Answer:
<em>3.36in</em>
Step-by-step explanation:
The total surface area of the cardboard is expressed as;
TSA = 2(LW + LH + WH)
L is the length = 4in
W is the width
H is the height = 7in
TSA = 130in²
Substitute the given values into the formula and get the width W
TSA = 2(LW + LH + WH)
130 = 2(4W+4(7) + 7W)
130 = 2(11W+28)
130 = 22W+56
22W = 130 - 56
22S = 74
W = 74/22
<em>W = 3.36in</em>
<em>hence the width of the photo is 3.36in</em>
The plot of the PDF shows the distribution is symmetric. This means that the mean is the same as the median, and that the 50% of the distribution lies to other side of this mean, i.e.
For this distribution, .
The statement that describes better about function is "Both functions are increasing, but function g increases at a faster average rate." since option (c) is correct.
Given the table
x f(x)
-2 -46
-1 -22
0 -10
1 -4
2 -1
We have to choose which statement describes better about function
Let us assume
at x=0, f(0)=-10
So, -10 =a+c
Similarly, by satisfying the above table in the f(x)
So we can say that f(x) is an increasing function.
ln(1/3) < 0
So, g^ \prime (x) > 0
So, g(x) is an increasing function.
For any x∈f(x) and x∈g(x)
So, g increases at a faster average rate
Thus, Both functions are increasing, but function g increases at a faster average rate.
Learn more about increasing functions here: brainly.com/question/12940982
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Answer:
Explanation:
All the other expressions can be factorized. Let's see why:
1)
This is the sum of the cubes, and this can be factorized as follows:
In this case, a=m and b=1, so we can factorize as
2)
This is the difference between two cubes, and this can be factorized as follows:
In this case, a=m and b=1, so we can factorize as
3)
This is the difference between two square numbers, and it can be factorized as follows
In this case, a=m and b=1, so we can factorize as
Subtract 7 from both sides
x^2 - 6x - 7 = 7 - 7
Simplify
x^2 - 6x - 7 = 0
Answer :
The final solutions to the quadratic equation are:
x = 7, -1