Answer:
A, D
Step-by-step explanation:
When we multiply the fractions, we can get:

This is also equivalent to:

When looking at the answer choices, the only ones that equal
are A and D because:


Original
Z = X/5
Solve for X
Multiply both sides by 5
5Z = X
Answer
X = 5Z
Answer:
(4t − 3) (t − 6)
Step-by-step explanation:
Using AC method:
Given a quadratic ax² + bx + c, find factors of ac that add up to b. Divide those factors by a and reduce. The denominators become the coefficients and the numerators become the constants.
Here, a = 4, b = -27, and c = 18.
ac = 4 × 18 = 72
Factors of 72 that add up to -27: -3 and -24
Divide factors by a: -3/4 and -24/4
Reduce: -3/4 and -6/1
So the factored expression is:
(4t − 3) (t − 6)
Answer:
An inflection point is a point on the graph of a function at which the concavity changes. Points of inflection can occur where the second derivative is zero.
Step-by-step explanation:
Answer:
1149.8 m³
Step-by-step explanation:
The volume (V) of a sphere is calculated as
V =
πr³ ( r is the radius )
Here diameter = 13, thus radius = 13 ÷ 2 = 6.5
V =
× 3.14 × 6.5³
=
× 3.14 × 274.625
=
≈ 1149.8 m³ ( to the nearest tenth )