If a< c< b then a<c and c<b
Separate the equation into 2 separate ones and solve them:
X-9 < 4x +3
Subtract 3 from both sides:
X-12 < 4x
Subtract x from both sides:
-12< 3x
Divide both sides by 3:
X > -4
4x+3 < 27
Subtract 3 from both sides
4x < 24
Divide both sides by 4
X <6
Combine to get one inequality:
-4<x<6
Answer:
22/35
Step-by-step explanation:
-12/14=-6/7
-6/7*-11/15=66/105=22/35
The area of a square is simply the side length squared and we are given that the area is 125 so:
s^2=125
s=√125
s=5√5
Now using the area equation again, and adding 1 inch to s we have:
A=(s+1)^2, and using s found above we have:
A=(5√5+1)^2
A=125+10√5+1
A=126+10√5 in^2
A≈148.36 in^2 (to nearest hundredth of a square inch)
Answer:
As per the statement: Hannah already had 44 photos on her camera when she arrived in Rome.Then she took 24 photos each day for 6 days.
Let x represented day and y represents the number of photo
Total number of 24 photo in x days is, 24x
then; as per the given statement our equation becomes;
y = 24x+44 .....[1]
now, to find the total number of photos took by Hannah for 6 days in Rome;
put x = 6 in [1] we get;
y = 24(6) + 44 = 188
Therefore, the total number of photos on Hannah's Camera is, 188 photos.
To, find the initial value for the linear function y =24x +44.
Initial value or y-intercept, is the output value when the input of a linear function is zero i.e, x = 0.
Substitute x =0 in y =24x +44
y= 24(0) + 44
y = 0 + 44
y = 44
Therefore, the initial value for the equation y =24x+44 is 44 photos.