What are the greatest numbers : 4, -8, 4, 8, 7, -3, -9, 2, 6, 1, -5, 5, -2, 0.
myrzilka [38]
Answer:
Step-by-step explanation:
I would say 8 is the greatest number
the order from least to greatest
-9,-8,-5,-3,-2,0,1,2,4,4,5,6,7,8
Step-by-step explanation:
Here, f(x) is the given polynomial.
By remainder Theorem,
When divided by (3x-1),
f(1/3) = -3........(1)
When divided by (x+1),
f(-1) = -7.........(2)
<em>Another</em><em> </em><em>polynomial</em><em> </em><em>is</em><em> </em><em>3</em><em>x</em><em>²</em><em>+</em><em>2</em><em>x</em><em>-</em><em>1</em>
Solving,
3x²+2x-1
= 3x²+3x-x-1
=3x(x+1)-(x+1)
=(3x-1)(x+1)
So
f(x) = (3x-1)(x+1)Qx + (ax+b)
For f(-1),
-7 = -a+b
b= a-7
For f(1/3),
-3 = a/3+b
or, -3 = a/3+a-7
or, 4×3 = 4a
or a = 3
Also, b = 3-7 =-4
Hence, remainder is (3x-4)
Answer:
D.
Step-by-step explanation:
According to converse of the Pythagorean Theorem, that if the square of the third side (longest side) of a triangle equals the sum of the other two shorter sides, therefore, the triangle formed must be a right triangle.
From the side lengths given, the following satisfies the Pythagorean triple:
5² + 12² = 13².
Therefore, the procedure to use to confirm the converse of the Pythagorean Theorem would be to draw the two shortest side, 5 cm and 12 cm, so that a right angle will be between them. The side measuring 13 cm should therefore fit in to form a right triangle.
Answer:
x = 6
Step-by-step explanation:
Given
3x + 30 + x = 10 + 2x + 5x + 2 , simplify both sides
4x + 30 = 7x + 12 ( subtract 7x from both sides )
- 3x + 30 = 12 ( subtract 30 from both sides )
- 3x = - 18 ( divide both sides by - 3 )
x = 6
