Evaluate f(x)=12x+1 when x=-2,0,and 3

Margaret [11]

Answer: f(x)= 3/2x-2

Step-by-step explanation:

So if you know how to graph on a calculator and put all the points in, it'll give you all the points plotted and when i did that i got

f(x)= 3/2x-2

5 0

3 years ago

Read 2 more answers

Rewrite the expression 4+<img src="https://tex.z-dn.net/?f=%5Csqrt%7B16-%284%29%285%29%7D" id="TexFormula1" title="\sqrt{16-(4)(

Inessa05 [86]

Answer:

$2+i$

Step-by-step explanation:

Given the expression:

$\dfrac{4+\sqrt{16-(4)(5)}}{2}$

To find:

The expression of above complex number in standard form $a+bi$ .

Solution:

First of all, learn the concept of $i$ (pronounced as <em>iota</em>) which is used to represent the complex numbers. Especially the imaginary part of the complex number is represented by $i$ .

Value of $i =\sqrt{-1}$ .

Now, let us consider the given expression:

$\dfrac{4+\sqrt{16-(4)(5)}}{2}\\\Rightarrow \dfrac{4+\sqrt{16-(4\times 5)}}{2}\\\Rightarrow \dfrac{4+\sqrt{16-20}}{2}\\\Rightarrow \dfrac{4+\sqrt{-4}}{2}\\\Rightarrow \dfrac{4+\sqrt{(-1)(4)}}{2}\\\Rightarrow \dfrac{4+\sqrt{(-1)}\sqrt4}{2}\\\Rightarrow \dfrac{4+\sqrt4i}{2} \ \ \ \ \ (\because \sqrt{-1} =i) \\\Rightarrow \dfrac{4+2i}{2}\\\Rightarrow 2+i$

So, the given expression in standard form is $2+i$ .

Let us compare with standard form $a+bi$ so we get $a =2, b =1$ .

$\therefore$ The standard form of

$\dfrac{4+\sqrt{16-(4)(5)}}{2}$

is: $\bold{2+i}$

8 0

2 years ago

A bag contains eight yellow marbles, nine green marbles, three purple marbles, and five red marbles. Two marbles are chosen from

Kryger [21]

Answer:

The expression would give the probability that one marble is yellow and the other marble is red is,

$P(Y\cdot R\ And\ R\cdot Y)=P(Y)P(R)+P(R)P(Y)$

Step-by-step explanation:

A bag contains eight yellow marbles, nine green marbles, three purple marbles, and five red marbles. So in total there are 25 marbles.

Hence,

Probability of getting yellow ball = $P(Y)=\dfrac{8}{25}$

Probability of getting red ball = $P(R)=\dfrac{5}{25}$

Probability that one marble is yellow and the other marble is red is,

$P(Y\cdot R\ And\ R\cdot Y)=P(Y)P(R)+P(R)P(Y)=\dfrac{8}{25}\cdot \dfrac{5}{25}+\dfrac{5}{25}\cdot \dfrac{8}{25}=0.128$

8 0

2 years ago

Read 2 more answers

Consider the following switch statement where x is an int. If x is currently equal to 5, what will the value of x be after the s

Sphinxa [80]

Answer:

x=11

Step-by-step explanation:

The switch case works like an if or if-else, where each of the cases are conditionals. Here we have 7 cases and we know that our variable begins with x=5.

First, it enters to case 5 because of x=5, so x+=3, this means we add 3 to the actual value of the variable ⇒ x=8.

At this point, if there's not break the program continues to the next case, executing the statements until a break or the end on the switch is reached.

In this order, the x = 8 and next we add 1 (case 6) ⇒ x=9. We add 2 (case 7) x+=2 ⇒ x=10. Then we rest 1 (case 8) ⇒ x=9 and then we add 1 again as in case 9 ⇒ x=11.

3 0

3 years ago

A metronome uses an inverted pendulum rod to control tempo. A weight can be slid up the pendulum rod to decrease tempo, or down

Dominik [7]

Answer:

Part 1

Multiply both sides by 2π

2πf = √(g/L)

Square both sides

4π²f²= g/L

Invert both sides

1/(4π²f²) = L/g

Multiply both side by g

g/(4π²f²) = L

We usually write an equation with the subject (L) n the left

L = g/(4π²f²)

________________________

Part 2

Using the above equation with the given values:

L = g/(4π²f²)

. .= 9.8 / (4π² x 1.6²)

. .= 0.097m (= 9.7cm)

________________________

By the way, where it says

“f=1.6 then there are 2 beats a second, or 192 beats per minute (bpm).”

this should say

“f=1.6 then there are 3.2 beats a second, or 192 beats per minute (bpm)”

Step-by-step explanation:

7 0

2 years ago