The roots to this equation are: (2,0) and (24,0)
Answer: Choice C
The pink equation is y = 2x-3
The yellow equation is y = -2x+1
Notice how the pink equation crosses the y axis at (0,-3) or at -3 on the y number line. This tells us that the pink equation has a y intercept of -3. So b = -3
This only happens with the equation y = 2x-3. The other equations do not have a y intercept of -3. So this quickly rules out the other choices leaving C as the only answer.
An alternative is to find two points on the pink line, such as (0,-3) and (1,-1). Then find the slope of the line through those points. You should find the slope to be m = 2. So m = 2 and b = -3 leads to y = 2x-3. Follow similar steps for the yellow line as well.
Answer:
0.03A + 0.03B = 800
A + B = 20000
Step-by-step explanation:
Let one part A of the total money invested with 3% interest = $A
Therefore, other part B of the money invested with 5% interest = $B
Interest = Principal amount × Rate of interest × Duration of investment
If the duration is 1 year,
Interest = Principal amount × Rate of interest
Return on part A = A × 0.03
Return on part B = B × 0.05
Total return = $800
So the equations will be,
0.03A + 0.03B = 800 -------(1)
Since, total money invested = $20000
Equation will be,
A + B = 20000 -------(2)
The area of the wetland that will be covered in purple loosestrife 7 years from now is modeled by this expression.
500(1.2)^7
After evaluating the expression, the model predicts that approximately 1,792 acres of the wetland will be covered in purple loosestrife 7 years from now. This is not a valid prediction because the total area of the wetland is only 1,240 acres. So a constraint on the model is that the value of the expression 500(1.2)^t must be less than or equal to 1,240.
The N stands for the exponent, if there is no number given to the exponent it is a 1