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nekit [7.7K]
1 year ago
8

Linear Relationships Study Guide 1.) Select all the equations for which (-6, -1) is a solution. Show your work to prove that eac

h solution is correct. A.y= 4x + 23 B. y = 6x C. y = 3x - 5 D. y = x E. y = -6 -
Mathematics
1 answer:
TiliK225 [7]1 year ago
6 0

we have point (-6, - 1)

Now we will put these points in each equation,

y = 4x +23

put x = -6 and y = -1

-1 = 4 (-6) +23

-1 = -24 + 23

-1 = -1

LHS = RHS, so this equation has (-6 , -1) as solution.

y = 6x

put x = -6 and y = -1

-1 = 6 (-6)

-1 not= -36

LHS is not equal RHS, so (-6 , -1) is not a solution for that equation,

y = 3x - 5

put x = -6 and y = -1

-1 = 3 (-6) - 5

-1 = -18 - 5

-1 not= -23

LHS is not equal RHS, so (-6 , -1) is not a solution for that equation,

y= 1/6 x

put x = -6 and y = -1

-1 = -6/6

-1 = -1

LHS = RHS, so (-6 , -1) is a solution for that equation,

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According to a study done by De Anza students, the height for Asian adult males is normally distributed with an average of 66 in
Zolol [24]

Answer:

The probability that the person is between 65 and 69 inches is 0.5403

Step-by-step explanation:

Mean height = \mu = 66

Standard deviation = \sigma = 2.5

We are supposed to find What is the probability that the person is between 65 and 69 inches i.e.P(65<x<69)

Z=\frac{x-\mu}{\sigma}

At x = 65

Z=\frac{65-66}{2.5}

Z=-0.4

Refer the z table for p value

P(x<65)=0.3446

At x = 69

Z=\frac{69-66}{2.5}

Z=1.2

P(x<69)=0.8849

So,P(65<x<69)=P(x<69)-P(x<65)=0.8849-0.3446=0.5403

Hence the probability that the person is between 65 and 69 inches is 0.5403

6 0
3 years ago
Use Ohm’s law to find the resistance of the light bulb if you had a 20 volt battery and 0.57 amps of current. Show your work for
aleksley [76]
For this case we have the following equation:
 V = I * R
 Where,
 V: voltage
 I: current
 R: resistance
 By clearing R we have:
 R = V / I
 Substituting the values:
 R = (20) / (0.57)
 R = 35.09 Ohms
 Answer:
 
The resistance of the light bulb is:
 
R = 35.09 Ohms
6 0
3 years ago
A radio station requires DJs to play 3 commercials for every 18 songs they play. What is the unit rate of songs to commercials?
bulgar [2K]
6 songs

The way to find this answer is to divide 18 by 3, which is six, which means that after every six songs a commercial is played. 

Hope this was helpful and that I explained it correctly. 
3 0
3 years ago
What is the area of a section of pavement that is 10 ft wide and 70 yd​ long? Give your answer in square feet. I think I have th
Elenna [48]

Answer:

  2100 ft²

Step-by-step explanation:

1 yard is 3 ft, so 70 yards is (70 yd)×(3 ft/yd) = 210 feet.

The area of the pavement is the product of its length and width:

  area = (210 ft)(10 ft) = 2100 ft²

_____

If you keep the units with the numbers as I have done here, you find that the product of (10 ft) and (70 yd) does not have the units of ft². Rather, the units are ft·yd, which is <em>not what the problem is asking for</em>.

6 0
3 years ago
What is a perimeter, but each unit is 1 centimeter
guapka [62]
Perimeter is the sum of all the sides of the polygon :)
7 0
3 years ago
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