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Llana [10]
2 years ago
5

Solve for x. logo(x-2) + log(x + 3) = 2

Mathematics
1 answer:
amid [387]2 years ago
5 0

Answer:

x=-1-5√17/2

Step-by-step explanation:

logo((x-2)(x+2))=2

logo(x²+3x-2x-6)=2

x²+3x-2x-6=10²

x²+x-6=100

x²+x-106=0

x=-1+5√17/2

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Eva bought popcorn, candy and a drink at the movies. The popcorn was three times as expensive as the candy and the drink was twi
aliina [53]

The cost of popcorn, drinks, and candy is 5.25, 3.5, and 1.75.

Given,

Eva bought popcorn, candy, and a drink at the movies.

The popcorn was three times as expensive as the candy and the drink was twice as expensive as the candy.

Eva spent a total of 10.50

We need to find the cost of popcorn, candy, and drink.

We have,

Let the cost of the candy be C.

Now,

The popcorn was three times as expensive as the candy.

Cost of the Popcorn = 3C

The drink was twice as expensive as the candy.

Cost of the drink = 2C

Eva spent a total of 10.50

Cost of popcorn + cost of drink + cost of candy = 10.50

3C + 2C + C = 10.50

Adding

6C = 10.50

Dividing by 6 into both sides

C = 10.50/6

C = 1.75.

Now,

Cost of the Popcorn = 3C = 3 x 1.75 = 5.25

Cost of the drink = 2C = 2 x 1.75 = 3.5

Cost of the candy = C = 1.75

Thus the cost of popcorn, drinks, and candy is 5.25, 3.5, and 1.75.

Learn more about finding the cost of items with the given total cost here:

brainly.com/question/357628

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6 0
2 years ago
Write down the nth term of this sequence... 8, 11, 14, 17, 20
bezimeni [28]
Seems to be an arythmetic sequence
common difference is 3 (increases by 3 each time)

an=a1+d(n-1)
d=3
a1=8
an=8+3(n-1)
an=8+3n-3
an=3n+5
6 0
3 years ago
How to turn Standard Form (-2x + 3y = -12) to Point-slope Form?
IgorC [24]
It would be <span>a slope of -2.</span>
5 0
3 years ago
The equation v=√2.5 represents the maximum velocity that a car can travel safely on a unbanked curve when v is the maximum veloc
Sergeeva-Olga [200]

Answer:

41.1 feet to the nearest tenth.

Step-by-step explanation:

v = √2.5 r

At 65 mph the radius of the turn r

= 65 / √2.5

= 41.1 feet.

5 0
3 years ago
11 times the sum of 8 and 14, divided by 5​
Cloud [144]

Answer:

See below, please!

Step-by-step explanation:

\frac{11(8+14)}{5}. Use PEMDAS. Sum of 8 and 14 is 22, multiply that by 11, and then divide by 5. Your answer is 48.4.

Hope this helped!

6 0
3 years ago
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