Answer:
2(4x + 1)(x + 1)
Step-by-step explanation:
Given
8x² + 10x + 2 ← factor out 2 from each term
= 2(4x² + 5x + 1)
To 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 = 4 × 1 = 4 and sum = + 5
The factors are + 1 and + 4
Use these factors to split the x - term
4x² + x + 4x + 1 ( factor the first/second and third/fourth terms )
= x(4x + 1) + 1 (4x + 1) ← factor out (4x + 1)
= (4x + 1)(x + 1), thus
4x² + 5x + 1 = (4x + 1)(x + 1) and
8x² + 10x + 2 = 2(4x + 1)(x + 1) ← in factored form
Answer:
B.) 51/64
Step-by-step explanation:
Answer:
<h2>400</h2>
Step-by-step explanation:
Answer: 30%
Step-by-step explanation:
Let A be the probability of a student opting for mathematics - it consists of either boy opting for mathematics or girl opting for mathematics. As there is "or" we need to sum these probabilities.
=> 30%
Answer:
11 units
Step-by-step explanation:
<em>hey there,</em>
<em />
< A square has 4 sides that are all always equal to each other. The perimeter is all the sides summed up together. That means (for example), if one side of the square is 2 cm, then we know that the perimeter is 8 cm, because 2 + 2 + 2 + 2 = 8 (or 2×4=8).
Here we are given that one side is equal to "x-5". Pretend that is a number and solve as I did just right above:
(x-5)×4 = 4x -20
Now we know that the perimeter is (4x-20) units (when you don't know what the units are then just put "units").
We also know that the perimeter can be a number which is 24. That means these two values are equal to each other.
4x-20 = 24
Now solve! Bring x to one side, and all the numbers to the other side.
4x = 44
x = 11
We now know that the value of one side of the square (x) is equal to 11 units. >
<u>Hope this helped! Feel free to ask anything else.</u>
