Answer:
1) Yes
2) No
3) Yes
4) Yes
Step-by-step explanation:
Remember the rule: the sum of the two shortest sides must be bigger than the longest side. From there, the answers should be obvious. Just add up the smallest sides for each triplet of lengths and see if that is bigger than the largest side.
7 + 14 > 18, therefore this can be a triangle
3 + 8 < 17, therefore this can't be a triangle
3.2 + 9.0 > 11.5, therefore this can be a triangle
6 + 7 > 8, therefore this can be a triangle
The value of (f-g)(144) is 0
Step-by-step explanation:
We are given:

We need to find value of (f-g)(144)
We will put x=144 for both f(x) and g(x)

So, the value of (f-g)(144) is 0
Keywords: Composite Functions
Learn more about Composite Functions at:
#learnwithBrainly
Answer:
-30
Step-by-step explanation:
In g(8) the 8 = n. So, substitute 8 in for n in the expression -4n + 2
g(8) = -4(8) + 2 = -32 + 2 = -30
Answer:
The answer is Tonya's phone had the greater initial trade-in value.
Leo's phone decreases at an average rate slower than the trade in value of Tonya's phone.
Step-by-step explanation:
Given
Tonya

Leo




Solving (a): The phone with greater initial value
The initial value is when x = 0. So, we have:




From Leo's table

By comparison;

i.e.

<em>So: Tonya's had the greater initial trade-in value</em>
Solving (b): The phone with lesser rate
An exponential function is:

Where:

For Tonya

For Leo, we have:


So, the equation becomes:

and 
Solving
, we have:



becomes

Divide both sides by 480

Take square roots

-- Leo's rate
By comparison; Leo's rate is slower i.e. 0.87 < 0.88