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alexandr402 [8]
3 years ago
9

What are the solutions to the following system of equations?

Mathematics
2 answers:
Marina86 [1]3 years ago
8 0
       y = x² + 3x - 7
3x - y = -2

  3x - y = -2
- 3x      - 3x
        -y = -3x - 2
         y = 3x + 2

x² + 3x - 7 = 3x + 2
     - 3x       - 3x
        x² - 7 = 2
           + 7 + 7
             x² = 9
              x = ±3

The solutions to the following system of equations is ±3.
Ratling [72]3 years ago
5 0

Answer:

(-3,-7) and (3,11)

Step-by-step explanation:

we have

y=x^{2} +3x-7 -----> equation A

3x-y=-2 ------> equation B

we know that

The solution of the system of equations is equal to the intersection point both graphs

Using a graphing tool  

see the attached figure

There are two intersection points

Therefore

The system of equations has two solutions

The solutions of the system of equations are the points (-3,-7) and (3,11)

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SCORPION-xisa [38]

Answer:

yes?

Step-by-step explanation:

is this a true or false question

(its true)

8 0
3 years ago
Read 2 more answers
Hurry ASAP!!!!! I only need help with number 6 please explain how you get the answer to! The instructions for his equation is: s
SVETLANKA909090 [29]

Answer:

-ax + 6by + 10

Step-by-step explanation:

(2ax + 3by + 5) - (3ax - 3by - 5)

Subtrahend is the value AFTER the subtraction sign.  So in this example the subtrahends enclosed in the 2nd bracket are 3by and 5.

So subtracting by changing the signs of the subtrahends:

= 2ax + 3by + 5 - 3ax + 3by + 5

Collecting like terms:

= 2ax - 3ax + 3by + 3by + 5 + 5

Combining like terms:

= -ax + 6by + 10

5 0
3 years ago
26 was divided by a power of ten to get 0.26. What power of ten was it divided by?
Inga [223]

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3 0
3 years ago
What is a prime or composite number?
melomori [17]
-A prime number is a whole numbergreater than 1, whose only two whole-number factors are 1 and itself. The first few prime numbers are 2, 3, 5, 7, 11, 13, 17, 19, 23, and 29.

- A whole number that can be divided evenly by numbers other than 1 or itself. Example: 9 can be divided evenly by 3 (as well as 1 and 9), so 9 is acomposite number. But 7 cannot be divided evenly (except by 1 and 7), so is NOT a composite number (it is a prime number).
6 0
3 years ago
The velocity of a particle moving back and forth on a line is vequalsStartFraction ds Over dt EndFraction equals6 sine (2 t )Sta
max2010maxim [7]

Answer:

s = 6 m

Step-by-step explanation:

The value of the velocity v is given as:

v = \frac{ds}{dt} = 6 sin(2t) m/s

To find s, we have to integrate and apply the initial values of s = o when t = 0:

\frac{ds}{dt} = 6 sin(2t)\\\\\int\limits^s_0 {ds} = \int\limits^t_0 {6sin(2t)} \, dt\\\\s|^s_o = -3cos(2t)|^t_o\\\\s - 0 = -3cos(2t) -(-3cos(0))\\\\s = -3cos(2t) + 3(1)\\\\s = -3cos(2t) + 3

When t = π/2, s will be:

s = -3cos(2 * π/2) + 3

s = -3cos(π) + 3

s = -3(-1) + 3

s = 3 + 3

s = 6 m

4 0
3 years ago
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