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Zepler [3.9K]
3 years ago
10

This is my question (-4b^3)(2b^5

Mathematics
1 answer:
Reil [10]3 years ago
8 0

Answer:

- 8{b}^{8}

Step-by-step explanation:

- 4 {b}^{3}  \times 2 {b}^{5}

For this question, just multiply all like terms.

- 4 \times 2 =  - 8

{b}^{3}  \times  {b}^{5}  =  {b}^{3 + 5}  =  {b}^{8}

Note that the b^3 and b^5 are just bunch of b multiplying with each other. So, that can be represented as adding the exponents.

- 8 \times {b}^{8}  =  - 8 {b}^{8}

Also, I intentionally calculated the like terms separately for your understanding. So, you can just write the answer directly after the question without the extra work shown above (unless the extra work is required).

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a number which produces a specified quantity when multiplied by itself.

Step-by-step explanation:

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“B” is the answer I think
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Marysya12 [62]

The linear relationship is y = 20x, 0 ≤ x ≤ 17.5 and the quadratic relationship is y = -16x² + 288, 0 ≤ x ≤ 3√2

<h3>The equations that represent the relationships</h3>

<u>The linear relationship</u>

When making the trip up, we have:

Rate = 20 feet per seconds

This means that the relationship is:

Distance = Rate * Time

So, we have:

y = 20x

The height of the tower is 350.

So, we have:

20x = 350

Divide by 20

x = 17.5

Hence, the linear relationship is y = 20x, 0 ≤ x ≤ 17.5

<u>The quadratic relationship</u>

The quadratic equation can be represented as:

y = -0.5ax² + vx + h

Where:

  • a = acceleration due to gravity = 32
  • v = velocity = 0
  • h = height = 288

So, we have:

y = -0.5 * 32x² + 0 * x + 288

Evaluate

y = -16x² + 288

When you get to the ground level, we have:

-16x² + 288 = 0

Subtract 288 from both sides

-16x² = -288

Divide by -16

x² = 18

Take the square root of both sides

x = ±3√2

Remove negative domain

x = 3√2

Hence, the quadratic relationship is y = -16x² + 288, 0 ≤ x ≤ 3√2

Read more about linear and quadratic equations at:

brainly.com/question/72196

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5 0
2 years ago
Coffee is a leading export from several developing countries. When coffee prices are high, farmers often clear forest to plant m
Marianna [84]

Answer:

The plot shows a positive linear association. Price is the explanatory variable.

*See attachment for the scatterplot of the data

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The rate of deforestation is dependent on the price of coffee. Therefore, the explanatory variable is the price of coffee, which affects rate of deforestation.

The response variable is the rate of deforestation. The rate of deforestation is influenced by the price of coffee.

When plotting a scatter plot, the values for the explanatory variable are plotted on the x-axis, while the response variables are plotted on the y-axis.

The data given below is what we would use in plotting the scatterplot shown in the attachment:

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25 => 0.31

49 = > 1.69

60 => 1.66

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The scatterplot graphed as shown in the attachment shows a positive linear relationship between price of coffee and rate of deforestation. As price increases, rate of deforestation also increases.

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Answer:

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