Answer:
Solution for 2(x-5)-8=20 equation:
Simplifying
2(x + -5) + -8 = 20
Reorder the terms:
2(-5 + x) + -8 = 20
(-5 * 2 + x * 2) + -8 = 20
(-10 + 2x) + -8 = 20
Reorder the terms:
-10 + -8 + 2x = 20
Combine like terms: -10 + -8 = -18
-18 + 2x = 20
Solving
-18 + 2x = 20
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '18' to each side of the equation.
-18 + 18 + 2x = 20 + 18
Combine like terms: -18 + 18 = 0
0 + 2x = 20 + 18
2x = 20 + 18
Combine like terms: 20 + 18 = 38
2x = 38
Divide each side by '2'.
x = 19
Simplifying
x = 19
Answer:
110 in²
Step-by-step explanation:
The area of a trapezoid is given by the formula ...
A = (1/2)(b1 +b2)h . . . . . . where b1 and b2 are the lengths of the parallel bases, and h is the perpendicular distance between them.
In your problem, b1 and b2 are 13 in and 9 in, and h is 10 in. Putting these values into the formula, we find the area to be ...
A = (1/2)(13 in + 9 in)(10 in) = 110 in²
The area of the trapezoid is 110 square inches.
_____
First, we identify the appropriate formula to use for the geometry shown in the diagram.
Next, we determine from the diagram the values to use in the formula.
Last, we evaluate the formula and make a summary statement of results.
Answer:
(E). 19
Step-by-step explanation:
Let original population of each colony be P.
We have been given that a certain bacteria colony doubles in size every day, so bacteria colony is growing exponentially. After x days, the population of bacteria would be:
The population after 19 days will be 
for each colony.
The total population of both the colonies at that point will be 
which is what the habitat's limit is.
Therefore, it will take 19 days for two bacteria colonies to reach the habitat's limit and option E is the correct choice.
Answer:
check your math
Step-by-step explanation:
The first subtraction was correct:
36 -7 3/4 = 28 1/4
The second subtraction needs to be revisited.
28 1/4 -6 2/4 = 27 5/4 -6 2/4 = 21 3/4
__
You can do what you did, but you need to pay attention to the signs.
28 1/4 -6 2/4 = (28 -6) +(1/4 -2/4) = 22 - 1/4 = 21 3/4
The result of subtracting 2/4 from 1/4 is -1/4, not +1/4.
_____
The length of the first cut piece was 21 3/4 inches.
Answer:
Domain: (-∞, ∞)
General Formulas and Concepts:
<u>Algebra I</u>
- Domain is the set of x-values that can be inputted into function f(x)
Step-by-step explanation:
According to the graph, the line's x-values span from negative infinity to infinity:
(-∞, ∞)
