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NikAS [45]
3 years ago
6

Find the inverse of the matrix

5Cend%7Barray%7D%5Cright%5D" id="TexFormula1" title="\left[\begin{array}{cc}-4&6\\8&-12\\\end{array}\right]" alt="\left[\begin{array}{cc}-4&6\\8&-12\\\end{array}\right]" align="absmiddle" class="latex-formula">
if it exist.

Mathematics
1 answer:
liraira [26]3 years ago
4 0

Answer:

D

Step-by-step explanation:

If there is a 2x2 matrix as  \left[\begin{array}{ccc}a&b\\c&d\\\end{array}\right]

The determinant is given by  \frac{1}{ad-bc}\left[\begin{array}{ccc}d&-b\\-c&a\\\end{array}\right]

<em>Now, if we calculate the value of "ad - bc", we see that:</em>

(-4)(-12)-(8)(6)=0

We can't calculate the inverse, the inverse doesn't exist. The answer is D.

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If f(x) = 2x + 3 and g(x) = 3x - 9, find (f + g)(x).
coldgirl [10]

Answer:

5x-6

Step-by-step explanation:

f(x) = 2x + 3

g(x) = 3x - 9

f(x) + g(x) = 2x + 3  + 3x-9

               = 5x-6

5 0
3 years ago
Use substitution to solve the<br> following system of equations.<br> - 4y - 5x = 30 AND x= y + 3
IRISSAK [1]

Answer:

The solution to the system of equations is y = -5 and x = -2.

Step-by-step explanation:

The question tells us to use substitution to solve the system.  This means that the given value for x (in terms of y) should be substituted into the other equation.  This is modeled below:

-4y - 5x = 30

-4y - 5(y+3) = 30

Next, we should use the distributive property to simplify the left side of the equation.

-4y -5y - 15 = 30

The next step is to combine like terms on the left side of the equation.

-9y - 15 = 30

Then, we can add 15 to both sides of the equation.

-9y = 45

Finally, we can divide both sides of the equation by -9.

y = -5

To find the value for x, we substitute in the value we just found for y into either of our original equations.

x = y + 3

x = -5 + 3

x = -2

Therefore, the correct answer is y = -5 and x = -2.

Hope this helps!

3 0
3 years ago
Jo's collection contains US, Indian and British stamps. If the ratio of US to Indian stamps is 5 to 2 and the ratio of Indian to
andreev551 [17]

Answer:(E). 25:2

Step-by-step explanation:

First ratio:

Us : India is 5 : 2

Second ratio

India : British is 5 : 1

multiply(5:2) by 5 and multiply (5:1) by 2 to balance the India stamps.

Therefore now

Us : India is 25 : 10

India : British is 10 : 2

The ratio of us : British is 25:2

5 0
3 years ago
1. Point P is between points F and G. The distance between points F and P
Ivenika [448]

Answer:

Point P is in between points F and G.

Now, here we do not have the actual locations of F and G, so i will answer this in a general way.

Suppose that F is located at 0 and G is located at some value A.

Then the distance FG = A - 0 = A.

Now, the distance between F and P is:

Distance  = (1/4)*FG = A/4

Then the location of P is equal to the location of F plus A/4

P = 0 + A/4

Now, writing this in a more general way:

P = F + FG/4

8 0
3 years ago
Simplify (-6)^5 how do you simplify the the exponent expression
Papessa [141]
X^m means x times itself m times

(-6)^5 means -6 time itself 5 times
simplify it says
remember that
(mn)^x=(m^x)(n^x)
undistribute the -1
(-6)^5=(-1)^5 times (6^5)
(-1)^5=-1 since it is odd power
can be simplified to
-6^5
(note, -6^5 vs (-6)^5 PEMDAS)
5 0
3 years ago
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