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3 years ago

What is the rule/output?

Mathematics

2 answers:

tankabanditka [31]3 years ago

7 0

Answer:

The rule is y = 4x - 5.

Step-by-step explanation:

Notice that if we start with x = 1 and increase x by 1, we get 2. Simultaneously, y starts with -1 and becomes 3. Thus, the slope is m = rise / run = 4/1, or 4.

The rule is y = 4x - 5.

Check: Suppose we pick input 4 from the table. Does this rule produce output 11? Is 11 = 4(4) - 5 true? YES.

labwork [276]3 years ago

6 0

Answer:

y = 4x - 5

Step-by-step explanation:

Have you been taught to set up 2 equations and 2 unknowns?

That is actually the only way I could do this.

y = mx + b

x = 2

y = 3

3 = 2m + b

x = 1

y = -1

-1 = m + b Multiply by 2. That means that the m term will cancel.

================

-2 =2m +2b

<u>3 = 2m + b </u> Subtract

-5 = b

==================

3 = 2m + b Substitute - 5 for b

3 = 2m - 5 Add 5 to both sides.

3+5= 2m-5+5 Combine

8 = 2m Divide by 2

8/2=2m/2

m = 4

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4x^2 + 36 / 4x × 1 / 5x

stich3 [128]

Given with a polynomial 4X² + 36/4X *1/5X, we can combine terms with the same power. First, let us perform multiplication of the 2nd and 3rd terms such as the given become 4X² + 36/20X². Then, we can reduce 36 and 20 by 4 and the result is 4X² + 9/5X². We can now proceed combining the terms since they have same power and result will be same as below:
(20X^4 + 9)/5X²

3 0

2 years ago

6. The dimensions of a rectangular garden are 380ft x 250ft. If you want to walk around this garden to make 3 miles for a mornin

SSSSS [86.1K]

Answer:

Step-by-step explanation:

L=3(5280)/(2(380+250))

L=15840/1260

L=12.57

So to walk three miles one must walk around the garden 12.57 times.

7 0

2 years ago

Based on FAA estimates the average age of the fleets of the 10 largest U.S. commercial passenger carriers is 13.4 years with a s

Aliun [14]

Answer : 0.0129

Step-by-step explanation:

Given : Based on FAA estimates the average age of the fleets of the 10 largest U.S. commercial passenger carriers is $\mu=13.4$ years and standard deviation is $\sigma=1.7$ years.

Sample size : $n=40$

Let X be the random variable that represents the age of fleets.

We assume that the ages of the fleets of the 10 largest U.S. commercial passenger carriers are normally distributed.

For z-score,

$z=\dfrac{x-\mu}{\dfrac{\sigma}{\sqrt{n}}}$

For x=14

$z=\dfrac{14-13.4}{\dfrac{1.7}{\sqrt{40}}}\approx2.23$

By using the standard normal distribution table , the probability that the average age of these 40 airplanes is at least 14 years old will be :-

$P(x\geq 14)=P(z\geq2.23)\\\\=1-P(z$

Hence, the required probability = 0.0129

6 0

2 years ago

Simplify (9k6 + 8k4 - 6k2)(4k2 - 5)

Tasya [4]

Answer:

$36k^8-13k^6-64k^4+30k^2$

Step-by-step explanation:

$36k^8-13k^6-64k^4+30k^2\\9k^6*(4k^2-5)+8k^4*(4k^2-5)-6k^2*(4x^2-5)\\36k^8-45k^6+8k^4*(4k^2-5)-6k^2*(4x^2-5)\\36k^8-45k^6+32k^6-40k^4-6k^2*(4x^2-5)\\36k^8-45k^6+32k^6-40k^4-24k^4+30k^2\\36k^8-13k^6-40k^4-24k^4+30k^2\\36k^8-13k^6-64k^4+30k^2$

8 0

3 years ago

3. For a month, a parent offers to increase her son’s allowance by $4 each week. If he earned $9 the first week, how much will h

devlian [24]

Step-by-step explanation:

it would be 9+4=13+4=17 answer $17

6 0

2 years ago