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tia_tia [17]
3 years ago
12

Solve x2 + 6x = 7 by completing the square. Which is the solution set of the equation?

Mathematics
1 answer:
satela [25.4K]3 years ago
7 0
The answer is x=1 and x=-7
x^2+6x=7
x^2+6x-7=0
(x+7)(x-1)
x=-7 x=1
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He is paid a commission of 9 percent of his first $6,000 in sales during the month and 14 percent on all sales over $6,000. What
Agata [3.3K]

Answer:

  $1,956.80

Step-by-step explanation:

For amounts over $6000, the commission can be computed as ...

  0.14s -300 . . . . . . for sales (s) ≥ 6000

So, for $16,120 in sales, the commission is ...

  0.14×$16,120 -300 = $2,256.80 -300 = $1,956.80

__

The commission schedule suggests that for larger amounts, you divide the problem into two parts: calculate the commission on $6000, and separately calculate the commission on the amount over $6000.

  0.14(s -6000) + 0.09(6000)

  = 0.14s - 0.14·6000 +0.09·6000

  = 0.14s -300 . . . . the formula used above for s ≥ 6000

6 0
2 years ago
Can someone help me asap please thanks
prisoha [69]
Just divide 10 by 2.5.
7 0
3 years ago
Read 2 more answers
Jon recently drove to visit his parents who live 280 miles away. On his way there his average speed was 9 miles per hour faster
Luba_88 [7]

Answer:

11 mph and 20 mph

Step-by-step explanation:

Represent his average speed going by r1 and his average speed returning by r2.  We know that r1 = r2 + 9.

Recall that distance = rate times time, so time = distance / rate.

Time spent going was (280 mi) / r1, or (280 mi) / (r2 + 9 mph).

Time spend returning was (280 mi) / r2.

The total time was 14 hrs, so (280 mi) / (r2 + 9 mph) + (280 mi) / r2 = 14 hrs

Note that there is only one variable here:  r2.  Find r2, and then from r2, find r1:

Dividing all 3 terms by 14 hrs yields:

  20            20

---------- + ----------- = 1

r2 + 9         r2

The LCD here is r2(r2 + 9).  Thus, we have:

      20r2                    (r2 +  9)(r2)

------------------- = 1 or  ------------------

 (r2 +  9)(r2)               (r2 +  9)(r2)

Then 20(r2) = (r2)^2 + 9(r2).  This is reducible by dividing all terms by r2:

20 = r2 + 9, or 11 = r2.  Then r1 = 11 + 9, or 20.

The two rates were 11 mph and 20 mph.

8 0
3 years ago
Which polynomial expression represents a sum of cubes?
s344n2d4d5 [400]
I think it’s C
hope it helped
4 0
3 years ago
The bear lake is 24 miles long. Suppose John starts cycling art one end at 20 m.p.h. and Ramona starts at the other end at 15 m.
Fed [463]

Answer:

24/35 hours  or 0.69 hours

Step-by-step explanation:

we know that

The speed is equal to divide the distance by the time

Let

x-----> distance traveled by John

(24-x) ----> distance traveled by Ramona

The time is equal to divide the distance by the speed

so

x/20=(24-x)/15

15x=20(24-x)

15x=480-20x

15x+20x=480

35x=480

x=480/35 miles

the time is equal to

t=x/20

t=480/(20*35)=24/35=0.69 hours

8 0
2 years ago
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