Answer:
<h2>$205</h2>
Step-by-step explanation:
45 - 25 = 20
65 - 45 = 20
as you can see the common difference between the 3 consecutive numbers 25 , 45 and 65 is a constant (20)
so ,we are in an arithmetic sequence case with :
Let’s label the sequence: Un
then
Un = U1 + (n-1)×r
= 25 + (n-1)×20
= 20n + 5
for n = 10 → U10 = 20(10) + 5 = 200 + 5 = 205
Answer:
see explanation
Step-by-step explanation:
(a)
f(0)
Since x = 0 < 5, then
f(0) = x + 4 = 0 + 4 = 4
(b)
f(6)
Since x = 6 meets the condition 5 ≤ x < 7, then
f(6) = 8
Answer:
9+x = 2y+14
Step-by-step explanation:
It says 9 plus a number, so plug in x for 'a number', and it says 'is twice a number plus 14'. Plug in '=' for is another variable for 'a number', and last but not least, just put +14 for plus 14
Answer:
The length is 6 feet and the width is 4 feet
Step-by-step explanation:
Let x represent the length of the yard
The width can be represented by x - 2, since it is 2 less than the length.
Use the perimeter formula, P = 2l + 2w, where l is the length and w is width
Plug in the expressions and perimeter:
20 = 2x + 2(x - 2)
Solve for x:
20 = 2x + 2x - 4
20 = 4x - 4
24 = 4x
6 = x
So, the length is 6. Plug this into x - 2 to find the width
x - 2
6 - 2
= 4
So, the length is 6 feet and the width is 4 feet
