Answer:
a) [tex]f(x) = 45300 + 143x[/tex]
In which 45300 is the current number of miles driven and 143 is the amount of miles she drives each day.
b) 47,016 miles.
Step-by-step explanation:
Question a:
Every day when commuting to and from work, Stefanie drives her car a total of 143 miles for 2.5 hours. Her car already has 45,300 miles on it.
So, after x days of work, the amount of miles driven will be given by
[tex]f(x) = 45300 + 143x[/tex]
In which 45300 is the current number of miles driven and 143 is the amount of miles she drives each day.
Question b:
After 4*3 = 12 days of work. So
[tex]f(12) = 45300 + 143*12 = 47016[/tex]
47,016 miles.
for brainliest!!!! please help :)
Answer:
area = 572.3 m²
Step-by-step explanation:
area = PiR²
r = 27/2
area = (3.14)(13.5²)
area = 572.3 m²
Find the value of x.
А.
6
B
5
y
x = V[?]
Answer:
I thought this was going to be easy been sitting here for 20min
Please help test due in 1 hour and it’s a grade! Will give good review and brainliest!
n
What is the y-intercept of the equation 4x + 5y = 20?
0 (0.4)
0 (0.5)
0 (4.0)
(5.0)
M
Answer: (0,4)
Step-by-step explanation:
Suppose 7x-5 M=- 3 x-8 and NE 2 2 x - 5 x - 50 X - 14 x +40 and you want to add the fractions M and N, in other words you want to compute 7x-5 3 x - 8 2 x - 5 x - 50 x - 14 x + 40 and simplify the result. We know that, before you can add the fractions, you must find a common denominator and rewrite each fraction so it has that common denominator. Once the rewritten fractions have the same denominator, you can add them and simplify the result.
There are four text boxes below. In the first text box, enter a common denominator for the two fractions. In the second text box, rewrite M so that it possesses the common denominator you found. Note that your entry in this text box should equal M, however it should have the common denominator you found. In the third text box, rewrite N so that it possesses the common denominator you found. In the last text box, compute your simplified answer for M N . Make sure that your answer is simplified; the numerator and denominator of your answer for M N should not have common factors. Note that your entry for the common denominator should be a polynomial with integer coefficients. Your other three entries should be fractions that contain polynomials. All of your answers should contain no letters other than the variables that appear in M and N. Do not include an equals sign with any of your answers. All of your expressions should be mathematically correct and not contain non-mathematical symbols. After entering your answers, click the Save Answer button. Your computer will display how your answers were interpreted, and you will have the opportunity to accept these answers or modify them.
Enter a common denominator for M and N here:
Enter M rewritten here:
Enter N rewritten here:
Enter your simplified result here:
Answer:
[tex](a)[/tex] [tex]Denominator= (x - 10)(x+5)(x-4)[/tex]
[tex](b)[/tex] [tex]M = \frac{(7x - 5)(x-4)}{(x+5)(x - 10)(x-4)}[/tex]
[tex](c)[/tex] [tex]N = \frac{(3x - 8)(x + 5)}{(x-4)(x-10)(x + 5)}[/tex]
[tex](d)[/tex] [tex]M + N = \frac{10x^2-26x -20}{(x+5)(x - 10)(x-4)}[/tex]
Step-by-step explanation:
Given
[tex]M = \frac{7x - 5}{x^2 -5x - 50}[/tex]
[tex]N = \frac{3x - 8}{x^2 -14x+ 40}[/tex]
Solving (a): A common denominator of M and N.
To do this, we simply get the LCM of both denominators
[tex]M = x^2 - 5x - 50[/tex]
[tex]N = x^2 - 14x + 40[/tex]
Factorize both:
[tex]M = (x - 10)(x + 5)[/tex]
[tex]N = (x- 10)(x - 4)[/tex]
The LCM is
[tex]LCM= (x - 10)(x+5)(x-4)[/tex]
Hence, the common denominator is:
[tex]Denominator= (x - 10)(x+5)(x-4)[/tex]
Solving (b): Rewrite M
[tex]M = \frac{7x - 5}{x^2 -5x - 50}[/tex]
Factor the denominator:
[tex]M = \frac{7x - 5}{(x+5)(x - 10)}[/tex]
The LCM calculated in (a) above is:
[tex]LCM= (x - 10)(x+5)(x-4)[/tex]
So, we have to multiply the numerator and denominator of M by (x - 4)
The expression becomes:
[tex]M = \frac{7x - 5}{(x+5)(x - 10)} * \frac{x - 4}{x-4}[/tex]
[tex]M = \frac{(7x - 5)(x-4)}{(x+5)(x - 10)(x-4)}[/tex]
Solving (c): Rewrite N
[tex]N = \frac{3x - 8}{x^2 -14x+ 40}[/tex]
Factor the denominator:
[tex]N = \frac{3x - 8}{(x-4)(x-10)}[/tex]
The LCM calculated in (a) above is:
[tex]LCM= (x - 10)(x+5)(x-4)[/tex]
So, we have to multiply the numerator and denominator of N by (x + 5)
The expression becomes:
[tex]N = \frac{3x - 8}{(x-4)(x-10)} * \frac{x + 5}{x + 5}[/tex]
[tex]N = \frac{(3x - 8)(x + 5)}{(x-4)(x-10)(x + 5)}[/tex]
(d) Solve M + N
[tex]M + N = \frac{(7x - 5)(x-4)}{(x+5)(x - 10)(x-4)} + \frac{(3x - 8)(x + 5)}{(x-4)(x-10)(x + 5)}[/tex]
Take LCM
[tex]M + N = \frac{(7x - 5)(x-4) + (3x - 8)(x + 5)}{(x+5)(x - 10)(x-4)}[/tex]
Open brackets
[tex]M + N = \frac{7x^2 - 28x - 5x + 20 + 3x^2 + 15x - 8x - 40}{(x+5)(x - 10)(x-4)}[/tex]
Collect Like Terms
[tex]M + N = \frac{7x^2 + 3x^2- 28x - 5x + 15x - 8x + 20 - 40}{(x+5)(x - 10)(x-4)}[/tex]
[tex]M + N = \frac{10x^2-26x -20}{(x+5)(x - 10)(x-4)}[/tex]
hehe pls help i nneed it
Answer:
x = 32
Step-by-step explanation:
180 - 42 - 106 = x
x = 32
in a class the ratio of boys to girls is 3/2. if there are 12 boys in the class, how many girls are there?
Answer:
8
Step-by-step explanation:
3 times 4 is 12 and 2 times 4 is 8
Solve the simultaneous equations y=x-2 and y=3x+5
Answer:
x = -7/2........y = -11/2
Step-by-step explanation:
..….................
Forgive me if wrong
f(x)=2x + 2
g(x)= x – 5
Find f(x) + g(x)
I need help understanding how to do a problem like this
Thank you
Answer:
3x - 3
Step-by-step explanation:
f(x) + g(x)
(2x + 2) + (x - 5)
3x - 3
Please help please thank
Answer:
3/4 of an hour
Step-by-step explanation:
the longest is 1 hour. the shortest is 1/4 of an hour. 1 minus 1/4 is 3/4
what is the area of triangle ABC?? i need this asap
Answer:
A) 36√3
Step-by-step explanation:
First, figure out the height. Since it's an equilateral triangle, it would be
6²+B²=12²
36+B²=144
B²=144-36
B²=108
B=√108
B=√36x√3
B=6√3
Now we can get the area.
1/2(6√3)(12) = 36√3
-2(x+2)=1/4(-8x-16) how many solutions does it have
Answer:
infinite
Step-by-step explanation:
que expresision algebraica es P (x)=3x - 5x +6?
Solve for x.
X -8 = -11
PLZ HELP I NEED ANSWER ASAP
Answer:
x= -3
Step-by-step explanation:
write the letters of the words VERY WELL on 8 cards and put them in a bag. Shuffle them well.
Do the following:
What is the probability for a v to be drawn?
What is the probability for an E to be drawn?
What is the probability for an R to be drawn?
What is the probability for a Y to be drawn?
What is the probability for a W to be drawn?
What is the probability for an L to be drawn?
Answer:
1/8
1/4
1/8
1/8
1/8
1/4
Step-by-step explanation:
Probability a letter would be picked = total number of the letter in the bag /sum of letters in the bag
1. v,r,y,w appear once. the numerator would be 1 and the denominator would be 8 = 1/8
e and l would appear twice in the bag, so the numerator would be 2 and the denominator would be 8 = 2/8 convert to its simplest form = 1/4
PLEASE HELP!! Eliminate the parameter in the equations y = t + 2 and x =t^1/2.How can the rectangular equation be described?
Answer:
Quadratic (I took the test)
Step-by-step explanation:
y=t+2 equals y-2=t
put t in for x=t^1/2. this is x=(y-2)^1/2, which equals x^2=y-2.
add 2 to both sides, which is y=x^2+2 . This is an example of a quadratic equation (you kinda just need to know the format of different types of equations for the last part. It isn't cubic because it has a number added to it, isn't linear because the x is squared, and tbh I have no clue what quartic is.)
This is an example of a quadratic equation.
We have given that the equation
y=t+2 equals y-2=t
What is the quadratic equation?A quadratic equation is an algebraic equation of the second degree in x. The quadratic equation in its standard form is ax^2 + bx + c = 0, where a,b are and c represents the constant.
put t in for x=t^1/2. this is x=(y-2)^1/2,
Squaring both sides we get,
x^2=y-2.
add 2 to both sides, which is y=x^2+2.
This is an example of a quadratic equation.
To learn more about the quadratic equation visit:
https://brainly.com/question/1214333
#SPJ2
22. According to ghost hunters, large cities have, on average, 9 haunted houses each. As far as we know, it is unpredictable which houses will be haunted; and just because one house is haunted, that does not mean any of its neighbors will or will not be haunted. a) What is the standard deviation of the number of haunted houses in a large city
Answer:
The standard deviation of the number of haunted houses in a large city is 3.
Step-by-step explanation:
In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:
[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]
In which
x is the number of sucesses
e = 2.71828 is the Euler number
[tex]\mu[/tex] is the mean in the given interval, which is the same as the variance.
According to ghost hunters, large cities have, on average, 9 haunted houses each.
This means that [tex]\mu = 9[/tex]
a) What is the standard deviation of the number of haunted houses in a large city?
Square root of the variance, so:
[tex]\sqrt{9} = 3[/tex]
The standard deviation of the number of haunted houses in a large city is 3.
23rd term of -11,-7,-3 in arithmetic sequence
Answer:
The 23rd term for the sequence is -99
Step-by-step explanation:
We can use an explicit rule to find the 23rd term.
Given Info:
=> Sequence: -11,-7,-3
=> f(1) = -11
=> Common difference (d) = -4
Explicit rule: f(1) + d(n-1)
So,
-11 -4 (n-1)
Substitute 23 for n
=> -11 - 4(23-1)
=> -11 - 4(22)
=> -11 - 88
=> -99
hope this helps and is right :)
p.s. i really need brainliest
A shirt costs 20$ if it was on sale for 75 percent off what is the discount
Solve for x...............
Answer:
x = 12 degrees
Step-by-step explanation:
They all have to add up to 360, so:
[tex]5x + 4 + 4x+9+7x+4+9x-6+4x+1=360\\29x + 12 = 360\\29x = 348\\x = 12[/tex]
PLEASE ANSWER ASAP FOR BRAINLEST!!!!!!!!!!!!!!!!!!!!!!!
Answer:
54
Step-by-step explanation:
you can use a proportion to solve:
6/3=x/27
3x=27x6
3x=162
x=54
Answer:
I Know you already have an answer but its 5
Step-by-step explanation:
I dont mean to steal points and you still have no answer I just figured you already have an answer so I see no wrong in doing this
A stamp collector has 55 stamps from the United States, 30 stamps from Canada, and 15 from Mexico. If he were to close his eyes and randomly select 20 from his collection, about how many would you expect to be from Mexico?
Can somebody help please #asap help w number 8
Answer:
y=4x bc each one is 4 so for one box it cost $4
Answer:
The expression will be y = 4x.
Step-by-step explanation:
First, we have to form expressions for number of boxes and total amount she earn :
Let x be the number of boxes,
Let y be the total amount,
Given that the costs of each box is $4 so in order to find the total amount, you have to multiply the number of boxes by 4 :
y = 4x
Plss this is timed will mark brain least if shown work!
Answer:
do 62.31/3 which is 20.77 so 1 shirt cost 20.77
now do 20.77+3.66 which is 24.43
so the answer is C. $24.43
Juan purchased a T-shirt for $18 plus sales tax. Sales tax is 4.5%. How much sales tax did Juan pay?
Answer:
$22.5%.....i think....not sure
Step-by-step explanation:
i've added $18 plus tax%.....not sure if its the answer
Answer: $5.63
Step-by-step explanation:
4.5% Divided By 100 To Get 0.045 Then I Multiplied That By $125 And Got 5.625 .. I Rounded It To $5.63
If y=x+4 and y=3x+2, what must be true about x + 4 and 3x+2?
Answer:
x=1 must satisfy both equations.
Step-by-step explanation:
1)Y=X+4
2)Y=3X+2
IT Means x+4=3x+2
3x-x=4-2;
2x=2 ; x=1 must satisfy both equations
Formula
=6s2
gives the surface area A of a cube with a side length s.
The surface area of a cube that has a side length of 5 inches is _______________inches squared.
*No need to label this answer.*. Please help me
Answer:
the surface area of the cube is 150 inches squared
Step-by-step explanation:
The computation of the surface area of the cube is shown below:
As we know that
The surface area of the cube is
= 6s^2
= 6(5)^2
= 150 inches squared
hence, the surface area of the cube is 150 inches squared
There were 45 runners to start a race. In the first half of the race, 2/3
of them dropped out. In the second half of the race, 4/5
of the remaining runners dropped out. How many runners finished the race?
runners?
Answer:43 8/15
Step-by-step explanation:45-2/3 is 44 1/5 then subtract 44 8/15 by 4/5 and you get 43 8/15
Compare and contrast how to graph: x = 5 and y = 3.
Write down the name of the solid.
Answer:
Cube
Step-by-step explanation: