The roots of f(x) are {0, 3, -4}. You've got them as {-3, 4}, which is not correct.
Draw another set of coordinate axes and place dark dots at (0,0), (3,0) and (-4,0). These dots represent the roots (solutions) of the given polynomial.
Note that we have a repeated (double) root at x=3, which is given away by the exponent 2 of (x-3).
A basic way of sketching this graph is described as follows:
Evaluate the function (find y) for several x-values other than (0, 3 and -4):
Choose (for example) {-5, -2, -1, 1, 2, 4}
If you'll find the y-value for each of these x-values and plot the resulting points, you should see the shape of the graph. Draw a rough graph thru these points. If any doubt remains about what the graph looks like at particular x-values, calculate and plot more points, e. g., at {-2.5, -1.5, ...}.
If you're taking calculus, consider applying the First- and Second-Derivative tests to determine concavity, maximum, minimum, etc.
4(8 - x) = 8, 32 - 4x = 8, -4x = -24, So x = 6
Answer:
25% Discount
Step-by-step explanation:
find the percent of discountOriginal price Sale Price
$60
% $45 =
$60 was the SP
$45 is the MP
discount = 60/45 * 100 = 75
100 - 75 = 25%
Answer:
c
Step-by-step explanation:
y =
x + 2 → (1)
2y = 5x + 4 ( divide through by 2 )
y =
x + 2 → (2)
the 2 equations are the same and will have infinitely many solutions
Answer:
Step-by-step explanation:
R(0,0)
A=((0+2a)/2,(0+2b)/2)=(a,b)
S(2a,2b)
B=((2a+2c)/2,(2b+2d)/2)=(a+c,b+d)
T(2c,2d)
C=((2c+2c)/2,(2d+0)/2)=(2c,d)
V(2c,0)
D=((2c+0)/2,(0+0)/2)=(c,0)
R(0,0)
slope of AB=(b+d-b)/(a+c-a)=d/c
slope of DC=(d-0)/(2c-c)=d/c
slope of AD=(0-b)/(c-a)=-b/(c-a)
slope of BC=(d-b-d)/(2c-a-c)=-b/(c-a)