1/8=0.125
0.125
______
8 I 1.000
- 8
______
20
- 16
_______
40
- 40
_______
0
Let's compare!
Taylor ran 57 + 48 mins total. Sum would be 105 mins.
Mark ran 62 + 53 mins total. Sum would be 115 mins.
Clearly, the two sums are different when we compare them using subtraction.
115 - 105 = 10. Mark ran 10 mins longer than Taylor.
Answer:
-7/4
Step-by-step explanation:
You are looking for the composite g(f(2)). The simplest way to solve this is to evaluate f(2) and enter the solution in to your g function.
g(f(2))=g(-(2)^2-2(2)+4)=g(-4-4+4)=g(-4)
g(-4)=4/(-4(-4)-2)=4/(16-2)=4/14=2/7
Therfor, g(f(2))=2/7 **I'm assuming the -4x-2 is all in the denominator of the g(x) function. If -2 is not in the denominator you would have
g(f(2))=4/(-4(-4)) -2=4/16 -2=1/4 -2=1/4-8/4= -7/4
2=2*1,1*2
24=1*24,2*12,6*4,3*8
19=2*8+3
2x²+19x+24
(2x+3)(x+8)
or
2x(x+8)+3(x+8)
2x²+16x+3x+24
2x²+19x+24
Answer:
This is a reflection about the x-axis.
Step-by-step explanation:
A reflection about the x-axis has the rule
[x,y]-> [x,-y].
Therefore
M[x,y] = [x,-y}
Let M=
|a b|
|c d|
Then the matrix multiplication gives
ax+by=x.............(1)
cx+dy=-y............(2)
Solving the previous equations (1) and (2) gives
a=1, b=0
c=0, d=-1
giving M as
|1 0|
|0 -1|
