9514 1404 393
Answer:
x = -1, 1, 9
Step-by-step explanation:
You want x such that f(x) = g(x). Subtracting g(x) from both sides of this equation lets us rewrite it as ...
f(x) -g(x) = 0
x³ -9x² -(x -9) = 0
x²(x -9) -1(x -9) = 0 . . . factor the first pair of terms
(x² -1)(x -9) = 0 . . . . . . use the distributive property
(x -1)(x +1)(x -9) = 0 . . . . factor the difference of squares
Values of x that make these factors zero will make f(x) = g(x):
x = -1, 1, 9 for f(x) = g(x)
Answer:
50
Step-by-step explanation:
Because the first digit can only be odd, there are 5 possible numbers
(1, 3, 5, 7, and 9)
The second digit can be any number because they didn't really say anything about it, meaning there are 10 possibilities (REMEMBER! you can use 0 as the 2nd digit in a number! Just not as the first)
0 -> 9
So, 5 x 10 = 50
Answer:
Step-by-step explanation:
Convert these mixed fractions to improper fractions.
3 3/5 = 18/5
-8 1/3 = -25/3
Now, it is easier to multiply them. Multiply the numerators and the denominators.
<u>18</u> x <u> </u> <u>25</u> = <u>450</u>
5 3 15
Simplify the final answer by dividing 450 ÷ 15, which is 30.
The answer is length of 69 units like you said
Answer:
Figure 4
because they both have same sizes