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grin007 [14]
3 years ago
6

The sum of three consecutive ODD numbers is -21. FIND THE THREE INTEGERS. define the variables,write and solve the equation,gi

ve all answer. HELPL!! DUE IN 13 MINUTES
Mathematics
1 answer:
nignag [31]3 years ago
3 0

Answer:

ok so

Step-by-step explanation:

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n200080 [17]
The equation of the line best fit is y=35, x= 20
no practice, student expcted to type 20 wpm
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4 0
3 years ago
Read 2 more answers
Use matrices to solve the system of equations if possible. Use Gaussian elimination with back substitution or gauss Jordan elimi
CaHeK987 [17]

In matrix form, the system is given by

\begin{bmatrix} -1 & 1 & -1 \\ 2 & -1 & 1 \\ 3 & 2 & 1 \end{bmatrix} \begin{bmatrix} x \\ y \\ z \end{bmatrix} = \begin{bmatrix} -20 \\ 29 \\ 29 \end{bmatrix}

I'll use G-J elimination. Consider the augmented matrix

\left[ \begin{array}{ccc|c} -1 & 1 & -1 & -20 \\ 2 & -1 & 1 & 29 \\ 3 & 2 & 1 & 29 \end{array} \right]

• Multiply through row 1 by -1.

\left[ \begin{array}{ccc|c} 1 & -1 & 1 & 20 \\ 2 & -1 & 1 & 29 \\ 3 & 2 & 1 & 29 \end{array} \right]

• Eliminate the entries in the first column of the second and third rows. Combine -2 (row 1) with row 2, and -3 (row 1) with row 3.

\left[ \begin{array}{ccc|c} 1 & -1 & 1 & 20 \\ 0 & 1 & -1 & -11 \\ 0 & 5 & -2 & -31 \end{array} \right]

• Eliminate the entry in the second column of the third row. Combine -5 (row 2) with row 3.

\left[ \begin{array}{ccc|c} 1 & -1 & 1 & 20 \\ 0 & 1 & -1 & -11 \\ 0 & 0 & 3 & 24 \end{array} \right]

• Multiply row 3 by 1/3.

\left[ \begin{array}{ccc|c} 1 & -1 & 1 & 20 \\ 0 & 1 & -1 & -11 \\ 0 & 0 & 1 & 8 \end{array} \right]

• Eliminate the entry in the third column of the second row. Combine row 2 with row 3.

\left[ \begin{array}{ccc|c} 1 & -1 & 1 & 20 \\ 0 & 1 & 0 & -3 \\ 0 & 0 & 1 & 8 \end{array} \right]

• Eliminate the entries in the second and third columns of the first row. Combine row 1 with row 2 and -1 (row 3).

\left[ \begin{array}{ccc|c} 1 & 0 & 0 & 9 \\ 0 & 1 & 0 & -3 \\ 0 & 0 & 1 & 8 \end{array} \right]

Then the solution to the system is

\boxed{x=9, y=-3, z=8}

If you want to use G elimination and substitution, you'd stop at the step with the augmented matrix

\left[ \begin{array}{ccc|c} 1 & -1 & 1 & 20 \\ 0 & 1 & -1 & -11 \\ 0 & 0 & 1 & 8 \end{array} \right]

The third row tells us that z=8. Then in the second row,

y-z = -11 \implies y=-11 + 8 = -3

and in the first row,

x-y+z=20 \implies x=20 + (-3) - 8 = 9

5 0
2 years ago
The APR of Estelle's savings account is 4.5% but interest is compounded only once a year. what is the APY of Israel's savings ac
Tems11 [23]
4.5% is the answer to yo problem ..
8 0
3 years ago
Read 2 more answers
Solve the given system by the substitution method. If there is no solution or an infinite number of​ solutions, so state. Use se
Novosadov [1.4K]

Answer:

x=5, y=3

Step-by-step explanation:

1) x+3y=14,4x+5y=35

2) x+3y=14

3) x=-3y+14

4) 4(-3y+14)+5y=35

5) -12y+56+5y=35

6) -7y+56=35

7) -7y=-21

8) y=3

9) x=-3\times 3+14

10) x=-9+14

11) x=5

finale and last : x=5,y=3 ✅

4 0
3 years ago
Which of the objects shown above are pyramids?
PolarNik [594]
<h3>Answer: A and B (first answer choice)</h3>

Explanation:

Both figures shown in A and B are triangular pyramids. The base is a triangle, and the lateral sides are also triangles. Another example would be rectangular pyramids where the base is a rectangle, and the lateral sides are triangles.

Choice C is ruled out because cones aren't considered pyramids.

Choice D is a combination of a rectangular prism, and a rectangular pyramid stacked on top, so it's not purely a pyramid only. We can rule out choice D.

7 0
2 years ago
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