Which expression is equivalent to 3x + 5y + x - 2y?

1 answer:

8 0

D. 4x +7y

3x+5y+x-2y

x is also another way to say that there is 1x

4x + x (or 1x)= 5x

3y and 7y have the same variable

7y+3y=10y

Hence number D

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The axis of symmetry for a function in the form f(x) = x2 + 4x − 5 is x = −2. What are the coordinates of the vertex of the grap

Studentka2010 [4]

Answer:

D) $(-2,-9)$

Step-by-step explanation:

Vertex Form of a Vertical Parabola:

$y=a(x-h)^2+k$

Vertex -> $(h,k)$

Axis of Symmetry -> $x=h$

Vertical Scale Factor -> $a$

To turn $f(x)=x^2+4x-5$ into vertex form, we need to complete the square on the right side
Therefore, if $f(x)=0$ , then $0+9=x^2+4x-5+9$ completes the square on the right side
This becomes $9=(x+2)^2$
This means that our function in vertex form is $f(x)=(x+2)^2-9$

Therefore, the vertex of the graph is $(h,k)=(-2,-9)$ .

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It would be: 420 + (420 * 17.5%)
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Hope this helps!

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