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9514 1404 393
Answer:
(c) g(x) = 1/3·f(x)
Step-by-step explanation:
You can pick a point, such as the vertex at (2, -3) on f(x) and see which of the transformations gives you a point on the graph of g(x).
You will find that g(x) represents a vertical scaling by a factor of 1/3, so ...
g(x) = 1/3·f(x)
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The point (2, -3) on f(x) corresponds to the point (2, -1) on g(x).
Answer:
x=35
Step-by-step explanation:
When a is parallel to b, the two angles will add to 180
x+ 3x+40=180
Combine like terms
4x+40 =180
Subtract 40 from each side
4x= 180-40
4x= 140
Divide by 4
4x/4 = 140/4
x=35
Answer:
x = 65 , y = 64
Step-by-step explanation:
y - 16 and 2y + 4 are same- side interior angles and sum to 180° , that is
y - 16 + 2y + 4 = 180
3y - 12 = 180 ( add 12 to both sides )
3y = 192 ( divide both sides by 3 )
y = 64
then
2y + 4 = 2(64) + 4 = 128 + 4 = 132
the exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
2y + 4 is an exterior angle of the triangle , then
x + 67 = 132 ( subtract 67 from both sides )
x = 65
Answer:
See explanation and attachment.
Step-by-step explanation:
One of the ways to represent polynomial is the use of algebraic tiles.
To represent the polynomial x²-5x-1, we would use algebraic tiles to represent each of the three terms.
Algebra tiles come with different colors and sizes. Each size is equivalent to a degree of different monomials.
The x² tile is a monomial with degree of 2, the x tile is a monomial with degree of 1 and the unit tile (constant) is a monomial with degree of 0.
Let the shaded tiles represent the positive tiles and the unshaded tile represent the negative tiles.
Find attached the diagram for the tiles.
To represent the polynomial x² - 5x - 1, we would need 1 shaded x² tile, 5 unshaded x tiles and 1 unshaded unit tile. Then we would arrange the tiles to correspond with the polynomial.