Answer:
-4(8x-4)+3x = -29x+16
Step-by-step explanation:
1. Simplify -4(8x-4) by using the distribution property:
<u>-4(8x) = -32x and -4(-4) = 16 so -4(8x-4) = -32x+16</u>
2. Add 3x to the remaining equation:
<u>-32x+16+3x = -29x+16 </u>
3. The answer is:
<u> -29x+16 </u>
Answer:
449 100
Step-by-step explanation:
0.2% × 450000÷ 100=900
450000-900= 449 100
Answer:
and growth rate factor is 0.075
Step-by-step explanation:
The function that models the population of iguanas in a reptile garden is given by
, where x is the number of years.
Since, 
i.e.
.
Therefore, the monthly growth rate function becomes,
i.e.
.
i.e.
.
Hence, the monthly growth rate is i.e.
.
Also, the growth factor is given by
= 0.075.
Thus, the growth factor to nearest thousandth place is 0.075.
Answer:
B. 21.64
Step-by-step explanation:
We have been given a triangle and we are asked to find the length of AC (b).
We will use law of cosines to find the length of side AC.

Upon substituting our given values in the formula we will get,
Upon taking square root of both sides of our equation we will be get,
Therefore, the length of b is 21.64 and option B is the correct choice.
Answer:
y = kx
Step-by-step explanation:
In proportional relationships, the value of one variable increases as the other increases or decreases as the other decreases. It is denoted mathematically as y ∝ x where x and y are the variables. It follows that
y = kx where k is the proportionality constant.
So in the relationship where x represents the number of adults, and y represents the number of students,
y ∝ x and y = kx
y = kx is the required equation