Let f(x)=x2−6x−27 . enter the x-intercepts of the quadratic function in the boxes. x = and x =

x = 9

x = - 3

Step-by-step explanation:

This factors.

The best way to do this is to start by seeing what answers are possible. Start with 27. What 2 numbers multiply to 27. There aren't many.

27: 1 * 27

27: 3*9                

Now you need the two numbers to add to -6. That means the larger one should be -

The answer is 3 and 9

So the factors are

(x - 9)(x + 3)

x - 9 = 0

x = 9

x + 3 = 0

x = - 3

The intercepts are the points (9,0) and (-3,0)

x = 9

x = - 3

the system of inequity is

step-by-step explanation:

from the given graph it is noticed that we have two related lines. one is solid and another is dashed.

if a line passing through two points, then the equation of line is

the solid line passing through the points (0,4) and (4,0).

the related equation of solid line is .

similarly, find the related equation of dashed line. the dashed liune passing through the points (0,0) and (3,1).

the related equation of dashed line is

from the given graph it is noticed that the point (0,1) lies on the shaded region, therefore the point (0,1) must be satisfied by the related equations.

check the related equations by the point (0,1).

this statement is true if the sign of inequality is < instead of equality. since it is an solid line therefore the sign of inequality will be . the required inequality is

similarly, check the second related equation.

it is a dashed line, so this statement is true if the sign of inequality is > . the required inequality is

so a parallelogram is just like a square base times height. multiply 40 and 39 to get 1560 inches.

a triangle is base times height divided by two. so multiply 7.9 and 5 and then divide it by 2 to get 19.75inches.

the kite can be split into two separate triangles and added together to get the total area. 30 x 4 /2 which equals 60. make sure to double it for the two triangles making 120.