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Yuliya22 [10]
2 years ago
13

Solve the system of equations: y= x^2 + 2x - 3 and y=3x+ 3.

Mathematics
1 answer:
Semenov [28]2 years ago
3 0

Answer:

(-2, -3)

(3, 12)

Step-by-step explanation:

To solve this, we're gonna get rid of the y's with substitution

x² + 2x - 3 = 3x + 3

Let's make this equation equal to zero

Subtract 3 from both sides

x² + 2x - 3 = 3x + 3

            - 3         - 3

x² + 2x - 6 = 3x

Subtract 3x from both sides

x² + 2x - 6 = 3x

    - 3x        - 3x

x² - x - 6 = 0

Factor the equation

(x - 3)(x + 2) = 0

This means x can be -2 or 3

Let's solve it with -2 first, plug the new x in y = 3x + 3

y = 3(-2) + 3

y = -6 + 3 = -3

Do the same for x = 3

y = 3(3) + 3

y = 9 + 3 = 12

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If f(x) =1/4x+3, what is the equation for f^-1 (x)?
ser-zykov [4K]
4x - 12

You can get this by switch the f(x) and the x and then solving for the new f(x) 
7 0
3 years ago
A system of equations is shown below:
gtnhenbr [62]
Y = 8x - 2
y = 9x - 7

  8x - 2 = 9x - 7
- 8x       - 8x
        -2 = x - 7
      + 7      + 7
         5 = x

y = 8x -2
y = 8(5) - 2
y = 40 - 2
y = 38
(x, y) = (5, 38)

The answer is C.
8 0
4 years ago
3. At the start of summer, Ben has $250 . He takes a summer
earnstyle [38]

Answer:

Week 4

Step-by-step explanation:

Ben has $250 in the beginning.  He saves $150 per week.

y = 150x + 250

Tim has $1,650 in the beginning.  He spends $200 per week.

y = 1650 - 200x

We are trying to find which x-value produces the same y-value for both equations.  You can do this by setting both equations equal to each other.

150x + 250 = 1650 - 200x

(150x + 250) + 200x = (1650 - 200x) + 200x

350x + 250 = 1650

(350x + 250) - 250 = (1650) - 250

350x = 1400

(350x)/350 = (1400)/350

x = 4

By week 4, they will have the same amount of money.

3 0
3 years ago
Do the following points represent a function? (0,2) (1,4) (0,4) (3,9) (5,8)​
photoshop1234 [79]
<h3>Answer: No, this isn't a function.</h3>

Why not? Focus on the two points (0,2) and (0,4)

We have the x value x = 0 show up twice. Any time x repeats itself like this, it leads to "not a function" as the result.

In other words, the input x = 0 leads to multiple outputs y = 2 and y = 4 at the same time. A function is only possible if every x input leads to exactly one y output.

If you are a visual learner, then plot all of the points on the same xy grid. Then notice how (0,2) and (0,4) fail the vertical line test to show we don't have a function.

Side note: The y values can repeat themselves in a function.

8 0
2 years ago
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! HELP ASAP 20 PTS !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
spayn [35]
Slot method or permutations
top 3
6 for first slot
5 for 2nd slot
4 for 3rd
6*5*4=120


120 possiblites

answer is C
5 0
3 years ago
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