2 years ago

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Mathematics

1 answer:

Westkost [7]2 years ago

5 0

Answer: a

Step-by-step explanation:

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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.

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 $4k= \pm12 \rightarrow k=\pm3$ .

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

1 year ago

Two buckets filled with a liquid are leaking. The first bucket leaks at a rate of 5/6 gallon per 3/4 hour. The second bucket lea

miss Akunina [59]

Ok so just change the fractions into percentages by dividing
Gallons
5/6=83%
3/8=38%
Hours
3/4=75%
1/3=33%

Subtract the percentages with there match.
83-75=8
38-33=5

5>8

So then we now that second bucket

Sorry if I'm wrong

7 0

3 years ago

The ratio of the number of cakes to the number of muffins in different gift boxes is 5:4. Which table best shows the number of c

AlladinOne [14]

The answer should be the first option, but if I am wrong sorry.

6 0

3 years ago

Read 2 more answers

Please answer this correctly without making mistakes

kumpel [21]

Answer:

4 dollars per pound