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disa [49]
3 years ago
9

If the product of the integers a, b, and c is 1, then what is the difference between the largest and the smallest possible

values of a^{2} * b^{3} * c^{4}?
A: -2
B: -1
C: 1
D: 2
Mathematics
1 answer:
stepladder [879]3 years ago
5 0
Since there are no multiples other than 1 and -1 that could multiply in any way to equal 1, those are the only numbers you can really work with

it is a possibility that a, b, and c could equal 1 but then it would go wrong when comes time to subtract since all numbers are equal and cannot subtract largest from smallest.

a logical approach would be to try -1, -1, and 1 since -1 * -1 = 1 and then 1* 1 =1

we can make a= -1 , b= -1, and c= 1
 (we need b to equal -1 so that we get an answer of -1 opposed to if we made a=-1 and c=-1, all outcomes would equal 1)
-1²=1
-1³=-1
1⁴= 1
since 1 is the largest possible outcome and -1 is the lowest possible outcome you should subtract the two

1-(-1) = 1+1 = 2

The answer should be D: 2
 
hoped this helped at all!
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In 2015, there were approximately 4, 148,000 births in a country. Find the birth rate in births per minute.
Setler79 [48]

Answer:

7.89 births per minute

Step-by-step explanation:

525600 minutes in a year

4,148,000 divided by 525600 =

7.89193302892

7 0
2 years ago
Find an equation in standard form of the parabola passing through these points: (0,-6),(-1,-12),(3,0)
Elan Coil [88]
One form of the equation of a parabola is
y = ax² + bx + c

The curve passes through (0,-6), (-1,-12) and (3,0). Therefore
c = - 6                       (1)
a - b + c = -12            (2)
9a + 3b + c = 0         (3)

Substitute (1) into (2) and into (3).
a - b -6 = -12
a - b = -6                  (4)
9a + 3b - 6 = 0
9a + 3b = 6              (5)

Substitute a = b - 6 from (4) into (5).
9(b - 6) + 3b = 6
12b - 54 = 6
12b = 60
b = 5
a = b - 6 = -1

The equation is
y = -x² + 5x - 6 

Let us use completing the square to write the equation in standard form for a parabola.
y = -[x² - 5x] - 6
   = -[ (x - 2.5)² - 2.5²] - 6
   = -(x - 2.5)² + 6.25 - 6

y = -(x - 2.5)² + 0.25
This is the standdard form of the equation for the parabola.
The vertex us at (2.5, 0.25).
The axis of symmetry is x = 2.5
Because the leading coefficient is -1 (negative), the curve opens downward.
The graph is shown below.

Answer: y = -(x - 2.5)² + 0.25

3 0
3 years ago
A mechanic charges $60 to inspect your heater, plus $70 per hour to work on it. You owe the mechanic a total of $410. Write and
uranmaximum [27]

Answer:

($410 - $60) / $70 = 5

After subtracting the $60 base fee, you can just divide the hours paid for by the hourly wage and find out how many hours were worked. Hope this helps!

5 0
3 years ago
HELP FAST PLS!!!!!!!!!(will give 50 points to who answers correctly oh and dont answer fake answers i typed soo hard to do this)
leva [86]

Answer:

Step-by-step explanation:

1.A

2.C

1.C

2.A

1.B

2.21.45

3.A

I tried my best

7 0
3 years ago
Read 2 more answers
Please help with number 1
bezimeni [28]

Answer:

19.0681

Step-by-step explanation:

Given in the question that,

angle from ted to the dog = 60° with the ground

height of ted from the ground =  16ft

To find,

distance between dog and the door of ted's building

Considering the scenario make a right angle triangle:

<h3>By using pythagorus theorem:</h3>

Tan 40 = opposite / adjacent

Tan 40 = height / distance between dog and the door

Tan 40 = 16ft / x

x = 16 / tan40

x = 19.068057

x ≈ 19.0681 (nearest to thousand)

So, the dog need to walk 19.0681ft to reach the open door directly below Ted.

7 0
3 years ago
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