With
explanation; i gotcha
<span>-4(x-2)-5(y+2)+(-3)(8-6b)
= -4x + 8 - 5y - 10 - 24 + 18b
= -4x -5y + 18b - 26
hope it helps</span>
Answer:
104 mins, 468 mins
Step-by-step explanation:
Let the time spent on puppy videos = 2x
Where x is the number of weekends.
Time spent on regular TV = 9x.
So total time spent is 572 mins
i.e 2x + 9x = 572
i.e 11x = 572
So x = 52.
So time spent on puppy videos = 2 X 52
= 104 mins
So time spent on puppy videos = 9 X 52
= 468 mins.
<h3>Answer: Choice C</h3>
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Explanation:
The x coordinate of the preimage point Q is x = 6.
The x coordinate of the image point Q' is x = 21.
The ratio of image over preimage is 21/6 = (3*7)/(3*2) = 7/2
You'll get this same value if you do the same steps with the y coordinates.
Therefore, the scale factor is 7/2 and the dilation rule is 
Note: 7/2 = 3.5
Answer
The vertex is at point (-3, -1)
The axis of symmetry is x = -3
Explanation
We are asked to find the vertex and axis of symmetry of the equation given.
f(x) = x² + 6x + 8
The vertex of a quadratic equation is the point where the graph of the quadratic equation changes from sloping negatively to sloping positively and vice-versa.
The axis of symmetry represents the straight line that divides the graph of the quadratic equation into two mirror parts that are similar to and are mirror images of each other. This axis of symmetry usually passes through the vertex.
To find the vertex, it is usually at the turning point where the first derivative of the quadratic equation is equal to 0.
(df/dx) = 0
f(x) = x² + 6x + 8
(df/dx) = 2x + 6
At the vertex
(df/dx) = 2x + 6 = 0
2x = -6
Divide both sides by 2
(2x/2) = (-6/2)
x = -3
We then insert this into the equation to get the corresponding f(x) value.
f(x) = x² + 6x + 8
f(-3) = (-3)² + 6(-3) + 8
= 9 - 18 + 8
= -1
Hence, the vertex is at point (-3, -1)
And since the axis of symmetry has to pass through the vertex,
The axis of symmetry is x = -3
Hope this Helps!!!
