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Dovator [93]
3 years ago
9

!50 POINTS!

Mathematics
1 answer:
Strike441 [17]3 years ago
6 0

Answer:

  • A. 0

Step-by-step explanation:

<u>Given inequality:</u>

  • 6 > z(10 - z)

<u>Solution:</u>

  • 6 > 10z - z²
  • z² - 10z + 6 > 0
  • z² - 10z + 25 > 19
  • (z - 5)² > 19
  • z - 5 > √19 ⇒ z > 5 + √19 ⇒ z > 9.35
  • z - 5 < - √19 ⇒ z < 5 - √19 ⇒ z < 0.64

The only number satisfying this inequality is 0.

Correct choice is A

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PLEASE HELP DUE TOMORROW 1. An artist is selling children’s crafts. Necklaces cost 2.25 each and bracelets cost 1.50 per each. a
Tems11 [23]

Answer:

Kindly check explanation

Step-by-step explanation:

Given that:

Cost per bracelet = 1.50

Cost per necklace = 2.25

Let :

number of necklace = n

Number of bracelet = b

Cost equation C ;

C = 1.5b + 2.25n

Number of necklace that could be sold for exactly $12

5 necklaces and 1 bracelet :

1.5 + 2.25(5) = 12.75

•2 necklaces and 5 bracelets:

1.5(5) + 2.25(2) = 12

• 3 necklaces and 3 bracelets

1.5(3) + 2.25(3) = 11.25

• 4 necklaces and 2 bracelets

1.5(2) + 2.25(4) = 12

• 3 necklaces and 5 bracelets

1.5(5) + 2.25(3) = 14.25

• 6 necklaces and no bracelets •

1.5(0) + 2.25(6) = 13.5

No necklaces and 8 bracelets

1.5(8) + 2.25(0) = 12

Amount charged per Tshirt = c

Setup fee = $40

Number of students in drama club = 21

Total cost of order = $187

Calculate C ;

Total order cost = set up fee + (cost per shirt * number of shirts)

Total order cost = 40 + 21c

187 = 40 + 21c

187 - 40 = 21c

147 = 21c

c = 147 / 21

C = 7

Hence cost per shirt = $7

5 0
3 years ago
If f(p) divided by x-p and x-q have the same remainder
oee [108]
Hello,


x^2-y^2=(x+y)(x-y)
x^3-y^3=(x-y)(x²+xy+y²)

Let's use Horner's division

.........|a^3|a^2.|a^1..........|a^0
.........|1....|5....|6..............|8....
a=p...|......|p....|5p+p^2....|6p+5p^2+p^3
----------------------------------------------------------
.........|1....|5+p|6+5p+p^2|8+6p+5p^2+p^3

The remainder is 8+6p+5p^2+p^3 or 8+6q+5q^2+q^3


Thus:
8+6p+5p^2+p^3 = 8+6q+5q^2+q^3
==>p^3-q^3+5p^2-5q^2+6p-6p=0
==>(p-q)(p²+pq+q²)+5(p-q)(p+q)+6(p-q)=0
==>(p-q)[p²+pq+q²+5p+5q+6]=0 or p≠q
==>p²+pq+q²+5p+5q+6=0

And here, Mehek are there sufficients explanations?
3 0
3 years ago
Jane addresses twice as many envelopes as Louis in the same amount of time. Together, they address 300 envelopes each day.
klemol [59]
Jane addresses 200, while Louis addresses 100.
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3 years ago
Is -4 a solution to the equation ?
Novosadov [1.4K]

9514 1404 393

Answer:

  No

Step-by-step explanation:

Put the value where the variable is and see if you get a true statement.

  2(-4) -8 = -15

  -8 -8 = -15 . . . . . . . false

-4 is <em>not a solution</em> to the equation

3 0
3 years ago
Read 2 more answers
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umka21 [38]

Answer:

0

Step-by-step explanation:

+25 for the first attempt but -25 for the second

3 0
3 years ago
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