Answer:
x³+3x²+4x+12
Step-by-step explanation:
you are going to write both equations and distribute. if there are like terms, combine them and then put it order.
(x + 3) × (x² + 4)
x³ + 4x + 3x² + 12
when putting in order, you want the highest power to the left and then the lowest power to the right.
so
x³+3x²+4x+12
Short answer: r = 8
Remark
The easiest way to do this is to solve the sphere's volume in terms of pi. When you do this, you can equate that to the formula for a cylinder and cancel the pi values.
Step One
Find the volume of the sphere.
<em>Givens</em>
r = 6 cm
<em>Formula</em>
V = (4/3) pi r^3
<em>Sub and Solve</em>
V = 4/3 pi * 6^3
V = 288 * pi
Step two
Find the radius of the cylinder
<em>Givens</em>
V = 288* pi cm^3
h = 4.5 cm
<em>Formula</em>
V = pi r^h
<em>Sub and solve</em>
288 pi cm^3 = pi r^2 * 4.5 Divide both sides by pi
288 cm^3 = 4.5 r^2 Divide both sides by 4.5
388 / 4.5 = r^2
64 = r^2 Take the square root of both sides.
r = square root( 64)
r = 8 <<<<< Answer
Let the two numbers be represented by x and y. The problem statement gives rise to two sets of equations.
x - y = 0.6
y/x = 0.6 . . . . . . . assuming x is the larger of the two numbers
or
x/y = 0.6 . . . . . . . assuming y has the larger magnitude
The solution of the first pair of equations is
(x, y) = (1.5, 0.9)
The solution of the first and last equations is
(x, y) = (-0.9, -1.5)
The pairs of numbers could be {0.9, 1.5} or {-1.5, -0.9}.
Answer:
Step-by-step explanation:
Well you can make the put the x with 90x and that will make 91x. Then you can add 91x with 26. 91x+26= 13(7x + 2). Hope that helped
Answer:
x<16
Step-by-step explanation:
number<em> n
</em>
eight less than four times a number ... 4 x <em>n</em> - 8
is less than 56 ... < 56
4 x <em>n</em> - 8 < 56
4 x <em>n</em> < 56 + 8
4 x<em> n</em> < 64/4
<em>
n</em> < 64 / 4
<em>n</em> < 16
