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ValentinkaMS [17]
2 years ago
15

le="\sf\large\green{\underbrace{\red{Question*}}}:" alt="\sf\large\green{\underbrace{\red{Question*}}}:" align="absmiddle" class="latex-formula">
Solve for y
\frac{y}{3}  > 7 -  \frac{y}{2}
​
Mathematics
1 answer:
matrenka [14]2 years ago
7 0

Answer:

y >   \boxed{\cfrac{42}{5} }

Step-by-step explanation:

Given inequality:

\cfrac{y}{3} > 7 - \cfrac{y}{2}

To solve for <em>y.</em>

Solution:

Rewrite the inequality as,

  • \displaystyle \frac{1y}{3}  >   \frac{ - 1}{2} y + 7

Adding 1/2y to both sides,

  • \cfrac{1}{3} y +  \cfrac{ 1 }{2} y >  \cfrac{ - 1}{2}y  + 7 +  \cfrac{1}{2} y

  • \cfrac{5}{6} y > 7

Multiplying both sides by 6/5:

  • \cfrac{6}{5}  \times  \cfrac{5}{6} y >  \cfrac{6}{5}  \times 7

  • y >   \boxed{\cfrac{42}{5} }

Value of y is 42/5.

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Find the horizontal asymptote
eimsori [14]

Answer:

Correct answer:  h = 3/5  or y = 3/5

Step-by-step explanation:

Given:

h(x) = (3x² - 9x - 4) / (5x² - 4x + 8)

h = lim x -> ∞ (3x² - 9x - 4) / (5x² - 4x + 8) the numerator and denominator will be divided by x² and get

h = lim x -> ∞ (3 - 9(1/x) - 4 (1/x²)) / (5 - 4(1/x) + 8 (1/x²)

The terms 1/x and 1/x²  when x strives ∞ they strives 0

x -> ∞ ⇒ 1/x -> 0  and x -> ∞ ⇒ 1/x² -> 0

h = (3 - 0 - 0) / (5 - 0 + 0)

Horizontal asymptote is h = 3/5 or y = 3/5

God is with you!!!

5 0
3 years ago
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Step-by-step explanation:

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Musya8 [376]

Answer:

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Step-by-step explanation:

4 0
3 years ago
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Yo sup??

let the number of pencils and pens be 8x and 14x

x=2

therefore the number of pens and pencils are

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Hope this helps

6 0
3 years ago
Please help me with this question.
Eduardwww [97]

Answer:

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Step-by-step explanation:

2x-9=14

2x = 23

x = 11.5

5 0
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