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stepladder [879]

3 years ago

9

Determine the coefficient matrix of the system of equations latex: 3x-2y = 7,\; x+4y=2. 3 x − 2 y = 7 , x + 4 y = 2. what is the

determinant? g

1 answer:

Amanda [17]3 years ago

4 0

When put in matrix form, the coefficients of

... 3x -2y = 7

... x + 4y = 2

look like

$\left[\begin{array}{cc}3&-2\\1&4\end{array}\right]$

The determinant is 3×4 - 1×(-2) = 14.

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Nearest interger of 10

hjlf

Answer:

9 or 11

Step-by-step explanation:

These are the answers because:

1) The number before 10 and after 10 is 9 and 11

Therefore, the answer is 9 or 11

Hope this helps!

6 0

3 years ago

Solve and graph the following inequality: 3(7x+17) > -19 + 14x

love history [14]

Answer:

Solving the inequality we get: $\mathbf{x>-7}$

Step-by-step explanation:

We need to solve and graph the inequality $3(7x+17) > -19 + 14x$

Solving:

$3(7x+17) > -19 + 14x$

Step 1: Multiply 3 with terms inside the bracket

$21x+51 > -19 + 14x$

Step 2:Subtracting 51 on both sides

$21x+51-51 > -19 + 14x-51\\21x>14x-70\\$

Step 3: Subtract 14x on both sides

$21x-14x>+14x-70-14x\\7x>-70$

Step 4: Divide both sides by 7

$\frac{7x}{7}>\frac{-70}{7}\\x>-10$

Solving the inequality we get: $\mathbf{x>-7}$

The graph is attached in the figure below.

5 0

3 years ago

Find two consecutive odd numbers such that the sum of the larger number and twice the smaller number is 27 less than four times

irakobra [83]

Two Consecutive Odd Numbers: D, D+2

(D+2) + 2D = 4D - 27
D + 2 + 2D = 4D - 27
3D + 2 = 4D - 27
3D + 29 = 4D
29 = D

Two Consecutive Odd Numbers are 29, 31

Check. . 31 + 2(29) = 4(29) - 27
..................31 + 58 = 116 - 27
.................89 = 89 ..... CORRECT!

4 0

3 years ago

I need help attachment below will give brainliest

Veronika [31]

Answer:

see explanation

Step-by-step explanation:

(1)

Calculate the circumference (C) of the wheel

C = πd (d is the diameter )

= 3.14 × 8 = 25.12 cm

Now divide the distance travelled by the circumference.

times rotated = 12560 ÷ 25.12 ≈ 500

----------------------------------------------------------------

(2)

The area (A) of a circle is calculated as

A = πr² ( r is the radius )

Find r by using the circumference (C)

2πr = 50.24 ( divide both sides by 2π )

r = 50.24 ÷ 6.28 = 8 , then

A = 3.14 × 8² = 3.14 × 64 ≈ 200.96 ft² ( student 3 )

-----------------------------------------------------------------

(3)

C = πd = 3.14 × 30 = 94.2 ≈ 94 m

7 0

2 years ago

Solve the equation <br> 14(3x-1)=2x-23

irina1246 [14]

Answer:

$x=\frac{-9}{40} \\$

Step-by-step explanation:

Given Equation:

$14(3x-1)=2x-23$

Solving the bracket on L.H.S

$(14)(3x)-1(14)=2x-23$

$42x-14=2x-23$

Taking the terms of 'x' to one side and the constants to other side

$42x-2x=-23+14\\\\40x=-9\\\\x=\frac{-9}{40} \\$

The value of 'x' after solving the equation is:

$x=\frac{-9}{40} \\$

3 0

3 years ago