Answer:
x =9/4
Step-by-step explanation:
log3(4x) = 2
Raise each side to the base of 3
3^ log3(4x) = 3^2
We know that 3log3 is 1
4x = 9
Divide each side by 4
4x/4 = 9/4
x = 9/4
Answer:
It means that 20 times x is 5
also the answer to that problem (20x=5) is 1/4
Step-by-step explanation:
20x means
20 * x
and since 20 * x = 5
divide 5 and 20
5/20 = 1/4
$46 with 2.9% tax is:
($46 * 0.029) + $46 = $47.334
2.9% is the same as 0.029, since % means divide by 100 (move decimal 2 places to the left).
You first multiply by 0.029 to see how much the tax is, then you add back the original $46.
Answer:
x = 10 - 2y
Step-by-step explanation:
The question is telling you to express x in terms of y. Essentially, you solve the given equation(s) for x.
x can be found from the first equation by subtracting 2y from both sides:
x = 10 - 2y
_____
When there are infinitely many solutions, either x or y can be arbitrarily chosen, and the appropriate value computed for the other variable.
Here, the answer is telling you "type an expression using y as the variable as needed." That is, y is selected to be the variable arbitrarily chosen, and we need an expression that will tell us the corresponding value of x. The appropriate expression is found by rearranging the equation(s) to "make x the subject". (I call that process "solve the equation for x.")
Answer:
The solution is (-4,-1)
Step-by-step explanation:
The solution to the system is where the two graphs intersect.
The lines intersect at x = -4 and y = -1
The solution is (-4,-1)