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Slav-nsk [51]
3 years ago
14

If 1 factor of 6x3 + 23x2 − 6x − 8 is (x + 4), what are the other 2 factors?

Mathematics
1 answer:
spin [16.1K]3 years ago
7 0
Use synthetic division to find the quadratic:

-4 | 6 23 -6 -8
6 -24 4 | 8
—————-
6 -1 -2 | 0 = 6x²-x-2 = (3x+1)(2x-1)

So the other two factors are 3x+1 and 2x-1.
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Find the circumference and area of a circle with a diameter of 22 inches.
Katyanochek1 [597]

Answer:

  Circumference=22\pi\;inches \\\\Area =121\pi \;inches^2

Step-by-step explanation:

Diameter of the circle=22\;inches

Radius=\dfrac{22}{2} =11\;inches

Circumference of a circle:

            =2\times \pi \times r

            =2\times \pi \times 11\\\\=22\pi \;inches

Area of the circle:

                  =\pi \times r^2

                 =\pi \times 11\times 11\\\\=121\times \pi \\\\=121\pi \;inches^2

8 0
3 years ago
Mick departs Sydney on Tuesday at 6:00 am and arrives in Christchurch on Tuesday at 12:45 pm. If Christchurch time is 2 hours ah
Andrej [43]

Answer:

4 hours and 45 minutes.

Step-by-step explanation:

Since Christchurch is 2 hours ahead of Sydney, you subtract 2 from 12:45 and get 10:45 so then, you determine the difference between 10:45 and 6:00 AM and it results in 4.75 hours or 4 hours and 45 minutes

7 0
3 years ago
Help giving medals find the area of the triangle with the given measurements. round the solution to the nearest hundredth if nec
FromTheMoon [43]

In order to solve for the area of the triangle with the given dimensions, we use the equation

<span>                        A = ac(cos b)/2</span>

Substituting the known values,

<span>                         A = (11 cm)(18 cm)(cos 104o)/2 = 23.95 cm2</span>

 

<span>Thus, the answer is the third choice. </span>

8 0
3 years ago
Read 2 more answers
Write a sequence that has three arithmetic means between 35 and 45
klasskru [66]
45 - 35  = 10 
so we divide by 4  10/4 = 2.5 
The sequence is  35, 37.5, 40, 42.5, 45
5 0
2 years ago
Deandre's goal is to find a job that provides an income of at least $75,000 a year. Ashley's Furniture offers him a job paying a
alekssr [168]

Answer:

  at least $1,050,000

Step-by-step explanation:

Deandre's salary will be ...

  12000 + 0.06·sales

He wants that to be at least 75000, so the sales must meet the requirement ...

  12000 + 0.06·sales ≥ 75000

  0.06·sales ≥ 63000 . . . . . . . . . . . . subtract 12000

  sales ≥ 63000/0.06 . . . . . . . . . . . .divide by 0.06

  sales ≥ 1,050,000 . . . . . . . . . . . . . .evaluate

He will need to have at least $1,050,000 in total sales to have a yearly income at least $75,000.

3 0
2 years ago
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