Answer:
Since A={a,b}, then 
. Remember that the Cartesian Product of two sets A, B is defined by
. Then
Answer:
A negative exponent means that the number will be a decimal.
so 4 X 10^-9 (-9 being the exponent of 10)
the answer to this equation would be 0.000000004 because the decimal moves 9 times to the left
Answer:
I(x) = 12x² + 8x + 5
Step-by-step explanation:
* Lets talk about the solution
- P(x) is a quadratic function represented graphically by a parabola
- The general form of the quadratic function is f(x) = ax² + bx + c,
where a is the coefficient of x² and b is the coefficient of x and c is
the y-intercept
- To find I(x) from P(x) change each x in P by 2x
∵ P(x) is dilated to I(x) by change x by 2x
∵ I(x) = P(2x)
∵ P(x) = 3x² + 4x + 5
∴ I(x) = 3(2x)² + 4(2x) + 5 ⇒ simplify
∵ (2x)² = (2)² × (x)² = 4 × x² = 4x²
∵ 4(2x) = 8x
∴ I(x) = 3(4x²) + 8x + 5
∵ 3(4x²) = 12x²
∴ I(x) = 12x² + 8x + 5
Answer:y= -9x-25
Step-by-step explanation: Write the slope-intercept form of an equation of the line with slope -9 and passes through the point (-2, -7).
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Form:: y = mx + b
Solve for "b"::
-7 = -9*-2 + b
-7 = 18 + b
b = -25
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Equation:
y = -9x - 25
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Cheers,
Stan H.
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point slope formula
y-y1=m(x-x1)
y+7= -9(x+2). Notice that we are subtracting a negative, so we have to add.
y+7=-9x-18
y= -9x-25
