Answer:
2x(x + 3)(2x - 1)
Step-by-step explanation:
Given
4x³ + 10x² - 6x ( factor out 2x from each term )
= 2x(2x² + 5x - 3)
To factorise the quadratic
Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term.
product = 2 × - 3 = - 6 and sum = + 5
The factors are + 6 and - 1
Use these factors to split the x- term
2x² + 6x - x - 3 ( factor the first/second and third/fourth terms )
2x(x + 3) - 1(x + 3) ← factor out (x + 3) from each term
(x + 3)(2x - 1), hence
2x² + 5x - 3 = (x + 3)(2x - 1)
Hence
4x³ + 10x² - 6x = 2x(x + 3)(2x - 1)
16) 9y+2r If she bought 1 dog toy and 2 treats: 9(1)+2(2)= 13
17) 5n-3n= 2n
17-2+7= 22 Combine like terms
2n+22 Write out expression
2(8)+22= 38 Plug in 8.
Answer: 2n+22; 38
18) 5h^3 h represents the # of weeks; Find # of tickets sold in 3 weeks:h=3
5(3)^3 plug in 3
5(27) PEMDAS; Exponents first; 3*3*3= 27
Answer: 135
19) It is true
If d=2, 5(2)*5(2)*5(2)= (5*2)^3
10*10*10=(10)^3
1,000=1,000
Answer:
the numbers are 7 and 11
Step-by-step explanation:
If you add the smaller to the sum of numbers, you have the sum of the greater and twice the smaller. That is ...
18 + smaller = 25
smaller = 25 -18 = 7
larger = 18 -7 = 11
The two numbers are 7 and 11.
_____
If you like, you can write two equations. Let x and y represent the smaller and larger numbers, respectively.
x + y = 18
2x + y = 25
Subtract the first equation from the second:
(2x +y) -(x +y) = (25) -(18)
x = 7
y = 18-x = 18-7 = 11
The numbers are 7 and 11.
Answer:
47
Step-by-step explanation:
Let's solve your equation step-by-step.
−4x−3(−44−23)=13
Step 1: Simplify both sides of the equation.
−4x+201=13
Step 2: Subtract 201 from both sides.
−4x+201−201=13−201
−4x=−188
Step 3: Divide both sides by -4.
−4x
−4
=
−188
−4
x=47
