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>
Answer:
Step-by-step explanation:
All we have to do is input the given values of x into the functions.
The first function:
f(x) = x^2 - 5x - 6
f(0) = 0^2 - 5(0) - 6 = 0 - 0 - 6 = -6
f(0) = -6
f(2) = 2^2 - 5(2) - 6 = 4 - 10 - 6 = -12
f(2) = -12
f(-1) = -1^2 - 5(-1) - 6 = 1 + 6 - 6 = 1
f(-1) = 1
f(6) = 6^2 -5(6) - 6 = 36 - 30 - 6 = 0
f(6) = 0
The second function:
f(x) = x^3 - x^2 - 12
f(0) = 0^3 - 0^2 - 12 = 0 - 0 - 12 = -12
f(0) = -12
f(2) = 2^3 - 2^2 - 12 = 8 - 4 - 12 = -8
f(2) = -8
f(-1) = -1^3 - (-1)^2 - 12 = -1 - 1 - 12 = -14
f(-1) = -14
f(6) = 6^3 - 6^2 - 12 = 216 - 36 - 12 = 168
f(6) = 168
The third function:
f(x) = 5 * 2^x
f(0) = 5 * 2^0 = 5 * 1 = 5
f(0) = 5
f(2) = 5 * 2^2 = 5 * 4 = 20
f(2) = 20
f(-1) = 5 * 2^-1 = 5 * 0.5 = 2.5
f(-1) = 2.5
f(6) = 5 * 2^6 = 5 * 64 = 320
f(6) = 320
M=c•p
multiplying the prince by the number of cars washed will give you the total amount of money the school has raised
Answer:
The equation 'y = y + 1' represents NO SOLUTION.
Hence, option 'C' is true.
Step-by-step explanation:
a)
6a = 9a
subtract 9a from both sides
6a - 9a = 9a - 9a
-3a = 0
divide both sides by -3
-3a / -3 = 0/-3
Simplify
a = 0
b)
5x = 28
divide both sides by 5
5x/5 = 28/5
x = 28/5
c)
y = y + 1
subtract y from both sides
y - y = y+1-y
0 = 1
These sides are not equal, so
NO SOLUTION!
d)
y + 5 = 12
subtract 5 from both sides
y + 5 - 5 = 12 - 5
y = 7
Conclusion:
Therefore, the equation 'y = y + 1' represents NO SOLUTION.
Hence, option 'C' is true.
Answer:
y = x - 8
Step-by-step explanation:
In the equation for slope, y = mx + b,
your slope being 0 makes the equation 'x' or 0x but x is preffered.
Your why would be -8 because there is no x in the point and it is a negative number.
