Answer:
slope = -4
Step-by-step explanation:
Given the following points on the graph: (-1, 4) (1, -4)
Let (x1, y1) = (-1, 4)
(x2, y2) = (1, -4)
Use the following slope formula:


Therefore, the slope of the line is -4
Answer:
2, 5, 9, 19
Step-by-step explanation:
Using the recursive formula f(n) = 2f(n - 2) + f(n - 1)
with f(1) = 2 and f(2) = 5
f(3) = 2f(3 - 2) + f(3 - 1)
= 2f(1) + f(2) = (2 × 2) + 5 = 4 + 5 = 9
f(4) = 2f(4 - 2) + f(4 - 1)
= 2f(2) + f(3) = (2 × 5) + 9 = 10 + 9 = 19
Answer:
( z - 5 ) ( z - 5 )
Step-by-step explanation:
z² − 10z + 25
= z² − 5z - 5z + 25
= z ( z - 5 ) - 5 ( z - 5 )
= ( z - 5 ) ( z - 5 )
Answer:
<em>In 5 years the product of their ages will be 208</em>
Step-by-step explanation:
The age of two children is 11 and 8 years.
Let's call x the number of years ahead.
We need to find when the product of their future ages is 208. The 11 years old child will be 11+x years old and the other child will be 8+x years, thus:
(11+x)(8+x)=208
Operating:

Simplifying:

Factoring:
(x-5)(x+24)=0
Solving:
x=5, x=-24
The negative solution is not valid, thus x=5
In 5 years the product of their ages will be 208
Answer:
the number of irrational numbers between 2 and 3 are √5, √6, √7, and √8,
Step-by-step explanation:
these are not perfect squares and cannot be simplified further.
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