Answer:
y = - 6x + 1
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
here m = - 6, hence
y = - 6x + c ← is the partial equation
To find c substitute (- 1, 7) into the partial equation
7 = 6 + c ⇒ c = 7 - 6 = 1
y = - 6x + 1 ← equation of line
Answer:
512
Step-by-step explanation:
Suppose we ask how many subsets of {1,2,3,4,5} add up to a number ≥8. The crucial idea is that we partition the set into two parts; these two parts are called complements of each other. Obviously, the sum of the two parts must add up to 15. Exactly one of those parts is therefore ≥8. There must be at least one such part, because of the pigeonhole principle (specifically, two 7's are sufficient only to add up to 14). And if one part has sum ≥8, the other part—its complement—must have sum ≤15−8=7
.
For instance, if I divide the set into parts {1,2,4}
and {3,5}, the first part adds up to 7, and its complement adds up to 8
.
Once one makes that observation, the rest of the proof is straightforward. There are 25=32
different subsets of this set (including itself and the empty set). For each one, either its sum, or its complement's sum (but not both), must be ≥8. Since exactly half of the subsets have sum ≥8, the number of such subsets is 32/2, or 16.
Answer:
25 in ^2
Step-by-step explanation:
First find the area of the circle
A = pi r^2
A = 3.14 ( 4.3)^2
A =58.0586
The take the fraction of the circle that is shaded
A circle is 360 degrees
155/360
155 /360 * the total area = area shaded
31/72 * 58.0586 = 24.99745278 in ^2
Rounding yields 25 in ^2
Answer:
C
Step-by-step explanation:
A constant rate per week is b = 1.00
1.06 - 1.00 = 0.06
Move the decimal over 2 places to get 6% which is the share's value
Answer:
60.30
Step-by-step explanation:
Rounded to the nearest 0.01 or the Hundredths Place.
