Type the correct answer in the box. Use numerals instead of words.
Betty sets up a lemonade stand and charges $1 per glass. It cost her $50 to set up the stand. Which function gives the profit, p, she makes by selling g glasses of lemonade?
The number of glasses of lemonade, g, that Betty needs to sell to make a profit, p, if the setup cost her $50 is given by the function p(g) =
.
Answer:
1g - 50 = p(g)
Step-by-step explanation:
The profit function is,
⇒ p(g) = g - 50
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
Betty sets up a lemonade stand and charges $1 per glass.
It cost her $50 to set up the stand.
And, We have to find the function gives the profit, p, she makes by selling g glasses of lemonade.
Now, The number of glasses of lemonade sold = g,
And, A profit, p by function p(g)
Setup cost = $50
Since, Charges for 1 glass = 1 $
Hence, Charges for g glasses = 1.g = $g
Here, The cost = $50
Hence, Profit = $g - 50
⇒ p(g) = g - 50
Therefore, The profit function is,
⇒ p(g) = g - 50
Learn more about the mathematical expression visit:
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2x+5
---------
x+1
hãy giupd tôi
2x+5
x+1
2+3.......
x+1
Answer:
ask your teachehope help
and search on somewhere I search it there is so many answer
Graph the inequality on a separate sheet of paper. Then explain how you would determine if(-1,-4) is a solution by
looking at the graph.
Step-by-step explanation:
Looking at the graph, if you plot the point (-1,-4) you'll see that the point is on the area(red one, in the graph I attached) the graph covers, you can also put x=-1 and y=-1 to check if it's true or not
If you apply the changes below to the absolute value parent function, 1(x) = 1X, what is the equation of the new function? Shift 8 units left. • Shift 3 units down. O A. g(x) = (x + 81 - 3 O B. g(x) B. g(x) = (x - 3| + 8 O c. g(x) = [X - 31- 8 D. g(x) = (x - 8 - 3
Answer:
A. g(x) = |x + 8| - 3Step-by-step explanation:
If the function is f(x), then shift 8 units left and 3 units down will result in:
g(x) = f(x + 8) - 3Apply to the given function to get:
g(x) = |x + 8| - 3Correct choice is A
Which expression is equal to the expression below?
(2x6)^4
Answer:
2^4 x 6^4
Step-by-step explanation:
Change the quadratic function into vertex form.
Answer:
(-1, -6)
Step-by-step explanation:
1. Identify the coefficients
a = 1/4 b = 1/2
2. Substitute the coefficients in the equation.
x = -b/2a
3. Solve the equation.
x = -1
4. Evaluate the function for x = -1 (to find y).
5. Calculate the function value.
6. y = -6
What is the coefficient of x6 y4 in the expansion of (x + y)10?
Answer:
It is C.
Step-by-step explanation:
Too lazy to explain.
Find the value of x for which pll q.
Answer:
D) 9
Step-by-step explanation:
These angles are equal to each other because they’re alternate interior angles so:
9x + 8 = 15x - 46
9x - 15x = -46 - 8
-6x = -54
x = 9
-(2x +y) - 2 ( -x - y)
....................
Answer:
First, we apply the Distributive property and then we combine like terms,
To combine like terms, we add or subtract.
[tex]-(2x +y) - 2 ( -x - y)[/tex]
[tex]=-2x-y+2x+2y[/tex]
[tex]=(-2x+2x)+(-y+2y)[/tex]
[tex]=0+y[/tex]
[tex]=y[/tex]
OAmalOHopeO
Answer:
y is the simplest result here.
Step-by-step explanation:
Perform the indicated multiplication as a first step towards simplifying this expression:
-2x - y + 2x + 2y
-2x and 2x cancel each other out, leaving 2y - y, or just y
plz help me on this
4. Define Adjacent Angles.
Answer:
hope this helps
Step-by-step explanation:
Adjacent angles are two angles that have a common side and a common vertex (corner point) but do not overlap in any way.
Answer:
the two angles that have a common sides and a common vertex but do not overlap in any way is called adjacent angles.
f(x)=3x^2-4x
find f(-1)
Answer:
7
Step-by-step explanation:
f(x)=3x^2-4x
Let x = -1
f(-1)=3(-1)^2-4(-1)
= 3(1) +4
= 7
Answer:
[tex]f(x) = 3 {x}^{2} - 4x \\ f( - 1) = 3 \times { (- 1)}^{2} - 4 \times - 1 \\ 3 + 4 \\ = 7 \\ thank \: you[/tex]
It is given that m=3x+1 and y= (5/1+m^2).
Find dy/dx in terms of x.
Answer:
[tex]{ \underline{ \bf{ \frac{dy}{dx} = - \frac{30m}{ {(1 + {m}^{2}) }^{2} } }}}[/tex]
Step-by-step explanation:
[tex]{ \bf{m = 3x + 1}} \\ { \sf{ \frac{dm}{dx} = 3 }} \\ \\ { \bf{y = \frac{5}{1 + {m}^{2} } }} \\ \\ { \tt{ \frac{dy}{dm} = \frac{ - 10m}{ {(1 + {m}^{2} )}^{2} } }}[/tex]
Using chain rule:
[tex]{ \boxed{ \bf{ \frac{dy}{dx} = \frac{dy}{dm}. \frac{dm}{dx} }}}[/tex]
[tex]{ \sf{ \frac{dy}{dx} = - \frac{10m}{ {(1 + {m}^{2}) }^{2} } \times 3}} \\ \\ { \sf{ \frac{dy}{dx} = - \frac{30m}{ {(1 + {m}^{2}) }^{2} } }}[/tex]
[tex]{ \underline{ \sf{ \blue{christ \:† \: alone }}}}[/tex]
Answer:
Step-by-step explanation:
Never saw a problem presented in this way in all my years of teaching calculus. But I'm thinking that we need to sub that given expression for m into the equation for y and get everything into y in terms of x in order to find the derivative. I see no other way that makes sense. Can't find the derivative of y in terms of x if there's an m in there. Making that substitution:
[tex]y=\frac{5}{1+(3x+1)^2}[/tex] which simplifies to
[tex]y=\frac{5}{1+9x^2+6x+1}[/tex] and a bit more to
[tex]y=\frac{5}{9x^2+6x+2}[/tex] and now we're ready to find the derivative. Using the quotient rule:
[tex]y'=\frac{(9x^2+6x+2)(0)-[5(18x+6)]}{(9x^2+6x+2)^2}[/tex] which simplifies to
[tex]y'=\frac{-90x-30}{(9x^2+6x+2)^2}[/tex] or, equally:
[tex]y'=-\frac{90x+30}{(9x^2+6x+2)^2}[/tex]
How do I solve this problem? The trouble that I have is evaluating if 2^∞ or ∞³ is larger?
For large enough x, exponential functions like 2ˣ will always dominate a polynomial of any degree. This is to say the denominator will always be larger than the numerator (again, for sufficiently large x). So the limit in this case would be 0. (I'll leave a link in comments to a variety of answers regarding this detail.)
But if you've been introduced to L'Hopital's rule: we have
[tex]\displaystyle \lim_{x\to\infty}\frac{5x^3+10}{6\times2^x-1} = \lim_{x\to\infty}\frac{15x^2}{6\ln(2)\times2^x} = \lim_{x\to\infty}\frac{30x}{6\ln^2(2)\times2^x} = \lim_{x\to\infty}\frac{30}{6\ln^3(2)\times2^x} = \frac1\infty = 0[/tex]
PLEASE HELP
WILL THANK YOU AND GIVE BRAINLIEST
Answer:
15. 6444.44445
14. 484
Step-by-step explanation:
Geometry, please answer question ASAP
Answer:
D) 12.2
Step-by-step explanation:
EH is median
FH = HG
6x - 1.1 = 4x + 1.3
Add 1.1 to both sides
6x = 4x + 1.3 + 1.1
6x = 4x + 2.4
Subtract 4x from both sides
6x - 4x = 2.4
2x = 2.4
Divide both sides by 2
x = 2.4/2
x = 1.2
FH = 6x - 1.1
= 6*1.2 - 1.1
= 7.2 - 1.1
= 6.1
FG = 6.1 + 6.1 = 12.2
BC has endpoints B(5,9) and C(-4,-3). Find the coordinates of the midpoint of BC.
I need help !!
Answer:
(0.5,3)
Hope this helps..Have a good day!!
a coin is tossed and a number cube is rolled. What is the probability of tossing heads and rolling a 3 or a 5
Answer: 1/6
Step-by-step explanation:
Probability of getting heads = 50/100
= 1/2
Probability of tossing a 3 or 5 = 2/6
= 1/3
Now probability of getting both = 1/2×1/3
= 1/6
Please click thanks and mark brainliest if you like
Answer:
1/6
Step-by-step explanation:
There are two possible outcomes for tossing a coin
heads and tails
P(heads)= heads/ total = 1/2
Rolling a die has 6 possible outcomes 1,2,3,4,5,6
P*3 or 5) = 3 or 5 /total = 2/6 = 1/3
Multiply the probability of independent events together
1/2 * 1/3 = 1/6
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!
Larry is going on a road trip for work. He is recording how many miles he drives, and how many gallons of gas he uses for his expense report. Which is the independent variable?
A. the amount of gasoline Larry uses
B. the type of car Larry drives
C. the type of roads Larry drives on
D. the amount of miles Larry drives
Answer: option A the amount of gasoline larry uses
Step-by-step explanation:
This is because a independent variable is not changed by other variables.
please click thanks and mark brainliest if you like :)
1) factories x^2+7x
2) factories 6+9x
3) factories 6y^2-9xy
Step-by-step explanation:
it was helpful to you
always be happy in your life㋛︎㋛︎☺︎︎☺︎︎☺︎︎
[tex] {x}^{2} + 7x \\ x(x + 7) \\ \\ \\ 6 + 9x \\ 3(2 + 3x) \\ \\ 6 {y}^{2} - 9xy \\ 3x(2y - 3x)[/tex]
Divide. Write your answer as a fraction in simplest form.
−1/5÷20=
Answer:
-1/100
Step-by-step explanation:
Answer:-1/100
Step-by-step explanation:
Marry can read 22 pgs in 30mins .How long wud it take her to read a 100 page book??write your answer in hours and minutes and round it to the nearest minute??
Step-by-step explanation:
This is a proportions problem:This is a proportions problem: This is a proportions problem: 22 pages → 30 minutesThis is a proportions problem: 22 pages → 30 minutes100 pages → x minutesThis is a proportions problem: 22 pages → 30 minutes100 pages → x minutes This is a proportions problem: 22 pages → 30 minutes100 pages → x minutes The proportion is This is a proportions problem: 22 pages → 30 minutes100 pages → x minutes The proportion is This is a proportions problem: 22 pages → 30 minutes100 pages → x minutes The proportion is 22/100 = 30/xThis is a proportions problem: 22 pages → 30 minutes100 pages → x minutes The proportion is 22/100 = 30/x This is a proportions problem: 22 pages → 30 minutes100 pages → x minutes The proportion is 22/100 = 30/x ThenThis is a proportions problem: 22 pages → 30 minutes100 pages → x minutes The proportion is 22/100 = 30/x Then This is a proportions problem: 22 pages → 30 minutes100 pages → x minutes The proportion is 22/100 = 30/x Then x = (100/22)(30) minutes = 136.4 minutes.A right triangle has a 6cm base and an 8cm height. What is the length of the hypotenuse, in centimeters?
Answer:
the answer is 10 or 6^2+8^2=100
√100=10
Help I don’t get this
Directions: Write rack of the following statements using a symbolic language.
2. A number is four times larger than the square of half the number.
3. Steven has some money. If he spends $9.00, then he will have of the amount he started with.
4
The sum of a number squared and three less than twice the number is 129.
5. Miriam read a book with an unknown number of pages. The first week, she read five less than of the pages. The
second week, she read 171 more pages and finished the book. Write an equation that represents the total number
of pages in the book
Answer:
2.)4n>(n/2)^2
3. (The problem isn't clear)
4.)n^2+2n-3=129
5.)n-5=171
Step-by-step explanation:
2.)
4n(four times the number) >(larger than) (n/2)^2 (half the number squared)
4.)
Sum=addition
n^2 (number squared) +2n (twice the number)-3=129
5.)
N(unknown number of pages) -5(amount of pages already read)= 171(the number of pages it took her to finish)
I need help FAST!!!Make sure you can explain the problem
Answer:
AB is not a tangent to the circle
Step-by-step explanation:
The angle between a tangent and the radius at the point of contact = 90°
Using Pythagoras' identity to determine if the triangle is right at A
If the square of the longest side is equal to the sum of the squares on the other 2 sides then A is right.
longest side = 15 , then 15² = 225
8² + 9² = 64 + 81 = 145 ≠ 225
Then AB is not a tangent to the circle
At a particular restaurant, each slider has 225 calories and each chicken wing has 70 calories. A combination meal with sliders and chicken wings has a total of 7 sliders and chicken wings altogether and contains 1110 calories. Write a system of equations that could be used to determine the number of sliders in the combination meal and the number of chicken wings in the combination meal. Define the variables that you use to write the system.
Answer:
X+y=7
Step-by-step explanation:
i remember doing something like this but mines had the word onion rings .
HELP PLEASEEEE BOTH DUE SOON
Answer:
1. 2.7
2. 27
Step-by-step explanation:
M is at 5 N is at 7.7 so
7.7-5=2
2. AC measure is 36 and BC measure is 9 so 36-9=27
Answer:
1. 2.72. 27Step-by-step explanation:
1. 7.7 - 5 = 2.72. 36 - 9 = 27[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]
Please answer ASAP thank you and please I will mark you as a brainlist
Answer:
6 1/6 or 6 2/12
Step-by-step explanation:
2 4/6 + 3 1/2
Get a common denominator
2 4/6 + 3 1/2 * 3/3
2 4/6 + 3 3/6
5 7/6
Rewriting
5 6/6 + 1/6
6 1/6
A. 264
B. 233
C. 153
D. 268
9514 1404 393
Answer:
A. 264 mi³
Step-by-step explanation:
The area of the right triangular base is ...
A = 1/2bh
A = 1/2(6 mi)(8 mi) = 24 mi²
Then the volume of the prism is ...
V = Bh . . . . . where B is the base area and h is the distance between bases
V = (24 mi²)(11 mi) = 264 mi³
Please help explanation if possible
Answer:
Step-by-step explanation:
Subtract 3x from both sides
3x - 3x - 2y = -3x + y
Combine
-2y = - 3x + 7
Divide by - 2
-2y/-2 = -3x/-2 + 7/-2
y = 3x/2 - 7/2