36-4.5x+36=102-7.5x-60
72-4.5x=42-7.5x
72+3.5x=42
3.5x=-30
x=8.57
Answer:
f(x) = x³ + x² - 5x + 3
Step-by-step explanation:
The cubic polynomial has zeros at 1, 1, - 3.
Therefore, x = 1, 1, - 3 are the roots of the polynomial and hence, (x - 1), (x - 1) and (x + 3) will be factors of the cubic polynomial.
Hence, we can write the polynomial as a function of x as
f(x) = (x - 1)(x - 1)(x + 3)
⇒ f(x) = (x² - 2x + 1)(x + 3)
⇒ f(x) = x³ - 2x² + 3x² + x - 6x + 3
⇒ f(x) = x³ + x² - 5x + 3
So, this is the cubic polynomial function in standard form. (Answer)
Answer:
5. (x, y) ⇒ (x +5, y +1)
6. (x, y) ⇒ (x +4, y -1)
Step-by-step explanation:
A translation rule will generally have the form ...
(x, y) ⇒ (x +h, y +k)
where (h, k) is the horizontal and vertical distance to the right and up that the figure is being translated.d
5) The image is 5 units right and 1 unit up from the original, so in the above formula, (h, k) = (5, 1) and the translation rule is ...
(x, y) ⇒ (x +5, y +1)
__
6) The image is 4 units right and 1 unit down from the original, so (h, k) = (4, -1) and the transformation rule is ...
(x, y) ⇒ (x +4, y -1)
Answer:
she has 4 quarters because 4 quarters equals $1 and she has 12 nickles because 12 × 5 =60
Answer:
8.5*
Step-by-step explanation:
825 million is
825,000,000
so you need to do 8.25 and then 10 to the power of 8
so the answer is 8.5*
