Show work and explain.

growth or decay?

y-intercept?

domain:

range:

 Decay, y-intercept = 10, D: x is All Real Numbers, R: y > 0

Step-by-step explanation:

y = 10(0.5)ˣ

     ↓

    represents the y-intercept (when x = 0, y = 10(0.5)⁰ = 10)

y = 10(0.5)ˣ

           ↓    

           If >1, represents growth.  If <1, represents decay.

Domain: There are no restrictions on x so x is All Real Numbers (-∞, ∞)

Range: No matter what value x is, y has to be greater than 0 (0, ∞)

We can also show this algebraically:

    y = 10(0.5)ˣ

log y = log 10(0.5)ˣ

     ↓

    y > 0   because you cannot take the log of 0 or a negative value

See graph

Step-by-step explanation:

proofs involving isosceles triangles often require special consideration because an isosceles triangle has several distinct properties that do not apply to normal triangles.(more about triangle types) therefore, when you are trying to prove that two triangles are congruent, and one or both triangles, are isosceles you have a few theorems that you can use to make your life easier.

step-by-step explanation:

an isosceles triangle has two congruent sides and two congruent angles. the congruent angles are called the base angles and the other angle is known as the vertex angle. ∠bac and ∠bca are the base angles of the triangle picture on the left. the vertex angle is ∠abc

well we know there are 4 clubs in 52 cards so it’s replaced so it should be 3/51

step-by-step explanation: