Answer:
c4+8c3+−3c2+−7c
Step-by-step explanation:
Let's simplify step-by-step.
−3c4−5c2−7c+4c4+8c3+2c2
=−3c4+−5c2+−7c+4c4+8c3+2c2
Combine Like Terms:
=−3c4+−5c2+−7c+4c4+8c3+2c2
=(−3c4+4c4)+(8c3)+(−5c2+2c2)+(−7c)
=c4+8c3+−3c2+−7c
Answer:
294 pages are in this book
Step-by-step explanation:
Answer:
y = 1/12 (x − 5)²
Step-by-step explanation:
We can solve this graphically without doing calculations.
The y component of the focus is y = 3. Since this is above the directrix, we know this is an upward facing parabola, so it must have a positive coefficient. That narrows the possible answers to A and C.
The x component of the focus is x = 5. Since this is above the vertex, we know the x component of the vertex is also x = 5.
So the answer is A. y = 1/12 (x−5)².
But let's say this wasn't a multiple choice question and we needed to do calculations. The equation of a parabola is:
y = 1/(4p) (x − h)² + k
where (h, k) is the vertex and p is the distance from the vertex to the focus.
The vertex is halfway between the focus and the directrix. So p is half the difference of the y components:
p = (3 − (-3)) / 2
p = 3
k, the y component of the vertex, is the average:
k = (3 + (-3)) / 2
k = 0
And h, the x component of the vertex, is the same as the focus:
h = 5
So:
y = 1/(4×3) (x − 5)² + 0
y = 1/12 (x − 5)²
Answer:
all real numbers
Step-by-step explanation:
Both a(x) and b(x) are polynomials. The set of polynomials is closed on multiplication, so (b•a)(x) will also be a polynomial. <em>All</em> polynomials are defined for <em>all real numbers</em>. The domain is the set of input values (x) for which the function is defined.
The domain of (b•a)(x) is all real numbers.
Answer:
if the question is what number of 38 percent, then the answer is 342