Answer:
The answer is greater than 51
Step-by-step explanation:
- 5.4 rounds to about 5
- 47 + 5 = 52
- 52 > 51
Answer:


Science class had a higher average
Step-by-step explanation:
Given

g(x) table
Solving (a): f(2)
We have:

So:



Solving (b): g(2)
From the given table.

Solving (c): f(4) or g(4); which is greater

So:



For g(4): Notice that in the table of g(x); g(x) increases by 2 when x increases by 1
This means that:

So




<em>Hence, g(4) i.e. Science class is greater</em>
Answer:
The original length was 41 inches and the original width was 16 inches
Step-by-step explanation:
Let
x ----> the original length of the piece of metal
y ----> the original width of the piece of metal
we know that
When squares with sides 5 in long are cut from the four corners and the flaps are folded upward to form an open box
The dimensions of the box are

The volume of the box is equal to


so

simplify
-----> equation A
Remember that
The piece of metal is 25 in longer than it is wide
so
----> equation B
substitute equation B in equation A

solve for y

Solve the quadratic equation by graphing
using a graphing tool
The solution is y=16
see the attached figure
Find the value of x

therefore
The original length was 41 inches and the original width was 16 inches
C = 10m + 30, where C is total cost and m is # of months
C = 10(5) + 30
C = 50 + 30
C = $80
$160 = 10m + 30
160 - 30 = 10m
130/10 = m
m = 13 months
Hope that helps
➡Answer: x=√(e^y-2)
❇Explanation:
Step1: Let f(x)=y,then
↪y=ln(x²+2)
Step2: Converting it into exponential form,
↪e^y=x²+2
↪x²=e^y-2
Step3: Taking square root of both sides,
↪x=√(e^y-2)
❇Note:
ln means log with base e.
So in step 2 , base e of ln (x²+2) goes to other side in the form e^y. That is simply the property of log I used there..
Hope this helps!