Step-by-step explanation:
Jimmy's group : has 841 students
Lauren's group: has 351 students
9 vans 16 buses
8 vans 5 buses
Vans: V
Buses: B
9v + 16b = 841
9v + 16b = 841
-16b -16b
9v/ 9 = 841 /9 - 16b/9
8( 841/9 - 16b/9) +5b = 351
v - (841/ 9 - 16b / 9 )
8 (841 / 9 - 16b/9) +5b = 351
6728/9 - 128b / 9 +5b = 351
-128b/9 + 45b/9 = -83/9b
6728/9 -83/9
- 6728/9 +83/9 = 3159/9 - 6728/9
(9)83b / 9 = -3569 (9)/9
-<u>83b</u> = <u>-3564</u>
-83 -83
B = 43 students
8v + 5b = 351
8v + 5 (43) = 351
8v + 215 = 315
-215 -215
<u>8v</u> = <u>136 </u>
8 8
V = 17 students
43 students can fit on a bus and 17 students can fit in a van.
Answer:
27
Step-by-step explanation:
<h3>Answer:</h3>
<u>Part A</u>:
- section A: 18
- section B: 288
<u>Part B</u>: rate of change in section B is 16 times as great
<h3>Explanation:</h3>
<u>Part A</u>:
The rate of change is computed as ...
... rate of change = (change in g(x)) / (change in x)
In section A, this is ...
... (change in g(x)) / (change in x) = (24 - 6)/(1 - 0) = 18
In section B, this is ...
... (change in g(x)) / (change in x) = (384 -96)/(3 -2) = 288
<u>Part B</u>:
The function, like any exponential function, increases at an increasing rate. The increase in the rate of change reflects the fact that as x increases, the rate of change of g(x) increases. (See the attachment for a graph.)
Step 1: Distribute. On the right side, you should get =2x-4
Step 2: Add all common bases. You should get 4x-5 on the left side
Step 3: Add on each side. For example, add five to each side of the equation. Your equation should look like this; 4x= 2x+1
Step 4: Subtract each x number by 2x. Your equation should be; 2x=1
Step 5: Divide each side by two. Your answer should be x=1/2 or x=0.5
Hope this helped!
D would equal to either 9 or －9
