2}y }{dx^{2} }[/tex] = -6
since [tex]\frac{d^{2}y }{dx^{2} }[/tex] < 0
F(x) is a maximum,
so maximum value of x, we substitute x = 3 into the function
f(x) = -3[tex](3)^{2}[/tex] + 18(3) + 3
f(x) = 30
In conclusion, the maximum value for the function is 30 at x = 3
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Related Questions
estion 11 of 42
What is the equation of a line with a slope of 6 and a y-intercept of -2
O A. y = -2x + 6
OB. y = 6x + 2
OC. y = 6x-2
OD. y = 2x+6
Answers
GHLJ and GSTU are both parallelograms. Why is
∠L ≅ ∠T?
Parallelogram G S T U is inside of larger parallelogram G H L J. Side G S in on side G H, and side G U is on side G J.
Answers
The angle L is congruent to angle T ∠L ≅ ∠T and the reason is that opposite angles of a parallelogram are congruent.
How to identify congruent angles?We are given the parallelograms GHLJ and GSTU in such a manner that the parallelogram GSTU is inscribed right inside parallelogram GHLJ with angle G coinciding on the two parallelograms.
Now, we can remember that property of parallelogram states that the opposite angles of a parallelogram are congruent.
Thus, angle G is congruent to angle T and angle L .
Therefore, ∠L ≅ ∠T
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Answer:
By the parallelogram angle theorem, opposite angles of a parallelogram are congruent. Therefore, angle T must be congruent to angle G, and angle G must be congruent to angle L. By the transitive property of congruence, angle T is congruent to angle L.
Step-by-step explanation:
got it right on edge2
x represents the number
of comic books Priya buys
at the store, all at the same
price, and y represents the
amount of money (in
dollars) Priya has after
buying the comic books.
Answers
By using the concept of equation of line in slope intercept form, it can be obtained that
a) x- intercept is 5
This means, Priya has exhausted all her money by buying 5 comics
y- intercept is 20
This means, Priya had $20 before buying any comics
b) Slope = -4
This means Priya's money has been decreasing by $4 after buying one comics
c) Equation of line
y = -4x + 20
What is equation of line in slope intercept form?
The most general form of equation of line in slope intercept form is given by y = mx + c
Where m is the slope of the line and c is the y intercept of the line.
Slope of a line is the tangent of the angle that the line makes with the positive direction of x axis.
If [tex]\theta[/tex] is the angle that the line makes with the positive direction of x axis, then slope (m) is given by
m = [tex]tan \theta[/tex]
The distance from the origin to the point where the line cuts the x axis is the x intercept of the line.
The distance from the origin to the point where the line cuts the y axis is the y intercept of the line.
x represents the number of comic books Priya buys at the store
y represents the amount of money (in dollars) Priya has after buying the comic books.
a)From the figure, it is clear that x- intercept is 5
This means, Priya has exhausted all her money by buying 5 comics
From the figure, it is clear that y- intercept is 20
This means, Priya had $20 before buying any comics
b) The line passes through (5, 0) and (0, 20)
Slope = [tex]\frac{20 - 0}{0 -5}[/tex] = -4
This means Priya's money has been decreasing by $4 after buying
one comics
c) Equation of line
y - 0 = -4(x - 5)
y = -4x + 20
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Complete Question
The figure has been attached-
y
y< 2x-3
How would I graph this ?
Answers
The graph of the inequality is attached below.
We are given an inequality. The inequality is linear in nature. An inequality in mathematics is a relationship that makes a non-equal comparison between two integers or other mathematical expressions. The inequality is given below.
y < 2x - 3
We need to graph the inequality. The first step is to find out the corresponding equation of the straight line. The equation is found by replacing the greater-than or less-than sign with the equal-to sign. The equation is given below.
y = 2x - 3
We plot this equation on the graph with a dotted line. Now we shade the area that satisfies the given inequality. The graph is given below.
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Helpppppppssssss ejejnee
Answers
Answer:
Step-by-step explanation:
Arithmetic Sequence
Answer:
(a) Arithmetic Sequence
Step-by-step explanation:
You want to know if the graph of a straight line represent an arithmetic, geometric, or neither sequence.
Arithmetic sequenceAn arithmetic sequence is characterized by a common difference between terms that are 1 unit apart. A graph of an arithmetic sequence is points that lie on a straight line.
The graph shows an Arithmetic Sequence.
__
Additional comment
A graph of a geometric sequence would show points that lie on an exponential curve.
If the average daily sales in a store for the past 5 days was (2.3q + 1.4) dollars, express the total sales amount for the past 5 days as an algebraic expression.
Answers
The algebraic expression is C(5) =2.5 * 5 + 1.4 and the total cost is $13.9
How to determine the total sales amount?From the question, the equation of the total sales amount is given as
Equation = 2.3q + 1.4
Where q represents the number of days
Rewrite as
Cost = 2.3q + 1.4
Express the equation as a cost function
So, we have the following representations
C(q) = 2.3q + 1.4
When the number of days is 5, we have
q = 5
Substitute the known values in the above equation So, we have the following equation
C(5) =2.5 * 5 + 1.4
Evaluate the products
C(5) = 12.5+ 1.4
Evaluate the sum
C(5) = 13.9
Hence, the total cost for the 5 days is $13.9
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Help needed!!!
a) Convert the length and width of the swimming pool from centimetres to metres.
b) You’re thinking of laying bricks around the outside of the pool. Find the perimeter of the swimming pool, in metres.
c) You want to buy a pool cover. By rounding off your answers in a) to the nearest metre, estimate the area of the pool by multiplying the 2 numbers together.
d) Find the exact area of your new pool, in m2.
e) Was your estimate in d) reasonable?
f) Please explain why it was accurate or not
Answers
Answer:
Step-by-step explanation:
a) 100cm 1m so, 320/100=3.2m, 1200/100=12m
b) 3.2+3.2+12+12= 6.4+24=30.4
c) 3*12=36m squared
d) 3.2*12= 3*12+0.2*12=36+2.4=38.4m squared
e) My estimate in d) was reasonable
f) This is because 36 and 38.4 are really close to each other they only have a difference of 2.4 and that is because instead of multiplying the estimate with 3 and a 0.2 I just multiplied it with a 3. 0.2*12=2.4 so the difference is reasonable.
lee went shopping with $60.50 . he bought 5 boxes of blue berries and 3 watermelons and had $16.50 left each watermelon cost $8.30
Answers
Assuming the question is : "how much does 1 box of blueberries cost?"
After he bought 5 boxes of blueberries and 3 watermelons, he was left with $16.50
Therefore, 5 boxes of blueberries and 3 watermelons cost $60.50 - $16.50 = $44
We are given the cost of 1 watermelon is $8.30
Therefore, 3 watermelons cost $8.30 x 3 = $24.90.
-> 5 boxes of blueberries cost $44 - $24.90 = $19.10
-> 1 box of blueberries cost $19.10 : 5 = $3.82
Answer:
If your trying to find the total of the 5 boxes of blue berries the answer is
$19.10
Step-by-step explanation:
60.50 - 16.50 = 44$ meaning he spent that much.
8.30 x 3 = 24.9
19.10 + 24.9 = 44
hope this helps
from a group of 12 students, we want to select a random sample of 5 students to serve on a university committee. how many combinations of random samples of 5 students can be selected?
Answers
The number of combinations of random samples of 5 students can be 792.
Given, 12 groups of students
We have to select random samples of 5 students,
Here we will use the combination formula,
Cₙ,ₓ = n! / x! (n - x)!
Here n=12 and x=5
Cₙ,ₓ = 12! / 5! (7!)
Cₙ,ₓ = 479,001,600 / (120) × (5040)
Cₙ,ₓ = 792
Therefore the possible ways of selecting the random samples of 5 students are 792.
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which equations are true when k = - 50? Select two correct answers.
1.5 - k/5 = 11.5
-2k + 78 = -22
-4k + 80 = -120
6k - 150 = -150
K/10 -3 = -8
30 POINTS IF YOU ANSWER!!
Answers
There are two equations which are true. They are 1.5 - k/5 = 11.5 and K/10 -3 = -8.
Given,
The equations;
1.5 - k/5 = 11.5-2k + 78 = -22-4k + 80 = -1206k - 150 = -150K/10 -3 = -8The value of k = -50
We have to solve the given equations using k as -50 and find the true ones;
Lets check;
1.5 - k/5 = 11.51.5 - (-50/5) = 11.5
1.5 - (-10) = 11.5
1.5 + 10 = 11.5
11.5 = 11.5
This equation is true.
-2k + 78 = -22(-2 x -50) + 78 = -22
100 + 78 = -22
178 ≠ -22
This equation is false
-4k + 80 = -120(-4 x -50) + 80 = -120
200 + 80 = -120
280 ≠ -120
This equation is false
6k - 150 = -150(6 x -50) - 150 = -150
-300 - 150 = -150
-450 ≠ -150
This equation is false
k/10 -3 = -8(-50/10) - 3 = -8
-5 - 3 = -8
-8 = -8
This equation is true.
That is,
There are two equations which are true. They are 1.5 - k/5 = 11.5 and K/10 -3 = -8.
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find the unit rate of $36 : 1/2 hour
Answers
Answer:
$72 / hr
Step-by-step explanation:
$36 / (1/2 hr ) = $72 per hour
Hawa buys 15 bottles of apple juice at the corner store for a total cost of $12.15. If
each bottle costs the same amount, how much is 8 bottles of juice?
Answers
As per the unitary method, the cost of 8 bottles is $6.48
Unitary Method:
Unitary method is the way of solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Given,
Hawa buys 15 bottles of apple juice at the corner store for a total cost of $12.15.
Here we need to find the if each bottle costs the same amount, how much is 8 bottles of juice.
Let x be the cost of one bottle.
so, based on the unitary method we can written the situation as,
15 bottles = costs $12.15
Therefore, the cost of one bottle is.
x = 12.15/15
x = 0.81
So, the cost of 8 bottle is calculated by multiplying the cost of one bottle with 8,
Then we get,
=> 8 x 0.81
=> 6.48
Therefore, the cost of 8 bottles is $6.48
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Given a point (5,-6) and slope m = -2
Write the Point-Slope Equation of the line.
Please give me a great explanation and explain like your talking to a baby please. Thanks :)
Answers
Answer:
y+6 =-2(x-5)
Step-by-step explanation:
The question is asking for the equation of the line
The equation for point-slope form is always written as y-y₁=m(x-x₁)
y₁ and x₁ are the points given to you in this order (x₁, y₁)
so x₁=5 and y₁=-6
Now you plug in all the numbers you have into the point slope form
y- (-6)= -2(x-5)
When you subtract a negative (a double negative you get a positive)
y+6=-2(x-5)
Point-Slope form is usually the easiest form of a line to write since you do not need to solve for any intercepts or other points. You have y on one side of the equation, usually the left to make it easier to read, and x on the other, usually the right.You subtract the point that you are given from the y and the x. Multiply everything that is on the same side of the equation of the x by the slope (m).
Notes:
For y₁ and x₁, they could be any point on the line. For example, (1,2) is also on this line. So the equation would be
y-2=-2(x-1)
ERROR ANALYSIS Describe and correct the error in identifying congruent triangles. TUV=XYZ by the SSS Congruence Theorem.
Answers
The letters for XYZ are in the wrong order.
The correct statement should be [tex]\triangle TUV \cong \triangle ZYX[/tex]
============================================
Further Explanation:
The order of the letters matters when writing congruence statements.
The claim is that [tex]\triangle TUV \cong \triangle XYZ[/tex]
The first two letters of each are "TU" and "XY" in that order.
But notice how TU has a single tickmark, while XY has a double tickmark. The two sides are clearly different.
--------
Instead, the statement should be: [tex]\triangle TUV \cong \triangle ZYX[/tex] because of the following three facts:
TU = ZY (single tickmark)UV = YX (double tickmark)TV = ZX (triple tickmark)Notice that:
TU and ZY are the 1st two letters of TUV and ZYXUV and YX are the last two letters of TUV and ZYXTV and ZX are the 1st and 3rd letters of TUV and ZYXSelect the correct answer. There are three cell phone models in a store. When selecting a new cell phone, 25% of the customers choose model A, 33% choose model B, and 32% choose model C. The remaining customers buy from an old collection on which the average profit is $50. If the average profit earned on models A, B, and C is $60, $75, and $40, respectively, what is the expected value of the profit earned on all models?
Answers
Given the average profits on the different cell phone models, the expected value of profit to be earned on all models is $57.55
How to find the expected value?The expected value of the profit on these models of cell phones can be found based on the number of customers who choose the model and the profit of that model.
The expected value of the profit on all the models is:
= ∑ ( percentage of customers x Profit per model)
= (Percentage of customers model A x Profit from model A) + (Percentage of customers model B x Profit from model B) + (Percentage of customers model C x Profit from model C) + (Percentage of customers old collection x Profit from old collection)
= (25% x 60) + (33% x 75) + (32% x 40) + ( (1 - 25% - 33% - 32%) x 50)
= $57.55
Options for this question are:
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Suppose U = {2,3,6,9,10,13,14,17,19) is the universal set and A = {2,9,10). What is A'?
Answers
The complement of set A is { 3, 6, 13, 14, 17, 19}
What is the complement of a given set?The complement of a set is the set that includes all the elements of the universal set that are not present in the given set. Let's say A is a set of all coins which is a subset of a universal set that contains all coins and notes, so the complement of set A is a set of notes (which do not includes coins).
U = {2,3,6,9,10,13,14,17,19}, A = {2,9,10}
set A complement are all the elements in the Universal set U not contained in set A. Those elements are in set A' = { 3, 6, 13, 14, 17, 19}
In conclusion the complement of set A is { 3, 6, 13, 14, 17, 19}
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y=– 3/7x+4. Perpendicular to line c is line d, which passes through the point (2,4). What is the equation of line d?
Answers
The equation of line d that is perpendicular to line c is: y = 7/3x - 2/3.
How to Find the Equations of Perpendicular Lines?Perpendicular lines have slope values, whose product is equal to -1, that is, they are negative reciprocals to each other. An equation in slope-intercept form is often written for a line as y = mx + b, where m = slope and b = y-intercept.
The slope of y - 3/7x + 4 is -3/7. The negative reciprocal of -3/7 is 7/3. Therefore, the slope (m) of the perpendicular line d is 7/3.
Substitute m = 7/3 and (x, y) = (2, 4) into y = mx + b to find the value of b (y-intercept of the line):
4 = 7/3(2) + b
4 = 14/3 + b
-14/3 + 4 = b
(-14 + 12)/3 = b
-2/3 = b
b = -2/3.
To write the equation of line d, substitute m = 7/3 and b = -2/3 into y = mx + b:
y = 7/3x - 2/3
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Use the following sequence to complete the parts: 8, 5, 2, -1,...
Is this arithmetic or geometric? (Type A or G)
What are the NEXT 3 terms?
What is the equation? t(n) =
What would be the 100th term?
n+
Is-345 a part of the sequence? (Type Y or N)
Answers
The given sequence is arithmetic sequence. The next three terms of the sequence are -4,-7,-10. the equation can be given as 11-3n. the 100th term of the sequence is -289.
What is a sequence?
A sequence is a function from natural numbers to the set of real numbers. it maps the set of number numbers on the set of real numbers.
We are given a sequence 8, 5,2, -1,.....
Now the first term of the sequence is 8 and common difference is -3.
As the difference between 2 consecutive terms is same, the given sequence is arithmetic.
now substituting this in the standard equation
we get,
t(n) = a+ (n-1)d
t(n)= 8+(n-1)(-3)
t(n) = 8-3n+3
t(n) = 11-3n (1)
Now we have to find the 5th, 6th, 7th term of the sequence
We substitute n=5, n=6, n=6 in equation 1
We get
t(5) = 11-3(5)
t(5) = 11-15
t(5) = -4
And,
t(6) = 11-3(6)
t(6) = 11-18
t(6) = -7
And,
t(7) = 11-3(7)
t(7) = 11-21
t(7) = -10
Hence the next three terms are -4, -7, -10.
The equation is t(n) = 11-3n
The 100th term would be given as
t(100) = 11-3(100)
t(100) = 11-300
t(100) = -289
Hence, The given sequence is arithmetic sequence. The next three terms of the sequence are -4,-7,-10. the equation can be given as 11-3n. the 100th term of the sequence is -289
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The distance from Jose’s home to school is 1. 85 miles. The school is 2. 34 miles from the local library, which is 1. 9 miles from Jose’s home. If Jose goes from his home to school, from school to the library, and then home, how far did he travel?
Answers
The Jose travels as he travels from his home to school, through school to the library, then finally back home is 4.19 miles.
Define the term total distance?Distance is defined as an object's entire movement without regard for direction. Distance can be defined as how much ground any object has covered regardless of its originating or ending place.The distance between Jose's house and school is 1.85 miles.
The school is 2.34 miles from the nearest library, which is 1.91 miles away from Jose's house.
Total distance = Jose’s home to school + school to library
Total distance = 1.85 + 2.34
Total distance = 4.19 miles.
Thus, the Jose travels as he travels from his home to school, through school to the library, then finally back home is 4.19 miles.
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PLEASE HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Jesse and Amir were assigned the same book to read. Jesse started reading on Saturday, and he is reading 30 pages a day. Amir didn't start until Sunday, but he is reading 35 pages a day.
Write an equation to represent the number of pages Amir has read. Use x to represent the number of days Amir has been reading and y to represent the number of pages he has read.
Answers
The total number of pages that he read will be 210 pages.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Based on the equation given, the equation to represent Amir's information will be:
y = 35 × x
y = 35x
Jesse's equation will be:
y = 30(x + 1)
Then, we'll equate both equations together. This will be:
35x = 30(x + 1)
35x = 30x + 30
35x - 30x = 30
5x = 30
x = 30/5
x = 6
Therefore, the number of pages read will be:
y = 35x
y = 35 × 6
y = 210 pages.
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Which system of equations is represented by the graph ?
A. y=x^2+2x+1
2x+y=2
B. y=x^2-2x+1
2x+y=2
C. y=x^2+2x+1
2x+y=2
D. y=x^2-2x+1
2x-y=2
Answers
option D, y=x^2-2x+1 , 2x-y=2 represents system of equations .
Given:
points (1,0) and (3,4)
line equation is y - y1 = m(x-x1)
y - 0 = 4-0/3-1(x - 1)
y = 2(x-1)
y = 2x - 2
2x - y =2.
The vertex of the given upward parabola is in the first quadrant so the coefficient of [tex]x^{2}[/tex] must have positive values.
so y = [tex]x^{2} -2x+1[/tex]
Therefore option D y=x^2-2x+1 , 2x-y=2 is correct.
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A town has a population of 2.25 x 104 and grows at a rate of 5.1% every year. Which
equation represents the town's population after 2 years
Answers
Answer:
P=(2.25 x 10^4)(1 + 0.051)(1 +0.051)
Step-by-step explanation:
HELP PLS GIVING BRAINLIEST TO PERSON WHO ANSWERS FIRST
A rental car company charges $26.03 per day to rent a car and $0.13 for every mile driven. Malik wants to rent a car, knowing that:
He plans to drive 250 miles.
He has at most $350 to spend.
Which inequality can be used to determine d, the maximum number of days Malik can afford to rent for while staying within his budget?
Answers
The inequality that can be used to determine d, the maximum number of days Malik can afford to rent for while staying within his budget is 26.03d + 0.13m ≤ 350.
What is an inequality?Inequalities are created through the connection of two expressions. It should be noted that the expressions in an inequality aren't always equal. Inequalities implies that the expressions are not equal. They are denoted by the symbols ≥ < > ≤.
In this case, the rental car company charges $26.03 per day to rent a car and $0.13 for every mile driven
Let the number of days be d.
Let the number of miles be m.
The appropriate inequality to illustrate this is 26.03d + 0.13m ≤ 350.
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The ____ of 12 is -12.
Answers
Answer; the Negative of 12 is -12
Step-by-step explanation: first of all the reciprocal of 12 is 1 over 12. so that's not it. The absolute value of 12 is still 12 so that's not it. So the only thing that it can be is the Negative of 12 is -12
X = 4/2, y=-3/4 find X+Y
x-y
Answers
Step-by-step explanation:
X+Y=4+2=6X-Y=4-2=2OR
X+Y=3+4=7X-Y=3-4=-1the product of three consecutive positive integers is times their sum. what is the sum of their squares?
Answers
77 is the sum of their integers squares .
What in math is an integer?
A whole number that can be positive, negative, or zero is called an integer. It is not a fraction. Integer examples include: -5, 1, 5, 8, 97, and 3,043. 1.43, 1 3/4, 3.14, and other numbers are examples of non-integer numbers.Three types of integers exist: 0 (zero), positive integers (natural numbers), and negative integers.Let the numbers be ( n - 1 ), n , ( n + 1 )
according to question
( n - 1 ) (n) ( n + 1 ) = 8( n + n - 1 + n + 1 )
n( n² - 1 ) = 8(3n)
( n² - 1 ) = 24
n²= 25
n = 5
since n is positive integer n = 5
thus required numbers are 4,5,6
4² + 5² + 6² = 77
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If you add a prime number to itself, is the sum composite or prime?
Answers
Answer: The sum of two prime numbers is always even (which is composite).
Hope this helped :)
The first side of a triangle is 2 feet longer than
the second. The third side is 5 feet shorter than
twice the second. The perimeter is 49 feet. Find
the length of each side.
Answers
The length of the first side of the triangle is 15 feet, the length of the second side of the triangle is 13 feet and the third side is 21 feet.
According to the question,
We have the following information:
The first side of a triangle is 2 feet longer than the second. The third side is 5 feet shorter than twice the second. The perimeter is 49 feet.
Let's take the second side to be x feet.
So, we have the following sides:
First side = (x+2) feet
Third side = (2x-5) feet
Perimeter = 49
x+x+2+2x-5 = 49
4x-3 = 49
Adding 3 on both the sides:
4x = 49+3
4x = 52
Dividing by 4 on both the sides:
x = 52/4
x = 13 feet
First side = 2+13
First side = 15 feet
Third side = 2*13-5
Third side = 26-5
Third side = 21 feet
Hence, the length of the first side of the triangle is 15 feet, the length of the second side of the triangle is 13 feet and the third side is 21 feet.
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help
If T=5n+2, which term will have a value of 52?
Answers
Answer:
T = 52
Step-by-step explanation:
how could we determine the input value of t when W(t)=15 and the rule for function w is 2t+5
