The simplification of the given algebra we see is; 9 + 3((a√a + a - a + √a)/(a - 1)) - ³/₂₀((√5 - 5)(a - 5√a)) - (a² - 4a√a - 5a)/((√a + 1)*√5 + 5))
<h3>How to Simplify Algebra?</h3>
We are given the algebra expression;
A = [3 + ((a + √a)/(√a + 1))][3 - ((a - 5√a)/(√5 + 5))]
When we multiply out, we will get;
9 + 3((a + √a)/(√a + 1)) - 3((a - 5√a)/(√5 + 5)) - [((a + √a)/(√a + 1)) * ((a - 5√a)/(√5 + 5))]
⇒ 9 + 3((a√a + a - a + √a)/(a - 1)) - ³/₂₀((√5 - 5)(a - 5√a)) - (a² - 4a√a - 5a)/((√a + 1)*√5 + 5))
Read more about Algebra at; brainly.com/question/4344214
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The rate of change of a graph, is the slope of the graph.
The rate of change of the graph is 4.5
The points on the graph are:
![\mathbf{(x,y) = (2,9) (4,18)}](https://tex.z-dn.net/?f=%5Cmathbf%7B%28x%2Cy%29%20%3D%20%282%2C9%29%20%284%2C18%29%7D)
So, the slope (m) is calculated as:
![\mathbf{m = \frac{y_2 - y_1}{x_2 - x_1}}](https://tex.z-dn.net/?f=%5Cmathbf%7Bm%20%3D%20%5Cfrac%7By_2%20-%20y_1%7D%7Bx_2%20-%20x_1%7D%7D)
This gives
![\mathbf{m = \frac{18 - 9}{4-2}}](https://tex.z-dn.net/?f=%5Cmathbf%7Bm%20%3D%20%5Cfrac%7B18%20-%209%7D%7B4-2%7D%7D)
![\mathbf{m = \frac{9}{2}}](https://tex.z-dn.net/?f=%5Cmathbf%7Bm%20%3D%20%5Cfrac%7B9%7D%7B2%7D%7D)
![\mathbf{m = 4.5}](https://tex.z-dn.net/?f=%5Cmathbf%7Bm%20%3D%204.5%7D)
Hence, the rate of change of the graph is 4.5
Read more about rates at:
brainly.com/question/12786410
The answe is 0,36 or 36%
The probability of having oil is 45% or 0,45
The probability of the test predicts it is 80% or 0,80
The probability of having oil and the test predicts it is 0,45 x 0,80
= 0,36
$66.08 because $14.16 divided by 3 = 4.72 and 4.72 times 14 bags is $66.08
Answer:
x=15
Step-by-step explanation:
These angles are corresponding angles and with parallel lines corresponding angles are equal
9x+19 = 10x+4
Subtract 9x from each side
9x+19 -9x = 10x+4-9x
19 = x+4
Subtract 9 from each side
19-4 =x
15=x