Answer:
127/14
Step-by-step explanation:
39/7 + 7/2 = 78/14 + 49/14
78/14 +49/14 = 127/14
Answer:
n > -4
Step-by-step explanation:
1) Combine like terms.
13 + n > 9
2) Isolate n. (subtract 13 from both sides)
n > -4
Answer:
<ABC = 70 degrees
<AMC = 60 degrees
< AMB = 60 degrees
Step-by-step explanation:
<ABC = 180-110 = 70 degrees
<AMC = 2x + 60 = 180
2x = 180 - 60
x = 120/2
x = 60
<AMB = 180/3 = 60
Answer:
C. between 3.5 and 4
Step-by-step explanation:
We are given
Since, we have to solve for x
so, firstly we will set them equal
we can multiply both sides by x
and we get
now, we can use graphing calculator
and find intersection point between y1 and y2
so, we can see that
x=3.538 lies between 3.5 and 4
so,
C. between 3.5 and 4
Lets calculate linear equation
assume
y = f(x)= mx +b
now given
f(0) = 2
m×0+b = 2
b = 2
so b = 2
given f(4) = 0.125 = 1/8
m×4 + 2 = 1/8
4m = 1/8-2= -15/8
m = -15 /(8×4) = -15/32
so linear equation is
y = mx + b = -15x/32 + 2
exponential equation is same as you have written
y = 2(0.5)^x
now put values of x in each equation to get value of y
x =0
linear y = -15×0/32+2 = 2
exp y = 2(0.5)^0 = 2×1 = 2
x =1
linear y = -15×1/32+2 = 2-15/32= 49/32
exp y = 2(0.5)^1 = 2×1/2 = 1
x =2
linear y = -15×2/32+2 = 2-30/32= 17/16
exp y = 2(0.5)^2 = 2×1/4 = 0.5
x =3
linear y = -15×3/32+2 = 2-45/32= 19/32
exp y = 2(0.5)^3 = 2×1/8= 0.25
x =4
linear y = -15×4/32+2 = 2-60/32= 4/32 = 0.125
exp y = 2(0.5)^4= 2×1/16 = 1/8= 0.125
