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Orlov [11]
3 years ago
5

Use substitution to solve the linear system of equations.

Mathematics
1 answer:
Crazy boy [7]3 years ago
4 0

Answer:

(-2,-8)

Step-by-step explanation:

y=4x

3x+5y=-46

3x+5(4x)=-46

3x+20x=-46

23x=-46

x=-2

y=4(-2)

y=-8

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Ashley brought 7/8 gallon of lemonade to the party. her friends 2/3 drink of it. how many gallons of lemonade did they drink?
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6 0
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Identify an equation in point-slope form for the line perpendicular to y =3/4x -4 that passes through (-1, 7).
PilotLPTM [1.2K]

Answer:

y - 7 = -4/3(x + 1)

Step-by-step explanation:

<u>Given</u>

  • y =3/4x -4
  • (-1, 7)

<u>Convert to point slope form</u>

y - y1 = m(x - x1)

m: represents what the slope is

y - 7 = -4/3(x + 1)

<u>Distribute -4/3</u>

-4/3 * x = -4/3x

-4/3 * 1 = -4/3

y - 7 = -4/3x - 4/3

<u>Add seven in both sides</u>

21/3 -4/3 = 17/3

y = -4/3x + 17/2

<u>Answer</u>

linear equation: y = -4/3x + 17/2

point-slope form: y - 7 = -4/3(x + 1)

3 0
3 years ago
Voltage sags and swells. The power quality of a transformer is measured by the quality of the voltage. Two causes of poor power
zysi [14]

Answer:

a

 z-score = 1.57

b

 z-score_s = -3.36

Step-by-step explanation:

From the question we are told that

   The sample size is  n =  103  

    The  sample mean of  sag is  \= x_1 =  353

     The sample mean of swells is  \= x_2 =  184

    The standard deviation of  sag is  s_1  =  30

     The standard deviation of swells is  s_2  =  25

     The number of swell for a randomly selected transformer is  k  =  100

      The number of sag for a randomly selected transformer is  c  =  400

Generally the z-score for the number of swells is mathematically represented as

     z-score_s = \frac{ k - \= x_2}{s_2}

=>   z-score_s = \frac{ 100- 184}{25}

=>     z-score_s = -3.36

       

Generally the z-score for the number of sags is mathematically represented as    

      z-score = \frac{ c - \= x_1}{s_1}

     z-score = \frac{ 400 - 353}{30}

     z-score = 1.57

4 0
3 years ago
A number a decreased by 7 is 2.
umka21 [38]

Answer:

9

Step-by-step explanation:

Let's first convert this to numbers. When a number is decreased by a certain amount, that is the same as saying that something is subtracted from it. Therefore:

a-7=2

Add 7 to both sides:

a-7+7=2+7

a=9

Hope this helps!

7 0
3 years ago
Read 2 more answers
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