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ASHA 777 [7]
3 years ago
12

Simplify the expression 82 + 9 (12: 3 x 2) – 7. Explain each of your steps.

Mathematics
1 answer:
Olin [163]3 years ago
5 0

Answer:

129

Step-by-step explanation:

8^2 + 9 (12/3 x 2) -7  Parentheses first 12 : 3 is the same as 12/3

    8^2 + 9 (4x2)-7 Parentheses:

      8^2 + 9 (8) - 7 Exponent 8 x 8:

        64 + 9(8) - 7     Multiply:

         64 + 72- 7     Add :

             136 - 7    Subtract:

                 129

The answer is 129.

Hope this helps :)

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Place the quadratic y=2x^2+24x+79 into vertex form by using the method of completing the square and then state the coordinates o
katrin2010 [14]

Answer:

y=2(x+6)^2+7

(-6,7)

Step-by-step explanation:

y=2x^2+24x+79

Completing the square is a process of converting a quadratic equation in standard form into vertex form.

The first step in completing the square is grouping the quadratic and linear terms of the quadratic equation.

y=(2x^2+24x)+79

Factor out the coefficient of the quadratic term,

y=2(x^2+12x)+79

Now complete the square, add a term to make the grouped part of the equation a complete square, then balance the equation.

y=2(x^2+12x+36-36)+79

Simplify,

y=2(x^2+12x+36)+79+(2)(-36)

y=2(x+6)^2+79-72

y=2(x+6)^2+7

The x-coordinate of the vertex of the equation is equal to (-1) times the numerical part of the quadratic term, and the y-coordinate is equal to the constant.

(-6,7)

7 0
3 years ago
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Answer:

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8 0
2 years ago
Can someone help me???
Tatiana [17]

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3 years ago
Paloma decided to divide 1,292 by 31 using partial quotients. She uses 30 as her first partial quotient. Which are the partial q
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3 years ago
Use determinants to find out if the matrix is invertible.
wariber [46]

Answer:

The matrix is not invertible.

Step-by-step explanation:

We are given the following matrix in the question:

A =\left[\begin{array}{ccc}-5&0&1\\-1&3&2\\0&10&6\end{array}\right]

Condition for invertible matrix:

A matrix is invertible if and only if the the determinant is non-zero.

We can find the determinant of the matrix as:

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Since the determinant of the given matrix is zero, the given matrix is not invertible.

5 0
3 years ago
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