Answer:
40
Step-by-step explanation:
let the unknown be y (x is used as times(multiplication) )
(y-17)x-6=-138
add /-6 to both sides
y-17x-6/-6=-138/-6
y-17=23
make y independent/add 17 to both sides
y-17+17=23+17
y=40
or in an easier way
-138/-6 =23
23+17=40
simply reversing the question to get the answer
To solve this we are going to use the formula for compounded interest:

where

is the final amount after

years

is the initial amount

is the interest rate in decimal form

is the number of times the interest is compounded per year

is the time in years
We know for our problem that

,

, and

. Since the interest is compounded daily, it is compounded 365 times in year; therefore,

. Lets replace those values in our formula to find

:



We can conclude the amount in Diane's after 3 years will be <span>
$1,603.31</span>
Answer:
why
Step-by-step explanation:
?
Hi there!
To start, we can use the two points to find the slope using the formula y2-y1/x2-x1. Just sub in the points and solve!
-0.5-0.5/3-(-3)
-1/6
Sub that into the formula y-mx+b for m, and use one of the points for x and y - solve for b and you get your equation.
y=mx+b
y=-1/6x+b
0.5=-1/6*-3+b
0.5=-0.5+b
0.5+0.5=b
b=1
Therefore your equation is y=-1/6x+1
Hope this helps!
Answer:

Step-by-step explanation:
Quadratic function is given as 
Let's find a, b and c:
Substituting (0, 6):



Now that we know the value of c, let's derive 2 system of equations we would use to solve for a and b simultaneously as follows.
Substituting (2, 16), and c = 6








=> (Equation 1)
Substituting (3, 33), and c = 6








=> (Equation 2)
Subtract equation 1 from equation 2 to solve simultaneously for a and b.


Replace a with 4 in equation 2.
The quadratic function that represents the given 3 points would be as follows:


