Answer:
[x + 3][2x² - 7]
Step-by-step explanation:
Start out by doing this: [2x³ + 6x² ] - [7x - 21]
↑ ⤻ ↑
GCF: 2x² GCF: -7
Do as so: 2x²[x + 3] -7[x + 3]
You see, one factor is already found [x + 3]. You only use it ONCE. Now, the other factor comes from your two Greatest Common Factors from both groups [2x² - 7]. Together, you end up with the above answer. That arrow under the negative tells you that it is attached to the 3 [distribution of the negative].
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Answer:
6/5 hours
Step-by-step explanation:
<u>GIVEN :-</u>
Lets say ,
- Pump A takes 2 hours to fill the tank alone
- Pump B takes 3 hours to fill the tank alone
<u>TO FIND :-</u>
- Time taken by both pumps to fill the tank when used together
<u>PROCEDURE :-</u>
In 2 hours , Pump A fills the whole tank.
⇒ In 1 hour , Pump A will fill 1/2 part of tank. (By using Unitary method)
In 3 hours , Pump B fills the whole tank.
⇒ In 1 hour , Pump B will fill 1/3 part of tank. (By using Unitary method)
In 1 hour , when both pumps will be used together , they will fill =
(Part of tank filled by A in 1hr) + (Part of tank filled by B in 1hr)
⇒
part of tank
5/6 part of tank will be filled by both the pumps in = 1 hour.
Using unitary method, multiplying both the sides with 6/5 -
⇒ 5/6 × 6/5 part of tank will be filled by both the pumps in = 1 × 6/5 hours
⇒ Total tank (or 1 whole tank) will be filled by both the pumps in = 6/5 hours
∴ Both the pumps will take 6/5 hour to fill the tank , when used together.
Answer:
a (9 - 8 a x)
Step-by-step explanation:
Simplify the following:
3 a - 2 a x×4 a + 6 a
-2 a x×4 a = -2 a^2 x×4:
3 a + -2 a^2 x×4 + 6 a
-2×4 = -8:
3 a + -8 a^2 x + 6 a
Grouping like terms, 3 a - 8 a^2 x + 6 a = -8 a^2 x + (3 a + 6 a):
-8 a^2 x + (3 a + 6 a)
3 a + 6 a = 9 a:
-8 a^2 x + 9 a
Factor a out of -8 a^2 x + 9 a:
Answer: a (9 - 8 a x)
The answer to the given question is letter "B".
We will compute first individually
The distance at 1 min. =60
At 2 minutes= 60 +0.4*60 = 84
At 3 minutes = 84 +0.4*84 = 117.6
At 4 minutes = 117.6 + 0.4*117.6 = 164.64
At 5 minutes = 164.64 + 164.64*0.4 = 230.5
At 6 minutes = 230.5 + 230.5*0.4 = 323
Since the answer is letter "B" when we calculate using this equation in B, we will arrive at the same answer at 6 minutes:
D = 323