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zhuklara [117]
3 years ago
12

There are ten bird baths in a park. On the first day of​ spring, the bird baths are filled. Several weeks​ later, the overall ch

ange in the water level is found. The results are shown in the table. What is the range of the​ data?
2.5
0.7
-2.2
2.1
2.3
-1.6
1.1
-2.4
2.7
1.2
Mathematics
1 answer:
daser333 [38]3 years ago
3 0

Answer:

4.5

Step-by-step explanation:

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Alchen [17]

Answer:

s = 1

Step-by-step explanation:

Given

s - \frac{1}{2} = \frac{1}{2}

Required

Solve for s

s - \frac{1}{2} = \frac{1}{2}

Add \frac{1}{2} to both sides

s - \frac{1}{2} + \frac{1}{2} = \frac{1}{2} + \frac{1}{2}

Take LCM

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4 0
3 years ago
The equation 12x² + 4kx + 3 = 0 has real and equal roots, if
sleet_krkn [62]

Answer:

k=\pm3

Step-by-step explanation:

[...] if you can write the LHS as a perfect square, or if you can't spot a factorization of it right away, if and only if the discriminant \Delta = b^2-4ac (or, if b is an even number, 1/4 of it) is zero.

<u>I see it! I see it!</u>

Stare at it for a while. First term is 3(2x)^2, third term is 3(1)^2, we are missing a double product, but we can play with k. For the LHS to be 3(2x\pm1)^2 = 3(4x^2\pm4x+1) = 12x^2\pm12x+3 you just need 4k= \pm12 \rightarrow k=\pm3.

<u>I don't see it...</u>

Then number crunching it is. Set the discriminant to 0, solve for k

\frac{\Delta}4 = 4k^2-12\cdot 3 =0 \rightarrow 4k^2=36 \\k^2 = 9 \rightarrow k=\pm3

8 0
2 years ago
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