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2 years ago

If a function rule is 2x – 3, what is the output for the input 3?

Mathematics

2 answers:

anzhelika [568]2 years ago

6 0

Answer:

The function rule can be written as: f(x) = 2x-3

So, when we input 3, we replace all of the x's for 3's and have: f(3) = 2(3)-3.

This simplifies to be: f(3) = 3, meaning that 3 is the output.

Hope this helps!

Alenkasestr [34]2 years ago

6 0

Answer:3

Step-by-step explanation:

The output value is y so set an equation at y=2x-3. Now x is the input value so plug in 3 for x. Two times three is 6 and then you have to subtract three from that. So the output value for an input of 3 is 3.

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in a square garden plot (with an area of 400 sq ft)deer fencing priced at $1.50 per foot is to be installed around the plot. if

mina [271]

We have a square garden of 400 square foot.

The area of a square is:

$A=x^2$

where x: side length.

In this case:

$\begin{gathered} A=400=x^2 \\ x=\sqrt[]{400}=20\text{ ft} \end{gathered}$

The perimeter of the square is the sum of the lengths of the sides of the square. As they are all equal, we can write:

$P=4x=4\cdot20=80\text{ ft}$

The fencing is priced at $1.50 per foot. If we add the 7% sales tax to this price we get:

$C=1.50\cdot(1+0.07)=1.50\cdot1.07=1.605\text{ \$/ft}$

The fencing will be installed in all the perimeter (80 ft).

We can calculate the total cost by multiplying the sales price ($1.605 per foot) and the perimeter (80 ft):

$F=C\cdot P=1.605\frac{\text{\$}}{\text{ft}}\cdot80\text{ ft}=\$128.40$

Answer: the fencing will cost a total of $128.40

8 0

5 months ago

Hi, I’m really confused if anyone could help me out that would mean a lot?:)

marusya05 [52]

Hey there! :)

Answer:

a) 32 sticks.

b) 5n + 2 sticks.

Step-by-step explanation:

Solve this by finding the pattern.

Pattern # 1 = 7 sticks.

Pattern #2 = 12 sticks

Pattern #3 = 17 sticks.

We can see an increase of 5 sticks within each. We can use this to write an equation:

f(n) = 7 + 5(n-1)

***Where n is the term number

You can simplify the equation to become:

f(n) = 7 + 5n - 5

f(n) = 5n + 2.

Use this equation to solve for pattern # 6:

f(6) = 7 + 5(n-1)

f(6) = 7 + 5(5)

f(6) = 7 + 25

f(6) = 32.

6 0

2 years ago

HELP ME PLEASEEEEEEE

scoray [572]

Answer:

It would be in this order:

Types of Quads:

Rectangle

Square

Rhombus

Trapezoid

Type of Triangles:

Equaliteral

Isoceles

Scalene

Step-by-step explanation:

Hope it helps

6 0

2 years ago

What is the probability that a marble chosen at random is

Brums [2.3K]

Answer:

$P=\frac{6}{11}$

Step-by-step explanation:

The probability can be defined as the ratio between the possible events and the total number of outcomes.

In this case, according to the image attached, the total number of outcomes is 11, because they are 11 marbles in total.

Now, the specific event is all shaded marbles or labeled with a multiple of 3. With this specific characteristics 6 marbles, because there are 5 shaded marbles and 6 is a multiple of 3. So, the possible events are 6.

Therefore, the probability is

$P=\frac{6}{11}$

The right answer is the last choice.

4 0

2 years ago

Read 2 more answers

A certain firm has plants A, B, and C producing respectively 35%, 15%, and 50% of the total output. The probabilities of a non-d

Sliva [168]

Answer:

There is a 44.12% probability that the defective product came from C.

Step-by-step explanation:

This can be formulated as the following problem:

What is the probability of B happening, knowing that A has happened.

It can be calculated by the following formula

$P = \frac{P(B).P(A/B)}{P(A)}$

Where P(B) is the probability of B happening, P(A/B) is the probability of A happening knowing that B happened and P(A) is the probability of A happening.

-In your problem, we have:

P(A) is the probability of the customer receiving a defective product. For this probability, we have:

$P(A) = P_{1} + P_{2} + P_{3}$

In which $P_{1}$ is the probability that the defective product was chosen from plant A(we have to consider the probability of plant A being chosen). So: