Answer:
(2x + 1)(3x + 2)
Step-by-step explanation:
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 = 6 × 2 = 12 and sum = 7
The factors are + 3 and + 4
Use these factors to split the x- term
= 6x² + 3x + 4x + 2 ( factor the first/second and third/fourth terms )
= 3x(2x + 1) + 2(2x + 1) ← factor out (2x + 1) from each term
= (2x + 1)(3x + 2) ← in factored form
Answer:
x<9
Step-by-step explanation:
x-6<x/3
3(x-6)<x
3x-18<x
3x-x<18
2x<18
X<18/2
X<9
We need to solve for the total amount of money that Bianca has. But we need to consider that the total amount that Roberto has is 11 times as much money as Bianca had.
Roberto's total money is $88.
We assigned "x" variable to represent the amount that Bianca has.
Such as we can right the phrase "11 times as Bianca has" into "11X".
We have the complete expression as 88 = 11X and solving for X value, we need to divide both sides by 11.
88 / 11 = 11x / 11
8 = x
The total amount that Bianca has is $8.
Answer:
Step-by-step explanation:
Let
Y ----> field of vision that Yash's camera would need
we know that
Applying the law of sines
Solve for sin(Y)
![Y=sin^{-1}[\frac{sin(41\°)}{30}(25)]](https://tex.z-dn.net/?f=Y%3Dsin%5E%7B-1%7D%5B%5Cfrac%7Bsin%2841%5C%C2%B0%29%7D%7B30%7D%2825%29%5D)
The materials were charged at a loading charge of 80.00% of their cost.
The total charge was $720 and included both the material charge and the labor charge.
The first thing to do is therefore find out the cost of the materials without the labor charge:
<em>= Total cost - labor charge</em>
= 720 - (6 labor hours x 75 per labor hour)
= 720 - 450
= $270
The total cost of materials is $270. To find the material loading charge, use the formula:
<em>= (Total cost of materials - Cost of materials used) / Cost of materials used x 100%</em>
= (270 - 150) / 150 x 100%
= 120 / 150 x 100%
= 80%
In conclusion, the material loading charge was 80.00%.
<em>Find out more at brainly.com/question/23089262.</em>
