Answer:
-8
Step-by-step explanation:
Hello!
What we do to one side of the equation we do to the other side
7 * p = -56
Divide both sides by 7
p = -8
The answer is -8
Hope this helps!
The perpendicular equation would include a slope that is the opposite reciprocal of the original slope.
Steps:
1. Get x to the other side in the original equation. This making the slope -4 or -4/1.
2. Turn the slope into it’s opposite reciprocal m = 1/4.
3. If you use point-slope form, y - y1 = m( x - x1 ), you can substitute y1 and x1 with the numbers in the point given. But since we previously found the opposite reciprocal, we will replace “m” as well. *By the way, the subtraction of a negative makes a positive. [y + 3 = 1/4( x + 4 )]
4. Solve:
A: Distribute (y + 3 = 1/4x + 1)
B: Subtract 3 from both sides (y = 1/4x -2)
Perpendicular Equation: y = 1/4x - 2
Answer:
A
Step-by-step explanation:
Roots: - √5 , √5, and - 3
=> these are factors of the polynomial: (x + √5), (x - √5), and (x + 3).
Multiply those three factors:
(x + √5) (x - √5) ( x + 3) = [x^2 - 5] ( x + 3 ) = x^2 + 3x^2 - 5x - 15
Therefore the polynomial x^2 + 3x^2 - 5x - 15 is a polynomial with the given roots.
Answer: option B. x^3 + 3x^2 - 5x - 15
Answer:
Step-by-step explanation:
The wording "fewer than" is translated to the math symbol "less than". The variable n represents the number of students.
<em>the number of students</em> is fewer than 18
translates to ...
n < 18
__
The wording "at least" translates to the math symbol "greater than or equal to."
<em>the number of students</em> is at least 15
translates to ...
n ≥ 15
