Answer:

Step-by-step explanation:
6 + 12 + 24 + 48 + 96 =
= 6 + 6 * 2 + 6 * 4 + 6 * 8 + 6 * 16
= 6 + 6 * 2^2 + 6 * 2^2 + 6 * 2^3 + 6 * 2 * 4
= 6 * 2^(n - 1)

Problem 13
10p+10q factors to 10(p+q). If we apply the distributive property, we can distribute the 10 to each term inside (p and q) to get
10(p+q) = (10 times p)+(10 times q) = 10*p + 10*q = 10p+10q
so we get the original expression again. Here 10 is the GCF of the two terms.
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Plug p = 1 and q = 2 into the factored form
10*(p+q) = 10*(1+2) = 10*(3) = 30
As a check, let's plug those p,q values into the original expression
10*p+10*q = 10*1+10*2 = 10+20 = 30
We get the same output of 30
Hello there!
Here's what definitions I think match up with each term:
Equilateral triangle: a triangle with three congruent sides
Composite figure: a figure made up of two or more three dimensional figures
Parallelogram: a quadrilateral with opposite sides both parallel and congruent
Volume: the amount of space within a three dimensional figure
Rectangular prism: a three dimensional figure with six rectangular faces, twelve edges, and eight vertices
Regular polygon: a polygon with 5 sides
Triangular prism: a prism with two congruent triangular based
Obtuse triangle: a triangle with one obtuse angle
Face: a flat surface of a three dimensional figure
Polygon: a polygon with congruent sides/congruent angles
Square: a closed figure made up of line segments that do not cross each other
Hope this helped you out! :-)
Answer:
Step-by-step explanation:
A.f(x) =(x-1)^2 is even because of that even exponent, 2.
b. F(x)=8x is odd because x has the exponent 1.
c.f(x) =x^2-x is neither even nor odd
d.f(x)=7 is even because the exponent is even: 7^0