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3 years ago

Complete the table using the relationship between b and n

Mathematics

1 answer:

kotegsom [21]3 years ago

3 0

Answer:

See picture attached:)

Hope that makes sense! If you'd like any more help with maths, I'd be happy to offer online tuition. You can find me at: www.birchwoodtutors.com

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5. Shane has $6 more than three times the

maria [59]

Answer:

$31

Step-by-step explanation:

(99 - 6) / 3

4 0

3 years ago

Create a matrix for this system of linear equations, The determinant of the coefficient matrix is

marin [14]

Answer: The determinant of the coefficient matrix is -15 and x = 3, y = 4, z = 1.

Step-by-step explanation: The given system of linear equations is :

$2x+y+3z=13~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)\\\\x+2y=11~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(ii)\\\\3x+z=10~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(iii)$

We are given to find the determinant of the coefficient matrix and to find the values of x, y and z.

The determinant of the co-efficient matrix is given by

$D=\begin{vmatrix}2 & 1 & 3\\ 1 & 2 & 0\\ 3 & 0 & 1\end{vmatrix}=2(2-0)+1(0-1)+3(0-6)=4-1-18=-15.$

Now, from equations (ii) and (iii), we have

$x+2y=11~~~~~\Rightarrow y=\dfrac{11-x}{2}~~~~~~~~~~~~~~~~~~~~~~~~~~(iv)\\\\\\3x+z=10~~~~~~\Rightarrow z=10-3x~~~~~~~~~~~~~~~~~~~~~~~~~(v)$

Substituting the value of y and z from equations (iv) and (v) in equation (i), we get

$2x+y+3z=13\\\\\Rightarrow 2x+\dfrac{11-x}{2}+3(10-3x)=13\\\\\Rightarrow 4x+11-x+60-18x=26\\\\\Rightarrow -15x+71=26\\\\\Rightarrow -15x=26-71\\\\\Rightarrow -15x=-45\\\\\Rightarrow x=3.$

From equations (iv) and (v), we get

$y=\dfrac{11-3}{2}=4,\\\\z=10-3\times3=1.$

Thus, the determinant of the coefficient matrix is -15 and x = 3, y = 4, z = 1.

3 0

3 years ago

WILL GIVE BRAINLIEST! Determine the coordinates of the point on the straight line y=3x+1 that is equidistant from the origin and

Lesechka [4]

Answer:

Step-by-step explanation:

The distance between a point (x,y) and the point (-3,4) is

d1= $\sqrt{ (x+3)2+(y-4)2}$ .

The distance between a point (x,y) and the point (0,0) is

d2= $\sqrt{x2+y2}$ .

You know what y is from the equation of the line, so substitute that, set d1=d2, and solve for x.

6 0

4 years ago

What is equivalent to (x+y+2) (y+1)

ohaa [14]

Xy+x+y^2+3y+2 this is the answer

5 0

3 years ago

24 by 72 by 18 in cubic feet

Vadim26 [7]

I have to assume that the 24, the 72, and the 18 are feet.

If those are the dimensions of a rectangular prism, like a box, a crate,
or a humongous block of ice, then

Volume = (length) x (width) x (height) =

 (24-ft) x (72-ft) x (18-ft) = 31,104 cubic ft

If those numbers are inches, then here's the easy way to handle it:

 24 inches = 2 ft
 72 inches = 6 ft
 18 inches = 1.5 ft

 Volume = (length) x (width) x (height) =

 (2ft) x (6ft) x (1.5ft) = 18 cubic feet

7 0

3 years ago