The sum of these will simply be the sum of all the numbers 1 through 26, which is 351.
Answer:
75
Step-by-step explanation:
f(1) = 7
f(n) = 3f(n-1) + 3
So what you are trying to do here is find the recursive value (that's what it is called) for f(n). Computers love this sort of thing, but we humans have to do it slowly and carefully.
So let's try f(2)
That means that f(2) = 3*f(n-1) + 3
but if f(2) is used it means that you have to know f(2-1) which is just f(1) and we know that.
so f(2) = 3*f(1)+3
f(2) = 3*7 + 3
f(2) = 21 + 3
f(2) = 24
Now do it again. We now know F(2), so we should be able to find f(3)
f(3) = 3*f(3 - 1) + 3
f(3) = 3*f(2) + 3 We know that f(2) = 24
f(3) = 3* 24 + 3
f(3) = 72 + 3
f(3) = 75
Answer:
The Exterior Angle of triangle LDR is angle d. The Remote Interior Angles are a and b.
The Exterior Angle of triangle PDR is angle 4. The Remote Interior Angles are angles 1 and 2
Explanation:
<u>Interior angles</u> are the angles that are inside the shape. The <u>remote interior angles</u> would be the 2 angles away from the exterior angle.
The <u>exterior angle</u> is the angle, made by the side of the shape and a line drawn out from an adjacent side.
I hope this helps!
Answer:
23.125$
Step-by-step explanation:
you have to divide the total amount of money by the total amount of people 92.50$/4=23.125$
Answer:
p(x - 4) = x³ - 12x² + 48x - 69
Step-by-step explanation:
To evaluate p(x - 4), substitute a = x - 4 into p(a), that is
p(x - 4) = (x - 4)³ - 5
= (x - 4)(x - 4)(x - 4) - 5 ← expand 2nd/ 3rd factors using FOIL
= (x - 4)(x² - 8x + 16) - 5 ← distribute parenthesis
= x³ - 8x² + 16x - 4x² + 32x - 64 - 5 ← collect like terms
= x³ - 12x² + 48x - 69