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sertanlavr [38]
10 months ago
10

Find the equation of each line with the following general informatie (c) r-intercept a and slope m (d) inclination and y-interce

pt b
Mathematics
1 answer:
VikaD [51]10 months ago
6 0

Let's use the slope-intercept equation:

\begin{gathered} y=mx+b \\ m=slope \\ b=y-intercept \\ x-intercept=a \\ x=\frac{y-b}{m} \\ x=\frac{y}{m}-\frac{b}{m} \\ x=\frac{y}{m}-a \\ or \\ y=mx+ma=m(x+a) \end{gathered}

------------------------------------

d)

\begin{gathered} y=mx+b \\ m=slope=\theta \\ b=y-intercept \\ y=\theta x+b \\  \end{gathered}

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Solve the equation:<br><br> 3t²-3t+1=0
podryga [215]

Answer:

There are no solutions

Step-by-step explanation:

3 0
3 years ago
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Researchers at the Centers for Disease Control and Prevention have been studying the decay pattern of a new virus with a decay r
koban [17]

The Researcher will find 69 viruses, because 231 viruses are decayed in 7 hours, if a virus with a decay rate of 19% per hour and they start with 300 viruses.

Step-by-step explanation:

The given is,

                     A new virus with a decay rate of 19% per hour  

                    They start with 300 viruses

Step:1

                  Formula to calculate the viruses at decay rate,

                                                  y = A(1-r)^{t}............................(1)

                 Where, y - No of viruses after given time

                             A - Viruses at initial stage

                              r - Decay rate

                              t - No. of hours

                 From the given,

                              A = 300

                               r = 19% per hour

                               t = 7 hours

                Equation (1) becomes,

                                            y = 300(1-0.19)^{7}

                                               = 300(0.81)^{7}

                                               = 300(0.228767)

                                               = 68.63

               Viruses of 7 hours ≅ 69 viruses

                                                     ( or )

Step:1

        For 1st hour,

          = (No.of viruses in hour) - (No,of viruses in last hour × Decay rate )

              = (300)-(300 × 0.19)

              = 300 - 57

              = 243

       For 2nd hour,

              = (243)-(243 × 0.19)

              = 243 - 46.17

              = 196.83

      For 3rd hour,

              = (196.83)-(196.83 × 0.19)

              = 196.83 - 37.39

              = 159.4323

       For 4th hour,

              = (159.4323)-(159.4323 × 0.19)

              = 159.4323 - 30.2921

              = 129.1402

      For 5th hour,

              = (129.1402)-(129.1402 × 0.19)

              = 129.1402 - 24.5366

              = 104.6035

     For 6th hour,

              = ( 104.6035)-( 104.6035 × 0.19)

              =  104.6035 - 19.8747

              = 84.7288

     For 7th hour,

              = (84.7288)-(84.7288 × 0.19)

              =  84.7288 - 16.0984

              = 68.63 viruses

Result:

          The Researcher will find 69 viruses, because 231 viruses are decayed in 7 hours, if a virus with a decay rate of 19% per hour and they start with 300 viruses.

7 0
3 years ago
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Hatshy [7]

Answer:

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Step-by-step explanation:

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5 0
2 years ago
A pair of shoes usually sells for $61. If the shoes are 30% off, and sales tax is 6%, what is the total price of the shoes, incl
Vinil7 [7]

Answer:

$45.26

Step-by-step explanation:

30% × 61 = 18.3

= $18.30 off, 61 - 18.3 = 42.7

6% × 42.7 = 2.562

= 42.7 + 2.562

=  45.26

8 0
2 years ago
Match the pairs of equivalent expressions.
Marysya12 [62]

Answer:

y - 0.32y = 0.68y

y + 0.32y = 1.32 y

Step-by-step explanation:

To simplify expressions, add/subtract using the coefficients of the terms.

y – 0.32y should be 1 - 0.32 = 0.68. This simplifies to 0.68y.

y + 0.32y should be 1 + 0.32 = 1.32. This simplifies to 1.32y.

7 0
3 years ago
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