I need help with this math question

Nathan has a sculpture in the shape of a pyramid. The height of the sculpture is 3 centimeters less than the side length, x, of

uysha [10]

Let
x-----------> the side length of a pyramid square base
h-----------> the height of the sculpture in the shape of a pyramid

we know that
h=(x-3)
Volume=162 cm³
Volume=x² *(x-3)/3
then
x² *(x-3)/3=162----------> x³-3x²=486----------> x³-3x²-486=0
x³-3x²-486=0-------- this equation can be used to find the length of the sculpture’s base

using a graph tool-----------> to find the solution
x=9 cm -------------> see the attached figure
h=(x-3)-----> h=9-3--------> h=6 cm

the answer is
the length of the sculpture’s base is 9 cm
the height of the sculpture is 6 cm

8 0

3 years ago

Help 6th grade math please help i will give brainliest

lilavasa [31]

Answer:

multiply 12 times 9

Step-by-step explanation:

I'm pretty sure this is right, I'm sorry if it's wrong

3 0

3 years ago

Find (f-g)(x) if f(x)=3x-5 and g(x)=x2-5x+4

solmaris [256]

Answer:

Step-by-step explanation:

Hello,

$(f-g)(x)=f(x)-g(x)=3x-5-(x^2-5x+4)\\\\=3x-5-x^2+5x-4\\\\=-x^2+8x-9$

Thanks

4 0

3 years ago

Find the root(s) of f (x) = (x + 5)3(x - 9)2(x + 1). -5 with multiplicity 3 5 with multiplicity 3 -9

faust18 [17]

Answer:

-5, multiplicity 3; +9, multiplicity 2; -1

Step-by-step explanation:

The roots of f(x) are those values of x that make the factors be zero. For a factor of x-a, the root is x=a, because a-a=0. If the factor appears n times, then the root has multiplicity n.

f(x) = (x+5)^3(x-9)^2(x+1) has roots ...