Answer:
$4866.61
Step-by-step explanation:
Answer:
56
Step-by-step explanation:
The angle sum theorem *I think* is that for an n-sided shape, the total sum of its angles is 180(n-2).
The sum of a triangles' angles is 180 degrees.
Therefore 4v-44 = 180.
v - 11 = 45
v = 56 degrees
Note: always check if the answer makes sense
Answer:
y = 3 and y = x + 3
Step-by-step explanation:
The equation y = 3 whose graph is a line parallel to x-axis can be a part of the system.
Consider the equation y = x + 3.
Substitute (0, 3).
3 = 0 + 3
So, (0, 3) lies on y = x + 3 and this can also be a part of the system.
Answer:
f(n) = -n^2 -3n +5
Step-by-step explanation:
Suppose the formula is ...
f(n) = an^2 +bn +c
Then we have ...
f(1) = 1 = a(1^2) +b(1) +c
f(2) = -5 = a(2^2) +b(2) +c
f(3) = -13 = a(3^2) +b(3) +c
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Here's a way to solve these equations.
Subtract the first equation from the second:
-6 = 3a +b . . . . . 4th equation
Subtract the second equation from the third:
-8 = 5a +b . . . . . 5th equation
Subtract the fourth equation from the fifth:
-2 = 2a
a = -1
Then substituting into the 4th equation to find b, we have ...
-6 = 3(-1) +b
-3 = b
and ...
1 = -1 +(-3) +c . . . . . substituting "a" and "b" into the first equation
5 = c
The formula is ...
f(n) = -n^2 -3n +5
Answer: 5(x+1)
Step-by-step explanation:
Let the number be x
Sum of number and 1 is x+1
5 times the sum is 5(x+1)
