Answer:
(E) 27
Step-by-step explanation:
Let the 5 digit palindrome be PQRQP
Since each digit is chosen from 1,2,3 therefore
P can either be 1,2 or 3 which gives us 3 options.
Q can also either be 1,2 or 3 which gives us 3 options
R can either be 1,2 or 3 which also gives us 3 options
So we have 3^3 = 3*3*3
= 27
This means 27 palindromes are possible if they are formed using one or more of the digits, 1, 2, 3.
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Answer:
No solutions: 3x + 1 = 3x + b, where b ≠ 1
Infinite solutions: 2x - 4 = 2x - 4
Step-by-step explanation:
For an equation to have <em>no </em>solutions, it has to reduce to an equation that's never true. For our given equation, this means we'll need to fill in the blank with some value other than 1. If we pick 2, for instance, we'll get the equation 3x + 1 = 3x + 2, which reduces to 1 = 2, a false statement. No value of x will make the equation true.
To have <em>infinite </em>solutions, on the other hand, we need an equation that is <em>always</em> true. Filling in the blank with 4 here will give us one: 2x - 4 = 2x - 4 reduces to -4 = -4, a statement that is always true.
Answer:
B. y= 3x -14
Step-by-step explanation:
To find the equation of a line that is parallel to the line y = 3x - 4 and passe
through the point (4,-2), we will follow the steps below;
Equation of a line is y=mx + c
where m is the slope and c is the intercept
To find the slope of the new equation, we will compare y =mx + c and y=3x - 4
The slope of the equation y = 3x-4 is 3
line that are parallel have the same slope, so the slope of the new equation is also m = 3
To find the intercept, we will substitute x=4, y = -2 and m =4 into the formula y =mx + c then solve for c
That is;
y = mx + c
-2 = 3(4) + c
-2 = 12 + c
subtract 12 from both-side of the equation
-2-12 = 12-12 + c
-14 = c
c= -14
we can now substitute m and c into the formula to form the new equation
y = mx + c
y = 3x -14
I believe the answer would be (5x^2+8x+11)(x-1)/(x)
