Kim estimates that the faucet in her kitchen drips at a rate of 1 drop every 2 seconds. Erik wants to know how many times the fa
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Let one of those even numbers be x, Then other even number would be x + 2.
<u>According</u><u> </u><u>to</u><u> </u><u>question</u><u>,</u>
⇛ Their reciprocal add upto 3/4
<u>So</u><u>,</u><u> </u><u>we</u><u> </u><u>can</u><u> </u><u>write</u><u> </u><u>it</u><u> </u><u>as</u><u>,</u>
⇛ 1/x + 1/x + 2 = 3/4
⇛ x + 2 + x / x(x + 2) = 3/4
⇛ 2x + 2 / x² + 2x = 3/4
<u>Cross</u><u> </u><u>multiplying</u><u>,</u>
⇛ 3(x² + 2x) = 4(2x + 2)
⇛ 3x² + 6x = 8x + 8
⇛ 3x² - 2x - 8 = 0
⇛ 3x² - 6x + 4x - 8 = 0
⇛ 3x(x - 2) + 4(x - 2) = 0
⇛ (3x + 4)(x - 2) = 0
Then, x = -4/3 or 2
☃️ It can't be -4/3 because it is fraction and negative number. So, x = 2
Then, x + 2 = 4
✤ <u>So</u><u>,</u><u> </u><u>The</u><u> </u><u>even</u><u> </u><u>numbers</u><u> </u><u>are</u><u> </u><u>2</u><u> </u><u>and</u><u> </u><u>4</u><u>.</u>
<u>━━━━━━━━━━━━━━━━━━━━</u>
Answer:
Step-by-step explanation:
The general direct variation equation is
y = kx
Plug in x = 4 and y = 6 and solve for k.
6 = k * 4
4k = 6
k = 6/4 = 3/2