Solve for x: 80.375x^2 + 1505 = 6^x + 1505

Mathematics

1 answer:

Anvisha [2.4K]4 years ago

5 0

I think the answer is 180.

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faust18 [17]

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3 years ago

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3 years ago

The sum of two integers is -15. The product of the two integers is 54. What are those two integers a. -6 and -9 b. -6 and 9 c. 6

Bas_tet [7]

Let the two integers be x and y respectively

Hence;
$x + y = - 15 \\ \\ xy = 54$
From the first equation ;
$x = - 15- y$
Substitute into the third equation
$( - 15 - y)y = 54$
Open up the bracket
$- 15y - {y}^{2} = 54$
Take everything to the right hand side of the equation and you'll have a quadratic equation
$0 = 54 + 15y + {y}^{2}$
Solve the quadratic equation and you'll have two roots
$y= - 6 \: or \: y= -9$
Substitute for each value of y in the first equation
Therefore:
$x + ( - 6) = - 15 \: \\ or \\ \: x + ( - 9) = - 15$
$x - 6 = - 15 \\ or \\ x - 9 = - 15$
$x = - 15 + 6 \\ or \\ x = - 15 + 9$

$x = - 9 \: or \: x = - 6$
Therefore the answer is A

3 0

4 years ago

Billy is constructing a garden divided into 8 equal sections. The diameter of the garden is 12 feet. What is the area, in square

pishuonlain [190]

If the diameter of the garden is 12 ft, then the radius is 6 ft.

The area is then π(6 ft)^2, or 36 ft^2.

Then the area of one of the 8 equal sections of the garden is 36/8 ft^2, or 9/2 ft^2, or 4.5 ft^2.

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3 years ago

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solniwko [45]

Answer: