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Nataly [62]
3 years ago
15

5. Write an equation for a line with slope of -2/3 and y-intercept 4.

Mathematics
1 answer:
RSB [31]3 years ago
5 0

Answer:

y = -2/3x + 4

Step-by-step explanation:

In the y = mx + b form, the slope is represented by m and the y-intercept is represented by b.

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A dog owner is told by the veterinarian that his dog, Max, is overweight and needs to lose 4 to 5 pounds in order to live a heal
hodyreva [135]
This is a linear function, of the kind y = mx + b

where x is the number of visit,  b is the weight when x = 0, and m is the predicted change of weight for every visit.

m = - 4 ounces / visit, which must be converted to pounds (the negative sign indicates that the change is a decrease)

1 lb = 16 ounces = 4 ounces = 0.25 lb

Then m = - 0.25 lb / visit.

Now, for x = 1, y = 126 => 126 = - 0.25(1) + b => b = 126 + 0.25 = 126.25

Then the function is y = 126.25 - 0.25x

Now round to the nearest tenth:

y = 126.3 - 0.3x

Answer: y = 126.3 - 0.3x

 

6 0
3 years ago
Suppose commute times in a large city are normally distributed and that 63.70% of commuters in this city take more than 22 minut
USPshnik [31]

Answer:

The mean is 24.205

Step-by-step explanation:

Firstly, we need to get the z-score

From the question, the probability we have is the probability that commuters take more than 22 minutes to commute one-way

So the probability we had was;

P( x > 22)

So we need the z-score corresponding to 63.70% or simply 0.637

We can use the standard normal distribution table to get this

Mathematically, from the standard normal distribution table this is -0.35

z-score = (x- mean)/SD

-0.35 = (22-mean)/6.3

22-mean = -2.205

mean = 22 + 2.205 = 24.205

6 0
3 years ago
An important property of every line is its steepness, or____
guajiro [1.7K]
\text{Slope}
3 0
3 years ago
Read 2 more answers
Find the value of x 50 and please explain how?
nikklg [1K]

Answer:

180-50=130

So the answer is 130

7 0
3 years ago
Read 2 more answers
Is -cos(x) the same as cos(-x)?
miss Akunina [59]

Answer:

Not the same

Because if it derives, it will be positive and the other negative

6 0
2 years ago
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