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
Write the equation of the line in fully simplified slope-intercept form. Y intercept is -6
Answers
Answer:
y = 2/3x-6
Step-by-step explanation:
up 2, right 3
Genny's monthly salary was $2000in November. In December she received a 20% raise. In January, what was Genny's monthly salary?
Answers
Answer:400
Step-by-step explanation:
10%= 200
x2=400
The table shows the decay rate for a certain radioactive material over time. In this context, what does the y-intercept represent?
At 100 hours, there are 0 grams of the substance remaining.
At 100 hours, there are 100 grams of the substance remaining.
At 0 hours, there are 100 grams of the substance remaining.
At 0 hours, there is 1 gram of the substance remaining.
Answers
Answer:
At 0 hours, there are 100 grams of the substance remaining.
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
I just did it on ed
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?
Answers
Answer:
x less than or equal to 16.6
Step-by-step explanation:
50 divided by 3 is 16.6
since Jill wants 50 square feet as the maximum area x can be less than 16.6.
Grayson is planning to be out of town for the day, so he asks a friend to dog-sit his 3 dogs.
Each dog eats 0.5 pounds of food every day. If dog food is sold in 12-ounce cans, how many
cans should Grayson leave for the time he is away?
Answers
Answer:
1 12 ounce can would last 18 days, I don't know how long he is planning on leaving his dogs
Evaluate the expression when m=8 and n=9.
4n+m
Answers
Answer:
44
Step-by-step explanation:
4(9) + 8
=36 + 8
=44
solve for a. 15-a/12=22
Answers
Answer:
15-22=a/12
-7=a/12
12(-7)=a
-84=a
Step-by-step explanation:
I need the answers to all of them pleaseeee
Answers
Answer:
I think it is 43167 but am not really sure
Answer:
HOW DID YOU DO THAT? BECAUSE I CANT DO THAT 3 PIC
If I type 800 words in 16 minutes,
how many words do I type per minute
Answers
Answer:
50 per minute
Step-by-step explanation:
Answer:
The answer is 50 words per minute
Step-by-step explanation:
16x50=800
800/16=50
HOPE THIS HELPS!!
Solve the inequality, m+15<6 ?
Answers
Answer:
m < -9
Step-by-step explanation:
m+15<6
Subtract 15 from each side
m+15-15<6-15
m < -9
Can someone explain letter c?! From where did 13 come from there’s no 13 in the question..
Answers
Answer:
Seems correct to me. I color coded the various terms.
Step-by-step explanation:
[13x³ came by adding 9x³ and 4x³]
12x²+8x-5x+9x³+2x²+4x³(9x³+4x³)+(12x²+2x²)+(8x-5x)13x³+14x²+3x10+ Points)
Which is the graph of a proportional relationship?
Answers
Answer:
A
Step-by-step explanation:
The graph representing a proportional relationship is a straight line graph passing through the origin.
This is shown in graph A
The length of a rectangle is increasing at a rate of 7 cm/s and its width is increasing at a rate of 3 cm/s. When the length is 11 cm and the width is 5 cm, how fast is the area of the rectangle increasing?
Answers
Answer: 89 cm^2/minute
Step-by-step explanation:
Initial Area: 11 x 5 = 55 cm^2
Area after 1 minute: 18 x 8 = 144 cm^2
The area of the triangle is increasing by
Colin invests £980 into his bank account. He receiv 0.3% per year simple interest. How
much will Colin have after 7 years? Give your answer to the nearest penny where appropriate.
Answers
Answer: 1,000.77
Step-by-step explanation:
After 1 year: 980 + 0.3% = 982.94
After 2 years: 982.94 + 0.3% = 985.89
After 3 years: 985.89 + 0.3% = 988.85
After 4 years: 988.85 + 0.3% = 991.82
After 5 years: 991.82 + 0.3% = 994.80
After 6 years: 994.80 + 0.3% = 997.78
After 7 years: 997.78 + 0.3% = 1,000.77
Brainliest?
help me too with this one PLEASE
Answers
Answer: -___-
Step-by-step explanation:
The ratio of two numbers is 4:9. When 5 is subtracted from each of them ,the now 38. Find the numbers
Answers
Given : The ratio of two numbers is 4:9. When 5 is subtracted from each of them the ratio is 3:8. Find the numbers
Need to Find : The numbers
Solution : According to the question here we are given that the ratio is 4:9 and 5 is subtracted from each of these ratios after which the ratio becomes 3:8. Let's follow the steps to get the answer.
Let the constant multiple be x
Now, according to the question:
The numbers are 4x and 9x
As we get to know that each of them is subtracted by 5. So,
1st number = 4x - 5
2nd number = 9x - 5
New ratio becomes 3:8
⇢ (4x - 5)/(9x - 5) = 3/8
⇢ 8(4x - 5) = 3(9x - 5)
⇢ 32x - 40 = 27x - 15
⇢ 32x - 27x = - 15 + 40
⇢ 5x = 25
⇢ x = 25/5
⇢ x = 5
Now, getting the numbers. Instead of x we need to put 5 and multiply with the constant.
1st number = 4x = 4(5) = 20
2nd number = 9x = 9(5) = 45
∴ The numbers are 20 and 45 respectively.
Potential energy is described as
Question 1 options:
Stored energy
Decreasing energy
Movement
Friction
Answers
Answer:
Stored energy
Step-by-step explanation:
Help meeeeeeeeeeeeee asapppp
Answers
How many solutions are there to the equation below?
5x + 15 = 5(x+4)
Answers
Answer:
I think it 2 solution to the problem you can add or multiple
if x+y=5,and xy=10, find the value of x2+y2
Answers
Answer:
Step-by-step explanation:
x+y=10-----(1)
xy=5------(2)
dividing (1) by(2)... we get!
x/y+ y/x=10/5
=>2
we have :[tex]x^{2} +y^{2} = x^{2} +y^{2} + 2xy -2xy = (x+y)^{2} -2xy = 5^{2} -2.10 =25-20=5[/tex]
ok done. Thank to me :>
What is the equation to the parallel of 7x-y=8 passing through the point (-2,3)
Answers
Answer:
y =7x + 17
Step-by-step explanation:
7x-y=8
y = 7x - 8......convert to slope intercept form
m = 7
parallel lines have the same slope
put in point slope form using the points of the equation of the line that you want to find
y - 3 = 7(x+2)
y -3 = 7x + 14.........distribute
y = 7x +14 + 3.........add 3 to both sides
y = 7x +17................simplify
Help I need help ASAP
Answers
do the brackets first because of bidmas the brackets = 32 and 32x32=1024
PLZZZZZZZZZZZ HELP 1000 POINTS AND BRAINLIEST
Answers
Answer:
you would have to subtract the points a and b to get question a. And for c, you would have to mark it on a graph in order for it to show. I am pretty sure this is how you do it. Sorry I tried my best, plz don't come at me if it is wrong.
Step-by-step explanation:
Answer:
you need to subtract the points a and b to get the question a. for c, you need to mark it on a graph in order for it to show. I sure this is how you do it
i tried my best
hope it helps
in the equation f(x) = 5x + 6,6 is called?
Answers
Answer:
the y-intercept
Step-by-step explanation:
Step-by-step explanation:
Since f(x) = 5x + 6 is in the slope-intercept form (y = mx + c), then that would make 6 the y-intercept.
Which linear equation represents the graph?
A) y = 7x + 3
B) y = 7x + 10
C) y = 1/7x+3
D) y = 1/7x+10
Answers
Answer:
y = 7x + 3
Step-by-step explanation:
A slope of 1/7 will give you a line that is not very steep. Therefore C and D is not the answer.
Now look at A and B. Check point (1, 10) into equations A and B because this point is on the given graph.
y = 7x + 3 y = 7x + 10
y = 7(1) + 3 y = 7(1) + 10
y = 7 + 3 y = 7 + 10
y = 10 (1, 10) y = 17 (1, 17)
if p(x)=x^2+x+1 and q(x)=3x^2-1, find p(7)
Answers
Answer:
p(7) = 57
Step-by-step explanation:
Because this is a function, all you have to do is input 7 for x like so:
p(x)=x^2+x+1 ---------------> p(7)=7^2+7+1
so 49 + 8
= 57
1) 1/2 × 4 × 2/3
2) 6 × 2/3 × 1/4
3) 8 × 2/5 × 10/12
4) 5/6 × 2/5 × 10
5) 1/9 × 3/4 × 1
Answers
Answer:
1/2 times 4 4/2 2*2/3 4/3
What 5,727 dived by 83
Answers
Answer:
415
____
727
Step-by-step explanation:
Answer:
69
Step-by-step explanation:
7.
Rewrite the expression (4x² + 5x) ²-5(4x ² + 5x) – 6 as a product of four linear factors.
Answers
Answer:
(x+2)(x+1)(4x+1)(4x-3)
Step-by-step explanation:
(4x² + 5x)² - 5(4x² +5x) - 6
= (4x² + 5x)² - 6(4x² +5x) + 1(4x² +5x) -6
= (4x² + 5x)(4x² +5x -6) +1 (4x² +5x -6)
= (4x²+5x-6)(4x²+5x+1)
= (4x² + 8x - 3x - 6)(4x² + 4x + x +1)
= (4x(x + 2) - 3(x + 2))(4x(x+1) +1(x+1))
= (x+2)(4x-3)(x+1)(4x+1)
Solve.
1/3(x+3/5)=3
x=36/5
x=42/5
x=48/5
Answers
Answer:
x = 42/5 is the answer to this question
Option B is correct, the solution to the equation is x = 42/5.
The given equation is 1/3(x + 3/5) = 3.
We have to solve for x:
x is the variable in the equation.
Multiply both sides by 3 to get rid of the fraction:
1/3(x + 3/5) × 3 = 3 × 3
(x + 3/5) = 9
Subtract 3/5 from both sides to isolate the x term:
(x + 3/5) - 3/5 = 9 - 3/5
x = 9 - 3/5
Now, to combine the terms on the right side:
x = 45/5 - 3/5
x = 42/5
Therefore, the solution to the equation is x = 42/5.
To learn more on Equation:
https://brainly.com/question/10413253
#SPJ6