Answer:
(b) -m, m + 3
Step-by-step explanation:
x² − 3x − m(m + 3) = 0
x² − 3x = m(m + 3)
x² − 3x + 9/4 = m(m + 3) + 9/4
(x − 3/2)² = m(m + 3) + 9/4
(x − 3/2)² = m² + 3m + 9/4
(x − 3/2)² = (m + 3/2)²
x − 3/2 = ±(m + 3/2)
x − 3/2 = m + 3/2, -m − 3/2
x = m + 3, -m
Multiply the amount of the discount by pairs of shoes:
21.75 x 7 = 152.25
Add that to the total she spent:
152.25 + 654.50 = 806.75
Divide the total by pairs of shoes:
806.75/7 = $115.25
The answer is C. $115.25
1. An expression that will represent the amount of money that Ms. Thomas will spend is <u>p + 45n - c.</u>
2. The amount of money that Ms. Thomas will spend on the comedy tickets for herself and her 2 friends is <u>$155</u>.
<h3>What is a mathematical expression?</h3>
A mathematical expression is a statement that involves two or more variables that require some mathematical operations.
Most commonly, a mathematical expression contains numbers, variables, and operators, which show a value after the mathematical operations.
<h3>Data and Calculations:</h3>
Parking fee = $35
Ticket fee per person = $45
The number of people on the show = 3 (Ms. Thomas and her two friends)
Coupon = $15
Amount of money spent = p + 45n - c
where p = parking fee, n = number of visitors, and c = coupon received.
= 35 + 45 x 3 - 15
= $155
Learn more about mathematical expressions at brainly.com/question/1852123
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Answer:
3(x + 2)(2x - 5)
Step-by-step explanation:
Given
6x² - 3x - 30 ← factor out 3 from each term
= 3(2x² - x - 10) ← factor the quadratic
Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term
product = 2 × - 10 = - 20 and sum = - 1
The factors are + 4 and - 5
Use these factors to split the x- term
2x² + 4x - 5x - 10 ( factor the first/second and third/fourth terms )
= 2x(x + 2) - 5(x + 2) ← factor out (x + 2) from each term
= (x + 2)(2x - 5), thus
2x² - x - 10 = (x + 2)(2x - 5) and
6x² - 3x - 30
= 3(x + 2)(2x - 5) ← in factored form
