The total area of the the picture and frame is given by the equation A = (16 + 2x)(24 + 2x) = 384 + 32x + 48x + 4x^2 = 4x^2 + 80x^2 + 384
The slope of the given linear equation is 1/3 and the y-intercept will be 5/6. Then the correct option is D.
<h3>What is the slope?</h3>
The slope is the ratio of rising or falling and running. The difference between the ordinate is called rise or fall and the difference between the abscissa is called run.
Identify the slope and y-intercept of the line whose equation is given. Write the y-intercept as an ordered pair.
The linear equation is given below.

Then the slope of the equation will be 1/3.
And the y-intercept will be 5/6.
More about the slope link is given below.
brainly.com/question/3605446
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<em>*To solve inequalities is similar to solving equations: isolate the desired variable to one side.</em>
So firstly, distribute -8 to (p + 1):

Next, combine like terms:

Next, add 8 to both sides:

Lastly, divide both sides by -3. Now since you are dividing by a <u>negative</u>, you will be flipping the inequality symbol as well.<u> Your final answer will be
</u>
Answer: Our required probability would be 0.70.
Step-by-step explanation:
Since we have given that
Number of players = 14
Number of players have recently taken a performance enhancing drug = 3
Number of players have not recently taken a performance enhancing drug = 14-3=11
Number of members chosen randomly = 5
We need to find the probability that at least one of the tested players is found to have taken a performance enhancing drug.
P(Atleast 1) = 1 - P(none is found to have taken a performance enhancing drug)
So, P(X≥1)=1-P(X=0)

Hence, our required probability would be 0.70.
Polynomials are not closed under division. When you divide polynomials it is possible to get quotients with negative exponents or with fractions that have exponents in the denominator, and neither of these could be included in polynomials.