Answer:x = 9/16
Step-by-step explanation:
2x + 3 = 6x - 4
/3
First you gotta get rid of the divided by 3
2x / 3 = 2/3x and 3 / 3 = 1
Now you have
2/3x + 1 = 6x - 4
Second you have to get rid of the 2/3x on the left side
2/3x + 1 = 6x - 4
-2/3x -2/3x
1 = 5 1/3x - 4
Third you have to get rid of the -4
1 = 5 1/3x - 4
-4 -4
-3 = 5 1/3x
Fourth you have to divide by 5 1/3
-3 = 5 1/3x
/ 5 1/3 / 5 1/3
x = 9/16
According to the table shown, the function that best represents g (x) is the function g (x) = 2x. This can be shown with the values of the table because if x = -1 then g (-1) = - 2. If x = 0 then g (0) = 0. And if x = 1 then g (1) = 2.
While for f (x) we have:
x f (x)-1 -80 01 8
Then f (x) = 4g (x)
The man travelled in different ways: by rail, by taxi, by ___ and by foot. I placed a blank there because there seems to be a missing word in the given problem above. For sample purposes, let's just assume that is travel by bus.
Since all of these travels are equal to 1 whole journey, you can express each travel as a fraction. When you add them up, the answer would be 1. So,
3/8 + 1/4 + 1/8 + x = 1
The variable x here denotes the fraction of his travel by foot. We are only given the exact distance travelled on foot which is 2 km. We have to find the fraction of the travel by foot to determine the length of the total distance travelled. Solving for x,
x = 1 - 3/8 - 1/4 - 1/8
x = 1/4
That means that the travel by foot comprises 1/4 of the whole journey. Thus,
Let total distance be D.
1.4*D = 2 km
D = 8 km
Therefore, the man travelled a total of 8 kilometers.
Answer:
C. Yes Devon should have evaluated f(3).
Step-by-step explanation:
She substituted the wrong value. For x - 3 to be a factor f(3) must equal 0.
f(3) = 3^3 + 3^2 - 10(3) + 8 = 27 + 9 - 30 + 8
= 14, so x- 3 is not a factor anyway but she did substitute the wrong value.
Answer:
24 nickels 3 quarters
Step-by-step explanation:
195-25(3) = 120/5 = 24 nickels 3 quarters
