Answer: 51
Step-by-step explanation:
Part 1: Answer:
(x+1)(x+1)(x-6) = x^3 - 4x^2 - 11x - 6
Step-by-step explanation:
To make r a root, include (x-r) as a factor. (-1+1)(-1+1)(-1-6) is zero even though (-1-6) isn't.
(6+1)(6+1)(6-6) is zero.
Part 2 Answer:
Standard form: y = -x^4 + 12
Degree 4
left end goes down, right end goes down.
Step by step: apply the definitions of standard form, polynomial degree, and "end behavior". In other words, read the textbook.
Part 3: Answer: x = 3, x = 8
Step by step:
x^2-11x = -24
x^2-11x+24 = 0
(x-3)(x-8) = 0
x = 3 or x = 8
Part 4a Answer:
quotient 2x^2 + x - 3
remainder 1
Step by step:
2x^2 + x - 3
___________________
x-4 ) 2x^3 - 7x^2 - 7x + 13
2x^3 - 8x^2
__________
0 + x^2 - 7x + 13
x^2 - 4x
____________
0 - 3x + 13
- 3x + 12
______
1
Part 4b answer:
quotient 2x^2 - 6x + 2
remainder -20
Step by step: you have to know exactly what you are doing. Refer to textbook or Wikipedia.
dividend 2x^3 +14x^2 - 58x
divisor x+10
leading coefficient of divisor must be 1
write coefficients of dividend at top
write coefficients of dividend at left
| 2 14 -58 0
-10 | -20 60 -20
___________
| 2 -6 2 -20
Coefficients of quotient are 2 -6 2
Remainder is -20
quotient = 2x^2 - 6x + 2
He bought 3 small notebooks (3*7=21) and 3 large notebooks (3*10=30)
21+30=51
Draw the points on a graph, you will have three points and need to add the fourth to make the corners of a rectangle. After you have found the point on the missing corner of the rectangle see what its x and y coordinates are.
The answer is: (2, -2)
Answer: m∠7=130°
Step-by-step explanation:
If two parallel lines are cut by another line (transversal), each one will have four angles surrounding the intersection.
By definition, the adjacent angles of each parallel line, are supplementary, this means that they add up 180°.
Then, if m∠2=50°, then m∠3 is:
m∠3
°
By definition, the angles that are in the same relative position are know as corresponding angles and they are congruent.
Therefore:
m∠3=m∠7
m∠7=130°
