Correct answer gets multiply. (2x+1)(x−5) express the answer in standard form. enter your answer in the box

Given is (2x+1)(x−5)

We need to multiply the binomials and write the expression in standard form.

We know about distributive property that is given as "a(b+c) = ab + ac".

We have (2x+1)(x−5).

Step 1: Using Distributive property on first binomial expression (2x+1).

2x(x-5) + 1(x-5)

Step 2: Using Distributive property on second binomial expression (x-5).

2x(x) + 2x(-5) + 1(x) + 1(-5)

2x² - 10x + 1x - 5

Step 3: Combining like terms.

2x² - 9x - 5

Hence, final answer is (2x² - 9x - 5).

answer: x=3 and y=4

step-by-step explanation:

the revenue of the fitness center, y, is the product of two factors: the number of members and the fee paid by each member. there are 320 members now, but number of members goes down by 10 for each $5 increase in fees, so if x is the number of $5 price increases then members is equal to (320 - 10x). since the fee is currently $45, and the fee increases by $5 for every price bump x, the fee is given by (45 + 5x). so, revenue y is given by y = (320 - 10x)(45 + 5x).