1st number: 0
2nd number: 17
Answer
Step-by-step explanation:
3x+2y=34 x is the first number, y is the second.
1/2x+2y=34 multiply each number by two to get rid of the integer by the variable x.
x+4y=68 solve for x.
x=68-4y add this into the first equation to solve for variable y.
3(68-4y)+2y=34 solve for y.
204-10y=34
-10y= -170
y=17
now to solve for x
x= 68-4(17)
x= 0
Question:
Consider the sequence of numbers:
Which statement is a description of the sequence?
(A) The sequence is recursive, where each term is 1/4 greater than its preceding term.
(B) The sequence is recursive and can be represented by the function
f(n + 1) = f(n) + 3/8 .
(C) The sequence is arithmetic, where each pair of terms has a constant difference of 3/4 .
(D) The sequence is arithmetic and can be represented by the function
f(n + 1) = f(n)3/8.
Answer:
Option B:
The sequence is recursive and can be represented by the function
Explanation:
A sequence of numbers are
Let us first change mixed fraction into improper fraction.
To find the pattern of the sequence.
To find the common difference between the sequence of numbers.
Therefore, the common difference of the sequence is 3.
That means each term is obtained by adding to the previous term.
Hence, the sequence is recursive and can be represented by the function
Numerator 6x - 18 = 6(x - 3)
Denominator x^2 - 5x + 6 = (x - 3)( x - 2)
The pot can hold 5.23 quarts
Step-by-step explanation:
- Step 1: Find the volume of the right cylinder shaped pot.
Diameter of the pot = 8 in
⇒ Radius = 4 in
Height = 6 in
⇒ Volume of the pot = πr²h = 3.14 × 4² × 6
= 301.44 in³
- Step 2: Convert inches to quarts.
1 in³ = 0.017316 liquid quarts
⇒ 301.44 in³ = 301.44 × 0.017316 = 5.23 quarts
Answer:
the greatest common factor of this is 3