Answer:
-2 and 5
Step-by-step explanation:
If roots of a quadratic are "a" and "b", then (x-a) and (x-b) are factors. Then the quadratic can be written as ...
y = (x -a)(x -b) = x^2 -(a+b)x +ab
That is, the constant (-10) is the product of the roots, and the x-coefficient (-3) is the opposite of their sum.
In short, you want a solution pair that has a sum of 3. Only one answer qualifies: -2 and 5.
Answer:
the answer is A ........._________---------
Answer:
C
Step-by-step explanation:
Take the first number from the money earned number list. Then, divide it by the first number from the other side. This way you will find the rate of change. Do that to every answer choice, and compare the rate of changes to find the greater one.
This problem involves only one variable, so we stick to one horizontal line, which represents p values. There is no vertical axis.
If 4p+1>-7, we solve for p by subtracting 1 from both sides: 4p>-8; then we divide both sides by 4, obtaining p>-2 Draw an open circle at p=-2 and from this open circle draw an arrow to the right.
If 6p+3<33, 6p<30. Dividing both sides by 6, p<5. Draw an open circle at p=5 and from this open circle draw an arrow to the right.
Now determine the p values for which your two arrows coincide. The first arrow begins at p=-2 and extends to the right from there; the second arrow begins at p=5 and extends to the left. So, the only coincidence of the two arrows is between -2 and +5 (noting that the arrows do NOT touch p=-2 or p=5).
The solution set can be writtten as -2<p<5, or as (-2,5).
