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bekas [8.4K]
3 years ago
13

Solve. x² – 5x + 6 = 0 {–2, –3} {2, 3} {3, –2} {5, –1}

Mathematics
1 answer:
ddd [48]3 years ago
4 0
What 2 numbes multiply go get 6 and add to get -5
-6 and 1

(x-6)(x+1)=0
set to zero

x-6=0
x=6

x+1=0
x=-1

last one
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What is the length of the line?
Ivanshal [37]

Answer:

Step-by-step explanation:

Pretend you see a right triangle here. From the lower end of the line go up 5 and you will be on the same horizontal as the upper end of the line. Go over 6 units and you close your triangle. This is a right triangle with legs 5 and 6 units long. We are looking for the hypotenuse of this triangle. Use Pythagorean's Theorem:

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8 0
3 years ago
11.Write the equations of linear and exponential functions that pass through the points (0,9) and (1,3)
Schach [20]

9514 1404 393

Answer:

  y = -6x +9

  y = 9·(1/3)^x

Step-by-step explanation:

In each case, the y-intercept is 9.

Linear

The slope is rise/run = (3-9)/(1-0) = -6, so the equation is ...

  y = mx + b . . . . . . . slope m, intercept b

  y = -6x +9

Exponential

The ratio of value at x=1 to that at x=0 is 3/9 = 1/3. That is the "growth factor," so the equation is ...

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7 0
3 years ago
The average lateness for one of the top airline companies is 10 minutes. The variance of the lateness measure is calculated as 9
Soloha48 [4]

Answer:

The z score for the airplane arriving 13 minutes after arrival time is 0.33

Step-by-step explanation:

Using normal distribution,

The average lateness for one of the top airline companies is 10 minutes. So our mean, u = 10

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x =13 which stands for arrival time.

Using normal distribution,

z = (x - u)/s

z = (13 - 10)/9 = 3/9 = 0.33

The z score for the airplane arriving 13 minutes after arrival time is 0.33. The probability value of the z score can be found by looking at the Normal distribution table

6 0
3 years ago
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