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4 years ago

6. Lеt f(x) = х - 3 and g(x) = x+ 11. Find f(x) - g(x). (1 point)

Mathematics

1 answer:

Citrus2011 [14]4 years ago

8 0

Answer: -14

Step-by-step explanation:

f(x) = x - 3 --> x - 3

- g(x) = -(x + 11) --> -x - 11

0x - 14 --> -14

NOTE: Your answer choices do not match up unless you are multiplying.

f(x) * g(x)

(x - 3)(x + 11)

= x(x + 11) - 3(x + 11)

= x² + 11x - 3x - 33

= x² + 8x - 33 (Option D)

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4 years ago

(30 POINTS)

Vlad [161]

Answer:

Below

Step-by-step explanation:

Part A:

Like Pasta / Like Rice: A = 20

Like Rice / Do not like Pasta: B = 60

Total: C = 80

Do not like rice / Like Pasta: D = 40

Do not like rice & Pasta: E = 80

Total F = 120

Total G = 60

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Total I = 200

Part B: Using the rule of three:

If 200 represents 100%, then how much 80 represents?

(80 * 100) / 200 = 40%

40% did not like pasta nor rice.

Part C:

From the survey we know that:

30% like rice, and 20% dislike pasta. So yes, the survey reveals a greater dislike for rice.

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3 years ago

(2,1)(3,1)(0,1)(5,1) A: Function B: Not a function

taurus [48]

Answer:

This is a function because there are no repeating x values. Even though there are repeating y values, the x values are the ones that matter and they aren't repeating so it is a function. Also, the x values are the first ones.

Step-by-step explanation:

3 0

3 years ago

An electronics company produces transistors, resistors, and computer chips. Each transistor requires 3 units of copper, 1 unit

padilas [110]

Answer:

An electronics company can be produce 350 transistors and 340 computer chips, they can´t produce resistors.

Step-by-step explanation:

1. We will name the variables for transistors, resistors and the computer chips.

a = Transistors

b= Resistors

c = Computer chips

2. We propose three linear equations, one for the copper, one for the zinc and one for the glass.

$\left \{ {{3a+3b+2c=1730} \atop {a+2b+c=690}}\atop {2a+b+2c=1380}} \right.$

3. We write the matrix form as Ax=d

$A=\left(\begin{array}{ccc}3&3&2\\1&2&1\\2&1&2\end{array}\right)$

$x=\left(\begin{array}{ccc}a\\b\\c\end{array}\right)$

$A=\left(\begin{array}{ccc}1730\\690\\1380\end{array}\right)$

With this formula the solution of x is $x=\frac{d}{A}$ or $x=A^{-1}d$

4. We will find the inverse matrix $A^{-1}$ using the formula:

$A^{-1} = \frac{1}{detA} (C_{A})^{T}$

a. det A

$det A=\left[\begin{array}{ccc}3&3&2\\1&2&1\\2&1&2\end{array}\right] =3*(4-1)-3*(2-2)+2*(1-4)=9-0-6=3$

b. $(C_{A})^{T}$

$C_{A}=\left(\begin{array}{ccc}4-1&.(2-2)&1-4\\-(6-2)&6-4&-(3-6)\\3-4&-(3-2)&6-3\end{array}\right)$

$C_{A}=\left(\begin{array}{ccc}3&.0&-3\\-4&2&3\\-1&-1&3\end{array}\right)$

$(C_{A}) ^T=\left(\begin{array}{ccc}3&0&-3\\-4&2&3\\-1&-1&3\end{array}\right)^T$

$(C_{A}) ^T=\left(\begin{array}{ccc}3&-4&-1\\0&2&-1\\-3&3&3\end{array}\right)$

c. $A^{-1}$

$A^{-1}=\frac{1}{3} \left(\begin{array}{ccc}3&-4&-1\\0&2&-1\\-3&3&3\end{array}\right)$

5. As $x=\frac{d}{A}$ or $x=A^{-1}d$ , the solution of x is:

$x=\frac{1}{3}\left(\begin{array}{ccc}3&-4&-1\\0&2&-1\\-3&3&3\end{array}\right)\left(\begin{array}{ccc}1730\\690\\1380\end{array}\right)$

$x=\frac{1}{3}\left(\begin{array}{ccc}(3*1730)+(-4*690)+(-1*1380)\\(0*1730)+(2*690)+(-1*1380)\\(-3*1730)+(3*690)+(3*1380)\end{array}\right)$

$x=\frac{1}{3}\left(\begin{array}{ccc}1050\\0\\1020)\end{array}\right)$

$X=\left[\begin{array}{ccc}350\\0\\340\end{array}\right]$

Therefore:

a= 350 Transistors

b=0 Resistors

c=340 Computer chips

4 0

3 years ago