Answer:
4
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
When solving for x as an exponent, we need to use logarithms in order to undo the operation and rearrange the terms. We use log rules to bring down the exponent and solve. Logarithms are the inverse operations to exponents and vice versa. We have one special kind of logarithm called the natural logarithm whose base is e. We write it as ln. Since our base is e here, we will use the natural logarithm to rearrange and isolate x.

We begin by applying the natural logarithm to each side.

Log rules allow use to rearrange the exponent as multiplication in front of the log.

ln e as an inverse simplifies to 1.

We now apply the inverse operations for subtraction and multiplication.

Option A is correct.
Answer:
= 3.5 miles per hour
Showing Work
This is a fraction equal to
7 miles ÷ 2 hours
We want a unit rate where
1 is in the denominator,
so we divide top and bottom by 2
7 miles ÷ 2
2 hours ÷ 2
=
3.5 miles
1 hour
=
3.5 miles
hour
= 3.5 miles per hour
Answer:
There is one solution
Step-by-step explanation:
2x + y = -1
8x + 3y = -2
Multiply the first equation by -4
-8x -4y = 4
Then add the equations together to eliminate x
-8x -4y = 4
8x + 3y = -2
--------------------
-y = 2
Multiply by -1
y =-2
Now find x
2x+y =-1
2x+-2 =-1
Add 2 to each side
2x-2+2=-1+2
2x=1
Divide by 2
x = 1/2
When hav epoins (x1,y1) and (x2,y2)
slope is (y2-y1)/(x2-x1)
(-3,4) and (5,-1)
slope=(-1-4)/(5-(-3))=-5/(5+3)=-5/8
slope=-5/8