Answer:
Vertex of g(x) = ( -4 , 4)
Range of g(x) is
Step-by-step explanation:
For the Vertex of g(x),
Vertex of the graph is also called the turning point of the graph, as we see the graph of g(x) we can see that the axis of symmetry is at x = -4 meaning that left side of the graph on x = -4 is a mirror reflection on the right side of the graph.
So the x-coordinate of the vertex is -4
Now for the y-coordinate,
y-coordinate of the vertex is where the axis of symmetry occurs so the axis of symmetry is at x = -4 if we trace where x = -4 leads us we can see that it leads to y = 4 so the vertex of g(x) is ( -4 , 4)
Now for the Range of g(x),
The range is the set of possible output values, which are shown on the y-axis. Here we can see that the maximum value of g(x) on the y-axis is 4 then the values on the y-axis decrease
For example
Maximum value is 4 then decreases from there like 4 , 3 , 2 , 1 , 0 , -1 , -2 .... and so on if we see the graph . So the max value is 4 so the range becomes ,
because the maximum value is 4 and then decreases so that is why we add the less than equal to sign.
Answer:
Step-by-step explanation:
Given that Mike and Lisa are brother and sister. Mike has as many brothers as sisters, and Lisa has three times as many brothers as sisters
i.e. If Mike has x sisters, then he has x brothers.
i.e. no of sons in total = x+1 (including Mike)
No of daughters = x
Lisa's brothers = x+1 and and Lisa sisters = x-1 (exclusing Lisa)
Given that
Hence we find that there are 3 sons and two daughters in the family.
Answer:
The ratio of the radius of the smaller watch face to the radius of the larger watch face is 4:5.
Step-by-step explanation:
Let the Area of smaller watch face be
Also Let the Area of Larger watch face be
Also Let the radius of smaller watch face be
Also Let the radius of Larger watch face be
Now given:
We need to find the ratio of the radius of the smaller watch face to the radius of the larger watch face.
Solution:
Since the watch face is in circular form.
Then we can say that;
Area of the circle is equal 'π' times square of the radius 'r'.
framing in equation form we get;
So we get;
Substituting the value we get;
Now 'π' from numerator and denominator gets cancelled.
Now Taking square roots on both side we get;
Hence the ratio of the radius of the smaller watch face to the radius of the larger watch face is 4:5.