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3 years ago

What is the axis of symmetry of the function f(x)=−(x+9)(x−21)?

Mathematics

2 answers:

Elena L [17]3 years ago

7 0

Answer:

Therefore the given equation is a parabolic equation with vertex at (6,255) and the axis of symmetry is given by x = 6.

Step-by-step explanation:

i) f(x) = -(x+9)(x-21)

ii) therefore y = f(x) = - $x^{2}$ + 12x + 189 = - ( $x^{2}$ - 12x +36) + 36 + 189

iii) therefore y = f(x) = - $(x-6)^{2}$ + 225

iv) when x = 6 then y = 255

Therefore the given equation is a parabolic equation with vertex at (6,255) and the axis of symmetry is given by x = 6.

Irina18 [472]3 years ago

4 0

Answer:

Step-by-step explanation:

lol just took the quiz x=6

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In a pacemaker factory, all pacemakers must go through a rigorous quality assurance check before being shipped. The table shows

Len [333]

Answer:

16.1%

Step-by-step explanation:

5 0

3 years ago

A model rocket is launched from a roof into a large field. The path of the rocket can be modeled by the equation

Alexxx [7]

Ok

y=-0.04x^2+8.3x+4.3
when the rocket reaches the ground (when height=0, ie when y=0), then the rocket will land, find the x coordinate

set y=0
0=-0.04x^2+8.3x+4.3
use quadratic formula
if you have ax^2+bx+c=0, then
x= $\frac{-b+/- \sqrt{b^{2}-4ac} }{2a}$
a=-0.04
b=8.3
c=4.3
x= $\frac{-8.3+/- \sqrt{8.3^{2}-4(-0.04)(8.3)} }{2(-0.04)}$
x=208.017 or -0.516785
xrepresents horizontal distance
you cannot have a negative horizontal distance unless you fired and theh wind blew it backwards
therefor x=280.017 is the answer
208.02 m

7 0

4 years ago

a milk tank at a a dairy farm has the form of a rectangular prism. The tank is 3.5 feet wide. The width of the tank is 5/7 of it

AURORKA [14]

Answer:

17.5 cubic feet

1163.75 pounds

Step-by-step explanation:

Givens

L = 3.5 Given

W = 5/7 * 3.5 Divide by 7

W = 5 * 0.5 Combine

W = 2.5

H = 4/5 * w

H = 4/5 * 2.5

H = 4 * 0.5

H = 2

Volume

V = L * w * h

V = 3.5 * 2.5 * 2

V = 17.5

Weight

1 Cubic foot Milk = 66.5 pounds

17.5 cubic feet milk = x

1 / 17.5 = 66.5/ x

x = 17.5 * 66.5

x = 1164.75

7 0

3 years ago

Difference between mafic intermediate and felsic magmas

Inga [223]

Both are indicators of the chemical composition of silicate minerals, magmas and rocks.

Mafic is used for silicate minerals, magmas and rocks that are composed of heavier elements, like magnesium, iron, calcium and sodium. They are dark and have high specific gravities.

<span>Opposite to the this, felsic silicate minerals, magmas and rocks in their composition have less from these heavy elements. They are composed from silicon, oxygen, aluminium and potassium, are light in color and have lower specific gravities.</span>

8 0

4 years ago

If a cylinder with height 9 inches and radius rr is filled with water, it can fill a certain pitcher. How many of these pitchers

katrin2010 [14]

Answer:

9 pitchers

Step-by-step explanation:

Given

Cylinder 1:

$Radius = r$