Answer:
Step-by-step explanation:
<u>We know that </u>
<u>We also know that </u>
<u>Since 5! = 1*2*3*4*5 is divisible by 15:</u>
- any n! with n ≥ 5 is divisible by 15.
We need to find the remainder when 1! + 2! + 3! + 4! is divided by 15 as all the rest are divisible by 15.
<u>The sum is:</u>
- 1! + 2! + 3! + 4! = 1 + 2 + 6 + 24 = 33
<u>The remainder is:</u>
As we see the remainder is 3
It would take 1.045 minutes for both substances to be at the same temperature.
Substance A started at a temperature of 96.2 and is rising at 1.4 every minute. Assuming minutes were denoted as x, the relevant expression would be:
<em>= Starting temperature + (Rate temperature is rising x number of minutes)</em>
= 96.2 + 1.4x
Substance B is reducing in temperature:
= 98.5 - 0.8x
<u>Equate both expressions:</u>
96.2 + 1.4x = 98.5 - 0.8x
1.4x + 0.8x = 98.5 - 96.2
2.2x = 2.3
x = 2.3 / 2.2
= 1.045 minutes
It would therefore take 1.045 minutes for both substances to be at the same temperature.
<em>Find out more at brainly.com/question/12012659.</em>
If the one factor of the function is (x - 4). Then the other two factor of the function will be (2x + 1) and (x + 1).
<h3>What is a factorization?</h3>
It is a method for dividing a polynomial into pieces that will be multiplied together. At this moment, the polynomial's value will be zero.
(x - 4) is the factor of the function.
f(x) = 2x³ - 5x² - 11x - 4
Then the factor of the function will be
f(x) = 2x³ - 5x² - 11x - 4
f(x) = 2x³ + x² - 6x² - 3x - 8x - 4
f(x) = x²(2x + 1) - 3x (2x + 1) - 4(2x + 1)
f(x) = (2x + 1)(x² - 3x - 4)
f(x) = (2x + 1)(x² - 4x + x - 4)
f(x) = (2x + 1)[x(x - 4) + 1 (x - 4)]
f(x) = (2x + 1)(x + 1)(x - 4)
More about the factorization link is given below.
brainly.com/question/6810544
#SPJ1
Answer:
x²
Step-by-step explanation:
-2x²- (-3x²) = x²
_______
