Factor 25x ^2 + 10x + 1. (25x + 1)(x + 1) (5x + 1)(5x - 1) (5x + 1)²
2 answers:
Answer:
Step-by-step explanation:
Factor
To factor this expression we use AC method. multiply 'a' and 'c'
Given expression is ax^2+bx+c
'a' times 'c' is 25 times 1 = 25
Now product is 25 and sum is the coefficient of middle term is 10
Now break the middle term 10x using factors 5 and 5
Group first two terms and last two terms
Factor out GCF from each group
FActor out 5x+1
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Answer:
Cost of one pencil:
Cost of one eraser:
Step-by-step explanation:
Let be "p" the cost in dollars of one pencil and "e" the cost in dollars of one eraser.
Based on the information given in the exercise, you can set up the following system of equations:
You can use the Elimination Method to solve the system of equations.
Multiply the first equation by -3 ad the second one by 4. Then add the equations and solve for "e":
{
Substitute the value of "e" into any original equation and solve for "p":
Answer:
87.9
Step-by-step explanation:
Use a calculator or table to find the z-score that corresponds to 25%.
P(Z < z) = 0.25
z = -0.675
Now find the value that corresponds to that z score.
z = (x − μ) / σ
-0.675 = (x − 101.3) / 19.9
x = 87.9
