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BaLLatris [955]
2 years ago
9

How many solutions does the system of equations have? y=-2x+3 y = x² - 6x +3

Mathematics
1 answer:
Mashutka [201]2 years ago
6 0

Answer:

2 solutions

Step-by-step explanation:

y = - 2x + 3 → (1)

y = x² - 6x + 3 → (2)

substitute y = x² - 6x + 3 into (1)

x² - 6x + 3 = - 2x + 3 ( subtract - 2x + 3 from both sides )

x² - 4x = 0 ← factor out x from each term on the left side

x(x - 4) = 0

equate each factor to zero and solve for x

x = 0

x - 4 = 0 ⇒ x = 4

substitute these values into (1)

x = 0 : y = - 2(0) + 3 = 0 + 3 = 3 ⇒ (0, 3 )

x = 4 : y = - 2(4) + 3 = - 8 + 3 = - 5 ⇒ (4, - 5 )

the 2 solutions are (0, 3 ) and (4, - 5 )

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For f (x) = 3x + 1 and g(x) = x^2 -6, find (f-g) (x)
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Answer:

D

Step-by-step explanation:

(f - g)(x) = f(x) - g(x), so

f(x) - g(x)

= 3x + 1 - (x² - 6) ← distribute by - 1

= 3x + 1 - x² + 6 ← collect like terms

= - x² + 3x + 7 → D

6 0
3 years ago
PLEASE HELPPP ! YOU GET BRAINLIEST IF CORRECT!!! ​
dedylja [7]

Answer:

A. 78,5 in

Step-by-step explanation:

Formula for circumference of the circle is π × diameter.

<h2>:- Question</h2>

Find the circumeference of the circle!

<h2>:- Solution</h2>

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_______________________

8 0
2 years ago
Does anyone know this? if you get it correct I will give you brainiest. please answer the second question
ElenaW [278]
.00000003631 or 3631 to the -7
3 0
3 years ago
Which method represents a correct way to solve the inequality 4-2x&lt;6
aivan3 [116]
First subtract 4 from btoh sides of the equation
4 - 4 - 2x  < 6-4
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Now divide both sides by -2
x > -1

NOTE: when dividing by a negative as above the inequality sign is flipped. 
4 0
3 years ago
Given g(x)=-x-2, Find g(1).
lawyer [7]
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i’m pretty sure that’s the answer
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