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17 hours ago

Which set of ordered pairs represents a function?

Mathematics

2 answers:

PIT_PIT [3.9K]16 hours ago

5 0

Answer:

{(3, –1), (7, 1), (–6, –1), (9, 1), (2, –1)}

Step-by-step explanation:

For the given collection to be classified as a function, each x-coordinate must correspond to just a single y-coordinate, meaning each x-value must have a distinct y-value.

In this instance, the image illustrates the graphical depiction of each set, distinguished by color.

{(2, –2), (1, 5), (–2, 2), (1, –3), (8, –1)} -> Green points

{(3, –1), (7, 1), (–6, –1), (9, 1), (2, –1)} -> Blue points

{(6, 8), (5, 2), (–2, –5), (1, –3), (–2, 9)} -> Black points

{(–3, 1), (6, 3), (–3, 2), (–3, –3), (1, –1)} -> Red points

The graph reveals that the only set possessing a single y-value for each x-value is the second one (Blue points).

lawyer [4K]16 hours ago

5 0

A function is defined as a relationship where every element from the set of first components in ordered pairs correlates to exactly one element from the set of second components.

{(2, –2), (1, 5), (–2, 2), (1, –3), (8, –1)} - this is a function

{(3, –1), (7, 1), (–6, –1), (9, 1), (2, –1)} - this is also a function

{(6, 8), (5, 2), (–2, –5), (1, –3), (–2, 9)} - this represents a function

{(–3, 1), (6, 3), (–3, 2), (–3, –3), (1, –1)} - this does not qualify as a function

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Tire pressure monitoring systems (TPMS) warn the driver when the tire pressure of the vehicle is 28% below the target pressure.

Zina [3914]

Answer:

Step-by-step explanation:

Hello!

The monitoring system alerts the driver when the vehicle's tire pressure drops to 28% below the set target pressure.

Let X be: the target tire pressure for a particular vehicle (measured in pounds per square inch)

X= 28 psi

When the monitoring device alerts at a pressure of 28% below the designated target: X-0.28X

Initially, calculate 28% of 28 psi.

28*0.28= 7.84

Next, subtract this 28% calculation from the target pressure:

28 - 7.84= 20.16

The TPMS will activate its warning at 20.16 psi.

Assuming X~N(μ;σ²)

μ= 28 psi (as the average indicates accurate targeting, this represents the expected tire pressure)

σ= 3 psi

P(X≤20.16)

The standard normal distribution is available in tables. To convert any random variable X with a normal distribution, one subtracts its mean and divides by the standard deviation.

To compute the desired probabilities, the variable value undergoes transformation to fit the standard normal distribution Z, after which standard normal tables are referenced to find probabilities.

Z= (X-μ)/σ= (20.16-28)/3= -2.61

Now locate the probability corresponding to the Z value using the Z-table. Given the negative result, refer to the left entry; in the first column, find the integer and first decimal for -2.6- and in the first row locate the second decimal for -.-1

The probability link for -2.61 is:

P(Z≤-2.61)= 0.005

The task is to determine the likelihood of encountering a tire at random within the recommended inflation range, expressed as:

P(30≤X≤26)= P(X≤30)-P(X≤26)

Determine both Z values:

Z= (30-28)/3= 0.67

Z= (26-28)/3= -0.67

P(Z≤0.67)-P(Z≤-0.67)= 0.749 - 0.251= 0.498

<pThe calculated probability of a tire being inflated within the suggested range is 0.498.

I hope this information is useful!

5 0

10 days ago

60 more than nine times a number is the same as two less than 10 times the number what is the number

PIT_PIT [3919]

Let's tackle your equation step-by-step.

9x+60=10x−2

Step 1: Subtract 10x from each side.

9x+60−10x=10x−2−10x

−x+60=−2

Step 2: Subtract 60 from each side.

−x+60−60=−2−60

−x=−62

Step 3: Divide both sides by -1.

−x /−1 = −62 /−1

x=62

I hope this was helpful! Please consider giving me Brainliest!!

4 0

17 hours ago

A small-appliance manufacturer finds that the profit P (in dollars) generated by producing x microwave ovens per week is given b

PIT_PIT [3919]

Answer:

The amount of ovens that must be produced in a week to earn a $1610 profit is 70.

Step-by-step explanation:

Given:

A small-appliance manufacturer determines the profit P (in dollars) from producing x microwave ovens weekly by the formula:

$P=\frac{1}{10}x(300-x)$

with 0 ≤ x ≤ 200.

The target profit is $1610

So, set P = 1610, then solve for x:

$1610=\frac{1}{10}x(300-x)$

Multiply both sides by 10:

$1610\cdot \:10=\frac{1}{10}x\left(300-x\right)\cdot \:10$

$16100=x\left(300-x\right)$

$16100=300x-x^2$

$-x^2+300x-16100=0$

Next, factor the quadratic:

$(x-70)(x-230)=0$

Solving for x gives:

$x=70,x=230$

Since x=230 is outside the domain 0 ≤ x ≤ 200, we discard it.

Hence, the valid solution is x=70.

Therefore, to achieve a $1610 profit, the manufacturer must produce 70 ovens weekly.

7 0

14 days ago

Which would best display the following data if you wanted to display the numbers which are outliers as well as the mean? [4, 1,

AnnZ [3877]

Organizing the data in increasing order to find the outlier and compute the mean

Detailed explanation:

The provided data consists of: [4, 1, 3, 10, 18, 12, 9, 4, 15, 16, 32]

Arranging it in ascending sequence

[1, 3, 4, 4, 9, 10, 12, 15, 16, 18, 32 ]

The outlier is identified as 32

Calculating the mean;

Mean=total of data set/quantity of data set

Total= 1 + 3+ 4+ 4+ 9+ 10+ 12+ 15+ 16+ 18+ 32=124

Quantity of data set=11

Mean=124/11=11.27

3 0

17 days ago

If f(x)=2x+1f(x)=2x+1f, left parenthesis, x, right parenthesis, equals, 2, x, plus, 1 and g(x)=x^2+7g(x)=x 2 +7g, left parenthes

Inessa [3907]

Answer:

The composite function;

f(g(x) = 2x^2 + 15

Step-by-step explanation:

Given f(x) = 2x + 1 and g(x) = x^2 + 7;

we are tasked with calculating f(g(x))

This represents a composite function where we substitute g(x) into f(x)

Consequently, we find

f(g(x)) = 2(x^2 + 7) + 1

f(g(x)) = 2x^2 + 14 + 1

f(g(x)) = 2x^2 + 15

5 0

11 days ago