Answer:
The remaining solutions are -7 and 3.
Step-by-step explanation:
The synthetic division is shown in the attachment. After dividing the first two found factors from the polynomial, the remaining quadratic is ...
x^2 +4x -21 = 0
Its rational roots will be factors of -21, and the sum of their opposites will be 4. Knowing that 21 = 3·7, we can guess that the remaining roots are -7 and 3. The synthetic division confirms that. (A graph also confirms it.)
See picture for reply and solution steps.
Answer:
30 ways
Step-by-step explanation:
Given the following information:
- 3 different sandwiches
- 2 different salads
- 5 different drinks
Let assume that the combo contains: 1 sandwich, 1 salad, and 1 drink
Hence, we have:
- The total possible ways of choosing sandwiches she can choose is: 3
- The total possible ways of choosing salads she can choose is: 2
- The total possible ways of choosing drinks she can choose is: 5
=> Total ways = 3*5*2 = 30 ways or there are 30 different combos Keisha can choose
Hope it will find you well.
Step-by-step explanation:
The system of equations for eq 1 which is 3x + y = 118 represents the Green High School which filled three buses(with a specific number of students identified as x) and a van(with a specific number of students identified as y) with a total of 118 students.
for eq 2; 4x + 2y = 164; represents Belle High School which filled four buses(with a specific number of students identified as x) and two vans(with a specific number of students identified as y) with a total of 164 students.
The solution represents the specific number of students in the buses and vans in eq1 and eq 2 with x being 36 students and y being 10 students.
substituting 36 for x and 10 for y in eq 1;
3(36) + 10 = 108 + 10 = 118 total students for Green High School
substituting 36 for x and 10 for y in eq2;
4(36) + 2(10) = 144 + 20 = 164 total students for Belle High school
Answer:
36 cm^2
Step-by-step explanation:
The formula for the area of a parallelogram is area = base (height). so area - 6(6). So the answer is 36 square cm.
