Using linear functions, it is found that:
Paisley's equation is: P(t) = 315 - 42t.Damian's equation is: D(t) = 383 - 59t.Damian is closer to the stadium 5 hours after noon.What is a linear function?A linear function is modeled by:
[tex]y = mx + b[/tex]
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value.Paisley is 315 miles away from the stadium, and driving at a speed of 42 miles per hour, hence for the linear equation for his distance after t hours, we have that:
m = -42, b = 315, then:
P(t) = 315 - 42t.
Damian is 383 miles away from the stadium, and driving at a speed of 59 miles per hour, hence for the linear equation for his distance after t hours, we have that:
m = -59, b = 383, then:
D(t) = 383 - 59t.
After 5 hours, their distances are:
P(5) = 315 - 42(5) = 105
D(5) = 383 - 59(5) = 88
D(5) < P(G), hence Damian is closer to the stadium 5 hours after noon.
More can be learned about linear functions at https://brainly.com/question/24808124
What part of speech is the italicized word?
We had difficulty crossing the swift stream.
verb
adjective
adverb
noun
pronoun
Given the following data from a sample find the sample standard deviation. 5, 16, 24, 15, 2, 8
Answer:
8.2
Step-by-step explanation:
The sample standard deviation measures the spread ofa data distribution of the sample. It is usually used toestimate the population standard deviation.
Suppose that X is the number of cars per minute that pass through a certain intersection, and that X has the poisson distribution. If the mean of X is equal to 9 cars, what is the variance of X
The variance of a distribution is the square of the standard deviation
The variance of the data is 9
How to determine the varianceThe given parameters are:
Mean = 9 cars
Distribution type = Poisson distribution
The variance and the mean of a Poisson distribution are equal.
So, we have:
Variance = 9 cars
Hence, the variance of the data is 9
Read more about variance at:
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Please help: Determine the points at which the graph of the function has a horizontal tangent line.
[tex]\\ \tt\hookrightarrow f(x)=\dfrac{x^2}{x-6}[/tex]
Find inverse
[tex]\\ \tt\hookrightarrow y=\dfrac{x^2}{x-6}[/tex]
[tex]\\ \tt\hookrightarrow x=\dfrac{x^2+6y}{y}[/tex]
[tex]\\ \tt\hookrightarrow f'(x)=\dfrac{x^2+6x}{x}=x+6[/tex]
Now
[tex]\\ \tt\hookrightarrow x+6=0\implies x=-6[/tex]
Find Horizontal tangency
[tex]\\ \tt\hookrightarrow f(6)=\dfrac{(-6)^2}{-6-6}[/tex]
[tex]\\ \tt\hookrightarrow f(6)=\dfrac{36}{-12}=-3[/tex]
So
(x,y) =(-6,-3)What is the surface area?
9 mm
5 mm
2 mm
square millimeters
Step-by-step explanation:
TSA=2(l x b) +2(l x h) +2(b x h)
= 2x2x5+2x2x9+2x5x9
=20+36+90
=146mm squared
A small 2 on top of mm
Hope answer helps
A. Each step in this pattern decreases by 1 block. B. Each step in this pattern increases by 1 block. C. Each step in this pattern doubles the number of blocks. D. Each step in this pattern triples the number of blocks.
Answer: Each one increases by 1 block
Step-by-step explanation:
Determine the average rate of change of f (x) = x² - 10x + 5 over the interval [-4, 4].
=
-
Answer:
f ( x ) = ( x - 5 ) ² - 20
Step-by-step explanation:
1- Add the same value to both sides
f ( x ) = x ² - 10x + 5
2- Add 25 to the expression
f ( x ) + ? = x ² - 10x + ? + 5
3- Add 25 to the left-hand side
f ( x ) + ? = x ² - 10x + 25 + 5
4- Factor the expression
f ( x ) + 25 = x ² - 10x + 25 + 5
5- Move the constant to the right
f ( x ) + 25 = ( x - 5 ) ² + 5
6- Calculate
f ( x ) = ( x - 5) ² + 5 - 25
It will help me a lot if you count me as brainlist anyways good luck!
A 1 1/8
B 2 1/8
C 5 1/8
D 9 1/8
Answer: 91/8 I believe
Step-by-step explanation:
solve 4x+4= 2x+10 will give brainliest to whoever answers first
Hi!
4x+4=2x+10
Move all the numbers to the right and all the variables to the left, using the opposite operation:
4x-2x=10-4
2x=6
Divide both sides by 2:
x=3 (Answer)
Hope it helps!
Enjoy your day!
~Misty~
Answer:
4x+4=2x+10 --> 4x-2x=10-4 --> 2x=6 --> x=6/2 --> x=3/1 --> x=3 Answer.
Help plz due in 10min
Answer:
1.15
Step-by-step explanation:
Answer:
1.15
Step-by-step explanation:
So, first it would be helpful to change this from an improper fraction to a mixed number. Because we have an improper fraction now, we need to make this a mixed number by seeing how many times 23 can go into 20. Twenty-three can't go into 20, but if we take away 3 from 23 it can.
So, now we have 20/20 but with a remainder of 3/20. Because 20/20 = 1, it becomes a whole number of 1 and 3/20. Because there is a whole number of 1, we can put this as the whole number for the decimal. The fraction 3/20 is equal to the decimal 0.15, so we can now put the decimal together now that we have all the parts for the answer needed, which is 1.15.
I hope that this helps.
If you don’t know the answer please don’t comment.
Find:
(f + g)(x) for f(x) = 2x^2 − 8 and g(x) = x + 2
A.) 2x^2 − x − 6
B.) 4x^2
C.) 3x^2 − 6
D.) 2x^2 + x − 6
Answer:
D) 2x^2 + x -6
Step-by-step explanation:
(2x^2 - 8) + (x+2)
combine like terms
2x^2 + x -6
If A= (-4 -4 1) (1 4 7) (2 3 3) and B= (2 9 -9) (8 8 -2) (4 10 1), find -4A + 8B
What is the value of x? □ ft. ( Will Mark Brainliest working on it now ).
Answer:
67.5 ftStep-by-step explanation:
Use the ratio of corresponding sides:
97.5/x = 71.5/(71.5 - 22)97.5/x = 71.5 / 49.5x = 97.5*49.5/71.5x = 67.5PLS HELP. Find the value of a, AB, BC, CD, AD in the parallelogram. Pls show work.
Answer:
A= 21
Step-by-step explanation:
a=19.5+1.5=21
21+2.9=23.9
2(21)-18.1
Lines AB and CD are congruent.
A can of soup weights 251 grams. How many cans
Would weigh about a kilograrn?
Answer:
0.251 kg
Step-by-step explanation:
To convert from grams to kilograms, we divide the # of grams by 1000, or move the decimal point to the right by 3.
[tex]25.1[/tex] [tex]2.51[/tex] [tex]0.251[/tex]Therefore, the answer is 0.251 kg.
Answer:
4 cans
Step-by-step explanation:
1kg = 1000g
=> 1000g/251g
= 3.9 cans which is around 4
Pls help me as soon as possible
Answer:
Well your trying to find meters per second.
So it’s a unit rate question.
In order to find the unit rate you divide the original by the newest.
In this case it’s (c) or -4.9/.71
Answer:
can you complate this heart
Use < , > , = , ≤ , ≥ to complete these statements. 1) if x < y , then y___ x, 2) if x > 5 and 5 > y, then x ___ y, 3) if x is four at most, then x ___ 4, 4) if x - y = 0, then x ___ y Can someone please help me I've been stuck on these for 3 days.
Answer:
1) y > x
2) x > 5 > y
3) x ≤ 4 ( or 4 ≥ x )
4) x = y
Step-by-step explanation:
1) 1. y is greater than x
2. so y > x
2) 1. 5 is less than x and more than y
2. we can write this like x > 5 > y
3. you can just squish them together as a shortcut usually: x > 5 and 5 > y --> x > 5 > y
3) 1. x is for at most, we can say this as x is less than or equal to 4
2. this is written as x ≤ 4 or 4 ≥ x
4) 1. x - y = 0 so x and y must be the same value
2. therefore x = y
The predicted high temperature for the day in Bismarck, North Dakota is 30° and the low is 7° below zero. What is the diffrence in the temperatures for the day?
Answer:
37°
Step-by-step explanation:
30 - (-7)
30 + 7
37
write 2 / 3 of 4 as a mixed number.
Answer:
2 and 2/3
Step-by-step explanation:
i used my math skillz
I really need help on this one
please and thank you.
Answer:
no
no
yes
yes
yes
Step-by-step explanation:
integers can only be whole numbers
just simplify to find out
a) not whole number
b) not whole number
c) whole number
d) 14/7 = 2; whole number
c) -12/2 = 6; whole number
a and b = NO
c, d, e = YES
Help help math math math math
Answer:
y - 5 = -3(x + 3)
Step-by-step explanation:
A parallel line has the same slope but different y-intercept
So the slope of our line is -3
We also have our x1 and y1
So input that into the point-slope formula : y - y1 = m(x - x1)
y -y1 = m(x - x1)y - 5 = -3(x - (-3))y - 5 = -3(x + 3)The equation of the line is [tex]\boxed{\text{y - 5 = -3(x + 3)}}[/tex]
-Chetan K
Answer:
5 = -3(x + 3)
Step-by-step explanation:
i got it right
7x7+3-2 (4-5+-6)(77x8)
?????????????????????/
Step-by-step explanation:
7 x7+3-2(-7) (618)
=7 x7+3-2(-4326)
=-4341
How’s this for 20 characters or more brainly
Answer:
x-intercept = 3/4
y-intercept = -3
Step-by-step explanation:
4x - y = 3 (Given)
To find x-intercept plug y = 0 in the given equation.
4x - 0 = 3
4x = 3
x = 3/4
To find y-intercept plug x = 0 in the given equation.
4(0) - y = 3
0 - y = 3
- y = 3
y = -3
Sandy went to her local zoo that featured 34 tion exhibits. If the zoo features 40
exhibits in total, then what percent of the zoo's exhibits feature lions? Round your
answer to the nearest whole number if necessary.
Answer:
85%
-> If 34 of the 40 exhibits are lions, then 34/40 are lions.
-> 34/40 = 0.85
-> 0.85 * 100 = 85%
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly.
- Heather
Someone help me plsss
Answer:
1 5/8
Step-by-step explanation:
Transform the expression
7/8 + 3/4
Write all numerators above the least common denominator 8
7+6/8 = 13/8 = 1 5/8
Please mark me as brainliest
Use Descartes rule to determine the possible number of positive and negative solutions for the polynomial: f(x)=10x^4-21x^2+11
Answer:
x = 11/2
Step-by-step explanation:
just go by each step
Naomi's fish is 40 millimeters long. Her guinea pig is 25 centimeters long.
How much longer is her guinea pig than her fish?
Answer:
21cm
Step-by-step explanation:
Solution,
Length of fish=40mm=40/10=4cm
Length of pig=25cm
Now,
Difference of their length=25cm-4cm=21cm
Hence,the pig is 21cm long than the fish
Multiply the polynomials (x + 3) (2x – 4). What is the product in the form ax² + bx + c?
answer:
2x²+2x-12
explanation:
(x + 3) (2x – 4) [ open the bracket ]
x(2x) -4(x) +3(2x)+ 3(-4) [ multiplication ]
2x²-4x+6x-12 [ simplify ]
2x²+2x-12 [ final answer ]
Answer:
We want to multiply two polynomials of degree 1, and get in that way a polynomial of degree 2.
We will get the polynomial: p(x) = 2 * x² + 2 * x - 12
Step-by-step explanation:
We just want to multiply (x + 3) and (2*x - 4).
So we start by writing:
(x+3) * (2*x-4)
Now we just expand this:
(x+3) * (2*x-4) = 2 * x² + x * (-4) + 3 * (2 * x) + 3 * (-4)
Now we need to simplify the above expression:
2 * x² + x * (-4) + 3 * (2*x) + 3 * (-4) = 2 * x² + (6 - 4) * x - 12 = 2 * x ² + 2 * x - 12
This is the polynomial we wanted to get:
p (x) = 2 * x² + 2 * x - 12
If you want to learn more, you can read:
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What is the area of the shaded region?
............, .......
help me plsssssssss on myquestion
Answer:
A) 110° and 109°
Step-by-step explanation:
Hope this helps.