Answer: 3/8 yard
Step-by-step explanation:
Since the beetle crawled 1/2 of a yard and the spider crawled 1/8 of a yard. To calculate how much farther the beetle crawl than the spider, we will have to subtract 1/8 from 1/2. This will be:
= 1/2 - 1/8
= 4/8 - 1/8
= 3/8 yard
Therefore, the beetle covered 3/8 yard more.
Answer:
See diagram below. This is a relation and not a function.
Step-by-step explanation:
An arrow diagram has two ovals - one for x -values and one for y-values. Inside the ovals, all values ONLY appear ONCE and generally from least to greatest. Then draw an arrow from each value to its matching value from input to output according to the table.
Be sure to draw two ovals around the lists below:
Inputs Outputs
1 ----------------> 2
11 -----------------> (POINTS DIAGONAL TO 2)
15 -----------------> 12
16 ------------------> 32
This is not a function because each output must only match to one input. The output 2 matches to both 1 and 11. This is a relation.
Answer:
The answer to your question is f(x) = x + 4
Step-by-step explanation:
Data
A (-3, 1)
B (-2, 2)
C (-1, 3)
D (0, 4)
Process
1.- Find the slope
m = (y2 - y1) / (x2 - x1)
- Substitution
m = (2 - 1) / (-2 + 3)
Simplification
m = 1/1
Result
m = 1
2.- Find the equation of the line
y - y1 = m(x - x1)
Use point A (-3 , 1)
y - 1 = 1(x + 3)
Simplification
y - 1 = x + 3
Result
y =x + 3 + 1
y = x + 4
y = f(x) = x + 4
To create a perfect square trinomial, halve the x coefficient, square it, and then add that value.
In the case of x² + 6x, we would have 6 to get 3, then square 3 to get 9.
We would add 9 to make a perfect square trinomial.
<u>
</u><u>Why this works</u>
A perfect square trinomial is designed to factor to some value (x+n)².
When you FOIL this you get x² + 2nx + n².
As you can see, if you wanted to find the value of that n², you could take that x coefficient 2n, halve it to get n, and then square it to get n²!