To factor this quadratic equation into double brackets, you need to find two numbers that add together to equal 10, but also multiply to give you 9. These two numbers can be identified as 1 and 9, which will be the numbers you place in your parentheses as follows:
(x+1)(x+9)
Answer:
x=0, yes.
Step-by-step explanation:
3x+8=5x+8
5x-3x+8=8
2x+8=8
2x=8-8
2x=0
x=0/2
x=0
Answer:
Inequality:
120 + 0.05x ≥ 200
Solution:
x ≥ $1,600
Her total weekly sales must be equal to or greater than $1,600
Step-by-step explanation:
Let x represent the weekly sales she must make to reach her goal.
Given;
Pay rate = $8
Weekly total work hours = 15 hours
Commission on sales = 5% = 0.05
Total weekly earnings is;
8×15 + 0.05×x
120 + 0.05x
Minimum Weekly target earnings = $200
So;
120 + 0.05x ≥ 200
Solving the inequality equation;
0.05x ≥ 200 - 120
0.05x ≥ 80
x ≥ 80/0.05
x ≥ 1600
x ≥ $1,600
Her total weekly sales must be equal to or greater than $1,600
Answer:
x = - 5, x = 2
Step-by-step explanation:
Using the rules of logarithms
log x - log y = log (
)
x = n ⇔ x = 
note that log x = 
x
Given
log (x² + 3x) - log10 = 0, then
log(
) = 0, thus
= 
= 1 ( multiply both sides by 10 )
x² + 3x = 10 ( subtract 10 from both sides )
x² + 3x - 10 = 0 ← in standard form
(x + 5)(x - 2) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 5 = 0 ⇒ x = - 5
x - 2 = 0 ⇒ x = 2
Solution is x = - 5, x = 2
Answer:
square inches
Step-by-step explanation:
Given:
The quilt made by Spencer had a 7×7 array of different color square patches such that each patch is 
in long.
To find: the area of the whole quilt
Solution:
Side of each quilt = 
Quilt is in the form of a square such that area of square is given by 
Therefore, area of quilt = 
square inches
