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olga2289 [7]
3 years ago
5

Please answer these that i circled. If you cant see them tell me. Tell me the ones you can see.

Mathematics
1 answer:
frutty [35]3 years ago
6 0
#6 is 6, #7 is 7, #8 is 2
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What is the equation of the line, in slope-intercept form, that passes through (3, -1) and (-1, 5)?
Valentin [98]

Answer: a) y = - 3/2 x + 7/2

Step-by-step explanation:

The equation of a straight line can be represented in the slope-intercept form, y = mx + c

Where c = y intercept

m represents the slope of the line.

m = (y2 - y1)/(x2 - x1)

y2 = final value of y

y 1 = initial value of y

x2 = final value of x

x1 = initial value of x

The line passes through (3, - 1) and (- 1, 5),

y2 = 5

y1 = -1

x2 = - 1

x1 = 3

Slope,m = (5 - - 1)/(- 1 - 3) = 6/- 4 =

- 3/2

To determine the y intercept, we would substitute x = 3, y = - 1 and m= - 3/2 into y = mx + c. It becomes

- 1 = - 3/2 × 3 + c

- 1 = - 9/2 + c

c = - 1 + 9/2

c = 7/2

The equation becomes

y = - 3x/2 + 7/2

4 0
3 years ago
Read 2 more answers
Simplify. Rewrite the expression in the form 5^n <br> 5^2*5^5
alexdok [17]

Answer:

5^10

Step-by-step explanation:

3 0
3 years ago
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Is -6 over 7 a whole number a integer number or a rational number
vodka [1.7K]

Answer:

It is a rational number

Step-by-step explanation:

It is a rational number because -6/7 is equal to -0.857142 repeating. And a rational number repeats.

Hope this helps☝️☝☝

6 0
3 years ago
Read 2 more answers
The Robotics Manufacturing Company operates an equipment repair business where emergency jobs arrive randomly at the rate of thr
cluponka [151]

Answer:

The correct answer is:

  • \lambda=0.375 \ jobs \ per \ hour
  • \mu=0.5 \ jobs \ per \ hour

Step-by-step explanation:

The given values are:

Service time varies,

Repair time = 2 hours

Standard deviation = 1.5 hours

Robotics uses per hour cost,

= $35

Company's cost per hour,

= $28

(a)

⇒ Arrival rate = Jobs per hours

then,

                       = \frac{8 \ hours}{3 \ jobs}

                       = 2.666 \ hours \ per \ job

The jobs per hour will be:

⇒  \lambda=\frac{1}{2.666}

       =0.375

(b)

⇒ Service rate = jobs per hour

then,

                      μ = \frac{1 \ repair \ job}{2 \ hours}

                         = 0.5 \ jobs

7 0
3 years ago
Simplify. show work please 5 1/3+(-3 9/18)
Nikolay [14]
51/3+-39/18

= 89/6

Answer is 14.833333
8 0
3 years ago
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