By maxima and minima concept, p = $12.50 gives the maximum revenue as $312.50
Expression to model number of backpacks = -2p + 50
As we know that
Revenue collected = Price of a backpack * Number of backpacks
If price = $9
Number of backpacks = -2*9+50 = 32
Revenue collected = 9 * 32 = 288
If price = $10
Number of backpacks = -2*10+50 = 30
Revenue collected = 10*30 = 300
If price = $11
Number of backpacks = -2*11+50 = 28
Revenue collected = 11 *28 = 308
If price = $12
Number of backpacks = -2*12+50 = 26
Revenue collected = 12* 26= 312
If price = $13
Number of backpacks = -2*13+50 = 24
Revenue collected = 13 * 24= 312
Since revenue at p=12 and p=13 is the same, it means by the first derivative principle max revenue will be at an average of points p=12 and p=13
Average value = (12+13)/2 = 12.5
What is first derivative principle?It says that if we get the maximum value at a point, the function value at the same distance in its neighborhood will be equal.
Revenue at p=12.5:
12.5* [-2*12.5+50] = 312.5
Therefore, p = $12.50 gives the maximum revenue as $312.50.
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geometry pls help plssss
Factor completely 2x2 9x 4. (2x 2)(x 2) (2x 1)(x 4) (2x 4)(x 1) (2x 2)(x 4).
Factors of the given expression are [tex](x+4), (2x+1)[/tex]
Given expression is
[tex]2x^2 + 9x+4[/tex]
What is a factor?A factor is a number that divides another number completely.
Let us split the middle term as:
[tex]2x^2 + 8x + x+4\\\\2x(x+4)+1(x+4)\\\\(x+4) (2x+1)[/tex]
Therefore, factors of the given expression are [tex](x+4), (2x+1)[/tex]
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Answer:
Your Answer Mate- (2x + 1)(x + 4)
Step-by-step explanation:
(2x^2 + 8x)(x + 4).
(2x^2 + 8x)
2x(x + 4)
1(x+4)
Your factors are now (2x + 1)(x + 4)
What other information do you need in order to prove the triangles congruent using the SAS Congruence Postulate?
Answer:
Step-by-step explanation:
AC is perpendicular to BD.
Further explanation
We observe that both the ABC triangle and the ADC triangle have the same AC side length. Therefore we know that is reflexive.
The length of the base of the triangle is the same, i.e., .
In order to prove the triangles congruent using the SAS congruence postulate, we need the other information, namely . Thus we get ∠ACB = ∠ACD = 90°.
Conclusions for the SAS Congruent Postulate from this problem:
∠ACB = ∠ACD
- - - - - - - - - -
The following is not other or additional information along with the reasons.
∠CBA = ∠CDA no, because that is AAS with ∠ACB = ∠ACD and
∠BAC = ∠DAC no, because that is ASA with and ∠ACB = ∠ACD.
no, because already marked.
- - - - - - - - - -
Notes
The SAS (Side-Angle-Side) postulate for the congruent triangles: two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle; the included angle properly represents the angle formed by two sides.
The ASA (Angle-Side-Angle) postulate for the congruent triangles: two angles and the included side of one triangle are congruent to two angles and the included side of another triangle; the included side properly represents the side between the vertices of the two angles.
The SSS (Side-Side-Side) postulate for the congruent triangles: all three sides in one triangle are congruent to the corresponding sides within the other.
The AAS (Angle-Angle-Side) postulate for the congruent triangles: two pairs of corresponding angles and a pair of opposite sides are equal in both triangles.
Learn more
Which shows two triangles that are congruent by ASA? brainly.com/question/8876876
Which shows two triangles that are congruent by AAS brainly.com/question/3767125
About vertical and supplementary angles brainly.com/question/13096411
PLEASE HELP MEEEEEE!!!?
Answer: The answer is B. 800 feet.
Step-by-step explanation: Look at the place on the x-axis (time) where 2.5 is. Now, look where the line intersects the vertical line of 2.5 minutes. It is at around 800 feet, so B is the correct answer.
can anyone help Please
Step-by-step explanation:
Find the LCM of both sides and carry out your usual fraction operations, thereafter you solve for x by collecting like terms and then divide both sides by the coefficient of x,, then u get your value for x.
PLEASEEEE SIMPLIFYYYYY!!!!!!!!!
(3rs^2t^4)^2/21r^2s^3t^11
Answer:
3r4s7t19
————————
7
Step-by-step explanation:
is the following data an example of a linear function
Answer:
Yes it is.
Step-by-step explanation:
find H.C.F. of 144, 252 and 630
The HCF IS 18
HOPE THIS HELPS U
Jan rewrote the expression ½y • 5 as 5 •½y Which property of operations did Jan use?
Answer:
Commutative property of multiplication
Step-by-step explanation:
Answer:
Jan is using commutative property.
Step-by-step explanation:
Commutative property is when you switch values and they don't make a change in the outcome.
Just remember, this only applies to addition and multiplication but does not apply to division or subtraction!!!
Examples:
2+4=6
4+2=6
9x3=27
3x9=27
Your sock drawer has two white socks, six brown socks, and six black
socks. You randomly pick a sock and put it on your left foot and then pick
another sock and put it on your right foot. You leave the house with a white
sock on your left foot and a brown sock on your right foot. *
Answer
The probability of this occurring is 1/7
Step-by-step explanation:
Okay, here is a probability question.
From the question, we can identify the following;
Total number of socks = 2 + 4 + 2 = 8 socks
Since we are not given the order in which the socks was worn, we can assume any order.
Let’s say the right leg socks was worn first.
From the question, the socks on the right leg is a brown one.
So now let’s calculate the probability of selecting a brown socks out of the mix
That would be ;
number of brown socks/ total number of socks = 4/8 = 1/2
Now, for the left foot, we are having white sock here.
Kindly recall that since we already have a sock on the right foot, we have 7 socks left to pick from.
Now we need the probability of picking a white sock from the total 7. That would be ; 2/7
So the probability of both action occurring is simply the product of both probabilities and that is ;
1/2 * 2/7 = 1/7
Please help, I’ll mark your answer as brainliest.
Already answered here: https://brainly.com/question/26919792
find equations and without absolute value for the first one
Answer:
i can't rly read number 22 srry
b x+1>0=x>-1
c x+1<0=x<-1
Hope This Helps!!!
this is a sketch of the curve with equation y=f(X). The curve has a minimum point at M(-1,-3).
The minimum point of the function y=f(x)+3 is at (-1 , 0 ) .
The biggest and lowest value of a function, either inside a specific range (the local or relative extrema) or on the entire domain, are generally referred to as extrema (plural of extremum) in mathematical analysis (the global or absolute extrema). One of the first mathematicians to suggest the general method of adequacy for determining the maxima and minima of functions was Pierre de Fermat.
The maximum and minimum of a set are the greatest and least items in the set, as described by set theory. There are no minimum or maximum values in unbounded infinite sets, such as the set of real numbers.
Say that (x,y) = where y = f(x) minimum occurs at (-1,-3). As a result, for all other x inside its domain of definition, y= f(x) >=-3
y = f(x) + 3 simply elevates the graph of y by 3 and increases the value of y for any x. Its minimum x-value remains at -1, and its value for y is f(3) + 3 = -3 + 3 = 0. as a result, new minimum =(-1 , 0 ) .
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Disclaimer: The complete question is :
This is a sketch of the curve with equation y=f(X). The curve has a minimum point at M(-1,-3).Find the minimum value for the function y=f(x)+3 .
#SPJ1
What is the value of x in the equation −30x+855=−345?
The value of x in the given equation −30x+855=−345 is 4.
What is an equation?An equation is formed of two equal expressions, equated together with the help of an equal sign '='.
The value of x can be written as,
[tex]-30x+855=-345\\\\-30x=-345-855\\\\-30x=-1200\\\\30x=1200\\\\x=4[/tex]
Hence, the value of x in the given equation −30x+855=−345 is 4.
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Hunter thought he had 400 baseball cards, but he actually had 620. Calculate Hunter’s percent error.
With the actual ball the hunter had as 620 balls and the ball the hunter thought he had as 400 balls, The Hunter’s percentage error is mathematically given as
e=35.483%
What is Hunter’s percentage error?Question Parameters:
Hunter thought he had 400 baseball cards, but he actually had 620.
Generally, the equation for the error is mathematically given as
[tex]e=(\frac{false cards}{original card}*100)[/tex]
Therefore, if
False cards=620-200
Hence
[tex]e=(\frac{false cards}{original card}*100)\\\\e=(\frac{220}{620}*100)[/tex]
e=35.483%
In conclusion, the percent error is
e=35.483%
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What is 2 +4s=16 on a graph
Find the volume of a cone
evaluate each question
-12 • (-1/3)
Answer:
4
Step-by-step explanation:
[tex] = - 12 \times ( \frac{ - 1}{3} ) \\ = \frac{12}{3} \\ = 4[/tex]
- 12 × -1 is +12 because - × - = +
All of the quadrilaterals in the shape below are squares. Find the area of the shaded
region.
12
3
the area of the shaded region : (9x3)+(12x3) = 27+36=63
The area of the shaded region is equal to the subtraction of the total area to the area of the two small squares and one big square. Then the area of the shaded region is 63 square units.
What is Geometry?It deals with the size of geometry, region, and density of the different forms both 2D and 3D.
All of the quadrilaterals in the shape below are squares.
Then the area of the shaded region will be
The area of the shaded region is equal to the subtraction of the total area to the area of the two small squares and one big square.
Area = 15 × 15 - 3 × 3 - 3 × 3 - 12 × 12
Area = 225 - 9 - 9 - 144
Area = 225 - 162
Area = 63
The area of the shaded region is 63 square units.
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Do these ratios form a proportion?
4 quarts : 6 weeks
12 quarts : 16 weeks
yes
no
Submit
Answer:
No, these ratios aren't proportional
Step-by-step explanation:
4:16 base ratio is 1:4
12:16 base ratio is 1:1.333333333
For a relationship to be proportional, the base ratios must be equal.
Choose the sentence that explains how the bonding pattern in metals makes them good conductors of electricity
The sentence that explains how the bonding pattern in metals makes them good conductors of electricity is A. They are willing to give up their valence electrons.
What are valence electrons?Valence electrons are the electrons in the outermost shell, or energy level, of an atom, which participate in the formation of a chemical bond when the outer shell is open.
Answer Options:A. They are willing to give up their valence electrons.
B. Their nucleus has more protons than neutrons.
C. They are malleable.
D. They have a simpler electron arrangement.
Thus, the sentence that explains how the bonding pattern in metals makes them good conductors of electricity is Option A.
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I just need the y on the last one
Thank you
(i will give u 10 extra points if you help) Thanks :)))
Answer:
D
Step-by-step explanation:
How would you explain the differences between graphing x > 4 and x ≥ 4 to a peer who missed this lesson?
Answer:
x > 4 you would graph with an open circle and x ≥ 4 you would graph with a closed circle. The question x is greater than or equal to 4 you would have the line going to the right, the same thing with x > 4. Hope this helped.
Step-by-step explanation:
Which figures show adjacent angles
The driving distance between Manchester and London is 195 miles. Farris intends to travel from Manchester to London by coach. The coach will leave Manchester at 3:30pm .
Answer:
Step-by-step explanation:
The answer is 7:24pm
AS 3:30+(195/50)=7.24
(You have to keep in mind that there are 60 minutes in a hour not a hundred..)
Write the formula for the parabola that has x- intercepts (1.3.0) and (-1.3.0). and y - intercept (0.169)
From x- intercepts it was possible to find the formula of the parabola: x²-1.69=0.
Quadratic functionThe quadratic function can be represented by a quadratic equation in the Standard form: ax²+bx+c=0 where: a, b and c are your respective coefficients. In the quadratic function the coefficient "a" must be different than zero (a≠0) and the degree of the function must be equal to 2.
From the sum and product of the roots in a quadratic function it is possible to write your respective equation. Since:
S= sum of the roots (x1+x2) = [tex]-\frac{b}{a}[/tex]P= product of the roots (x1*x2)= [tex]\frac{c}{a}[/tex]This question gives the root since it informs the x- intercepts (1.3,0) and (-1.3,0). Then, the roots are: x1=1.3 and x2= -1.3.
Hence, you should write the equation in factors from the known roots. See: (x-1.3) * (x+1.3)=0. Multiplying the factor, you will have:
x²+1.3x-1.3x-1.69=0
x²-1.69=0
You can check the previous result from :
the sum of the roots (S) will be 1.3-1.3=0.
the product of the roots (P) will be 1.3*(-1.3)=-1.69.
So, the formula of the parabola is x²-1.69=0. The attached figure shows the x-intercepts and y-intercept informed.
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Can anyone explain me well thats whats
" twice the variable P divided by the product of 5 and q
Answer:
See below.
Step-by-step explanation:
Twice means multiplied by 2.
Product is the solution to a multiplication equation.
2p/5q
-hope it helps
Oliver completed his project in no more than twice the amount of time it took Karissa to complete her project. Oliver spent 4 and one-fourth hours on his project. If k represents the amount of time that it took Karissa to complete her project, which inequality can be used to represent the situation? 4 and one-fourth less-than 2 k 4 and one-fourth less-than-or-equal-to 2 k 4 and one-fourth greater-than 2 k 4 and one-fourth greater-than-or-equal-to 2 k.
The time taken by Oliver to complete the work is less than or equal to twice the work done by Karissa.
Option B shows the correct equation of inequality to write the time taken to complete the work.
What is inequality?Inequality can be defined as a relation that makes a non-equal comparison between two numbers or other mathematical expressions.
Given that Oliver completed his project in no more than twice the amount of time it took Karissa to complete her project. Also, the time taken to complete the project is,
Oliver = 4 and one-fourth hours
Karissa = K hours
As per the given condition, the work done by Oliver should not be more than twice the work done by Karissa. It can be equal or less. So we can write this in equation form as,
Oliver [tex]\leq[/tex] 2 Karissa
[tex]4\dfrac {1}{4} \leq 2K[/tex]
Hence Option B shows the correct equation of inequality to write the time taken to complete the work.
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Answer:
b
Step-by-step explanation:
Combine like terms:
12x+4x-7y+45b+78a-44b+1a+1z+0d+1.1a+1.1a+2+2+2
PLEASE PLEASE HELP
Answer:
16x -7y +b +81.2a +z +6
Step-by-step explanation:
Coefficients of terms with the same variable are added when like terms are combined.
12x+4x-7y+45b+78a-44b+1a+1z+0d+1.1a+1.1a+2+2+2
=(12 +4)x +(-7)y +(45 -44)b +(78 +1 +1.1 +1.1)a +(1)z +(2+2+2)
= 16x -7y +b +81.2a +z +6