Add the 2 1/2 to the other side to get rid of to isolate the x
-27/4= 1/2x divide by 1/2
-27/2=x
Answer:
x=1/6 or 1.16 (6 repeating) or x=6^-1
Step-by-step explanation:
y=6x-1
substitute y =0
0=6x-1
Move the variable to the left
-6x =-1
Divide on both dies
This is in gradient intercept form (or slope intercept form)
y = mx + b
in this case y = -1.2x + 26
so m (the slope) = -1.2
and the y intercept = 26
I'm not sure what intercept they're asking for.
if you wanted to find the x intercept, just substitute.
y = 0 and find x.
For this case we have the following compound inequality:
11 <7 + 0.25t ≤ 15
We must solve this inequality for time.
We have then:
For 11 <7 + 0.25t:
11 <7 + 0.25t
11 - 7 <0.25t
4 <0.25t
4 / 0.25 <t
16 <t
For 7 + 0.25t ≤ 15:
7 + 0.25t ≤ 15
0.25t ≤ 15 - 7
0.25t ≤ 8
t ≤ 8 / 0.25
t ≤ 32
Therefore, the answer is:
16 <t ≤ 32
Answer:
16 <t ≤ 32
Clara has the desired length in more than 16 weeks, but up to 32 weeks.
Please find the attachment.
Let x represent the side length of the squares.
We have been given that an open box is made from an 8 by ten-inch rectangular piece of cardboard by cutting squares from each corner and folding up the sides. We are asked to find the volume of the box.
The side of box will be 
and 
.
The height of the box will be 
.
The volume of box will be area of base times height.
Now we will use FOIL to simplify our expression.
Now we will distribute x.
Therefore, the volume of the box would be .
