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3 years ago

What is the answer to the problem above in the picture

Mathematics

1 answer:

lana66690 [7]3 years ago

5 0

Answer: Third option.

Step-by-step explanation:

Some transformations for a function f(x) are shown below:

If $f(x)+k$ , the function is translated "k" units up

If $f(x)-k$ , the function is translated "k" units down.

If $f(x+k)$ , the function is translated "k" units left.

If $f(x-k)$ , the function is translated "k" units right.

In this case you have the following function:

$f(x)=3x+2$

And you know that the function g(x) is obtained by translating the function f(x) 5 units down and 3 units left; therefore, you can conclude that g(x) is:

$g(x)=3(x+3)-3$

Finally, simplifying, you get that this is:

$g(x)=3x+9-3\\\\g(x)=3x+6$

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F(x) = x2 What is f(x) + f(x) + f(x)?

DaniilM [7]

Answer:

3x²

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Terms/Coefficients
Functions
Function Notation

Step-by-step explanation:

Step 1: Define

[Given] f(x) = x²

[Solve] f(x) + f(x) + f(x)

Step 2: Find

Combine like terms: 3f(x)
Substitute in function: 3(x²)
Multiply: 3x²

4 0

3 years ago

While Flinn was starting the fire, his friends were collecting firewood. Flinn has 5 sticks. If he puts 3 sticks in the fire eve

a_sh-v [17]

7m - 3m + 5 = 45

4m + 5 = 45

45-5 = 40

4m = 40

40/4

m = 10 minutes

6 0

3 years ago

A number divided by three less two is at most two

Marina CMI [18]

x ≤ 12

Solution:

Let us take the number be x.

A number : x

A number divided by three : $$\frac{x}{3}$

A number divided by three less two : $$\frac{x}{3}-2$

A number divided by three less two is at most two : $$\frac{x}{3}-2\leq 2$

Now, simplify the inequality,

$$\Rightarrow\frac{x}{3}-2\leq 2$

Add 2 on both sides of the inequality,

$$\Rightarrow\frac{x}{3}-2+2\leq 2+2$

$$\Rightarrow\frac{x}{3}\leq 4$

Multiply by 3 on both sides of the equation,

$$\Rightarrow\frac{x}{3}\times3\leq 4\times3$

$$\Rightarrow x\leq 12$

Hence x ≤ 12.

5 0

3 years ago

The television show CSI: Shoboygan has been successful for many years. That show recently had a share of 18, meaning that among

jeyben [28]

Answer:

(a) The value of P (None) is 0.062.

(b) The value of P(at least one) is 0.938.

(d) The event is not unusual.

Step-by-step explanation:

Let X = number of households watching the show.

The probability of the random variable x is, P (X) = p = 0.18.

The sample selected for the survey is of size, n = 14

The random variable X follows a Binomial distribution with parameter n = 14 and p = 0.18.

The probability of a Binomial distribution is computed using the formula:

$P(X=x)={n\choose x}p^{x}(1-p)^{n-x};\ x=0,1,2,...$

(a)

Compute the probability that none of the households are tuned to CSI: Shoboygan as follows:

$P(X=0)={14\choose 0}(0.18)^{0}(1-0.18)^{14-0}=1\times1\times0.06214=0.062$

Thus, the value of P (None) is 0.062.

(b)

Compute the probability that at least one household is tuned to CSI: Shoboygan as follows:

P (X ≥ 1) = 1 - P (X < 1)

= 1 - P (X = 0)

$=1-0.062\\=0.938$

Thus, the value of P(at least one) is 0.938.

(c)

Compute the probability that at most one household is tuned to CSI: Shoboygan as follows:

P (X ≤ 1) = P (X = 0) + P (X = 1)

$={14\choose 0}(0.18)^{0}(1-0.18)^{14-0}+{14\choose 1}(0.18)^{1}(1-0.18)^{14-1}\\=0.062+0.191\\=0.253$

Thus, the value of P(at most one) is 0.253.

(d)

An event that has a very low probability of occurrence is known as an unusual event.

The probability of the event "at most one household is tuned to CSI: Shoboygan" is 0.253.

This probability value is not low.

Hence, the event is not unusual.

5 0

3 years ago

PLS HELP ASAP. NO LINKS When z= 9, the value of z2 + 1 is

elena55 [62]

Answer is 82

substitute z for 9

9^2 = 81+ 1= 82

6 0

3 years ago