Answer:
Step-by-step explanation:
we know that
The equation of a exponential growth function is given by
where
y is the value of the home
x is the number of years
a is the initial value
r is the rate of change
we have
substitute
The general vertex form of the a quadratic function is y = (x - h)^2 + k.
In this form, the vertex is (h,k) and the axis of symmetry is x = h.
Then, you only need to compare the vertex form of g(x) with the general vertex form of the parabole to conclude the vertex point and the axis of symmetry.
g(x) = 5(x-1)^2 - 5 => h = 1 and k = - 5 => theis vertex = (1, -5), and the axis of symmetry is the straight line x = 1.
<span>Answer: the vertex is (1,-5) and the symmetry axis is x = 1.</span>
Answer:
$(55-3m) is the amount of money she has left
Step-by-step explanation:
In this question, we are asked to give an expression to represent how much money was left after Sarah had bought some certain stuffs at some prices using the money she received at her birthday.
Firstly, we identify that the total amount of money she has to spend is $55.
Now let’s project her total spendings. She bought 3 shirts with each shirt costing $m.
The total amount spent on the shirts is thus; 3 * $m = $3m
The amount of money she has left is the difference.
Mathematically, this is equal to $55 - $3m
Answer:
D
Step-by-step explanation:
In order to find the midpoint of a line segment on a graph, you must add both "x" coordinates, then divide by 2.
Then, add both "y" coordinates, and divide by 2.
Answer:
Angle OAB = 90°
Reason: tangent theorem of a circle
Step-by-step explanation:
The diagram given shows a tangent line of the given circle with center O. The tangent touches the circle at point A.
The diagram also shows the radius of the circle, OA, drawn from the center to the circle to meet at the point of tangency.
Thus, according to the Tangent Theorem of a circle, the point at which the radius drawn from the center meets the point of tangency = 90°. The tangent is perdendicular to the radius drawn to meet at the point of tangency.
Therefore, angle OAB = 90°
