Answer:
-5/4
Step-by-step explanation:
4x-5y=10
-5y=-4x-10
-5y/-5=-4/-5-10/-5
y=4/5+2
perpendicular slope is -5/4
Easy peasy
the average rate of change in section A is the slope from (1,g(1)) to (2,g(2))
the average rate of chagne in section B is the slope from (3,g(3)) to (4,g(4))
A.
section A
g(1)=4(3)^1=12
g(2)=4(3)^2=4(9)=36
slope=(36-12)/(2-1)=24/1=24
section B
g(3)=4(3)^3=4(27)=108
g(4)=4(3)^4=4(81)=324
slope=(324-108)/(4-3)=216/1=216
section A has an average rate of change of 24
section B has an average rate of change of 216
Sarah got £48, Liam got £32, and Emily got £112
<h2>The graph of y = ax^2 + bx + c
</h2><h2>A nonlinear function that can be written on the standard form
</h2><h2>ax2+bx+c,where a≠0
</h2><h2>All quadratic functions has a U-shaped graph called a parabola. The parent quadratic function is
</h2><h2>
y=x2
</h2><h2>
The lowest or the highest point on a parabola is called the vertex. The vertex has the x-coordinate
</h2><h2>x=−b2a
</h2><h2>The y-coordinate of the vertex is the maximum or minimum value of the function.
</h2><h2>a > 0 parabola opens up minimum value
</h2><h2>a < 0 parabola opens down maximum value
</h2><h2>
A rule of thumb reminds us that when we have a positive symbol before x2 we get a happy expression on the graph and a negative symbol renders a sad expression.
</h2><h2>The vertical line that passes through the vertex and divides the parabola in two is called the axis of symmetry. The axis of symmetry has the equation
</h2><h2>x=−b2a
</h2><h2>The y-intercept of the equation is c.
</h2><h2>
When you want to graph a quadratic function you begin by making a table of values for some values of your function and then plot those values in a coordinate plane and draw a smooth curve through the points.</h2>