The factorization of A is y = (x - 8)(x + 7).
The factorization of B is y = (x + 1)(x - 4)(x - 5)
In order to find these, you must first find where each graph crosses the x-axis. In the first problem it does so at 8 and -7. In order to find the correct parenthesis for those, you need to write it out as a statement and then solve for 0.
x = 8 ---> subtract 8 from both sides
x - 8 = 0
This means we use (x - 8) in our factorization.
You then need to repeat the process until you have all the pieces. In the second problem, there will be 3 instead of 2 since it crosses the axis 3 times.
Answer:
$52091.95
Step-by-step explanation:
From the given information:
The number of cities visited = 14
Cost of each cooking demonstration = $3450
The total cost of cooking demonstration = $3450 × 14
= $48300
Book signing material = $1475
∴
The total cost of cooking demonstration and book material is:
= $48300 + $1475 = $49775 ---- (i)
Total meter traveled in visiting 14 cities = 240 * 13 = 3120 miles
However; suppose the weekly rental fee fine = $x &
the change per mile = $y
Then
y*540 + x = 1188.15 --- (ii)
y*880 + x = 1310.55 --- (iii)
From equation (ii) and (iii)
y *340 = 122.4
y = 122.4/340
y = 0.36
From (ii)
y × 540 + x = 1188.15
(0.36)540 + x = 1188.15
x = 1188.15 - (0.36)540
x = 993.75
Hence, the total cost of travelling by RV camper = $1993.75 + 3120 × (0.36)
= $2116.95
Thus, the total amount the publisher should budget = $49975.0 + $2116.95
= $52091.95
Answer:
t = -1, 2
Step-by-step explanation:
Step 1: Define
h(t) = -5t² + 5t + 10
Step 2: Factor
h(t) = -5(t² - t - 2)
h(t) = -5(t - 2)(t + 1)
Step 3: Find roots
0 = -5(t - 2)(t + 1)
0 = (t - 2)(t + 1)
t - 2 = 0
t = 2
t + 1 = 0
t = -1
Answer:
60h
Step-by-step explanation:
180/3: Divide 180 by 3 to get the rate of change.