You have that:
1. By definition, a binomial is a polynomial formed by two terms.
2. A quintic binomial is a binomial of degree 5. This means that its highest exponent is 5.
3. Keeping this on mind, you must identify which binomial has degree 5.
4. As you can see, the expression <span>3x^5+2 is a binomial, because it has two terms and the highest degree is 5.
5. Thefore, the answer is: </span>3x^5+2
The answer is D. The slope is 5 and (2, 4) is on the line.
Year 1: 500 + 0.25*500 = 500 [1 + 0.25]
Year 2: 500*[ 1 + 0.25] * [1 + 0.25] = 500 [1 + 0.25]^2
Year x: 500 [1 + 0.25]^x
Option d: A(x) = 500[1 + .25]^x, where .25 is the interest rate
Answer:
14.3 km/h to 3 significant figures
Step-by-step explanation:
Let time travelling upstream be t1 hours and downstream = t2 hours.
t1 + t2 = 1.75..........................(1)
Let v be the speed of the boat in still water.
12 / t1 = v - 3.........................(2)
12 / t2 = v + 3........................(3)
From (1) and (3) , substituting for t2:-
12 / (1.75 - t1) = v + 3 ..................(4)
Subtract:- (2) - (4):-
12 / t1 - 12 / (1.75 - t1) = -6
12(1 .75 - t1) - 12t1 = -6t1(1.75 - t1)
21 - 12t1 - 12t1 = -10.5t1 + 6t^2
6t1^2 + 13.5t1 - 21 = 0
Solving this gives t1 = 1.058 hours
Therefore the speed in still water (v) = 12/1.058 + 3 = 14.3 to 3 sig figs
The equation of line perpendicular to 4y = x-8 passing through (3,-3) is:
Step-by-step explanation:
Given equation of line is:
We have to convert the given line in slope-intercept form to find the slope of the line
So,
Dividing both sides by 4
Let m1 be the slope of given line
Then
Let m2 be the slope of line perpendicular to given line
As we know that produt of slopes of two perpendicular lines is -1
The slope intercept form of line is given by:
Putting the value of slope
to find the value of b, putting (3,-3) in equation
Putting the value of b in the equation
Hence,
The equation of line perpendicular to 4y = x-8 passing through (3,-3) is:
Keywords: Equation of line, slope
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