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Mathematics

1 answer:

tatiyna4 years ago

7 0

Answer: slope of -4....y int of -3

y = -4x - 3 <==

Step-by-step explanation: In y = mx + b form, the slope is in the m position and the y int is in the b position

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D’Angelo’s Pizza is planning to produce small square pizzas. It will cost them $2.00 to make each pizza, and the company will se

stealth61 [152]

Answer:

Gross profit formula= 3x

x= number of units sold

Step-by-step explanation:

Giving the following information:

Unitary variable cost= $2

Selling price per unit= $5

To calculate the profit earned, we need to use the unitary contribution margin formula. The contribution margin is a product's price minus all associated variable costs (sales- variable costs), resulting in the incremental profit earned for each unit sold.

Unitary contribution margin= 5 - 2 = 3

Now, the profit formula:

Gross profit formula= number of units*unitary contribution margin

Gross profit formula= 3x

x= number of units sold

5 0

3 years ago

Find the? inverse, if it? exists, for the given matrix. [4 3] [3 6]

True [87]

Answer:

Therefore, the inverse of given matrix is

$=\begin{pmatrix}\frac{2}{5}&-\frac{1}{5}\\ -\frac{1}{5}&\frac{4}{15}\end{pmatrix}$

Step-by-step explanation:

The inverse of a square matrix $A$ is $A^{-1}$ such that

$A A^{-1}=I$ where I is the identity matrix.

Consider, $A = \left[\begin{array}{ccc}4&3\\3&6\end{array}\right]$

$\mathrm{Matrix\:can\:only\:be\:inverted\:if\:it\:is\:non-singular,\:that\:is:}$

$\det \begin{pmatrix}4&3 \\3&6\end{pmatrix}\ne 0$

$\mathrm{Find\:2x2\:matrix\:inverse\:according\:to\:the\:formula}:\quad \begin{pmatrix}a\:&\:b\:\\ c\:&\:d\:\end{pmatrix}^{-1}=\frac{1}{\det \begin{pmatrix}a\:&\:b\:\\ c\:&\:d\:\end{pmatrix}}\begin{pmatrix}d\:&\:-b\:\\ -c\:&\:a\:\end{pmatrix}$