Step b is wrong. The slope is the change in y over the change in x.
Step b should be (18- 8)/( 10-6)
= 10/4
= 5/2
<span>The workbench represents a rectangle with two sides 5 feet long each and two sides 3 feet wide each. The perimeter of said rectangle is the sum of the four sides or 5 + 5 + 3 + 3 for a total of 16 feet. therefore the amount of metal tape required is 16 feet.</span>
Answer:
1) To see whether it is a maximum or a minimum, in this case we can simply look at the graph. f(x) is a parabola, and we can see that the turning point is a minimum. By finding the value of x where the derivative is 0, then, we have discovered that the vertex of the parabola is at (3, −4).
2
Answer:
Trying to solve this leads to an absurdity, so No Solution.
Step-by-step explanation:
5x+12=5x−7
Lets attempt to solve:
Subtract 5x from both sides
5x - 5x + 12 = 5x - 5x - 7
0 + 12 = 0 - 7
12 = -7
This is absurd so there is no solution.
To evaluate this, plug in the number 4 for the variable a and the number 5 for the variable 5.
6a + 3ab
6(4) + 3(4)(5)
To solve this multiply then add.
Multiply from left to right and don't add until everything has been multiplied.
Basically, 6(4) + 3(4)(5) = (6 • 4) + (3 • 4 • 5).
6 • 4 = 24
3 • 4 = 12
12 • 5 = 60
Now we have 24 + 60.
Just add and you have your answer!
24 + 60 = 84
So when a is 4 and b is 5, <span>6a + 3ab is equal to 84.
Hope this helps!</span>