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Vadim26 [7]
3 years ago
10

Need the calculations please

Mathematics
1 answer:
o-na [289]3 years ago
6 0
I believe the answer is D.


I replaced the variables with the coordinates. 3<3+1
3<4
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Rewrite the system of linear equations as a matrix equation AX = B.
iren2701 [21]

Answer:

\left[\begin{array}{ccc}1&2&5\\1&1&1\\4&6&5\end{array}\right]*\left[\begin{array}{ccc}x1\\x2\\x3\end{array}\right]=\left[\begin{array}{ccc}5\\6\\7\end{array}\right]

Step-by-step explanation:

Let's find the answer.

Because we have 3 equations and 3 variables (x1, x2, x3) a 3x3 matrix (A) can be constructed by using their respectively coefficients.

Equations:

Eq. 1 : x1 + 2x2 + 5x3 = 5

Eq. 2 : x1 + x2 + x3 = 6

E1. 3 : 4x1 + 6x2 + 5x3 = 7

Coefficients for x1 ; x2 ; x3

From eq. 1 : 1 ; 2 ; 5

From eq. 2 : 1 ; 1 ; 1

From eq. 3 : 4 ; 6 ; 5

So matrix A is:

\left[\begin{array}{ccc}1&2&5\\1&1&1\\4&6&5\end{array}\right]

And the vector of vriables (X) is:

\left[\begin{array}{ccc}x1\\x2\\x3\end{array}\right]

Now we can find the resulting vector (B) using the 'resulting values' from each equation:

\left[\begin{array}{ccc}5\\6\\7\end{array}\right]

In conclusion, AX=B is:

\left[\begin{array}{ccc}1&2&5\\1&1&1\\4&6&5\end{array}\right]*\left[\begin{array}{ccc}x1\\x2\\x3\end{array}\right]=\left[\begin{array}{ccc}5\\6\\7\end{array}\right]

7 0
3 years ago
The function f(t)= 5 tan 2 t, does not have an amplitude and has a period of π.
trasher [3.6K]

ANSWER

False

EXPLANATION

The tangent function has no amplitude because it is not bounded.

The given tangent function is

f(t) = 5 \tan(2t)

This is of the form

f(t)=a tan(bt)

The period is given by

T =  \frac{\pi}{ |b| }

T =  \frac{\pi}{ |2| }  =  \frac{\pi}{2}

The first statement is true but the second is false.

Hence the whole statement is false.

8 0
3 years ago
Read 2 more answers
Evaluate the expression:<br><br> for y = 2 + 3x when x=4. What does y=?
lora16 [44]

Answer:

y = 14

Step-by-step explanation:

Plug in 4 as x into the equation:

y = 2 + 3x

y = 2 + 3(4)

Simplify:

y = 2 + 12

y = 14

So, when x = 4, y = 14.

4 0
3 years ago
The area of the triangle is 24 feet.
Aleksandr-060686 [28]
Does anybody know the answer 
4 0
3 years ago
T=2π√l/g. Make l subject of the formula​
Aliun [14]

Answer:

l = gt²/(2π)²

Step-by-step explanation:

if  T = 2π√l/g

squaring both sides

(T)² = (2π)² × (√l/g)²

T² =4π² × l/g

T² = 4π²l/g

using cross multiplication techniqes

gT² =  4π²l

divede both sides by " 4π²"

gT²/4π² =4π²l/4π²

gT²/4π² =l

l = gT²/(2π)²

that is the final answer.

4 0
3 years ago
Read 2 more answers
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