Answer: The product of (3x+7) and (x-7) equals 3x^2 + 28x + 49
Step-by-step explanation:
To find the product of (3x+7) and (x-7) means to multiply both variables: To multiply both variables, we first multiply 3x by the expression, x - 7, then multiply 7 by the expression, x - 7.
(3x × x) +( 3x × 7) + (7 × x) + ( 7 × 7)
= 3x^2 + 21x + 7x + 49
= 3x^2 + 28x + 49
Answer:
n=5
Step-by-step explanation:
12+5=17 is equal to 12+n=17 so n=5
Your father will require 14.6 cups of sugar for the larger group
<h3>Ratio and proportions</h3>
From the question, we have that 2.5 cups of sugar can be used to make recipes for 6 people that is;
6 people = 2.5 cups of sugar
In order to calculate for 35 people, we will have;
35 people = x
Taking the ratio of the expressions
6/35 = 2.5/x
6x = 87.5
x = 87.5/6
x = 14.6
Hence your father will require 14.6 cups of sugar for the larger group
Learn more on ratio and proportions here: brainly.com/question/19994681
Answer:
-9
Step-by-step explanation:
x² -16 = (x -4)(x +4)
This magnitude of this product can only be prime if one of the factors is ±1. Any other integer value of x will produce a composite number (or zero).
... For x-4 = ±1, x = 3 or 5
... For x+4 = ±1, x = -3 or -5
The values of x that are ±3 both give |x²-16| = 7, a prime.
The values of x that are ±5 both give |x²-16| = 9, not a prime.
The two values of x that are of interest are x=-3 and x=3. Their product is ...
... (-3)·(3) = -9
