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avanturin [10]
3 years ago
8

For each function shown:

Mathematics
1 answer:
Basile [38]3 years ago
4 0

Answer:

Given:

Function 1 : y = 0.5+3x

Function 2: y = 3(0.5)x

To find the starting point in each functions:

In function 1;

for x =0

y = 0.5+3(0) = 0.5

(0, 0.5) is the starting point

In function 2;

for x =0

y = 3(0.5)(0)= 0

(0, 0) is the starting point.

Explain how y changes as x increases.

In Function 1:

y = 0.5+3x

As  x increases,  y gradually increases by adding 3.

In Function  2:  

y = 3(0.5)x =\frac{3}{2}x

As x increases, y gradually decreases by dividing by 2.

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A canadian goose and a Great blue heron took off in opposite directions. The goose flew at 20 mph, and the heron flew at 10 mph.
iris [78.8K]

The Canadian goose flew for 4 hours and the Great blue heron flew for 10 hours

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more variables and numbers.

Let a represent the time flown by the goose and b represent the time flown by the heron. Hence:

a + b = 14    (1)

Also:

20a + 10b = 180   (2)

From equation 1 and 2:

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The Canadian goose flew for 4 hours and the Great blue heron flew for 10 hours

Find out more on equation at: brainly.com/question/2972832

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4 0
2 years ago
There is 3 4 of an apple pie left from dinner. Tomorrow, Victor plans to eat 1 4 of the pie that was left. Enter how much of the
lora16 [44]

Answer:

3/16

Step-by-step explanation:

Let the size of the whole apple be T

Given that 3/4 of the apple is left, it means the size left

= 3T/4

Since Victor plans to eat 1/4 of the pie that was left, this amounts to

1/4 * 3T/4

= 3T/16

This means that Victor will eat 3/16 of the whole pie tomorrow

5 0
3 years ago
Sweaters cost $42 each .For every 5 sweaters You buy,You get 1 sweater free.How much will a total of sweaters cost ?
solniwko [45]

<u><em>Note: I think you may have unintentionally missed to mention the amount of total sweaters for which we have to measure the cost. So, after a little research, I was able to find the complete question. So, I will answer your question based on the following completing question. Anyways, it would clear your concept hopefully.</em></u>

Here is the complete question:

<em>Sweaters cost $42 each. For every 5 sweaters You buy,You get 1 sweater free. How much will a total of 30 sweaters cost?  </em>

Answer:

The cost of 30 sweaters = $1050

Step-by-step explanation:

What to determine?

How much will a total of 30 sweaters cost?

Information Fetching and Solution Steps:

  • The cost of each sweater = <em>$42</em>
  • For every 5 sweaters You buy, you get 1 sweater free. It means you will be able to get 6 sweaters for the price of 5

As

The cost of 6 sweaters ⇒ The cost of 5 sweaters + 1 free = 42×5 = $210

So

If the cost of 6 sweaters = $210

Then

the cost of 30 sweaters = 210 × 5 = $1050

Therefore, the cost of 30 sweaters = $1050

<em>Keywords: cost</em>

<em> Learn more cost problems from brainly.com/question/13005346</em>

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8 0
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