$7(x-3)^2-4(x-3)-3\\\\substitute\ t=x-3,\ then\ we\ have\\\\7t^2-4t-3\\\\a=7;\ b=-4;\ c=-3\\\\\Delta=b^2-4ac\\\\\Delta=(-4)^2-4\cdot7\cdot(-3)=16+84=100\\\\t_1=\dfrac{-b-\sqrt\Delta}{2a};\ t_2=\dfrac{-b+\sqrt\Delta}{2a}\\\\\sqrt\Delta=\sqrt{100}=10\\\\t_1=\dfrac{-(-4)-10}{2\cdot7}=\dfrac{4-10}{14}=\dfrac{-6}{14}=-\dfrac{3}{7}\\\\t_2=\dfrac{-(-4)+10}{2\cdot7}=\dfrac{4+10}{14}=\dfrac{14}{14}=1\\\\7t^2-4t-3=7\left(t+\dfrac{3}{7}\right)(t-1)=(7t+3)(t-1)\\\\=(7(x-3)+3)(x-3-1)=(7x-21+3)(x-4)\\\\=\boxed{(7x-18)(x-4)}$

7 0

3 years ago

Help me please I don’t get it

Mekhanik [1.2K]

Answer:

150 meters

Step-by-step explanation:

5x3=15

5x4=20

20x15=300

300/2=150

3 0

3 years ago

Read 2 more answers

/98 is closest to which of the following integers?

SVEN [57.7K]

Awnser: 98 is an integer

6 0

3 years ago

Jeff buys a car for $28,000. the vehicle depreciates by 16% each year. Which of the following is the common ratio of the sequenc

Yanka [14]

Find the value of the car in the next year
value next year = (100% - 16%) × 28,000
value next year = 84% × 28,000
value next year = 84/100 × 28,000
value next year = 23,520
The value of the car in the next year is $23,520

Find the ratio
ratio = value of next year/value of recent year
ratio = 23,520 / 28,000
ratio = 0.84
The ratio is 0.84, it's the same with the percentage of value in the next year (84%)

4 0

3 years ago