3x+5x-12=180
8x=180+12
8x=192
x=192/8
x=24
angle 1 = 5x-12
=5(24)-12
=120-12
=108
angle 2= 3x =3*24=72
angle 1 = angle 9
angle 9= 108
Answer:
a) Not a function
b) It is a function
c) It is a function
Step-by-step explanation:
a) f(S) is not completly well defined, becuase if the bistring has multiple zeros, you need to pick one and there is not specified method in how you would do so. Another reason for which f is not well defined as a function is that for a bistring with only 1's, f is not defined because there is no zero.
b) This is a function. f(S) returns a concrete and unique integer number for each bistring S. If the bistring has only zeros, the f(S) = 0.
c) This is well defined as a function. It compensates for the failures of the first definition:
- If multiple zeros appears in S, you pick the first one, so there is one possible value for f(S)
-If no zeros appear, f is still well defined because it takes the value 0, as specified in the definition.
Answer:
The larger number is -6, the smaller number is -15
Step-by-step explanation:
We have two numbers, a and b.
We know that one number is larger than another by 9.
Then we can write:
a = b + 9
then a is larger than b by 9 units.
If the greater number is increased by 10 (a + 10) and the lesser number is tripled (3*b), the sum of the two would be -41:
(a + 10) + 3*b = -41
So we got two equations:
a = b + 9
(a + 10) + 3*b = -41
This is a system of equations.
One way to solve this is first isolate one variable in one of the two equations:
But we can see that the variable "a" is already isolated in the first equation, so we have:
a = b + 9
now we can replace that in the other equation:
(a + 10) + 3*b = -41
(b + 9) + 10 + 3*b = -41
now we can solve this for b.
9 + b + 10 + 3b = -41
(9 + 10) + (3b + b) = -41
19 + 4b = -41
4b = -41 -19 = -60
b = -60/4 = -15
b = -15
then:
a = b + 9
a = -15 + 9 = -6
a = -6
Answer:
0.28
Step-by-step explanation:
Answer:
y-intercept is 3
Step-by-step explanation:
We are given table
x: -8 -4 4 8
y: -3 0 6 9
We can select any two points
Firstly, we will find slope
now, we can plug values
now, we can use point slope form of line
we can plug values
now, we can solve for y
For finding y-intercept , we can plug x=0
So,
y-intercept is 3
