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snow_lady [41]
3 years ago
13

I need help on this question

Mathematics
1 answer:
Alex_Xolod [135]3 years ago
8 0
Angle 4 I think :] :/
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Solve the following system of equations by substitution. Show all steps.
Alinara [238K]

Answer:

Given system of equations:

\begin{cases}f(x)=-x^2+2x+3\\g(x)=-2x+3\end{cases}

To solve by substitution, equate the equations and solve for x:

\begin{aligned}f(x) & = g(x)\\\implies -x^2+2x+3 & = -2x+3\\-x^2+4x & = 0\\x^2-4x & = 0\\x(x-4) & = 0\\\implies x & = 0\\\implies x-4 & = 0 \implies x=4\end{aligned}

Therefore, the x-values of the solution are x = 0 and x = 4.

To find the y-values of the solution, substitute the found values of x into the functions:

f(0)=-(0)^2+2(0)+3=3

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

f(4)=-(4)^2+2(4)+3=-5

g(4)=-2(4)+3=-5

Therefore, the solutions to the given system of equations are:

(0, 3) and (4, -5)

4 0
2 years ago
Find the value of this expression if x= -6 and y=1. xy^2/-7
Ahat [919]
(-6)(1)∧⁽2/-7⁾= -6 is the answer
Hope it's right
8 0
3 years ago
Read 2 more answers
The function f(x) = x^2 - 2x + 8 is transformed such that g(x) = f(x-2). Find the vertex of g(x).
Serjik [45]

Answer:

Step-by-step explanation:

Since g(x) is f(x-2), every time there is a "x" in the f(x) equation, substitute "x-2". So g(x) would be (x-2)^2-2(x-2)+8. Use the method of trial and error: substitute x as 1,-1, and 3, until you found the right vertex. The answer is B (3,7).

7 0
3 years ago
-4.25 ⋅ (3/10 + 1/5)
elixir [45]

Answer: -0.85

Step-by-step explanation:

3/10 + 1/5 = 1/2

1/2 x -4.25 = -0.85

3 0
1 year ago
I can't quite remember how to approach this one, I have three others, but I think I could solve them if someone helped walked me
Nimfa-mama [501]
Https://us-static.z-dn.net/files/d8d/e008ced388704d59896d3bf37158f465.jpeg

3 0
3 years ago
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