Answer:
Total seashells = (6g + 10) seashells.
Step-by-step explanation:
Given that Mario collected 3g seashells.
Given that Jasmine collected 10 more seashells that mario. It means she collected (3g+10) seashells.
It says to write the number of seashells they collected together in terms of g.
Total seashells = Mario's seashells + Jasmine's seashells.
Total seashells = 3g + (3g+10).
Total seashells = 6g + 10.
Hence, Total seashells = (6g + 10) seashells.
Answer:

Explanation:
Here, we want to use the factor theorem to check if the given linear expression is a factor of the binomial
Now, according to the factor theorem, a factor of a polynomial would leave no remainder when divided by it
Mathematically, it means when we substitute the factor value into the polynomial, it is expected that the remainder is zero is the substituted is a factor of the polynomial
We set x-2 to zero:

Now, we substitute 2 into the polynomial as follows:

There is a remainder of -28 and thus, the linear factor is not a factor of the binomial
Answer:
1/4
Step-by-step explanation:
3/12 = 1/4
(We got 12 by adding all the numbers together.)
Explanation
Problem #2
We must find the solution to the following system of inequalities:

(1) We solve for y the first inequality:

Now, we multiply both sides of the inequality by (-1), this changes the signs on both sides and inverts the inequality symbol:

The solution to this inequality is the set of all the points (x, y) over the line:

This line has:
• slope m = 3/2,
,
• y-intercept b = -2.
(2) We solve for y the second inequality:

The solution to this inequality is the set of all the points (x, y) below the line:

This line has:
• slope m = -1/3,
,
• y-intercept b = 2.
(3) Plotting the lines of points (1) and (2), and painting the region:
• over the line from point (1),
,
• and below the line from point (2),
we get the following graph:
Answer
The points that satisfy both inequalities are given by the intersection of the blue and red regions:
The correct answer is 1/3