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3 years ago

What if the order of the function machine is changed? would it change the output? justify your answer?

Mathematics

1 answer:

Anastaziya [24]3 years ago

5 0

The output would change when the order of the function machine is changed

<h3>What are functions?</h3>

Functions are equations, graphs and tables that are used to represent a relation

The order of the function is given as:

$L(x)=x^2 -1$ .
$R(x) = 3(x + 2)$ .

When the order of the function is changed, then we have:

$R(x) = 3(x + 2)$ .
$L(x)=x^2 -1$

From the question, the input is 3.

So, we have:

$R(3) = 3(3 + 2)$

$R(3) = 3 \times 5$

$R(3) = 15$

Take 15 as the input of function L(x).

So, we have:

$L(15) = 15^2 - 1$

$L(15) = 224$

Notice that the output of both functions are different.

Hence, the output would change when the order of the function machine is changed

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On Martin's first stroke, his golf ball traveled 4 5 5 4 start fraction, 4, divided by, 5, end fraction of the distance to the

faltersainse [42]

Answer:

0.395 kilometers

Step-by-step explanation:

Please consider the complete question.

On Martin's first stroke, his golf ball traveled 4/5 of the distance to the hole. On his second stroke, the ball went into the hole. Martin was standing 79 meters from the hole as he took his second stroke. How many kilometers from the hole was Martin when he started?

Let x represent the distance between hole and start point.

In 1st stroke ball traveled 4/5 of the distance, so 1/5 of the distance was remaining from 2nd stroke to hole. This means the 1/5 of whole distance between start point and hole is equal to 79 meters.

We can represent this information in an equation as:

$\frac{1}{5}x=79$

$\frac{1}{5}x\cdot 5=79\cdot 5$

$x=395$

Since our distance is in meters, so we will convert 395 meters into kilometers by dividing by 1000.

$395\text{ meters}=\frac{395}{1000}\text{ km}=0.395\text{ km}$

Therefore, Martin was 0.395 kilometers from the hole, when he started.

3 0

3 years ago

42. The diagram represents a ramp in the shape of a right triangle and the lengths

oee [108]

The length of the ramp is 61 feet.

<h3>What is the length of the ramp?</h3>

In order to determine the length of the ramp, Pythagoras theorem would be used.

The Pythagoras theorem: a² + b² = c²

where a = length

b = base

c = hypotenuse

√11² + 60²

√121 + 3600

√3721

= 61 feet

Please find attached the image of the ramp. To learn more about Pythagoras theorem, please check: brainly.com/question/14580675

5 0

2 years ago

1.Lin and her brother each created a scale drawing of their backyard, but at different scales. Lin used a scale of 1 inch to 1 f

IceJOKER [234]

Answer:Part 1) The scale for the drawings without units are 1/12 and 1/36

Part 2) The scale drawing 1/12 is 3 times larger than the scale drawing of 1/36. The explanation in the procedure

Step-by-step explanation:we know that

1) Lin used a scale of

Remember that

1 ft=12 in

substitute in the scale

That means ----> 1 unit in the drawing represent 12 units in the actual

2) Her brother used a scale of

Remember that

1 yd=36 in

substitute in the scale

That means ----> 1 unit in the drawing represent 36 units in the actual

therefore

The scale for the drawings without units are 1/12 and 1/36

Part 2) Whose drawing is larger?

The scale drawing 1/12 is larger than the scale drawing of 1/36

To find out how many times as large is the scale 1/12 than the scale of 1/36

Divide 1/12 by 1/36

The scale drawing 1/12 is 3 times larger than the scale drawing of 1/36

Explanation

Let supposing that we want to represent in the drawing a measure that in its real size measures 36 units.

In the scale of 1/12, the drawing will show a measure of 3 units (remember 3(12)=36 units).

At the 1/36 scale, the drawing will show a measurement of 1 unit (remember 1(36)=36 units).

Therefore the largest drawing will be with a scale of 1/12.

4 0

3 years ago

Read 2 more answers

Mr. Waugh paid $42.00 for 12 gallons of gasoline. Ms. Peters paid $31.50 for 9 gallons of gasoline. What was theprice per gallon

dmitriy555 [2]

Answer:

$3.50 per pound

Step-by-step explanation:

Divide 42 by 12 or 31.5 by 9 and you get 3.5. In money, that is $3.50

4 0

3 years ago

Read 2 more answers

The equation of a circle is shown below. What is its center and radius? (x - 5.3)^2 + (y + 3.3)^2=49. ANSWERS ATTACHED, 15 POINT

sweet [91]

Answer:

The center is ( 5.3, -3.3) and 7 is the radius

Step-by-step explanation:

We can write the equation of a circle as

( x-h)^2 + ( y-k)^2 = r^2

Where ( h,k) is the center and r is the radius

(x - 5.3)^2 + (y + 3.3)^2=49

(x - 5.3)^2 + (y - -3.3)^2=7^2

The center is ( 5.3, -3.3) and 7 is the radius

8 0

3 years ago