(x^2 - 3x + 1) - (x^2 + 2x + 7)
Distribute the negative
x^2 - 3x + 1 - x^2 - 2x - 7
Combine like terms
-5x - 6
Answer:
Step-by-step explanation:
Given equation is representing the graph of parabola which opens down and its pick is its vertex
<u>The vertex is calculated by vertex formula:</u>
- x = -b/2a for the equation y = ax² + bx + c
<u>In our case t is the vertex and its value is:</u>
- t = -42/(-1.5*2) = 42/3 = 14 seconds
The formula used to find the length of a line segment is the same formula as the Pythagoras theorem.
We take CD as the hypotenuse of the right-angled triangle and the distance between the x-coordinates and y-coordinates as the length of two short sides.
We can write the formula as
CD =

CD =
<span>The interior and exterior angles add up to 180° (a straight line - eg, a + f = 180°), andThe sum of the exterior angles is 360° (a + b + c + d + e = 360°).</span><span>Question
</span>
Answer:
23 years.
Step-by-step explanation:
It is given that the initial price of painting is $150 and its values increasing by 3% annually.
We need to find how many years will it take until it is doubled in value.
The value of painting after t years is given by
The value of painting after double is 300. Substitute y=300.
Divide both sides by 150.
Taking log both sides.
Therefore, the required number of years is 23.