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ohaa [14]
3 years ago
15

Suppose that (x1, y1) and (x2, y2) are two points on a linear function. Write the formula to find the function’s rate of change

for the interval [x1, x2].
Mathematics
1 answer:
Rashid [163]3 years ago
8 0
This is just the slope.
(y2 - y1)/(x2 - x1)
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Y=x^2-2x-1 and y=-3x+5 solved algebraically
eduard

Answer:

Step-by-step explanation:

y=x²-2x-1

and y=-3x+5

x²-2x-1=-3x+5

x²+x-6=0

x²+3x-2x-6=0

x(x+3)-2(x+3)=0

(x+3)(x-2)=0

x=-3,2

when x=-3

y=-3×-3+5=9+5=14

when x=2

y=-3×2+5=-6+5=-1

so solutions are (-3,14) and (2,-1)

3 0
3 years ago
A population has a mean of 300 and a standard deviation of 70. Suppose a sample of size 125 is selected and is used to estimate
Mrrafil [7]

Answer:

a:  0.8884

b: 0.9934

Step-by-step explanation:

We have µ = 300 and σ = 70.  The sample size, n = 125.  

For the sample to be within 8 units of the population mean, we would have sample values of 292 and 308, so we want to find:

P(292 < x < 308).

We need to find the z-scores that correspond to these values using the given data.  See attached photo 1 for the calculation of these scores.

We have P(292 < x < 308) = 0.8884

Next we want the probability of the sample mean to be within 17 units of the population mean, so we want the values from 283 to 317.  We want to find

P(283 < x < 317)

We need to find the z-scores that correspond to these values.  See photo 2 for the calculation of these scores.

We have P(283 < x < 317) = 0.9934

5 0
2 years ago
How many diagonals can be drawn from each vertex of a 15-gon?
tangare [24]

Answer:

Correct option: third one -> 12

Step-by-step explanation:

In a polygon with 'n' vertex, we can trace diagonals from one vertex to all vertices, except to the vertex chosen and the two adjacent vertices (because we would have sides and not diagonals), so we would have 'n - 3' diagonals.

If we have a polygon with 15 vertex, the number of diagonals from one vertex is 15 - 3 = 12.

Correct option: third one

5 0
3 years ago
P=f/a, where f=70 and a=20 f is increased by 10 a is increased to by 10 <br><br>​
valina [46]

Answer:

P=3.5

P=2.667

Step-by-step explanation:

p=f/a

P=70/20

P=3.5

then f is increased by 10

f=70+10=80

and a is increased by 10

a=20+10

a=30

therefore; P=f/a

P=80/30

P=2.667

3 0
2 years ago
The __________ are tissues where gases from the air and the blood are exchanged.
Artyom0805 [142]

air sacs or alveoli the lungs and blood 3 transport

 of respiratory gases

7 0
3 years ago
Read 2 more answers
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