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alexandr402 [8]
3 years ago
13

You have learned three ways for solving systems of equations: graphing, substitution and elimination.

Mathematics
1 answer:
ra1l [238]3 years ago
6 0

Answer:

Elimination

Step-by-step explanation:

Graphing takes too long, substitution can sometimes complicate things quickly, therefore I would use elimination as my prime method of solving systems of equations.

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What is the length of leg s of the triangle below?
Phoenix [80]

Answer:

option A

Step-by-step explanation:

take 45 degree as reference angle

using sin rule

sin 45 = opposite / hypotenuse

\frac{1}{\sqrt{2} } = s/8\sqrt{2}

\frac{1}{\sqrt{2} } *8\sqrt{2} = s

root 2 and root 2 gets cancel

8 = s

8 0
3 years ago
Does it make sense? In my data set of 10 exam scores, the mean turned out to be the score of the person with the third highest g
san4es73 [151]

Answer:

Yes

Step-by-step explanation:

Given that  In my data set of 10 exam scores, the mean turned out to be the score of the person with the third highest grade.

No two people got the same score.

Let the scores be a,b,c,d,e in ascending order where no two scores are equal

If a+b=d+e =2c then we can have c as the mean of the scores of 5 persons

This is because

Total sum = a+b+c+d+e = (a+b)+c+(d+e)

= 2c+c+2c=5c

Average= 5c/5 = c

It makes sense and there are chances as long as the above condition is satisfied.

8 0
3 years ago
Two kg of tea and 3 kg of sugar cost rupees 39 in january 1997, However in march 1997 the price of the tea increased by 25% and
Irina18 [472]

Answer: tea = 15 rupees  per kg

sugar= 3 rupees per kg

Step-by-step explanation:

Hi, to answer this question we have to write a system of equations with the information given:

<em>"Two kg of tea and 3 kg of sugar cost rupees 39 in january 1997": </em>

2 t + 3 s =39 (a)

Where:

  • t= price of 1 kg of tea
  • s = price of 1 kg of sugar

<em>"in march 1997 the price of the tea increased by 25% (1.25)and the price of the sugar increased by 20%(1.20) and the same quantity of tea and sugar cost rupees 48.30. "</em>

2(t1.25)+3(s1.2) = 48.30 (b)

  • <em>Solving for t in (b) </em>

2t =39-3s

t = (39 -3s)/2

t = 19.5-1.5s

  • <em>Replacing the value of t in (b) </em>

2 x ((19.5-1.5s)1.25)+ 3 ( 1.2s) =48.30

2x ( 24.375 -1.875s) +3.6s =48.30

48.75 -3.75s+3.6s= 48.30

48.75-48.30 = 3.75s-3.6s

0.45= 0.15s

0.45/0.15 =s

3 =s

  • <em>Replacing the value of s in (a) </em>

2 t + 3 (3) =39

2 t + 9 =39

2 t =39 -9

2 t =30

t = 30/2

t= 15

Prices in january:

tea = 15 rupees per kg

sugar= 3 rupees per kg

Feel free to ask for more if needed or if you did not understand something.

4 0
3 years ago
Read 2 more answers
Solve y=-3x² + 4.5x – 20<br> Use the Quadratic formula
statuscvo [17]

Answer:

x=0.75 \pm 2.47067i

Step-by-step explanation:

Quadratic Formula: x=\frac{-b \pm \sqrt{b^2-4ac} }{2a}

√-1 is imaginary number i

Step 1: Define

y = -3x² + 4.5x - 20

a = -3

b = 4.5

c = -20

Step 2: Substitute and Evaluate

x=\frac{-4.5 \pm \sqrt{4.5^2-4(-3)(-20)} }{2(-3)}

x=\frac{-4.5 \pm \sqrt{20.25-240} }{-6}

x=\frac{-4.5 \pm \sqrt{-219.75} }{-6}

x=\frac{-4.5 \pm \sqrt{219.75}(\sqrt{-1} ) }{-6}

x=\frac{-4.5 \pm i\sqrt{219.75} }{-6}

x=\frac{4.5 \pm i14.824 }{6}

x=0.75 \pm 2.47067i

7 0
3 years ago
I need help with this .
Artist 52 [7]

Answer: electricity can be used to create magnetism

Step-by-step explanation:

4 0
3 years ago
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