formula for the slope of a line, problem solving by solving simpler parts first, and cartesian plane for graphing.
Answer:
A polynomial function that meet the conditions is x³ - 8x² + 5x + 14 = 0
Step-by-step explanation:
Hi there!
Let´s start writting a generic factored function. In this case, the function has 3 zeros so that the factored form will have 3 terms:
(x + a)(x + b)(x + c) = 0
For this expression to be 0, either (x+a) = 0 or (x+b) = 0 or (x+c) = 0
Then:
x + a = 0 ⇒ x = -a
x + b = 0 ⇒ x = -b
x + c = 0 ⇒ x = -c
Then, the values "a", "b" and "c" are equal to the zeros of the function but with opposite sign. Then, in our case:
a = 1
b = -2
c = -7
Then, the polynomial fuction will be:
(x + 1)(x - 2)(x - 7) = 0
Apply distributive property:
(x² - 2x + x -2)(x -7) = 0
(x² - x - 2)(x - 7)
x³ - x² - 2x - 7x² + 7x + 14 = 0
x³ - 8x² + 5x + 14 = 0
Then, a polynomial function that meets the conditions is:
x³ - 8x² + 5x + 14 = 0
Have a nice day!
Remove the parenthesis
4m+3m-2m-2
Combine like terms add 4 to 3m =7 subtract 7 from 2 = 5m
Drop the 2 so your answer would be
B
5m-2
Answer:
x = 17 degrees
Complementary Angle
Step-by-step explanation:
x is a complementary angle, this means that when you add it's angle with another angle, the sum would be 90 degrees
To figure out what x is, subtract 73 from 90:
90 - 73
which gives you 17
therefore, x = 17
-- At 11 AM, when Mel starts out, Juan has already covered 60 miles.
-- After that, since they're traveling in opposite directions, the distance
between them increases (60 + 50) = 110 miles every hour.
Let's call 'H' the number of hours after 11 AM.
Then the distance between them is
D = 110H + 60
When is this distance 830 miles ? Wouldn't you like to know !
830 = 110H + 60
Subtract 60 from each side:
770 = 110H
Divide each side by 110 :
H = 770 / 110 = 7 .
It happens 7 hours after 11 AM.
That would be <u>6:00 PM</u> .
