The denominator of a fraction is 1 more than 3 times the numerator. If the denominator is doubled and the numerator is increased by 2, the value of the resulting fraction is 1/4. Find the original fraction.
Answer:
Step-by-step explanation:
We would liken the given scenario to distance speed and time relationship. The formula for determining average speed is
Total Distance/ total time
Since the distance between Earth and Mars is 108 million miles(108 × 10^6) the trip takes 245 days, then on average, the number of miles that the astronauts would travel each day would be
108 × 10^6/245 = 440816 miles per day
Writing in powers of 10, it becomes 4.4 × 10^5 miles per day
Rounding to the nearest whole number, it becomes 4 × 10^5 miles per day
Answer:
The function has a negative leading coefficient and a maximum vertex point
Explanation:
This function's leading coefficient is determined by whether it is concave up or concave down, meaning it has an Up and Up end behavior for a positive leading coefficient and a Down and Down end behavior for a negative coefficient.
This function's end behavior is Down and Down, so it must have a negative leading coefficient.
The function has a minimum vertex when the function has a positive leading coefficient and a maximum vertex point when the function has a negative leading coefficient.
This means that the functions vertex is the highest or lowest possible value of the function (the rest of the function continues forever in whichever direction.
This particular function has a maximum vertex as there is no point above the vertex here and the function has a negative leading coefficient.
Answer:
x= 16
Step-by-step explanation:
First, you want to distribute each side! (you're gonna wanna learn this because you will be having to do it for the next 3 years no joke it sucks)
7(x+2) can be distributed as 7x+14 after multiplying 7 times x and 7 times 2, and 6(x+5) can be distributed as 6x+30.
Now, you have to get the x on one side to solve for x (so like x=__).
To do this, look at the equation as of now. 7x+14=6x+30.
We can minus 14 and bring that to the right, and minus 6x and bring that to the left to separate the x's and the regular numbers.
Now we have 16=x (or x=16).
the answer would be revenue
