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mariarad [96]
3 years ago
12

Solve the simultaneous equation y = x^2 and y = 3x - 2

Mathematics
1 answer:
gayaneshka [121]3 years ago
3 0

Answer:

{x}^{2}  = 3x - 2 \\  {x}^{2}  - 3x + 2 = 0 \\ (x - 1)(x - 2) = 0 \\ x = 1 \: or \: x = 2 \\ for \: x \:  = 1  \\ \: y =  {(1)}^{2}  = 1 \\ for \: x = 2 \\ y =  {(2)}^{2}  = 4

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For their homecoming​ parade, the students of​ U-Math have created a colorful​ banner, 57 meters in​ length, that is made of two
BartSMP [9]

Answer:

Length\ of\ the\ long\ piece=40\ meters\\\\Length\ of\ the\ short\ piece=17\ meters

Step-by-step explanation:

Let be "s" the length in meters of the short piece and "l" the lenght in meters of the long piece.

Set up a system of equations:

\left \{ {{s+l=57} \atop {s=l-23}} \right.

Apply the Substitution Method to solve the system. Substitute the second equation into the first equation and solve for "l":

(l-23)+l=57\\\\2l=80\\\\l=\frac{80}{2}\\\\l=40

Susbstitute the value of "l" into the second equation in order to find the value of "s". This is:

s=40-23\\\\s=17

6 0
3 years ago
Example 24 In a school there are 20 teachers who teach mathematics or physil
Trava [24]

Answer:

The number of teachers who teach  physics   n(P) = 12

Step-by-step explanation:

<u><em>Step(i):</em></u>-

Given that the number of teachers who teach mathematics or physics

n(MUP) = 20

Given that  the number of teachers who teach mathematics

n(M) = 12

Given that the number of teachers who teach both mathematics and physics

n(M∩P) = 4

<u><em>Step(ii):-</em></u>

By using   n(A∪B) = n(A) + n(B) - n(A∩B)

                n(M∪P) = n(M) +n(P) - n(M∩P)

                20         = 12 + n(P) - 4

               20 -12 +4 = n(P)

                    n(P) = 12

<u><em>Final answer:-</em></u>

The number of teachers who teach  physics   n(P) = 12

3 0
3 years ago
Read 2 more answers
How much of the circle is shaded? Write your answer as a fraction in simplest form
Valentin [98]

Answer:

11/20

Step-by-step explanation:

Finding the common denominator, which is 20, we convert 1/5 into 4/20 and 1/4 into 5/20. Adding those up, the remainder when subtracted from 1, the total, is 11/20.

8 0
2 years ago
The value of x must be greater than ________.<br> 0<br> 1<br> 3<br> 7
Mekhanik [1.2K]

Answer:

Neither, x can be a negative number as well. If there is context, please post more to the question.

Step-by-step explanation:

7 0
3 years ago
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If you multiplied a number by 0.5, the result would be
Jet001 [13]
27 x 2363 = 10 which means your anwser is B 
4 0
3 years ago
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