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Anettt [7]
3 years ago
6

Find the potential solution to the equation log4(2 – x) = log4(–5x – 18).

Mathematics
2 answers:
NNADVOKAT [17]3 years ago
4 0
Log₄(2 – x) = log₄(–5x – 18).

Since the logs have the same basis (4) & are equal then:

(2 – x) = (–5x – 18).  . Now solve for x & you will find x = -5
USPshnik [31]3 years ago
4 0

the answer for this equation is: -5

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How much do 15 DVDs cost at the store with the lowest unit price?
stepan [7]

Answer:

Total cost= $141.75

Step-by-step explanation:

Giving the following information:

Bernie's Bargains 6 DVDs for $56.70

Greg's Giveaways 10 DVDs for $99.70

Stan's Steals 8 DVDs for $79.68

<u>First, we need to determine the unitary price of each and choose the lowest one:</u>

Bernie= 56.7/6= $9.45

Greg= 99.7/10= $9.7

Stan= 79.68/8= $9.96

The lowest price is $9.45.

<u>Now, the total cost of 15 DVDs:</u>

Total cost= 9.45*15

Total cost= $141.75

3 0
2 years ago
Read 2 more answers
Find the value of (6^0 − 7^0) × (6^0 + 7^0)
uysha [10]

Answer:

-13

Step-by-step explanation:

6-7 x 6+7

-1 x 13

-13

6 0
2 years ago
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Find the sixth term of the sequence 1/2, -3/8, 9/32
sukhopar [10]

Answer:

The sixth term is -243/2048 ⇒ answer B

Step-by-step explanation:

* Lets explain the geometric sequence

- There is a constant ratio between each two consecutive numbers

- Ex:

# 5  ,  10  ,  20  ,  40  ,  80  ,  ………………………. (×2)

# 5000  ,  1000  ,  200  ,  40  ,  …………………………(÷5)  

* General term (nth term) of a Geometric sequence:

# U1 = a  ,  U2  = ar  ,  U3  = ar²  ,  U4 = ar³  ,  U5 = ar^4

# Un = ar^(n-1), where a is the first term , r is the constant ratio

  between each two consecutive terms  and n is the position of the

  number in the sequence

- Ex: U5 = ar^4  ,  U7 = ar^6  ,  U10 = ar^9  ,  U12 = ar^11

- Lets solve the problem

∵ The sequence is 1/2 , -3/8 , 9/32

- Lets find the constant ratio r

∵ The first term is a = 1/2

∵ The second term is U2 = ar

∵ The second term  U2 = -3/8

∴ ar = -3/8

∴ 1/2 r = -3/8 ⇒ multiply both sides by 2

∴ r = -3/4

- Lets find the sixth term

∵ a = 1/2 and r = -3/4

∵ n = 6

∴ U6 = ar^5

∴ U6 = 1/2 (-3/4)^5 = 1/2 × -243/1024 = -243/2048

* The sixth term is -243/2048

8 0
3 years ago
Read 2 more answers
A military cannon is placed at the base of a hill. The cannon is fired at an angle toward the hill. The path
katrin [286]

Answer:

Algebracicaly speaking the answer would be either -13.3876 or - 158.612 through the quadratic equation, but these answers don’t make sense in this real world scenario.

Step-by-step explanation:

7 0
2 years ago
What is the perimeter of a rectangle whose length is -3x + 4 and a width of 5x - 2?
denpristay [2]

Answer:

Step-by-step explanation:

Perimeter = 2*(length + width)

=2*(-3x +4 + 5x - 2)

=2*(2x + 2)

=2*2x + 2*2

=4x + 4

3 0
3 years ago
Read 2 more answers
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