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2 years ago

Find the value of each determinant

Mathematics

1 answer:

Ksenya-84 [330]2 years ago

6 0

Answer:

−4304

Step-by-step explanation:

1. The given determinant is :

$\begin{vmatrix}7 &31 \\ 142& 14\end{vmatrix}$

We need to find its determinant . It can be solved as follows :

$\begin{vmatrix}7 &31 \\ 142& 14\end{vmatrix}=7(14)-142(31)\\\\=-4304$

So, the value of determinant is equal to −4304.

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3 years ago

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2 years ago

Factor: 9t^2-16u^2 ?

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3 years ago

A gift basket has 2 soaps and 5 lotions and costs $20. A second basket has 6 spas and 15 lotions and cost $60. Is it possible to

kifflom [539]

A second basket has 6 spas--- I think you mean 6 soaps , so i will work with that

Answer:it is not possible to determine the price of the soap with the information given.

Step-by-step explanation:

Let s0ap be represented as x

and lotion be represented as y

2 soaps and 5 lotions costing $20 gives us equation 1 as

2 x+ 5y= 20-------- equation 1

second basket with 6 soaps and 15 lotions and costing $60 gives us equation 2 as

6x + 15y= 60------equation 2

Step 2 -- Solving

2 x+ 5y= 20-------- equation 1

6x + 15y= 60--------equation 2

BY elimination method, we multiply equation 1 by (3)

2x + 5y= 20 x (3)

6x + 15y=60-------equation 3

Subtraction of equation 3 from equation 2 gives us

6x + 15y=60-------equation 3

-6x + 15y= 60--------equation 2

0x +0y=0 which is no solution

Therefore it is not possible to determine the price of the soap

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3 years ago