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:
6m+ 4
Step-by-step explanation:
2(2m-1) + 2(m+3)
4m - 2 + 2m + 6
6m + 4
Answer:
$234
Step-by-step explanation:
First we need to define profits. Profits are Income minus Expenses:
P = I - E
We know profits are $414, so:
414 = I - E
We also can calculate income, as it is equal to price by the sales:
I = p*Q
Here she sold 90 kgs at $7.20 b kg. So:
I = p*Q = 7.20 * 90 = 648
So, replacing in profits equation:
414 = I - E
414 = 648 - E
If we sum E in both sides:
414 + E = 648 - E + E = 648
414 + E = 648
Now, subtracting 414 in both sides:
414 + E - 414 = 648 - 414
E = 234
So, her expenses are $234
We know there is 57 members are in the math club and there is twice as many sixth grades than the seventh. To find out how many sixth graders are in the club, we do:
x = seventh graders
2x = sixth graders
2x + x = 3x
57=3x
57 ÷ 3 = 3x ÷3
19 = x
So there is 19 seventh graders and 19×2= 38 sixth graders
I cant see the triangle so its kinda hard to know
