Answer:
-30x^3+5x^2
Step-by-step explanation:
Answer:
729
Step-by-step explanation:
3 to the power of 2 means 3 * 3 which is 9. 3 to the power of 4 means 3 * 3 * 3 * 3 which is 81. Finally, 9 * 81 which gives you 729.
Answer:
f[g(x)]= 7x + 27
Step-by-step explanation:
g(x) = x + 2,
f(x) = 7x + 13,
f[g(x)] means you substitute the value of g(x) into the variable of f(x);
Which is 7( x+2) + 13 = 7x +14 +13
= 7x + 27
First, you'll want to identify the given in the problem.
It costs 100 dollars to purchase all of the shirts and 10 dollars to print the designs on the shirts. The result being a 110 dolar investment prior to his sales. In addition, each shirt is sold for 4 dollars and this becomes the slope of the equation.
Using this info the following equation can be used to find Eric's profit:
P=4x-110
With 4 being the slope.
Overall, after selling the 20 shirts by plugging 20 in for x we get 80-110. So his profit is -30 dollars.
Hope this helps :)
Answer:
a) Upwards
b) x = -1
c) (-1,-9)
d) x intercepts; (2,0) and (-4,0)
y intercept is (0,-8)
Step-by-step explanation:
a) As we can see, the parabola faces upwards
b) To find the axis of symmetry equation, we look at the plot of the graph and see the point through the vertex of the parabola that exactly divides the parabola into two equal parts
The x-value that the line passes through here is the point x = -1 and that is the equation of the axis of symmetry
c) The vertex represents the lowest point of the circle here,
As we can see, this is the point through which the axis of symmetry passes through to make a symmetrical division of the parabola
We have the coordinates of this point as
(-1,-9)
d) The intercepts
The x-intercept are the two points in which the parabola crosses the x-axis
We have this point as 2 and -4
The x-intercepts are at the points (2,0) and (-4,0)
For the y-intercept; it is the y-coordinate of the point at which the parabola crosses the y-axis and this is the point (0,-8)
