Answer:
1) 35
2) 1.51937984
Step-by-step explanation:
![\frac{4/\frac{4}{7}•0.3}{2.88 ÷ 4.8}](https://tex.z-dn.net/?f=%5Cfrac%7B4%2F%5Cfrac%7B4%7D%7B7%7D%E2%80%A20.3%7D%7B2.88%20%C3%B7%204.8%7D)
![\frac{21}{0.6}](https://tex.z-dn.net/?f=%5Cfrac%7B21%7D%7B0.6%7D)
21 ÷ 0.6
35
![\frac{0.5 + \frac{1}{18}}{(1\frac{1}{6}-\frac{7}{18}}÷2.8](https://tex.z-dn.net/?f=%5Cfrac%7B0.5%20%2B%20%5Cfrac%7B1%7D%7B18%7D%7D%7B%281%5Cfrac%7B1%7D%7B6%7D-%5Cfrac%7B7%7D%7B18%7D%7D%C3%B72.8)
![\frac{\frac{5}{9} }{0.36564625}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cfrac%7B5%7D%7B9%7D%20%7D%7B0.36564625%7D)
÷0.36564625
1.51937984
The sum is 4x³ + 3x² + 2x – 6.
Solution:
The correct question is given below.
(4x³ – 2x² + 3x – 1) + (5x² – x – 5). What is the sum?
<u>To find the sum of the polynomial:</u>
Sum of (4x³ – 2x² + 3x – 1) and (5x² – x – 5)
= (4x³ – 2x² + 3x – 1) + (5x² – x – 5)
Remove the parentheses.
= 4x³ – 2x² + 3x – 1 + 5x² – x – 5
Group like terms together.
= 4x³ – 2x² + 5x² + 3x – x – 1 – 5
Add the similar elements. i.e the element with same power.
= 4x³ + 3x² + 2x – 1 – 5
Subtract the constant terms.
= 4x³ + 3x² + 2x – 6
The sum is 4x³ + 3x² + 2x – 6.
Answer: equivalent, not equivalent
Step-by-step explanation: both equal 36
2. one equals 36 and one equals 45
Correct option D) Base of exponential function
is greater than 1 , this function will exceed linear function
.
<u>Step-by-step explanation:</u>
Here we have , f(x) = 0.25x + 25 and g(x) = 15(1.25)x . We need to tell As x approaches ∞, which function exceeds whom! Let's find out:
This function is a linear function with an equation of straight line , having slope and y-intercept as :
![m=0.25\\c=25](https://tex.z-dn.net/?f=m%3D0.25%5C%5Cc%3D25)
Graph for this function is attached below .
This function is an exponential function in the form of
, where b>1 i.e. for rise in value of x there is exponential increase in value of y or , function .Basically Base of this exponential is greater than 1 , which makes it an increasing function ! Graph for this function is attached below .
Now , Comparing both graphs we see that as x approaches ∞ graph of exponential function
is much more vertical than linear function
. Since , base of exponential function
is greater than 1 , this function will exceed linear function
.Correct option D)