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3 years ago

Which ordered pairs are solutions to the inequality. 3x+4y greater than or equal to 12

1 answer:

5 0

To find which orders pairs fit into the inequality simply substitute the variables, x & y.
A:3*8+4*(-3)>=12, yep! 12>=12
B: 3*(-5)+4*2>=12, Nope! -7 is not >= 12
C:Yep! 20>=12
D: Yep! 17>=12

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Tisha and Dana were both fishing for salmon, and by coincidence, caught the same number of fish this week. Tisha caught salmon i

solong [7]

Answer:

The minimum number of fish each must have caught is 90 fishes

Step-by-step explanation:

The number of fishes Tisha's net can hold = 15

The number of fishes Dana's net can hold = 18

Let the total number of fishes both Tisha and Dana caught = X

15 × A = 18 × B = X

Therefore, X is the lowest common multiple (LCM) of 15 and 18 given as follows;

15 = 3 × 5

18 = 3 × 6

Therefore, the LCM of 18 and 5 = 3 × 5 × 6 = 90

Which gives, the minimum number of fish each must have caught = 90 fishes.

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3 years ago

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3 years ago

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Korolek [52]

Answer:

Step-by-step explanation:

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3 years ago

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3 years ago

Find the fourth roots of 256(cos 240° + i sin 240°).

Mashcka [7]

Answer with Step-by-step explanation:

We are given that

We have to find the fourth roots of given complex number.

$(256)^{\frac{1}{4}}=(4^4)^{\frac{1}{4}}=4^^{\frac{1}{4}\times 4}=4$

By using the formula

$(a^b)^x=a^{bx}$

$\theta=240^{\circ}$

$\theta=\frac{240}{4}=60^{\circ}$

Angle of rotation= $\frac{360}{4}=90^{\circ}$

Therefore, the four roots of given complex number are

$4(cos 60^{\circ}+i sin60^{\circ})$

$4(cos150^{\circ}+i sin150^{\circ})$

$4(cos240^{\circ}+isin 240^{\circ})$

$4(cos330^{\circ}+i sin330^{\circ})$

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3 years ago