Answer:{0,2}
Step-by-step explanation:
Substitute 4x in for the y
2x^2-4x=0
Factor out GCF 2x
2x(x-2)=0
Set each factor = 0 and solve
2x=0 x=0 x-2=0 x=2
Answer:
EF / LM = 1 / 4
Step-by-step explanation:
Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, translation, dilation and rotation.
Dilation is the enlargement or reduction in the size of a figure. If a point A(x, y) is dilated by a scale factor of k, the new point is at A'(kx, ky).
Translation is the movement of a point right, left, up or down. If a point A(x, y) is translated a units left and b units down, the new point is at A'(x - a, y - b).
Translation preserves the size and shape of an object. Dilation preserves the shape but not the size.
Cdef maps to jklm with the transformation (x,y) to (4x,4y) to (x-4,y-9).
CDEF was first dilated by a scale factor of 4 to get (4x,4y) before it was translated by (x-4,y-9). Since dilation changes the size of the figure, hence JKLM would be 4 times the size of CDEF. Therefore:
LM / EF = 4
EF / LM = 1 / 4
The
<u>correct answer </u>is:
x²+2x+3.
Explanation:

We need to divide each term of the numerator by the denominator. For the <u>first term</u>:

Dividing the coefficients, we have 5/5 = 1.
When dividing the variables, we use the quotient rule: when dividing powers that have the same base, subtract the exponents. This gives us:
x³/x = x³/x¹ = x³⁻¹ = x²
For the first monomial, this gives us 1x² = x².
The <u>second term</u>:

Dividing the coefficients, we have 10/5 = 2.
Dividing the variables, we again use the product rule:
x²/x = x²/x¹ = x²⁻¹ = x¹ = x
Together this gives us 2x.
The <u>third term</u>:

Dividing the coefficients, we have
15/5 = 3.
Dividing the variables, we have x/x; when you divide something by itself, the answer is 1. This gives us:
3*1 = 3.
Together our quotient is x²+2x+3.
Step-by-step explanation:
(3x - 5)(2x + 1)
= 6x^2 + 3x - 10x - 5
= 6x^2 - 7x - 5