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Lisa [10]
3 years ago
6

If the numbers 4, 5 and 6 are each used exactly once to replace the letters in the expression A ( B − C ), what is the least pos

sible result?
Mathematics
1 answer:
guapka [62]3 years ago
3 0

Answer:

The least possible result is <em>-10</em>.

Step-by-step explanation:

Given the numbers 4, 5 and 6 are to be chosen one of the letters A, B or C.

First of all,

Let A = 4, B = 5 and C = 6

A(B-C) = 4 \times (5-6) = 4 \times -1 = -4

Let A = 4, B = 6 and C = 5

A(B-C) = 4 \times (6-5) = 4 \times 1 = 4

Let A = 5, B =4 and C = 6

A(B-C) = 5 \times (4-6) = 5 \times -2 = -10

Let A = 5, B = 6 and C = 4

A(B-C) = 4 \times (6-4) = 4 \times 2 = 8

Let A = 6, B = 4 and C = 5

A(B-C) = 6 \times (4-5) = 6 \times -1 = -6

Let A = 6, B = 5 and C = 4

A(B-C) = 6 \times (6-5) = 6 \times 1 = 6

Summarizing the above values in the form of a table:

\begin{center}\begin{tabular}{ c c c c}A & B & C & A(B-C)\\ 4 & 5 & 6 & -4\\  4 & 6 & 5 & 4\\  5 & 4 & 6 & -10\\  5 & 6 & 4 & 10\\  6 & 4 & 5 & -6\\ 6 & 5 & 4 & 6\end{tabular}\end{center}

So, the least possible result is <em>-10</em>.

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Answer:

The population of Hawks and other species would likely start to edge off.

Step-by-step explanation:

Commonly, a Food Chain is dependent on all the parts of it sataying at a perfect point. If the food that the Snakes eat starts to run out, more of them will die off. With less Snakes, the Hawks will then have less food, and that continues throughout the chain. The same thing would happen if there was too much food, except instead of the populations of species dying off, the Snake population would spike.

3 0
2 years ago
What is 9/5,-2.5,-1.1,-4/5,0.8 from least to greatest
padilas [110]
Convert 9/5 and -4/5 to decimal form 
= 1.8 and -0.8

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7 0
3 years ago
What equation represents the line that passes through points (1.-5) and (3 -17)?
zzz [600]

ALL LINES CAN BE REPRESENTED IN THE FORM f(x) = ax+b.

We know that:

f(1) = -5 \implies a\cdot(1)+b = -5 \implies a+b = -5

and

f(3) = -17 \implies a\cdot(3) +b = -17 \implies 3a+b = 17

Observe that:

3a+b = 2a+a+b = 2a+(a+b)

So:

2a+(a+b) =-17

But we know that a+b = -5, so:

2a+(a+b) =-17

2a+(-5) = -17

2a = -12

a = -6

Since:

a+b = -5

(-6)+b = -5

b = 1

So the line is:

f(x) = 1-6x

5 0
3 years ago
If you form a triangle from two given angle measures and the length of the included side, will you always get one triangle or wi
Ann [662]

Answer:

It is not always possible to construct a triangle from a given side length and two angles. If the two given angles add to more than 180°, the sides of the triangle will diverge and never meet.

Step-by-step explanation:

7 0
3 years ago
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mario62 [17]

Answer:

D) log₁₀20x⁵-1 and E) log₁₀(2x⁵)

Step-by-step explanation:

5log₁₀x+log₁₀20-log₁₀10

5log₁₀x+log₁₀20-1

log₁₀x⁵+log₁₀20-1

log₁₀20x⁵-1 (Option D)

5log₁₀x+log₁₀20-log₁₀10

log₁₀20x⁵-log₁₀10

log₁₀(20x⁵/10)

log₁₀(2x⁵) (Option E)

4 0
3 years ago
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