Answer:
60x + 18
Step-by-step explanation:
8x - 4 [2x - 5 ( 3x + 1 )] - 2 [x - (x - 1)]
distribute
8x - 4 [2x - 15x - 5] - 2 [x - x + 1]
combine like-terms
8x - 4 [- 13x - 5] - 2 [1]
distribute again
8x + 52x + 20 - 2
combine like-terms again
60x +18
A population of insects grows exponentially, as shown in the table. Suppose the increase in population continues at the same rate.
from the given table
when x=0 , y=20
when x= 1 , y = 30
We use this information to find exponential growth equation
General form of exponential growth is

WE plug in the given values and find out value of a and b
when x=0 , y=20

20 = a
Now we find out b
when x= 1 , y = 30

divide both sides by 20

So exponential function becomes

Now we find the insect population at the end of week 11
We plug in 11 for x


Round the answer to nearest whole number
1730 is the insect population at the end of week 11
121.4285%
Hope this helped
<h3><em><u>Simplify -3y+2x-5y-7x is:</u></em></h3><h3>-8y - 5x</h3>
<em><u>Solution:</u></em>
<em><u>Given that, we have to simplify</u></em>

We can simplify the above expression by combining the like terms
Like terms are terms that has same variable ( with same exponent) with same or different coefficient
From given,

Here, like terms are -3y and -5y
And 2x and -7x
Group the like terms

Combine the like terms

Thus the given expression is simplified
Answer:
8/17
Step-by-step explanation:
The correct and complete question is:
<em>Use △XYZ, in which ∠X is a right angle and tanY=8/15. What is the ratio for sinY?</em>
From definition:
tan(Y) = opposite/adjacent
From the graph and the question:
tan(Y) = XZ/XY = 8/15
Then:
XZ = 8 and XY = 15. Using pytaghorean theorem:
XZ² + XY² = YZ²
8² + 15² = YZ²
√289 = YZ
17 = YZ
From definition:
sin(Y) = opposite/hypotenuse
From the graph:
sin(Y) = XZ/YZ
sin(Y)= 8/17