The table shows the amount of pet food in cups remaining in an automatic feeder as a function of the number of meals the feeder has dispensed.
Based on the table, which function models this situation?
Answers
Answer:
f(n) = -3n + 24
Step-by-step explanation:
Let the function representing Number of meals and amount of Pet Food remaining is,
f(n) = an + b
Where a = number of meals dispensed
n = amount of Pet food per meal
b = Initial amount of Pet food
From the table attached,
For n = 1 and f(n) = 21,
21 = a(1) + b
a + b = 21 -----------(1)
For n = 3 and f(n) = 15,
15 = a(3) + b
3a + b = 15 -----------(2)
Equation (2) - equation (1),
(3a + b) - (a + b) = 15 - 21
a = -3
From equation (1),
-3 + b = 21
b = 24
Therefore, function will be,
f(n) = -3n + 24
Answer:f(n)=-3+24
Explanation
Unit rate of the table is three therefore taking away 3 cups each time food is dispensed aka -3n. 24 represents the starting point. 21+3=24
Related Questions
PLEASE HELP!
Equation: 4(x-6)-8=5(x-7)-x
Answer choices:
A. 0
B. All real numbers
C. No solution
D. Non of the above
I chose C but I wanted to get some confirmation. Thanks!
Answers
Answer:
0, it has no solution.
Step-by-step explanation:
What is the image point of (-8, 7) after a translation right 5 units and up 5 units?
Answers
Answer:
-11,11
Step-by-step explanation:
JUst add 5 to both.
Is - 60 a solution of 1/12*=5?
Answers
Answer:
No -60 is not a solution
Step-by-step explanation:
x = 5/12 = 2.400
-60 is not a solution of 5/12, or 1/12*=5.
Hope I helped.
Please help please
Answers
Answer:
1.) supplementary m<1+m<2=180 and m<2+m<3=180
2.) congruent, supplementary
Step-by-step explanation:
the answers are in this order above
HURRY ON A TIMER PLEASE HELP
which shows all the like terms in the expression
Answers
Answer:
the second one -3and1 :4x and 7x
Step-by-step explanation:
Answer:
-3 and -1; 4x and 7x
Step-by-step explanation:
like terms are the numbers with the same variable
eg. 4x^2 and 6x aren't like terms, but 2x^4 and 3x^4 are
...................................
Answers
Answer:
What? lol
Step-by-step explanation:
Answer:
........................?
Step-by-step explanation:
Determine whether a statement is True or False. If it is False, provide an explanation or give an example:
Answers
Complete Question:
Determine whether the statement is true or false. If it is false, provide an explanation or give an example.
If f is decreasing on [a,b] then the minimum value of f(x) on [a,b] is f(a)?
Answer:
False
Step-by-step explanation:
Given
[a,b]
Where f(x) is decreasing
Required
Is the minimum f(a)?
This statement is false and it is proved using the following illustration
Take f(x) to be
[tex]f(x) = -2x[/tex]
The above represents a decreasing function because:
f(x) decreases as x increases
Having said that:
Assume [a,b] is:
[tex][a,b] = [2,5][/tex]
Substitute the value of a i.e. 2 for x in f(x)
[tex]f(2) = -2 * 2[/tex]
[tex]f(2) = -4[/tex]
Substitute the value of b i.e. 5 for x in f(x)
[tex]f(5) = -2 * 5[/tex]
[tex]f(5) = -10[/tex]
Notice that f(b) < f(a) i.e. -10 is less than -4
Hence:
f(x) is minimum at f(b)
Conclusively, the statement is false
I need to find what the square root is to 19,478,730. my teacher literally put that. help
Answers
Answer: 4413.5
Step-by-step explanation:
4413.47142 if you need to be exact
Jordan says that 6 ÷ 1/2 =3. Is he correct
Answers
Answer:
No it is 12
Step-by-step explanation:
Answer:
No
Step-by-step explanation:
6 ÷ 1/2 = 12
(1/2 = 0.5)
6 ÷ 0.5 = 12
Check you answer.
0.5 x 12 = 6
So Jordan is incorrect.
The correct answer is 12
Hope this helped :)
Please consider Brainliest :)
At a school, there are 120 athletes. The ratio of boy athletes to giri athletes is 3:5. How many of the athletes are girls?
А
75
B
45
с
24
D 5
Answers
Answer:
a
Step-by-step explanation:
because there are over half girls and half of 120 is 60 and 75 is over half
The equations of sides of a triangle are 2x-3y+5=0, 2x+y=7 and 2x+5y=3. Find the coordinates of the vertices.
Answers
Answer:
Vertices A B y C
A ( 2 , 3 ) B ( -1 , 1 ) C ( 3, 1 )
Step-by-step explanation:
We have to solve a two-equation system, by pair of equations as follows
equation (1) 2x - 3y + 5 = 0
equation (2) 2x + y -7 = 0
Solving this system we find let´s say vertex A
0x - 4y +12 = 0 y = 3
Then x ?
2x - 3y + 5 = 0
2x - 9 + 5 = 0 ⇒ 2x = 4 x = 2
Then vertex A ( 2 , 3 )
From equation (1) and (3)
2x - 3y + 5 = 0
2x + 5y - 3 = 0
Agan subtracting (1) - (2)
0x -8y + 8 = 0
y = 1 and
2x + 5y = 3
2x + 5 = 3
2x = -2
x = -1
Vertex B ( -1 , 1 )
Finally from equation (2) and (3) we get the third vertex C
2x + y - 7 = 0
2x + 5y - 3 = 0
0x -4y -4 = 0
y = 1
2x + y = 7
2x + 1 = 7
2x = 6
x = 3
C ( 3 , 1 )
Sam is investing his money. He thinks that he should make $8 for every $100 he invests. How much does he expect to make on an investment of $1500?
Answers
Answer:
$120
Step-by-step explanation:
Happy almost halloween!
I want the answer of this question
Answers
Answer:
42sq . units
Step-by-step explanation:
To get the width of the shaded rectangle, subtract 2(0.5) from the length of the other rectangle bounding it ( 7cm).
Multiply the length and width together to get the area .
Answer: 42 sq. Units
Step-by-step explanation: i got it right.
Which of the following have a value equal to |37|? Select all that apply.
A. –37
B. |–37|
C. 0
D. –(–37)
E. 37
Answers
Answer:
B, D, E
Step-by-step explanation:
Absolute value is always positive so the absolute value of 37 is 37.
and |-37| would equal 37.
HOpe this helps!!
The population of weights of a particular fruit is normally distributed, with a mean of 464 grams and a standard deviation of 6 grams. If 27 fruits are picked at random, then 2% of the time, their mean weight will be greater than how many grams?
Answers
Answer:
If 27 fruits are picked at random, then 2% of the time, their mean weight will be greater than 466.37 grams
Step-by-step explanation:
Mean = [tex]\mu = 464[/tex]
Standard deviation =[tex]\sigma = 6[/tex]
We are supposed to find If 27 fruits are picked at random, then 2% of the time, their mean weight will be greater than how many grams i.e.P(X>x)=0.02
The mean weight is in the highest 2%, you want to go to a z-table and find the z-score that where the area to the left of the curve is closest to 0.98.
n = 27
Refer the z -table
P(Z>x)=2.06
[tex]\frac{x-\mu}{\frac{\sigma}{\sqrt{n}}}=2.06\\\frac{x-464}{\frac{6}{\sqrt{27}}}=2.06\\x-464=2.06 \times \frac{6}{\sqrt{27}}\\x=(2.06 \times \frac{6}{\sqrt{27}})+464\\x=466.37[/tex]
So, If 27 fruits are picked at random, then 2% of the time, their mean weight will be greater than 466.37 grams
What is the slope of the line shown below? 1/6 -5/-7
Answers
Answer: C. 13/6
Step-by-step explanation:
The slope is always rise over run. So when going from the coordinate (-5,-7) to the coordinate (1,6) we go up 13 then go to the right 6. And since we went up and to the right it is a positive slope.
PLEASE HELP MATH!!!1
Answers
the y> 5/4x - 6 is the one that crosses at -6 on the y-axis. the > indicates that you shade ABOVE it, so the left side would also be shaded because it has a positive slope.
so whatever point is in both of those shaded areas would satisfy both inequalities
Low‑density lipoprotein, or LDL, is the main source of cholesterol buildup and blockage in the arteries. This is why LDL is known as "bad cholesterol." LDL is measured in milligrams per deciliter of blood, or mg/dL. In a population of adults at risk for cardiovascular problems, the distribution of LDL levels is normal, with a mean of 123 mg/dL and a standard deviation of 41 mg/dL. If an individual's LDL is at least 1 standard deviation or more above the mean, he or she will be monitored carefully by a doctor. What percentage of individuals from this population will have LDL levels 1 or more standard deviations above the mean?
Answers
Answer:
The percentage of individuals from this population will have LDL levels 1 or more standard deviations above the mean is 16%.
Step-by-step explanation:
Let X represent the LDL levels.
It is provided that [tex]X\sim N(123, 41^{2})[/tex].
Compute the probability that a randomly selected individual is will have LDL levels 1 or more standard deviations above the mean as follows:
[tex]P(X\geq \mu+\sigma)=P(X\geq 123+41)[/tex]
[tex]=P(X\geq 164)\\\\=P(\frac{X-\mu}{\sigma}\geq \frac{164-123}{41})\\\\=P(Z>1)\\\\=1-P(Z<1)\\\\=1-0.84134\\\\=0.15866\\\\\approx 0.16[/tex]
Thus, the percentage of individuals from this population will have LDL levels 1 or more standard deviations above the mean is 16%.
What is the solution to the following question 2^ -3x+2=0
Answers
Answer: x= −16
Step-by-step explanation:
Three Rivers publishes a catalog each year, last year it had 198 pages back and front. We
print 150 copies. How much does it cost the college if a ream, 500 pages, cost
$7.40 each?
Answers
Answer:
$222
Step-by-step explanation:
We need to find how many ream was used in the printing forts, to determine how much the College spent.
The catalog is 198 pages, back and front, which means, 1 leaf will take 2 pages. Therefore, 99 pages were used in printing 1 copy of the catalog.
No of pages that were used in printing 150 copies = 150*99 = 14,850 pages.
If 500 pages = 1 realm, therefore,
14,850 pages = 14,850/500 = 29.7.
Since, it's a full team that is sold, let's approximate the number of reams bought to be 30 reams.
If 1 ream costs $7.40, therefore,
30 reams = 30*7.40 = $222
discrimination from teachers to students
Answers
Answer:
agree
Step-by-step explanation:
When graphing a polynomial function, what determines what the graph will look like at the far left side? Explain your answer.
Answers
Answer:
2
Step-by-step explanation:
this will help i think this will be the answer i am not sure
Hey guys I need help. Care to be kind? :(
Answers
9514 1404 393
Answer:
$77.94
Step-by-step explanation:
The (signed) sum of charges and credits results in the total due:
$82.04 -4.10 = $77.94 . . . amount due
Jill is building a wooden-raised bed garden for her vegetables. She wants the frame to have dimensions x feet by x + 3 feet. If she wants the garden to have a maximum area of 50 square feet, what are the possible values of x?
[−8.728, 5.728]
[1, 5.728]
[−3, 5.728]
(0, 5.728]
Answers
Answer:
its d
Step-by-step explanation:
thank the guy up top
Using quadratic formula, the possible values of x lies in [0, 5.728].
What is a quadratic formula?The quadratic formula is a formula that provides the solution to a quadratic equation.
[tex]x = \frac{ -b \pm \sqrt{b^2 - 4ac}}{2a} \\\\when\ ax^2 + bx + c = 0\\a, b, c = constants, \\where\ a != 0\\x= the\ unknown[/tex]
The equation in the given question is-
[tex](x+3)(x) < =50\\\\x^{2} +3x-50 < =0\\\\x^{2} +3x-50=0\\\\x = \frac{-3 +\sqrt{9+4*50} }{2} ,\frac{-3 -\sqrt{9+4*50} }{2}\\\\x = \frac{-3 +\sqrt{209} }{2} ,\frac{-3 -\sqrt{209} }{2}\\\\\\x = -8.728, 5.728\\\\x =[-8.728, 5.728][/tex]
But, x cannot be negative so x lies in [0, 5.728].
Learn more about quadratic formula here
https://brainly.com/question/2615966
#SPJ2
A power boat travels along a river in which the flow of water is at a constant in one direction. If the boat travels at 40 mph downstream and 30 mph upstream. What is the speed of the boat in still water and the speed of the river?
Answers
Answer:
im guessing 35mph
Step-by-step explanation:
Answer:
30 mph and 40 mph
Step-by-step explanation:
It is the same with the speed and water.
A furniture factory makes 250 tables each day. Create an equation that can be used to find the total number of tables made, y, after x days.
Answers
Answer:
The equation would be y=250x
Step-by-step explanation:
They are making 250 tables a day (x)
we put the x next to the 250 because that number will change everyday.
y would equal our total
Unit 4: Lesson 9: Parallel and Perpendicular Lines Unit Test Parallel and Perpendicular Lines does anyone have the answers for this 13 question test ??
Answers
Answer:
I need these answers and the ones he put in in the comments are all wrong
Solve: x^2=10
A) x= +5
B) x= +100
C) x= +3.5
D) x= 10 squared
Answers
Answer:
D) x=√10
Step-by-step explanation:
√(10)=3.16(approximately )
Triangle BIG is similar to triangle MOP . Find v .
Answers
Answer:
63:42
so this is
3:2
[tex] \frac{33}{3} = \frac{v}{2} [/tex]
[tex]v = \frac{2 \times 33}{3} = \frac{66}{3} = 22[/tex]
v=22
The value of v should be considered as the 22 when the Triangle BIG is similar to triangle MOP.
Calculation of the value of v:Since as per both the figures we can write the ratio like 63:42 so it can be like 3:2
So the calculation could be done below
[tex]33 \div 3 = v \div 2\\\\v = 2 \times 33 \div 3\\\\= 66 \div 3[/tex]
= 22
Hence, The value of v should be considered as the 22 when the Triangle BIG is similar to triangle MOP.
Learn more about triangle here: https://brainly.com/question/9721655
Pls help
8th grade math
Answers
b. $50
c. y= 50x + 500
Answer:
per night 50 cost
Step-by-step explanation:
sorry but i goo
