E^2x -2e^x -8=0 => e<span>^(2x) -2e^x -8=0
Temporarily replace e^x with y.
Then (y)^2 - 2y - 8 = 0. Factors are (y-4) and (y+2).
Roots are y = 4 and y= -2.
Now remembering that we temporarily replaced e^x with y, we let
y=4 = e^x. We need to solve for x. Taking the natural log of both sides, we get:
ln 4 = x (answer)
We have to discard the other root (y= -2), because we cannot take the ln of a negative number.
</span>
If Jenny made $315.25 for 8 hours of work:
Then it means that she made:
$312.25/8 hours = $39.41 per hour.
If Jenny works for 40 hours, then she will make:
40 hours × $39.41 = $1,576.25
Please mark my answers as the Brainliest if you find my explanations/solution helpful :)
Answer:
The linear term is -5x
Step-by-step explanation:
The linear term is the term that has the degree equal to 1.
The given function is
y = 2x^2 − 5x − 12
here 2x^2 = quadratic term i.e having degree 2
-5x = linear term i.e having degree 1
-12 = constant
so, The linear term is -5x
Answer:
y= 10x-38
Step-by-step explanation:
Equation of a line is usually written in the form of y=mx+c, where m is its gradient and c is its y-intercept.
Given that m=10,
y= 10x +c
Now substitute the coordinates into the equation.
When y=12, x=5,
12= 10(5) +c
12= 50 +c
c= 12 -50
c= -38
Thus the equation of the line is y= 10x -38
