State the domain and any values that are excluded from the domain of the function.
f(x) = 2x-5/x-4
I give Brainliest!
Answer:
see explanation
Step-by-step explanation:
f(x) = [tex]\frac{2x-5}{x-4}[/tex]
The denominator cannot equal zero as this would make f(x) undefined.
Equating the denominator to zero and solving gives the value that x cannot be
x - 4 = 0 ⇒ x = 4 ← excluded value
Domain is x ∈ R , x ≠ 4
9. A nonstop bus ride from the bus station in Atlantic City, New Jersey, to the bus station in Albany, New York,
took 6 hours. If the average speed of the bus was 21 meters per second, what is the distance between the two
bus stations, to the nearest kilometer?
a.756 kilometers
b. 126 kilometers
c. 454 kilometers
d. 350 kilometers
Answer:
C
Step-by-step explanation:
EASY IVE DONE IT
Using conversion of units and the relationship between velocity, distance and time, it is found that the distance between the two stations is of:
c. 454 kilometers
Velocity is distance divided by time, that is:
[tex]v = \frac{d}{t}[/tex]
In this problem:
Time of 6 hours, hence [tex]t = 6[/tex].Velocity of 21 m/s. To convert from m/s to km/h, we multiply by 3.6, hence [tex]v = 21(3.6) = 75.6[/tex]Then, solving for the distance:
[tex]v = \frac{d}{t}[/tex]
[tex]75.6 = \frac{d}{6}[/tex]
[tex]d = 6(75.6)[/tex]
[tex]d = 453.6[/tex
Rounding up, 454 km, option c.
A similar problem is given at https://brainly.com/question/24316569
What is the value of W in a exterior angle theorem
Answer:
26
Step-by-step explanation:
The sum of two interior angles in a triangle is equal to an exterior angle that is supplementary to the third interior angle.
so:
30 + 2w - 8 = w + 48
22 + 2w = w + 48 export like terms to the same side of the equation
2w - w = 48 - 22 subtract
w = 26
What is the solution to 8x minus 3(2x minus 4) = 3(x minus 6)
Answer:
x = 30.
Step-by-step explanation:
8x - 3(2x - 4) = 3(x - 6)
8x - 3*2x + - 3*-4 = 3*x + 3 * -6
8x - 6x + 12 = 3x - 18
2x + 12 = 3x - 18
2x - 3x + 12 = 3x - 3x - 18
-x + 12 = -18
-x + 12 - 12 = -18 - 12
-x = -33
-x/-1 = -30/-1
x = 30.
Answer:
[tex]x=30[/tex]
Step-by-step explanation:
[tex]8x-3\left(2x-4\right)=3\left(x-6\right)[/tex]
First, we will expand [tex]-3\left(2x-4\right)[/tex] by applying the distributive property:
[tex]-3\times \:2x-\left(-3\right)\times \:4[/tex]
** [tex]-\left(-a\right)=a[/tex]
[tex]-6x+12[/tex]
[tex]8x-6x+12=3\left(x-6\right)[/tex]
Expand, [tex]3\left(x-6\right):[/tex]
[tex]3x-3\times \:6[/tex]
[tex]3x-18[/tex]
[tex]2x+12=3x-18[/tex]
Subtract 12 from both sides:
[tex]2x+12-12=3x-18-12[/tex]
[tex]2x=3x-30[/tex]
Subtract 3x from both sides:
[tex]2x-3x=3x-30-3x[/tex]
[tex]-x=-30[/tex]
Divide both sides by -1:
[tex]\frac{-x}{-1}=\frac{-30}{-1}[/tex]
[tex]x=30[/tex]
________________________
3 plus four times a number.
Answer:
3 + 4x
Step-by-step explanation:
Let "a number" be x.
Therefore "four times a number" is 4 multiplied by x which is 4x.
Now add 3 for "3 plus".
3 + 4x
Answer:
Our equation would be: 3 + 4x.
Let's say x=8
That would now make our equation:
3 + 4(8) =
Step-by-step explanation:
But let's solve this equation :)
First, we would add 3+4, to get 7.
Then, we would multiply the 7 by 8.
Lastly, we know 7 x 8 = 56
So, 3+4(8)= 56
But we could also create a function statement out of this.
Our statement for this equation would be:
When x equals 8 the answer or in algebraic terms the "output" is 56.
, Hope this helps :)
Have a great day!!
A soccer team is having a car wash. The team spent $50 on supplies. They earned $300, including tips. The team's profit is the amount the team made after paying for supplies. Use a sum of integers to find the team's profit. The team's profit was $
Answer:the answer is $ f(x) = 3x + 50
f(22) = 3(22) + 50
f(22) = 66 + 50
f(22) = 116
So, he will make $116.
As an ordered pair, the solution is (22, 116).Step-by-step explanation:
Profit =Money left after supplies
[tex]\\ \sf\longmapsto Profit=300-50[/tex]
[tex]\\ \sf\longmapsto Profit=\$250[/tex]
Forty-five people volunteered, but 200% of that number are needed. How
many people are needed?
3 1/2 divided by 50 1/4?
Evaluate 2+x-2x7 for x=7
Will mark brainliest !!!
Solve for x.
23=1000
Answer:
x=10
Step-by-step explanation:
10x10x10 =1000
10^3=1000
Answer:
x = 10
Step-by-step explanation:
x cubed is 1000
so x times x times x equals 1000
10 times 10 times 10 = 1000
10^3=1000
If we know a quadratic function has a zero at x=-1 and vertex at (1,4) do we have enough information to find a formula for this function? If your answer is yes, find it; if not, give your reasons.
what is 7019 - 1135 plezzzzzz
Answer:
The answer to 7019 - 1135 is 5884
please help me
no random links pls
Answer:
A
Step-by-step explanation:
aomsmowemrongmroegmfd;
1/4 x 1/8 and simplify
Answer:
[tex] \frac{1}{4} \times \frac{1}{8} = \frac{1}{32} [/tex]
(x - 3 ) ( 6x -2)
help plz
6x² - 20x + 6
Step-by-step explanation:
[tex]\begin{aligned}\tt\left(x-3\right)\left(6x-2\right)&=\tt 6x^2-2x-18x+6\\&=\tt 6x^2 -20x+6\end{aligned}[/tex]
Answer:
6x^2 - 20x + 6
Step-by-step explanation:
(x - 3) (6x - 2)
6x^2 - 18x - 2x + 6
6x^2 - 20x + 6
help me please i need it
Answer:C
Step-by-step explanation:
There are 4 consecutive integers that sum to 190. What is the greatest of these integers ?
Answer:
49
Step-by-step explanation:
x
x+1
x+2
x+3
-------
4x+6
4x+6=190
-6 -6
4x=184
/4 /4
x=46
This is the first integer, but we have to find the last integer so,
46,47,48,49
According to the graph how much money did you start with in your savings? b. How much money will you have after 5 weeks of saving? c. Fill in the table at the right and extrapolate for weeks 6, 7 and 8.
Answer:
A
Step-by-step explanation:
help!!
A bank building in the downtown area stands 42 feet tall. if the high rise office building is 102 times as tall as the bank building, how tall is the office building
Answer:
4284 feet tall
Step-by-step explanation:
42*102=4284 feet
can someone help with this question please
Answer:
3
Step-by-step explanation:
Always include the steps and/or background required to get to the final answer. Let’s help other people understand and solve future problems on their own.
How many solutions are there to the equation below?
7(x + 2) = 7x-10
A. Infinitely many
В. 0
C. 1
pls help asap asap!!!
need an answer now!
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
The equation f(x) = g(x) has : (in box 1)
[tex]1[/tex]Box - 2 :
[tex]x = 1[/tex]-3b+7b+5= -19
I believe the answer is -6
Answer:
B = -6
Step-by-step explanation:
so yes, you're correct.
3y = x - 12
Y= 1/3X -4
parallel, perpendicular or neither
Answer:
PARALLEL
Step-by-step explanation:
The second equation, y = (1/3)x - 4, has already been solved for y. To compare the slopes easily, we need now to solve the first equation for y, obtaining y = (1/3)x - 4.
We see that these two lines have the same slope, m = 1/3, and thus conclude that these lines are PARALLEL.
Please help me with this my math isn't the best
need help with math
702÷2.4
Answer:
Step-by-step explanation:
Can y'all help with this?
Answer:
Step-by-step explanation:
rate = a
a = -16-(-11)/9-6
a= -5/3
5/8 multiplied by 3/4 + 1/2
Answer:
31/32 or 0.96875
Step-by-step explanation:
first you muliply 5/8 by 3/4 then the answer add it to 1/2
Let C be the event that a randomly chosen person went to college. Let J be the event that a randomly chosen person has a job. Identify the answer which expresses the following with correct notation: Given that the person went to college, the probability that a randomly chosen person has a job.
The probability of event J, followed by event C is occurred is P( J | C)
What is probability?The ratio of good outcomes to all possible outcomes of an event is known as the probability. The number of positive results for an experiment with 'n' outcomes can be represented by the symbol x. The probability of an occurrence may be calculated using the following formula.
Probability(Event) = Positive Results/Total Results = x/n
Experiment: A trial or procedure carried out to generate a result is referred to as an experiment.Sample Space: A sample space is the collection of all potential results of an experiment. Tossing a coin, for instance, has two possible outcomes: head or tail.Favorable Consequence: An occurrence is deemed to have generated the desired outcome or an anticipated event if it did so.Trial: To conduct a trial is to conduct a random experiment.The given case is case of Conditional Probability.
As, the probability of random chosen person has a job 'j' followed by the person went to the college 'c'
The, the probability of event J, followed by event C is occurred is
= P( J | C)
Learn more about probability here:
https://brainly.com/question/11234923
#SPJ2
Mrs. Chiu checks 30 problems in 2 minutes. How many problems can Mrs. Chiu check in 68 minutes?