Answer:
(2, - 3 )
Step-by-step explanation:
Given the 2 equations
y = - 3x + 3 → (2)
y = - 9x + 15 → (2)
Substitute y = - 3x + 3 into (2)
- 3x + 3 = - 9x + 15 ( add 9x to both sides )
6x + 3 = 15 ( subtract 3 from both sides )
6x = 12 ( divide both sides by 6 )
x = 2
Substitute x = 2 into either of the 2 equations and solve for y
Substituting into (1)
y = - 3(2) + 3 = - 6 + 3 = - 3
solution is (2, - 3 )
Answer:
6.85565
Step-by-step explanation:
ANSWER
![{(y + 2)}^{2} = 8(x - 4)](https://tex.z-dn.net/?f=%7B%28y%20%20%2B%202%29%7D%5E%7B2%7D%20%20%3D%208%28x%20-%204%29)
EXPLANATION
The given parabola has equation of the form
![{(y - k)}^{2} = 4p(x - h)](https://tex.z-dn.net/?f=%20%7B%28y%20-%20k%29%7D%5E%7B2%7D%20%20%3D%204p%28x%20-%20h%29)
where (h,k) is the vertex of the parabola.
The vertex of the given parabola is (4,-2).
and p is the distance between the foci and the vertex.
![|p| = 2](https://tex.z-dn.net/?f=%20%7Cp%7C%20%20%3D%202)
The parabola opens towards the positive x-axis, therefore p=2.
Hence the equation of the parabola is
![{(y + 2)}^{2} = 4 \times 2(x - 4)](https://tex.z-dn.net/?f=%20%7B%28y%20%20%2B%202%29%7D%5E%7B2%7D%20%20%3D%204%20%5Ctimes%202%28x%20-%204%29)
![{(y + 2)}^{2} = 8(x - 4)](https://tex.z-dn.net/?f=%7B%28y%20%20%2B%202%29%7D%5E%7B2%7D%20%20%3D%208%28x%20-%204%29)
Answer:
m = (c-2)/(a+b)
Step-by-step explanation:
am+ bm= c-2
Factor out m
m( a+b) = c-2
Divide each side by (a+b)
m( a+b) /(a+b)= (c-2)/(a+b)
m = (c-2)/(a+b)
Hence the value of the expression above are as listed below
<em>f(6+4) = 25</em>
<em>f(6)+f(4) = 20</em>
<em>f(6-4) = 1</em>
<em>f(6)-f(4) = 6</em>
<em>f(6*4) = 67</em>
<em>f(6)*f(4) = 91</em>
<h3>Functions and values</h3>
Given the expression below f(x) = 3x - 5
f(6+4) = f(10) =3(10) - 5
f(6+4) = 25
f(6) = 3(6) - 5
f(6) = 18 - 5 = 13
f(4) = 3(4) - 5
f(4) = 7
f(6)+f(4) = 13+7
f(6)+f(4) = 20
f(6-4) = f(2) =3(2) - 5
f(6-4) = 1
f(6) = 3(6) - 5
f(6) = 18 - 5 = 13
f(4) = 3(4) - 5
f(4) = 7
f(6)-f(4) = 13-7
f(6)-f(4) = 6
f(6*4) = f(24) =3(24) - 5
f(6*4) = 67
f(6) = 3(6) - 5
f(6) = 18 - 5 = 13
f(4) = 3(4) - 5
f(4) = 7
f(6)*f(4) = 13*7
f(6)*f(4) = 91
Learn more on function and values here: brainly.com/question/2284360
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