Idon’t know how to solve this for questions #3 and #5?

Step-by-step explanation:

3) h(x) = -4x^2 + 24x -41

a)

a = -4, b = 24, and c = -41

Vertex formula: x= –b/2a

x = -24 /2(-4)

x = -24/-8

x = 3

Plug in x = 3 to find y:

= -4(3^2) + 24(3) - 41

= -4(9) + 72 - 41

= -36 + 72 - 41

= -5

Vertex (3, -5)

b) The axis of symmetry

The x-coordinate of the vertex is the axis of symmetry of the parabola

x = 3

Step-by-step explanation:

#3

Let's rewrite the equation in vertex form.

h(x) = -4x^2 + 24x - 41

h(x) = -4(x^2 - 6x) - 41

h(x) = -4(x^2 - 6x + 9) - 41 + 36

h(x) = -4(x - 3)^2 - 5

The vertex form is

f(x) = a(x - h)^2 + h

where point (h, k) is the vertex.

We see that h = 2, and k = -5.

The vertex is (3, -5).

The axis of symmetry is x = h.

The axis of symmetry is x = 3.

#5

The remainder theorem states that the remainder of synthetic division of the polynomial by x - c is the same as the value of the function evaluated at c. Here, c = 5, so we do the synthetic division using 5.

  5|       1   9   15       -15         20

           5   70    425    2050

            1    14  85    410     2070

The remainder is 2070. That means that

f(5) = 2070

If k is a zero of function f, then f(k) = 0. Here, f(5) is not zero, so 5 is not a zero of the function.

answer

a,b, and d

explanation

a reflection angle is more than

but less than;

an angle that measures

is a reflex angle.(true)

an angle that measures less than

is acute.(true)

provided we are considering angles greater or equal to zero.

an acute angle lies in the range.

an obtuse angle is less than 180° but more than 90°

an angle that measures 300° is obtuse (false)

an angle that measures 65° is an acute angle.(true)

step-by-step explanation:

it will be a cylinder. with a diameter of 8 and 4 single pieces high