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3 years ago

What is the graph of the solution set of b-4>= -1

1 answer:

6 0

I'm assuming this is what you meant!

Rewrite the problem: B - 4 > = -1

B > 3
+ 3➡+3
__ ___
3b 9

Take off the 3

This is your plot ➡B - 3.0 > 0

We have one solution in this problem!

B > 3

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

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

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

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

$=\frac{1}{\det \begin{pmatrix}4&3\\ 3&6\end{pmatrix}}\begin{pmatrix}6&-3\\ -3&4\end{pmatrix}$

$\mathrm{Find\:the\:matrix\:determinant\:according\:to\:formula}:\quad \det \begin{pmatrix}a\:&\:b\:\\ c\:&\:d\:\end{pmatrix}\:=\:ad-bc$

$4\cdot \:6-3\cdot \:3=15$

$=\frac{1}{15}\begin{pmatrix}6&-3\\ -3&4\end{pmatrix}$

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

Therefore, the inverse of given matrix is

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

4 0

3 years ago

X+3y=5 -2x-6y=-10 Solve using elimination

RSB [31]

Slimination
multiply first equaiton by 2
2x+6y=10
add to second equiaotn
2x-2x+6y-6y=10-10
0=0
this is true so therfor they are the same equaiton

so solve
x+3y=5
3y=-x+5
y=-1/3x+5/3

subsituter values for x and get valuse for y

if x=2 then y=1

3 0

3 years ago

A school is looking to cater an event by having a food truck. Food truck A will charge $1.50 for each item sold and a fee of $50

Ganezh [65]

Answer:

40 items

Step-by-step explanation:

I used the equation 1.5x+50=2.75x to find the answer. If the school were to buy 40 items from either truck, they would both amount to 110.

4 0

2 years ago

198round to the nearest tens and hundreds

Xelga [282]

198 round to the nearest hundreds is 200
198 round to the nearest tens is 200 too

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3 years ago

To solve 5/7 - 2/n = 1/21

Usimov [2.4K]

Answer:

the answer is n=3

Step-by-step explanation:

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3 years ago