A sports club is holding a fundraiser dinner. The function graphed models the profit, y, in dollars, from selling x tickets.
Select True or False to describe each statement.
Answers
Let
x-------> the number of tickets
y------> the profit in dollars
Let
[tex]A(0,-400)\ B(40,0)[/tex]
Find the slope of the linear equation
The slope is equal to
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
substitute
[tex]m=\frac{0+400}{40-0}[/tex]
[tex]m=10\frac{\$}{ticket}[/tex]
the linear equation is
[tex]y=10x-400[/tex]
Statements
case A) The y-intercept represents the cost per ticket
The statement is false
The cost per ticket represent the slope of the linear equation
The y-intercept is the value of the profit for a number of tickets equal to zero
In this problem the y-intercept is the point [tex](-400,0)[/tex]
case B) The slope represents the money spent before the sale of the first ticket
The statement is False
The slope represents the cost per ticket
the money spent before the sale of the first ticket is the y-intercept
case C) The sports club must sell more than [tex]40[/tex] tickets to make a profit
The statement is True
Because
we know that
For [tex]x=40\ tickets[/tex]
the value of the function is
[tex]y=0[/tex]
in the linear equation
[tex]y=10x-400[/tex]
For [tex]x>40\ tickets[/tex]
the profit will be
[tex]y > 0[/tex] --------> see the graph
therefore
the answer is
The sports club must sell more than [tex]40[/tex] tickets to make a profit
Answer:
the first 2 are false and the last one is true.
Step-by-step explanation:
I took the test :)
Related Questions
What rule can be used to find the next term of the arithmetic sequence
Answers
Walter is a comic book artist. He usually draws 36 comic panels each day. How many comic panels can he draw in 2 weeks.
Answers
hope this helps:D
plz give brainiest
What is the answer to the word problem a can of mixed nuts has 5 peanuts for every 2 cashews. there are 175 peanuts in the can. how many cashews are there?
Answers
answer=350
hope this helps
What is the result of factoring out the gcf from the expansion (24+36)?
Answers
So you could say,
12(2 + 3)
24=2*2*2*3
36=2*2*3*3
As seen, 12(2x2x3) is the greatest common factor amongst the numbers.
12(2+3)=(24+36)
Hope I helped :)
which of the following equations describe the graph shown below?
Answers
Hope this helps!
Evaluate this piecewise function at x=-4 and x=4.
(Can someone show me how to solve this because i don't know what to do to solve this)
Answers
f(x) = x², x≤ -4
= x³, -4 < x ≤ 1
= √x, x > 1
To find f(-4), we note that f(x) = x², x ≤ 4, so we should use this part of the function.
f(-4) = (-4)² = 16
To find f(4), we note that f(x) = √x, x > 1, so we should use this part of the function.
f(4) = √4 = +2 or -2.
A graph of the function is shown below. It indicates that f(4) = +2 for continuity.
Answer:
f(-4) = 16
f(4) = 2.
The number of heads that come up when a coin, biased so that heads comes up with probability 3/4, is flipped three times.
Answers
What is the justification for each step in the solution of the equation?
−2(x−1)+12=4x−6−2(x−1)+12=4x−6
Select from the drop-down menus to correctly justify each step.
−2(x−1)+12=4x−6−2(x−1)+12=4x−6 Given
−2x+2+12=4x−6−2x+2+12=4x−6
−2x+14=4x−6−2x+14=4x−6 Combine like terms.
−2x=4x−20−2x=4x−20
−6x=−20−6x=−20 Addition or Subtraction Property of Equality
x=206x=206
x=103x=103 Simplify.
Answers
Here are the following justifications:
Given: -2 (x-1) +12=4x-6
Distribute property = -2x+2+12=4x-6
Combine like terms= -2x+14=4x-6
Transpose = -2x = 4x – 20
Addition or Subtraction Property of Equality = -6x = -20
Division property of equality = x = 20/6
Simplify = x = 10/3
Answer:
Step-by-step explanation:
How can I pass the Algebra 1 EOC?
Answers
A red blinking light blinks every 18 seconds, while a yellow blinking light blinks every 12 seconds. If both lights start at the same time, after how many seconds will they next blink at the same time? A) 6 B) 18 C) 36 D) 54
Answers
In order to find the answer, you need to find the LCM, Least Common Multiple. The least common multiple of 18 and 12 is C. 36
Brainliest Please!!!
What conversion factor would you use to convert cubic decimeters to milliliters?
Answers
What is the probability of flipping heads with a biased coin?
Answers
Which table represents a linear function?
Answers
:D!!
<3333
Answer
C
hope it helps
what is the slope of the line through (-7,-8) and (0,4)
Answers
Answer:
the slope of the line is 12/7
Step-by-step explanation:
find the derivative of the given function at the indicated point f(x)=1/x a=2
Answers
Final answer:
The derivative of the function f(x) = 1/x at x = 2 is -1/4, found using the power rule of differentiation.
Explanation:
To find the derivative of the function f(x) = 1/x at the point where a = 2, we employ the power rule of differentiation. The function can be rewritten as f(x) = x-1. Applying the power rule (f'(x) = n*xn-1) to this function, the derivative is f'(x) = -1*x-2 or f'(x) = -1/x2. To find the derivative at x = 2, we simply substitute x with 2, giving us f'(2) = -1/22 = -1/4.
Which point is on the graph of a direct variation equation in which k = 1.8? A. (4, 0.45) B. (7.2, 4) C. (4, 7.2) D. (0.45, 4)
Answers
Answer: C
(4, 7.2)
Step-by-step explanation: Just took this test
Simplify (x^2+5x+6)/(15xy^2)/(2x^2+7x+3)/(5x^2y)
Answers
Take care,
Diana
Betsy, a recent retiree, requires $ 6 comma 000 6,000 per year in extra income. She has $ 60 comma 000 60,000 to invest and can invest in B-rated bonds paying 15 15% per year or in a certificate of deposit (CD) paying 5 5% per year. How much money should be invested in each to realize exactly $ 6 comma 000 6,000 in interest per year?
Answers
Then,
x + y = 60,000 . . . . . . . (1)
0.15x + 0.05y = 6,000 . (2)
Multiplying the first equation by 0.15 gives:
0.15x + 0.15y = 9,000 . (3)
Subtracting equation (2) from equation (3) gives:
0.1y = 3,000
y = 3,000 / 0.1 = 30,000
From equation (1):
x + 30,000 = 60,000
x = 60,000 - 30,000 = 30,000
Therefore, the amount of money that should be invested in each to realize exactly $6,000 in interest per year is $30,000 each.
The sum of two consecutive integers is 131. What are the integers?
Answers
x+x+1=131
2x+1=131
2x=131-1=130
x=130÷2 = 65
the integers are 65 and 66
Answer:
The Integers are 65&66
Step-by-step explanation:
Because I got correct with these awnsers
eight out of ten dentists prefer crest toothpaste.what is the ratio of dentist who do not prefer crest to those who do.
Answers
8 do, 2 don't
so the ratio would be 2:8 which can reduce to 1:4
A student is attempting to simplify the expression below. Sample mathematical work is shown. Which statement best applies to the sample mathematical work?
Given xy+yx+x-3(x+y), I first apply the distributive property, which yields the expression xy + yx + x – 3x – 3y. I can then collect like terms: since x – 3x = –2x, I have the expression xy + yx – 2x – 3y as my final answer.
A.
The student failed to properly apply the distributive property.
B.
The student collected two or more terms that were not like terms.
C.
The student failed to collect all like terms.
D.
The mathematical work shown above is correct.
Answers
How to simplify equations with fractional exponents?
Answers
[tex]a^{ \frac{m}{n} }[/tex] which can be rewritten as [tex] (\sqrt[n]{a} )^m[/tex]
for example: [tex](x + 3)^ \frac{2}{3} =( \sqrt[3]{x+3})^2 [/tex]
Final answer:
To simplify equations with fractional exponents, divide the digit term of the numerator by the digit term of the denominator and subtract the exponents of the exponential terms. Then multiply the numerators and denominators together and simplify by common factors if needed.
Explanation:
When simplifying equations with fractional exponents, we can follow these steps:
Divide the digit term of the numerator by the digit term of the denominator.Subtract the exponents of the exponential terms.Multiply the numerators and denominators together and simplify by common factors if needed.For example, let's simplify the equation √(x³ / y²). We divide x³ by y², which gives us x/y. Then we subtract the exponents, resulting in √(x/y). Finally, we can simplify the fractional exponent by taking the square root of x/y, which gives us √(x/y).
How many minutes will it take to drive 82 miles with the speed of 65 miles per hou?
Answers
time|hr = 82/65 hour
but 60minutes = 1hour. so
82/65 hr = 82/65×60 minutes = 75.7 minutes
Add.
Joe practiced his trumpet 3/4 hour on Monday and 7/12 hour on Tuesday. How long did he practice altogether?
a. 2 hours
b. 1 1/3 hours
c. 2 2/3 hours
d. 5 1/3 hours
Answers
Joe practiced his trumpet 3/4 of an hour on Monday and 7/12 of an hour on Tuesday. How long did he practice altogether?
Result
b. 1 1/3 hours.
Solution
We need to turn the fractions into time first. This is done with division, multiplication, and addition.
Let's divide and multiply
3/4 · 60 = 45
7/12 ·60 = 35
Let's add
45 + 35 = 80
From here, 80 is 60 + 20 minutes, or 1 and 1/3
Hope this helped!
The sum of three consecutive even integers is –78. What are the integers? Describe how you would use the strategy of writing an equation to solve the given problem.
Answers
3 even integers
divide -78 by 3
-78 / 3 = -26
so -24 + -26 + -28 = -78
equation would be:
n + n+2 + n+4 = -78
3n +6 = -78
3n = -84
n = -84 / 3 = -28
n +2 = -28 +2 = -26
n+4 = -28 +4 = -24
x+x+1+x+2 = -78
3x+3=-78
3x=-78-3= -81
x=-81÷3 = -9
the integers are -9, -8, -7
FM = 5y + 13, MG = 5 - 3y, FG = ? M is the midpoint of FG. Use the given information to find the missing measure or value.
Answers
8y=-8
y=-1
2FM=FG
-5+13-5+13=FG
FG=16
A line is a one-dimensional shape that is straight. The length of the side FG is 16 units.
What is a line?A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely.
Given that FM = 5y + 13 and MG = 5 - 3y. Also, midpoint of the line FG is M, therefore, the length of the two segments FM and MG will be equal to each other.
FM = MG
5y + 13 = 5 - 3y
5y + 3y = 5 - 13
8y = -8
y = -8/8
y = -1
Now, the length of the two line segments will be,
FG = FM + MG
= 2y + 13 + 5
= 2y + 18
= 2(-1) + 18
= -2 + 18
= 16
Hence, the length of the side FG is 16 units.
Learn more about Line here:
https://brainly.com/question/21511618
#SPJ2
Calculus: Help ASAP
Using n = 4 equal-width rectangles, approximate the integral from negative 2 to 2 of the quantity x cubed plus 8, dx. Use the mid-point of each sub-interval to determine the height of each rectangle.
Answers
Answer:
32
Step-by-step explanation:
To solve this, you need to start by finding the width of the rectangles and the midpoints. If n=4, b=2, a=-2, and the width of each triangle is delta x = b-a / n, then each width is equal to 1 and there will be four midpoints (you can also tell the amount of midpoints by n=4). These midpoints are -1.5, -0.5, 0.5, and 1.5. The height of each of the rectangles is going to be equal to f(x*k), where x*k is the specific mid point. This means that you need to find f(-1.5), f(-0.5), f(0.5), and f(1.5). When putting these into the function you will get 4.625, 7.875, 8.125, and 11.375. Seeing as the Riemann Sum formula says the summation of f(x*k) * delta x, multiply each of the heights by the width of 1 and then add all of the values together. When you do this you will get 4.625 + 7.875 + 8.125 +11.375 which all totals to 32. This means that the approximation of the given integral is 32.
A factor for (f/g, i, n) could be obtained by multiplying the (p/g, i, n) factor by the _______________ factor.
Answers
Answer:
hm
Step-by-step explanation:
good question
The factor that needs to be multiplied by the (p/g, i, n) factor to obtain the (f/g, i, n) factor is the conversion factor between the two units of measurement being used for the factor.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
In this case, the units of measurement for both factors are not specified, so it's not possible to determine the specific conversion factor needed. However, in general, if the two factors are expressing the same quantity but in different units (for example, feet and meters), then the conversion factor between those two units would be used to convert the (p/g, i, n) factor to the appropriate units before multiplying it by the (f/g, i, n) factor.
Thus,
The factor that needs to be multiplied by the (p/g, i, n) factor to obtain the (f/g, i, n) factor is the conversion factor between the two units of measurement being used for the factor.
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ2
Simplify –2x3y × xy 2. A. –2x3y4 B. –3x4y3 C. –12x4y3 D. –2x4y3
Answers
Can we obtain a diagonal matrix by multiplying two non-diagonal matrices? give an example
Answers
Consider the matrix multiplication below
[tex] \left[\begin{array}{cc}a&b\\c&d\end{array}\right] \left[\begin{array}{cc}e&f\\g&h\end{array}\right] = \left[\begin{array}{cc}a e+b g&a f+b h\\c e+d g&c f+d h\end{array}\right] [/tex]
For the product to be a diagonal matrix,
a f + b h = 0 ⇒ a f = -b h
and c e + d g = 0 ⇒ c e = -d g
Consider the following sets of values
[tex]a=1, \ \ b=2, \ \ c=3, \ \ d = 4, \ \ e=\frac{1}{3}, \ \ f=-1, \ \ g=-\frac{1}{4}, \ \ h=\frac{1}{2}[/tex]
The the matrix product becomes:
[tex] \left[\begin{array}{cc}1&2\\3&4\end{array}\right] \left[\begin{array}{cc}\frac{1}{3}&-1\\-\frac{1}{4}&\frac{1}{2}\end{array}\right] = \left[\begin{array}{cc}\frac{1}{3}-\frac{1}{2}&-1+1\\1-1&-3+2\end{array}\right]= \left[\begin{array}{cc}-\frac{1}{6}&0\\0&-1\end{array}\right][/tex]
Thus, as can be seen we can obtain a diagonal matrix that is a product of non diagonal matrices.
[tex] \left[\begin{array}{ccc}1&3&4\\0&-8&-9\\0&0&- \frac{55}{8} \end{array}\right] \cdot \left[\begin{array}{ccc}1&-3&- \frac{5}{8} \\0&1&- \frac{9}{8} \\0&0&1\end{array}\right] = \left[\begin{array}{ccc}1&0&0\\0&-8&0\\0&0&- \frac{55}{8} \end{array}\right] [/tex]