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Alik [6]
1 year ago
13

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:

1.

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

2.

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

Welcome

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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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2 years ago
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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.

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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>"

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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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40°+x=90°

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