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1 year ago

What are the solutions of the compound inequality 2d + 3 ≤ –11 or 3d – 9 > 15?

Mathematics

1 answer:

pentagon [3]1 year ago

3 0

Step-by-step explanation:

$2d + 3 \leqslant - 11 \\ 2d \leqslant - 11 - 3 \\ 2d \leqslant - 14 \\ \frac{2d}{2} \leqslant \frac{ - 14}{2} \\ d \leqslant - 7$

$3d - 9 > 15 \\ 3d > 15 + 9 \\ 3d > 24 \\ \frac{3d}{3} > \frac{24}{3} \\ d = 8$

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Write an exponential function in the form y<br> and (3,72).<br> ab" that goes through points (0,9)

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Answer:

$y=9 ( {2}^{x} )$

Step-by-step explanation:

Let the exponential function be

$y = a {b}^{x}$

We substitute (0,9) to get:

$9 = a {b}^{0}$

$9 = a(1)$

$a = 9$

The equation now becomes:

$y = 9 {b}^{x}$

We substitute (3,72) to get:

$72 =9 {b}^{3}$

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$b = 2$

The equation is therefore

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2 years ago

Sierra is selling bracelets to raise money for the Language Club at school. Each bracelet with yellow beads sells for $5. Each b

matrenka [14]

Answer:

Correct answer is:

$5y+6r=660\\y=2r+8$

Step-by-step explanation:

Given that Number of bracelets with yellow beads is represented by $y$

Each bracelet with yellow beads is sold for $5.

Total money raised by bracelets with yellow beads = Number of bracelets sold $\times$ Money raised by sale of one such bracelet = $5y$

Also Given that Number of bracelets with Orange beads is represented by $r$

Each bracelet with orange beads is sold for $6.

Total money raised by bracelets with orange beads = Number of bracelets sold $\times$ Money raised by sale of one such bracelet = $6r$

Given that total money raised by sale of both type of bracelets is $660.

so, the first equation becomes:

$5y+6r=660 ....... (1)$

It is also given that "<em>The number of bracelets with yellow beads that Sierra sold is 8 more than twice the number of bracelets with orange beads</em>"

$\Rightarrow r =2r+8 ...... (2)$

So, by equation (1) and (2), the system of equations is:

$5y+6r=660\\y=2r+8$

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Answer:

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Step-by-step explanation:

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x=90°-40°

x=50°

supplementary angles

x+x=180

50+x=180

x=180-50

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Perhaps the easiest way to solve this problem is to convert 13 into a fraction that has the same denominator as 7 5/8.
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