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Dvinal [7]
3 years ago
14

Find all real numbers x that satisfy the equation (x-4)(x-8) = 12.

Mathematics
1 answer:
denis-greek [22]3 years ago
7 0

Answer:

x=10

Step-by-step explanation:

(10-4)(10-8) = 12

(6)(2) =12

12 = 12

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If a dish of ice cream holds 1/4 pound, how many dishes can you get from a 4 1/2 pound carton of Dan's ice cream?
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In order to make a service for four 1 3/4 cups of chopped vegetables are needed. Based on this information, determine the amount
Mila [183]

For this case we propose a rule of three according to the data of the statement. To do this, we convert the mixed number into an improper fraction:

1 \frac {3} {4} = \frac {4 * 1 + 3} {4} = \frac {7} {4}cups

4 ----------> \frac {7} {4}

10 ----------> x

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x = \frac {10 * \frac {7} {4}} {4}\\x = \frac {\frac {70} {4}} {4}\\x = \frac {70} {16}\\x = \frac {35} {8}

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4 \frac {3} {8} cups

6 0
3 years ago
Use the identity (x+y)(x2−xy+y2)=x3+y3 to find the sum of two numbers if the product of the numbers is 10, the sum of the square
professor190 [17]

Answer:

The sum of two numbers is 7.

Step-by-step explanation:

Given : the product of the numbers is 10, the sum of the squares of the numbers is 29, and the sum of the cubes of the numbers is 133.

Using identity (x+y)(x^2-xy+y^2)=x^3+y^3 and given details, we have to find the sum of two numbers.

Since, given that the product of the numbers is 10 that is xy=10

Also, given the sum of the squares of the numbers is 29 that is x^2+y^2=29

and the sum of the cubes of the numbers is 133 that is x^3+y^3=133

Using, the given identity (x+y)(x^2-xy+y^2)=x^3+y^3,

Substitute, the given values, we have,

(x+y)(29-10)=133

Simplify , we get,

(x+y)(19)=133

Divide both side by 19, we have,

(x+y)=7

Thus, the sum of two numbers is 7.

7 0
4 years ago
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