Answer:
8,100,000,000
Step-by-step explanation:
I used a calculator lol
Hi there! :)
Answer:
x² + 6x + 8 = 0
Factor the equation by finding two numbers that sum up to 6 and multiply into 8:
4 + 2 = 6
4 ×2 = 8
Rewrite in factored form:
(x + 4) (x + 2) = 0
Find the roots using the Zero-Product Property:
x + 4 = 0
x = - 4
x + 2 = 0
x = -2.
Therefore, the roots of this equation are at x = -4 and -2.
Answer:
You should use 0.6 cups of pineapple juice if you only have 1 cup of orange juice.
Step-by-step explanation:
With the information provided about the recipe, you can use a rule of three to find the cups of pineapple you should use if you only have 1 cup of orange juice given that the recipe calls for 30 cups of orange juice and 18 cups of pineapple juice:
30 cups of orange juice → 18 cups of pineapple juice
1 cup of orange juice → x
x=(1*18)/30=0.6 cups of pineapple juice
According to this, the answer is that you should use 0.6 cups of pineapple juice if you only have 1 cup of orange juice.
Answer:
See below
Step-by-step explanation:
25¹¹ - 5¹⁹
Convert to base 5 = (5²)¹¹ - 5¹⁹
= 5²² - 5¹⁹
Factor out the GCF = 5¹⁹(5³ - 1)
= 5¹⁹(125 - 1)
= 5¹⁹ × 124
= 5¹⁹ × 4 × 31
31 is a factor of 25¹¹ - 5¹⁹, so the expression is divisible by 31.
Answer:
Step-by-step explanation:
Match the terms to their definition.
1 .
the determinant found when column 1 consists of the constants and column 2 consists of the y-coefficients of a linear system
3
coefficient
2 .
the form Ax + By = C of a linear equation, where A, B, and C are integers
4
determinant
3 .
the constant preceding the variables in a product
6
matrix
4 .
the value of: (row 1, column 1)(row 2 column 2) - (row 1, column 2)(row 2, column 1) in a 2 by 2 matrix
2
determinant form
5 .
the determinant found when column 1 consists of the x-coefficients and column 2 consists of the constants of a linear system
7
system determinant
6 .
a rectangular array made up of rows and columns
1
x-determinant
7 .
the determinant found when column 1 consists of the x-coefficients and column 2 consists of the y-coefficients of a linear system
5
y-determinant