Surface Area of the cylinder is 6x² + 83x - 58 cm²
Step-by-step explanation:
- Step 1: Given surface area of the cylinder, A = 23r + 2rh. Here, r = (3x - 2) and h = (x + 3)
⇒ A = 23(3x - 2) + 2(3x - 2)(x + 3)
⇒ A = 69x - 46 + (6x² + 18x - 4x - 12)
⇒ A = 6x² + 83x - 58 cm²
Answer:
Step-by-step explanation:
so first you take the 2 to the 1/4 power and put it in a radical expression so now it is the fourth root of 2 
but with a little four just like the expression at the end now you still have the 3 power left but 
is 8
Answer:
3 workers
Step-by-step explanation:
just divide by 2
Answer:
If you call the smaller integer "x" and the greater integer "y", then:
x+y=3x-11 The sum of the two is 11 less than 3 times the smaller
y=x+1 Because they are consecutive, the greater must be 1 more than the smaller
Then you can solve for x:
x+(x+1)=3x-11 Substitute x+1 for y
2x+1=3x-11 Combine like terms
2x+12=3x Add 11 to both sides
12=x Subtract 2x from both sides
The smaller integer is 12, thus the greater integer is 1 more or 13.
Check:
12+13=3(12)-11
25=36-11
25=25 Yes, so the integers are 12 and 13
Step-by-step explanation:
thats pretty much it
The table is:
Number of washes denoted by x: 0, 8, 12
Amount left on card denoted by y: 30, 18, 12
a. Write an equation that shows the amount of dollars left on the card
Solution:
18 – 30 divided by 8 – 0 = -12/8
On simplest form is -3/2
The equation is y = -3/2x + 30
b. Explain the meaning of the negative slope above.
As the number of car washes increase, the dollars left on the card decreases.
c. What is the maximum value of x?
0 = -3/2x + 30
2/3 x 3/2 x = 30/1 x 2/3
Cancel 2/3 x 3/2 and reduce 30 by 3 we get 10, 10 x 2
x = 20
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