This is the concept of polynomial equations. Suppose we are given the binomial equations;
(a+b)^2
=(a+b)(a+b)
=a^2+2ab+c^2
The above answer is a trinomial, from this we can deduce that the square of a binomial is always a trinomial
Answer:
6 hours.
Step-by-step explanation:
The formula sort of has to be invented.
Al
rate = 1 shed / 2 hours
Tom
rate = 1 shed / x hours.
Together.
rate = 1 shed / 1.5 hours.
Equation
1 shed / 2 hours + 1 shed / x hours = 1 shed / 1.5 hours.
1/2 + 1/x = 1/1.5 Put the fractions over a common denominator.
(x + 2) / 2x = 1 / 1.5 Cross Multiply
1.5(x + 2) = 2x Remove the Brackets.
1.5x + 3 = 2x Subtract 1.5x from both sides
3 = 2x - 1.5x
3 = 0.5x Multiply both sides by 2
6 = x
It would take Al 6 hours to do the shed on his own.
Answer:
f(x) = -5/9 x + 5 1/9
Step-by-step explanation:
f(2)=4 and f(−7)=9 means the line pass through (2,4) and (- 7,9)
f(x) = mx + b
m = (y-y') / (x-x') = (9 - 4) / (- 7 - 2) = - 5/9
for (2,4) : b = f(x) - mx = y - mx = 4 - (- 5/9) x 2 = 4 + 10/9 = 46/9 = 5 1/9
f(x) = -5/9 x + 5 1/9
check for (-7, 9) f(-7) = (-5/9) * (-7) + 5 1/9 = 35/9 + 46/9 = 81/9 = 9
Answer:
the answer is undefined
Step-by-step explanation:
If a function, f(x), is continuous (that is, has values for every x in the interval) from x=- 1 to x=1 ), then the average rate of change is:( total amount that f(x) changes ) / (total amount that x changes)( f(1) - f(-1) ) / ( (1) - (-1) )( f(1) - f(-1) ) / 2The variable x changes from (-1) to (1). That value is 2. [note: (1)-(-1) ]The function changes from f(-1) to f(1). You must determine f(1)-f(-1) and use that value as the numerator.Fill in the values to determine the average rate of change: ( f(1) - f(-1) ) / 2However, if the plot of y values is not a function, and there is some x value between -1 and 1 for which f(x) is undefined, then the rate of change of y from f(-1) to f(1) is also undefined.
Answer:
see explanation
Step-by-step explanation:
Given the sequence
1, 4, 9, 16, ....
has n th term
= n²
(a)
Given the sequence 2, 5, 10, 17, ......
Note the terms are 1 more than the previous given sequence, thus
= n² + 1
(b)
Given 2, 8, 18, 32, ......
Note the terms are twice the original given sequence, thus
= 2n²