Answer:
a) The missing terms are 9, 13, 21 and 25.
b) If we know that
and
, then the n-th term of the sequence is represented by
.
Step-by-step explanation:
a) Given that elements of the sequence are found by increasing by the same amount, we infer that elements are part of an arithmetical progression. The rate of progression is now determined:



The missing terms are:








The missing terms are 9, 13, 21 and 25.
b) The formula for the arithmetical progression is represented by the following formula:
(1)
Where:
- First element of the sequence.
- Indicator associated with the element of the sequence.
- Progression rate.
If we know that
and
, then the n-th term of the sequence is represented by
.
Answer:
Step-by-step explanation:
To find the slope from two points you can use the following formula:
Now substitute the two sets of points
Substitute the values like this:
and
Now you will need to simplify the following expression:
Make sure that denominators are the same before substracting:
when you divide with a fractional number you only need to flip the second fraction over (find its reciprocal). Then just multiply:
true transformation is a dilation
Answer:The length of each piece of fabric is 1/8 yards.
Step-by-step explanation:
Corey has a piece of fabric that is 1/4 yard long. He cuts the length into 2 equal pieces. This means that he cut 1/4 yards of fabric into two equal pieces.
An expression for the length, in yards, of each piece of fabric will be
Let the length of the fabric be x in yards. Also, let the length of each piece of fabric be y in yards. It becomes
y = x/2
Since x = 1/4
y =( 1/4)/ 2 = 1/4 × 1/2
y = 1/8
The length of each piece of fabric is 1/8 yards.
Answer:
$7.50 per hour
Step-by-step explanation:
15/2=7.5