Answer:
Step-by-step explanation:
Polynomial f(x) has the following conditions: zeros of -4 (multiplicity 3), 1 (multiplicity 1), and with f(0) = 320.
The first part zeros of -4 means (x+4) and multiplicity 3 means (x+4)^3.
The second part zeros of 1 means (x-1) and multiplicity 1 means (x-1).
The third part f(0) = 320 means substituting x=0 into (x+4)^3*(x-1)*k =320
(0+4)^3*(0-1)*k = 320
-64k = 320
k = -5
Combining all three conditions, f(x)
= -5(x+4)^3*(x-1)
= -5(x^3 + 3*4*x^2 + 3*4*4*x + 4^3)(x-1)
= -5(x^4 + 12x^3 + 48x^2 + 64x - x^3 - 12x^2 - 48x - 64)
= -5(x^4 + 11x^3 + 36x^2 + 16x -64)
= -5x^3 -55x^3 - 180x^2 - 80x + 320
Answer:
y - 4 = 0
Step-by-step explanation:
They give you the y coordinate, 4, and the x coordinate as 0.
Put 4 in as y.
4 - 4 = 0. That means x = 0 and that is right.
To make sure it has a slope of zero, subtract 4 on both sides.
You get : y = 4. This means that the line will be straight and it will have a slope of zero.
Answer: In the hundreds place.
Step-by-step explanation:
1. You know that the first number has a 7 in its tenths place. This means that it is after the decimal point. You can write is as following:
x.7
Where x represents the other digits.
2. The second number has a 7 with a value that is 1,000 times greater than the value of the 7 in the first number, this means that you can know the place of the 7 in the second number if you multiply the first number by 1,000, or in other words, move the decimal point three places to the rigth. Therefore:
x.7*1000=7xx
3. As you can see, the 7 is in the hundred place in the second number.
The answer is 3597. You subtract when it says he's diving because he's losing altitude and you add when it says hes climbing because hes going up.
Answer:
96 cm
Step-by-step explanation:
16 cm times 6 cm = 96 cm
