Given:
Temperature at 10:00 am = 8 degrees Fahrenheit
Temperature drops by 3 degrees Fahrenheit every hour.
To find:
The temperature by 2:00pm of the same day.
Solution:
Let y be the temperature after x hour after 10:00 am.
The temperature at 10:00 am is the initial temperature.
So, y-intercept of the linear function is 8.
Temperature drops by 3 degrees Fahrenheit every hour.
So, slope of linear function is -3. Here, negative sign represents the decrease in the temperature.
Slope intercept form of a linear function is
[tex]y=mx+b[/tex]
where, m is slope and b is y-intercept.
Substitute m=-3 and y=8 in the above equation.
[tex]y=-3x+8[/tex]
Difference between 2:00pm and 10:00 am is 4 hours. So, substitute x=4 in the above equation.
[tex]y=-3(4)+8[/tex]
[tex]y=-12+8[/tex]
[tex]y=-4[/tex]
Therefore, the temperature by 2:00pm of the same day is -4 degrees Fahrenheit.
Find the coordinates of the focus and equation of the directrix for the parabola given by y2 = −4x. The general formula for this parabola is y2 = 4px. Therefore, the value of p is . The coordinates of the focus are . The equation of the directrix is .
Answer:
The coordinates of the focus are [tex]F(x,y) = (-1,0)[/tex] anf the equation of the directrix is [tex]x = 1[/tex], respectively.
Step-by-step explanation:
Let be [tex]y^{2} = -4\cdot x[/tex], which represents a parabola with a horizontal axis of symmetry. To find the location of the focus and to determine the equation of the directrix we must find the distance between focus and vertex ([tex]p[/tex]), dimensionless, a value than can be extracted from the following definition:
[tex](y-k)^{2} = 4\cdot p \cdot (x-h)[/tex] (Eq. 1)
Where:
[tex]x[/tex] - Independent variable, dimensionless.
[tex]y[/tex] - Dependent variable, dimensionless.
[tex]h[/tex], [tex]k[/tex] - Coordinates of the vertex, dimensionless.
By direct comparison, we get the following coincidences:
[tex]h = 0[/tex]
[tex]k = 0[/tex]
[tex]4\cdot p = -4[/tex] (Eq. 2)
From (Eq. 2) we get that distance between focus and vertex is:
[tex]p = -1[/tex]
Which is consistent with the fact parabola has an absolute maximum.
Now, the location of the focus is:
[tex]F(x,y) = (h+p, k)[/tex] (Eq. 3)
If know that [tex]h = 0[/tex], [tex]k = 0[/tex] and [tex]p = -1[/tex], coordinates of the focus is:
[tex]F(x, y) = (0-1, 0)[/tex]
[tex]F(x,y) = (-1,0)[/tex]
And the equation of the directrix is represented by:
[tex]x = -p[/tex] (Eq. 4)
([tex]p = -1[/tex])
[tex]x = 1[/tex]
The coordinates of the focus are [tex]F(x,y) = (-1,0)[/tex] anf the equation of the directrix is [tex]x = 1[/tex], respectively.
Answer:
The general formula for this parabola is y2 = 4px.
Therefore, the value of p is
✔ –1
.
The coordinates of the focus are
✔ (–1,0)
.
The equation of the directrix is
✔ x = 1
.
Step-by-step explanation:
A specialty shop procures several hats for $5 apiece and offers them to customers for $11
each. What is the mark-up percentage?
Write your answer using a percent sign (%).
ABC is a straight line. which equation can be used to find the measure of the unknown angel?
Answer:
A: 180 -45
Step-by-step explanation:
Since it is a straight angle, it will equal 180 degrees. Since 45 is already taken, u would subtract it from 180.
180-45=135
thus, your answer is 180-45
hope I helped!!!
I need some help with this problem
Directions: Find each missing measure. please help me find T and U
Answer:
m∠U = 54°
m∠T = 72°
Step-by-step explanation:
The triangle shown is an isosceles triangle. Therefore, the 2 sides and angles that are marked must be congruent:
m∠S = m∠U
m∠S = 54°
m∠U = 54°
All angles in a triangle add up to 180°:
m∠S + m∠U + m∠T = 180°
54° + 54° + m∠T = 180°
108° + m∠T = 180°
m∠T = 72°
-38=-6x +4(x-7) simply the answer
Answer:
x=5
Step-by-step explanation:
Answer:
x = 5
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Which situation can be represented by this equation?
16 + 0.55n = 22 + 0.25n
Hurry need help ASAP
HELP ME PLS IT"S DUE TODAY. JUST GIVE ME THE ACTUAL ANSWER IF YOU KNOW IT PLUS ILL GIVE YOU 5 STARS!!!!
Answer:
the answer is we dont know cuz theres no question
ok then it should be the bag wit 8lb
Answer:
Obviously, it's the 8lb bag of dog food because it's the cheapest, but it may vary with the type of animal (a dog in this case).
URGENT: WILL MARK BRAINLIEST
Answer:wait 15 min then I will have thee answer
Step-by-step explanation:
pls help
-10y + 18 = -3(5y - 7) + 5y
what is y?
3
What is the approximate
distance between points
(-7, 2) and (11,-5)?
a) 18.36 units
b) 19.31 units
c) 18.25 units
d) 10.31 units
e) 8.06 units
9514 1404 393
Answer:
b) 19.31 units
Step-by-step explanation:
The distance formula is useful for this.
d = √((x2 -x1)² +(y2-y1)²)
d = √((11 -(-7))² +(-5-2)²) = √(18² +(-7)²) = √373
d ≈ 19.31 . . . units
Why are 0.02 and 0.020 equal?
Answer:
the reason is because the last zero at the end of the second number doesn't equal anything/has no meaning.
I NEED HELP!!!
Convert to find the equivalent rate,
inches
yards
60
min ute
second
Answer:
36 seconds
Step-by-step explanation:
Answer:
Dnbsflvi jvidkdkeicucyccgdmjcjvh
Step-by-step explanation:
Evaluate the equation for the indicated value, f(n)=5n+8 for f(4),
The value of the function f(n)=5n+8 for f(4) will be 28.
What is a function?A function is defined as the expression that set up the relationship between the dependent variable and independent variable.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given function is f(n)=5n+8. The value of the function at equal to 4 will be calculated as below:-
f(n)=5n+8
f(4) = ( 5 x 4 + 8 )
f(4) = 20 + 8
f(4) = 28
Therefore, the value of the function f(n)=5n+8 for f(4) will be 28.
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PLEASE HELP ME WITH THESE 3 QUESTIONS, DUE NOW! WILL GIVE BRAINLIST
QUESTIONS:
1. The seventh grade class held an end of the year dance. Of the 300 seventh graders, 246 decided to attend. What percent of the seventh grade class attended the end of the year dance? *
A. 1.12%
B. 85%
C. 82%
2. A farmer decides to sell 32 pounds of his small 96-pound potato crop. What percent of the crop did he sell? *
A. 33%
B. 30%
C. 3%
3. Tolu is reading a new novel. He has read 173 out of 480 pages. About what percent of the book has he read? *
A. 33%
B. 36%
C. 35%
D. 28%
Answer:
Step-by-step explanation:
i give you an answer and you delete it..? hhh i get that i mighta been wrong ( i forget who was wrong tbh ) but that wasn't very nice-
Suppose that you plan on taking a summer job selling magazine subscriptions. The magazine company will pay you 75 cents for selling the first subscription. For each additional subscription sold, the magazine company will pay you 5 cents more than what was paid for the previous subscription. How much will you earn by selling 150 magazine subscriptions?
Answer:
671.25
Step-by-step explanation:
I need help with the first question
Answer:
Subtract 2k from both sides.
4k−3−2k=2k+5−2k
2k−3=5
Add 3 to both sides.
2k−3+3=5+3
2k=8
Divide both sides by 2.
2k /2 =8/2
k=4
What is the equation of this line
Answer:
y = 1/2x - 3
Step-by-step explanation:
Slope: Up 1 over 2
Y-Int: -3
y=mx+b
how do i write this equation in function notation.
=−2/5+1
Answer:
f(x) = −2/5x + 1
Step-by-step explanation:
when putting an equation in function notation first you must make sure the equation is in slope-intercept form and then you must rewrite the equation but instead of putting y you will replace it with f(x), or g(x), whichever one you are given directions to put it as.
Hope This Helps!
Plz Mark Brainliest!
Idk how to do this?!!
Answer:
no idea you're welcome
Phoebe bought 2/3 of a yard of green ribbon and 1/3 of a yard white ribbon to use on her quilt. She decided to exchange 1/3 yard of white ribbon for 1/3 yard of yellow ribbon. How much white ribbon does phoebe have to use on her quilt?
Answer?!?????????????
Answer:
A i thinkStep-by-step explanation:
Answer:
its c i hope i helped-shelby
Step-by-step explanation:
Can somebody help me on 14?
Answer:
It is the speed changing
Step-by-step explanation:
becauses it is speed vs time
I need answers in 10 minutes, the red ones are for the numbers with no denominator
Answer:
1) .5 2) 1.25
Step-by-step explanation:
lol i don't have time to get the rest but I hope this helps a bit. just remember that you're trying to isolate the variable and find its value. What you do to one side of the equation, do it on the other side of the equal sign
Matter is in a liquid state when its temperature is between its melting point and its boiling point. Suppose that some substance has a melting point of negative 35.84 degrees Upper C and a boiling point of 310.69 degrees Upper C . What is the range of temperatures in degrees Fahrenheit for which this substance is not in a liquid state? (Hint: Upper C equals five ninths left parenthesis Upper F minus 32 right parenthesis ) Express the range as an inequality. Let x represent the temperature in degrees Fahrenheit. What is the range of temperatures for which this substance is not in a liquid state? nothing (Type an inequality or a compound inequality. Simplify your answer. Use integers or decimals for any numbers in the expression. Round to three decimal places as needed.)
Answer:
96.512 °F < x < 591.242 °F
Step-by-step explanation:
We are given;
Melting point = 35.84 °C
Boiling point = 310.69 °C
Now, we are given that formula to convert °C to °F is;
°C = (5/9)°F
Thus if the temperature in Fahrenheit is x, then;
Melting point is; 35.84 °C = (5/9)x°F - "32"
x = ((9 × 35.84)/5) + 32
x = 96.512 °F
Similarly, for Boiling point;
Boiling point is;
310.69 °C = (5/9)x°F - "32"
x = ((9 × 310.69)/5) + 32
x = 591.242 °F
Now, we are told that matter is in its liquid form when it is between melting and boiling point.
Thus, range of x in inequality form is;
96.512 °F < x < 591.242 °F
m BXA = 30° 20', m CXB = 40° 35'
m CXA
°
'
Answer:
Please make me brain list
Step-by-step explanation:
If f(x)=−6x+4, Find f(x)=46
Answer:
Step-by-step explanation:
-6x + 4 = 46
-6x = 42
x = -7
A soccer team practices 3 times a week. Each practice lasts for 110 minutes. The team practiced for 14 weeks during the season.
Answer:
i just answerd this on a nother queston from u go look at that
Step-by-step explanation:
Molly wants to buy a dress that costs $20. She has a coupon for 40% off, and there is a 10%
sales tax. How much will she pay altogether? Answer the questions to find out. 3.How much is the 10% tax on the sale price? Explain how you found your answer.
Answer:
13.20$ :)
Step-by-step explanation:
40% off of 20$ is 12$ and 10% of 12$ is 1.20$ add that and you get 13.20$
Which graph best represents the equation y=2x+5?
Answer:
B?
Step-by-step explanation:
The graph y = 2x + 5 can be represented by the image attached below.
What is a graph?The set of ordered pairings (x, y) where f(x) = y makes up the graph of a function.
These pairs are Cartesian coordinates of points in two-dimensional space and so constitute a subset of this plane in the general case when f(x) are real values.
Given, An equation y = 2x + 5, we can graph this by assuming some arbitrary values of 'x' that correspond to some arbitrary values of 'y'.
When x = 0, y = 5.
x = 1, y = 7 ⇒ (1, 7).
x = 5, y = 15 ⇒ (5, 15).
x = - 5, y = - 5 ⇒ (- 5, - 5).
x = - 2, y = 1 ⇒ (- 2, 1).
learn more about graphs here :
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