Part A
The expression "ma" is the same as "m*a" (m times a). To isolate 'a', we divide both sides by m. Division is the inverse operation of multiplication. Think of it as undoing multiplication
F = ma
F = m*a
F/m = m*a/m
F/m = a
a = F/m
Answer: a = F/m
Note: the slash "/" without quotes means "divide"
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Part B
Use the result from part A. We will plug F = -24 and m = 10 into that equation
a = F/m
a = -24/10
a = -2.4
Answer: -2.4
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Part C
We will use the equation F = m*a
F = m*a
24 = m*12 ... plug in F = 24 and a = 12
24/12 = m*12/12
2 = m
m = 2
Answer: 2
Answer: Answers are in the steps read carefully!
Step-by-step explanation:
A) 3x^2 - 7x + 2 To factor this polynomial, you have to find two numbers that their product is 6 and their sum is -7. The numbers -1 and -6 works out because -6 times -1 is 6 and -6 plus -1 is -7.
Now rewrite the polynomial as
3x^2 - 1x - 6x + 2 Now group it
(3x^2 - 1x) (-6x+2) Factor it by groups
x (3x -1) -2(3x -1) Now factor out 3x-1
(3x -1) (x-2) Done!
B) 2x^2 - x -3 Now the same way.You will have two numbers that their product is -6 and their sum is -1. You may be wondering how I get -6 .I get -6 by multiply the leading coefficient 2 by the constant -3. The numbers -3 and 2 works out. Because -3 times 2 is -6 and -3 plus 2 is -1.
Rewrite the polynomial as
2x^2 +2x - 3x -3 GRoup them and factor them
(2x^2 + 2x) (-3x-3)
2x(x+1) -3(x+1) Factor out x+1
(x+1) (2x -3) Done!
C) 3x^2 - 16x - 12 Find two numbers that their product is -36 and their sum is -12. The numbers -18 and 2 works out because -18 times 2 is -36 and -18 plus 2 is -16.
Rewrite the polynomial
3x^2 +2x -18x - 12 GRoup them
(3x^2 + 2x) (-18x - 12) Factor them
x (3x +2) -6(3x +2) Factor out 3x+2
(3x+2) (x -6) Done !
Answer:
<em>24000 and 1620 for the first and fifth </em>
Step-by-step explanation:
- <em>24 x 25 x 40 = 24000</em>
- <em>9 x 6 x 30 = 1620</em>
<em></em>
<em></em>
<em></em>
- <em>I only know one and five </em>
- <em>i couldn't figure out the others</em>
- <em>Hope this helps</em>
- <em>The other three i didn't learn yet</em>
- <em>Brainliest</em>
- <em>Ask questions if wrong</em>
Answer:
c
Step-by-step explanation:
Answer:
He must work 52 days to pay for a single ticket.
Step-by-step explanation:
This question can be solved using proportions.
Per hour:
Joel earns $7.25 per hour, 20% of which is deducted for taxes. So without taxes, in each hour, he earns 100%-20% of 80% of this, so 0.8*7.25 = $5.8.
Per day:
He works 9 a.m. to 5 p.m. each day, so 8 hours a day.
For each hour, he earns $5.8.
So in a day, he makes 8*5.8 = $46.4
How many days he must work:
The ticket costs $2400.
He makes $46.4 a day.
So, to buy a ticket, he needs to work:
2400/46.4 = 51.7 days
Rounding up
He must work 52 days to pay for a single ticket.
