It is (3,3) because P will become A after the rotation which is answer C.
Answer:
- x = sandwiches
- y = wraps
- y = -3/4x +420
- y-intercept = 420
- m = -3/4
Step-by-step explanation:
This is a reading comprehension question. The problem statement tells you ...
"x number of sandwiches" and "y number of wraps."
You should be able to deduce that ...
x represents the number of <em>sandwiches</em>
y represents the number of <em>wraps</em>
___
The equation 3x+4y=1680 is put into slope-intercept form by solving for y.
4y = -3x +1680 . . . . . subtract 3x
y = (-3/4)x + 420 . . . .divide by 4
Comparing this to the slope-intercept form y = mx + b, where m is the slope and b is the y-intercept, we see that ...
y-intercept = 420
m = -3/4
Answer:
The solution is x = e⁶
Step-by-step explanation:
Hi there!
First, let´s write the equation
ln(x⁶) = 36
Apply logarithm property: ln(xᵃ) = a ln(x)
6 ln(x) = 36
Divide both sides of the equation by 6
ln(x) = 6
Apply e to both sides
e^(ln(x)) = e⁶
x = e⁶
The solution is x = e⁶
Let´s prove why e^(ln(x)) = x
Let´s consider this function:
y = e^(ln(x))
Apply ln to both sides of the equation
ln(y) = ln(e^(ln(x)))
Apply logarithm property: ln(xᵃ) = a ln(x)
ln(y) = ln(x) · ln(e) (ln(e) = 1)
ln(y) = ln(x)
Apply logarithm equality rule: if ln(a) = ln(b) then, a = b
y = x
Since y = e^(ln(x)), then x =e^(ln(x))
Have a nice day!
A rational number can be written as a ratio and is nonrepeating. There is an infinite amount of numbers between 7.7 and 7.8, but an easy one is
7.75. You can double check that it's rational by writing it as a ratio,
, and you can see that it isn't repeating.
Linear equations can be written in the form <em>y = mx + b</em> where the multiplier "m" represents the slope of the line.
The linear equation <em>y = -8x + 6</em> has a slope equal to 3.
An image providing where the slope of the line is in y = mx + b is provided.
