Answers
Answer:
A) 30 minutes after the air conditioner started to cool the house, the temperature inside the house has dropped to 76°F
B) [tex]f(x)=-0.4x+88[/tex]
Step-by-step explanation:
A)
In this problem, f(x) represents temperature, in degrees Fahrenheit, of Sam’s house x minutes after the air conditioner started to cool the house.
So we have:
x = minutes after the air conditioner started to cool the house
f(x) = temperature
Here we want to find what is the meaning of
[tex]f(30)=76[/tex]
Which implies that:
[tex]x=30[/tex], which means that 30 minutes have passed after the conditioner has started to cool the house
[tex]f(x)=76[/tex], which means that the temperature of the room at that time is 76°F
So, the interpretation of f(30) =76 is that:
"30 minutes after the air conditioner started to cool the house, the temperature inside the house has dropped to 76°F"
B)
Here we want to write explicitly a function that tells us how the temperature inside the house varies as a function of x, the number of minutes passed after the air conditioner has turned on.
We know the following information:
- At time x = 0, the temperature inside the house is 88°F
- At time x = 30 min, the temperature inside the house is 76°F
We can assume that the temperature inside the house changes linearly with time; so, we can describe the temperature function with the equation of a line:
[tex]f(x)=mx+q[/tex]
where
[tex]q[/tex] is the value of the temperature at x = 0, so q = 88
m is the rate of change of the temperature
The rate of change can be found by calculating the rate of change of the temperature with respect to the change in time; so we find:
[tex]m=\frac{76-88}{30-0} =-0.4[/tex]
which means that the temperature decreases by 0.4°F every minute. So, the function can be written as
[tex]f(x)=-0.4x+88[/tex]
Related Questions
The vertices of a feasible region are (14, 2), (0, 9), (6, 8), and (10, 3). What is the maximum value of the objective function P if P = 180x 250y?.
Answers
The maximum value of the objective function is 3080
The vertices of a feasible region are given as
(14, 2), (0, 9), (6, 8), (10, 3)
The objective function is given as:
[tex]\mathbf{P = 180x + 250y}[/tex]
Substitute the ordered pairs in the objective function
Point (14,2)
[tex]\mathbf{P = 180 \times 14 + 250 \times 2}[/tex]
[tex]\mathbf{P = 3020}[/tex]
Point (0,9)
[tex]\mathbf{P = 180 \times 0 + 250 \times 9}[/tex]
[tex]\mathbf{P = 2250}[/tex]
Point (6,8)
[tex]\mathbf{P = 180 \times 6 + 250 \times 8}[/tex]
[tex]\mathbf{P = 3080}[/tex]
Lastly, we have point (10,3)
[tex]\mathbf{P = 180 \times 10 + 250 \times 3}[/tex]
[tex]\mathbf{P = 2550}[/tex]
The maximum value of P is calculated to be 3080.
Hence, the maximum value of the objective function is 3080
Read more about objective functions at:
https://brainly.com/question/11206462
Answer:
3080 is the answer ^
Step-by-step explanation:
X+y=2 x-y=4 solve using elimination
Answers
(3, -1) Looking at the two equations I see that you have a+ y in equation one and − y in equation two. By adding the two equations together I will eliminate the y variable and then you can solve for x.
Expand & simplify
(4x + 7)(x – 5)
Answers
Answer:
(4^3−13−35)
Step-by-step explanation:
this ans
I used distributive prop.
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2
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1
,
y
1
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=
(
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3
,
4
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Answers
Can someone help:(( graph y=2x
Answers
Answer:
Look at the attached screenshot
Step-by-step explanation:
Slope is 2.
Since y-intercept is not given, we can assume that it is 0.
Answer:
Step-by-step explanation:
Make a table of points for y = 2x, and then plot these points, and finallyl draw a line through the points:
x y
0 0
2 4
3 6 (and so on).
Plot this (0, 0) (it's the origin). Next plot either (2, 4) or (3, 6) (or both). Then draw a line through these points.
how do you subtract fractions with like numerators
Answers
Answer:
Step-by-step explanation:
To SUBTRACT fractions with like or the same denominator, just subtract the numerators then copy the common denominator. Always reduce your final answer to its lowest term.
Get it right and you get the brainliest. Copy the lines and draw on them to complete the assignment.
Answers
Answer:
Step-by-step explanation:
What is an equation of the line that passes through the points (0, 0) and (- 4, - 5) ?
Answers
Answer:
y=5/4x
Step-by-step explanation:
(A fraction)
Stella is ordering a taxi from an online taxi service. The taxi charges $3 just for the pickup and then an additional $1.75 per mile driven.
Answers
Answer:
and wht is the question?
PLS HELPP me asap no bots
Answers
Cutting in one minute = 105 ÷ 3 = 35 cuts
Now for six machine = 35 × 6 = 210 parts.
So, the option C. 210 parts is correct answer.
PART BAs, 20 × 3 = 60 seconds
Parts can be stamped in one minute = 24 × 3 = 72
So, time required [tex] = \frac{4320}{72} \\ = 60 \: minutes[/tex]
So, the option D. 60 minutes is c correct answer
you're so cool! I hope you have an awesome day!
Answers
Answer:
The functions each have a positive Slope
a.)True, False
Step-by-step explanation:
Function A Slope: (y2-y1)/(x2-x1) = (7-3)/(2-1) = 4
Function B Slope: Count Four Boxes up from the 2 intercepts and then 2 over --> 4/2 = 2
These are both positive but 4 does not equal 2
a.) We have just proved that they have different slopes now we must determine if they have the same b. Because we know the slope of Function A we can simply move backward to get to x=0
When X=0 y= 3-4 = -1 And because in Function B we can clearly see the b at y=4 this is false.
Hope this helps and makes you have an Awesome Day!
Four friends are creating posters for their presentations, which will be delivered in different locations. Which person should create the largest posters
Answers
Answer:
Lindsey, who is delivering her speech in a large auditorium
Step-by-step explanation:
Jin, who is delivering her speech to a small group sitting around a table
Lindsey, who is delivering her speech in a large auditorium
Luke, who is delivering his speech in a typical classroom
Jordan, who is delivering his speech in a small meeting room
a Members of a soccer team raised $1530.50 to go to a tournament. They rented a bus for $1164.50 and budgeted $30.50 per player for meals. Write and solve an equation which can be used to determine x, the number of players the team can bring to the tournament.
Answers
The number of players that can be taken to the tournament is 12 players.
The equation that can be used to represent the total amount spent by the soccer team is:
Total amount spent = cost of rented bus + (cost per meal x total number of players)
$1530.50 = $1164.50 + $30.50x
Where: x = total number of player
In order to determine the value of x, the following steps would be taken:
Combine similar terms
$1530.50 - $1164.50 = $30.50x
$366 = $30.50x
Divide both sides of the equation by 30.50
x = $366 / $30.50
x = 12 players
A similar question was answered here: https://brainly.com/question/22358515
5x+2y<8 graph the inequality
Answers
(Please please, actually type the answer and dont send it in a file because it wont work)
A stone pyramid in Egypt has a square base that measures 154 m on each side. The height is 92 m. What is the volume of the pyramid?
Answers
Answer: like 36 i think
Step-by-step explanation:
Answer:
14168
Step-by-step explanation: just multiple
[tex]\sf 78-2x=87-3x[/tex]
Answers
Answer:
x = 9
Step-by-step explanation:
78 - 2x = 87 - 3x
3x - 2x = 87 - 78
x = 9
x = 9
Step-by-step explanation:
=> 78-2x= 87 -3x
=> 78-87=-3x+2x
=> -9 = -x
=> x = 9
HELP WHAT IS 22 + 5/8 x -1/2
I will give brainliest!
Answers
Answer:
181/8
Step-by-step explanation:
Answer:
5x/8 + 43/2
Explanation:
The answer is the exact value.
I need #1 done (show work) will give brainliest
Answers
Step-by-step explanation:
Statement Reason
∠5 and ∠7 are vertical angles Vertical angles theorem
m∠5 = m∠7 Definition of vertical angles
m∠5 = -2(3x - 4), m∠7 = 3(x - 3) - 1 Given
-2(3x - 4) = 3(x - 3) - 1 Substitution property of equality
-6x + 8 = 3x - 9 - 1 Distributive property
3x + 6x = 8 + 10 Addition property
9x = 18 Addition property
x = 18/9 Division property
x = 2 Proved
Pls help asap, whoever answers gets brainliest, 5 stars, and a thanks!
Answers
[tex]\\ \sf\longmapsto 9\dfrac{7}{11}-(5+1\dfrac{1}{2})[/tex]
[tex]\\ \sf\longmapsto4 \dfrac{7}{11}-1\dfrac{1}{2}[/tex]
[tex]\\ \sf\longmapsto 4\dfrac{14}{22}-1\dfrac{11}{22}[/tex]
[tex]\\ \sf\longmapsto 3\dfrac{3}{22}[/tex]
Done
When 3(2x + 9) = 4x - 7 is solved for X, the solution is
1
3.
is 17
4
xs-17
Answers
[tex]\\ \sf\longmapsto 3(2x+9)=4x-7[/tex]
[tex]\\ \sf\longmapsto 6x+27=4x-7[/tex]
[tex]\\ \sf\longmapsto 6x-4x=-7-27[/tex]
[tex]\\ \sf\longmapsto 2x=-34[/tex]
[tex]\\ \sf\longmapsto x=17[/tex]
expand and simplify 3(x+3) - 2(x+2)
Answers
Step-by-step explanation:
3(x+3) - 2(x+2) =
3x + 9 - 2x - 4 =
x + 5
always remember the rules when combining signs and operations (therefore it is -4 at the end after doing the multiplications) :
++ = +
+- = -
-+ = -
-- = +
3) Which table shows y as DIRECTLY PROPORTIONAL to x?
Α)Α
B) B.
C C
D) D
Answers
Answer:
I think the answer will be A
Millie has a bank account balance of $1,497. Each week, her balance changes by - $83. She wants to keep the balance above $750. How many weeks will Millie's balance remain above $750?
Millie's account balance will remain above $750 area weeks.
Fewer than 9
At least 9
Greater than 9
Answers
Answer:
Step-by-step explanation:
AT LEAST 9
Millie's account will be above $750 for weeks greater than 9.
What is inequalities?A relationship between two expressions or values that are not equal to each other is called inequality.
Given that, Millie has a bank account balance of $1,497. Each week, her balance changes by - $83. She wants to keep the balance above $750.
Establishing an inequality,
750 > 1497 - 83x
Where, x is the number of weeks.
On solving, we get,
747 > 83x
x < 9
Hence, Millie's account will be above $750 for weeks greater than 9.
For more references on inequalities, click;
https://brainly.com/question/28823603
#SPJ1
2 bags of cement cost 3500 how many bags can one buy with 17500
Answers
Answer:
10
Step-by-step explanation:
2 → $3500
? → $17500
? = 17500 x 2 / 3500 = 3500/3500 = 10
OR
3500 → 2
3500/2 = 1750
17500/1750 = 10
Therefore, whatever method you use, you will get 10 as an answer.
17500 / 1750 = 10
10 bags
How many times does it intersect on the graph? y=x^2+3x-2, y-x=4
Answers
I need it right now .
Answers
Answer:
y=9
a=1.5
n=74
v=8
k=11
b. a=6.5
c. n=-226
d. v=12
e. k=11
if 3/ 4 part of the total number of students in a class are girls how much percent are boys
Answers
Answer:
1
Step-by-step explanation: because 3 are girls and 3 + 1 equals 4 its 1
Answer:
1/4 or 25% are boys
Step-by-step explanation:
3/4 + 1/4 = 4/4
75% + 25% = 100%
Barbara plotted an elevation below sea level on a number line and labeled it A. She plotted Point B above 0, a distance that is exactly as far from 0 as Point A is. Explain what you know about Point B.
Answers
Answer:
B is twice as far away from point A as it is from point 0
I hope this helps.
please help me with this soon much appreciated.
Answers
Answer:
1 : 2
Step-by-step explanation:
this is a 30-60-90 triangle which is a special right triangle. the ratio of the sides is x: x*sqrt(3): 2x, in the order short leg: long leg: hypotenuse. so the ratio of the short leg to the hypotenuse is x:2x or 1:2
what is the square root of25. To guys who steal my points
