Answer:
y = -
x + 
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Rearrange 4y = 5x + 3 into this form by dividing the 3 terms by 4
y =
x +
← in slope- intercept form
with slope m = 
Given a line with slope m then the slope of a line perpendicular to it is
= -
= -
= -
, thus
y = -
x + c ← is the partial equation
To find c substitute (3, - 2) into the partial equation
- 2 = -
+ c ⇒ c = - 2 +
= 
y = -
x +
← equation of perpendicular line
For this item, we let x be the number of hours she works out and y be the total number of bananas that she will be eating after the workout. The expression that best described the given above is,
y = 5 + 2x
5 is given as the y-intercept because of the initial condition.
Answer:
x = 105.4
Step-by-step explanation:
We are given;
Log 3 + log x = 5/2
We are required to find x;
We are going to use the laws of logarithms to solve for x
That is;
log a + lob b = log(ab)
Therefore;
Log 3 + log x = 5/2
we get;
log 3x = 2.5
But;
Given, logₐb= x , then b = a^x
In this case;
log 3x = 2.5
we get , 3x = 10^2.5
That is , 3 x = 316.227
x = 105.4
Thus, the value of x is 105.4
Answer: 81%
Step-by-step explanation: