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Marta_Voda [28]
3 years ago
12

Explain why the function is discontinuous at the given number

Mathematics
1 answer:
zaharov [31]3 years ago
6 0

Calculator can help you

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John is selling sets of knives and makes a 10% commission on all sales. What would his commission be on the sale of a $3250 set
inn [45]
10% of $3250 would be $325 of commission
8 0
2 years ago
Given: A, B, and C What is the value of X in the matrix equation AX + B = C?
Ksju [112]

Answer:

Option (2)

Step-by-step explanation:

Given expression is, AX + B = C

A=\begin{bmatrix}-3 & -4\\ 1 & 0\end{bmatrix}

B=\begin{bmatrix}-7 & -9\\ 4 & -1\end{bmatrix}

C=\begin{bmatrix}-42 & -20\\ 5 & 4\end{bmatrix}

AX + B = C

AX = C - B

C - B = \begin{bmatrix}-42 & -20\\ 5 & 4\end{bmatrix}-\begin{bmatrix}-7 & -9\\ 4 & -1\end{bmatrix} = \begin{bmatrix}-42+7 & -20+9\\ 5-4 & 4+1\end{bmatrix}

C - B = \begin{bmatrix}-35 & -11\\ 1 & 5\end{bmatrix}

Let  X=\begin{bmatrix}a & b\\ c & d\end{bmatrix}

AX = \begin{bmatrix}-3 & -4\\ 1 & 0\end{bmatrix}\times \begin{bmatrix}a & b\\ c & d\end{bmatrix}

     = \begin{bmatrix}(-3a-4c) & (-3b-4d)\\ a & b\end{bmatrix}

Since AX = C - B

\begin{bmatrix}(-3a-4c) & (-3b-4d)\\ a & b\end{bmatrix}=\begin{bmatrix}-35 & -11\\ 1 & 5\end{bmatrix}

Therefore, a = 1, b = 5

(-3a - 4c) = -35

3(1) + 4c = 35

3 + 4c = 35

4c = 32

c = 8

And (-3b - 4d) = -11

3(5) + 4d = 11

4d = -4

d = -1

Therefore, Option (2). X = \begin{bmatrix}1 & 5\\ 8 & -1\end{bmatrix} will be the answer.

7 0
3 years ago
Which model represents 2 x 0.9?
rjkz [21]

Answer:

<h2>Model B</h2>

Step-by-step explanation:

The model needs to show 1.8 because 2 x 0.9 = 1.8. Model B is the only model that shows this.

<em>Hope this helps</em>

5 0
3 years ago
Read 2 more answers
Plz prove this for me.....
s344n2d4d5 [400]

I've answered your other question as well.

Step-by-step explanation:

Since the identity is true whether the angle x is measured in degrees, radians, gradians (indeed, anything else you care to concoct), I’ll omit the ‘degrees’ sign.

Using the binomial theorem, (a+b)3=a3+3a2b+3ab2+b3

⇒a3+b3=(a+b)3−3a2b−3ab2=(a+b)3−3(a+b)ab

Substituting a=sin2(x) and b=cos2(x), we have:

sin6(x)+cos6(x)=(sin2(x)+cos2(x))3−3(sin2(x)+cos2(x))sin2(x)cos2(x)

Using the trigonometric identity cos2(x)+sin2(x)=1, your expression simplifies to:

sin6(x)+cos6(x)=1−3sin2(x)cos2(x)

From the double angle formula for the sine function, sin(2x)=2sin(x)cos(x)⇒sin(x)cos(x)=0.5sin(2x)

Meaning the expression can be rewritten as:

sin6(x)+cos6(x)=1−0.75sin2(2x)=1−34sin2(2x)

3 0
3 years ago
Mr. Goldstein is 4 times as old as his daughter Anna. In 4 years, he will be 3 times as old as Anna. How old is Anna now?
trasher [3.6K]

Lets Anna's age = A

Mr. Goldstein age = G

Mr. Goldstein is 4 times as old as his daughter Anna.

So G= 4A

In 4 years, he will be 3 times as old as Anna

we add 4 with Both their ages

G + 4  = three times of A + 4

G + 4= 3(A + 4)

We know G= 4A, replace it in above equation

4A + 4= 3(A + 4)

4A + 4= 3A + 12

Subtract 3A from both sides

A + 4 = 12

Subtract 4 from both sides

A = 8

So Anna's age = 8 years


6 0
3 years ago
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