Which of the following relations is a function?
{(3,-3), (3, -6), (3,-4)}
{(10,-9), (7, -1). (10.-9)}
O{(-6, -6), (-1, -1), (-6, -8)}
{(1, -6), (-2,-2), (1, -1)}

Using the concepts of domain and range of functions, we have that:

10. The range is y ≥ 2.

11. The domain is all real numbers, the range is y ≤ 3, and it is a function.

12. The domain is (-4,3], and the range is (-5,5).

Hence, for these problems:

10. The range is y ≥ 2.

11. The domain is all real numbers, the range is y ≤ 3, and it is a function.

12. The domain is (-4,3], and the range is (-5,5).

In item 11, we have that it is a function because it has no vertically aligned points, that is, each value of x is associated with only one value of y.

In item 12, the open intervals are due to the open circles at the extremes of the domain and the range on the graph.

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Therefore, if we assume the side length of the square piece of paper is 1 unit, the distance from point P to each side of the piece of paper is 1.74 units.

We know that P is the midpoint of one of the sides of the square piece of paper. We will now use Pythagoras' theorem to determine the distance between point P and the closest edge of the square if we assume that the side length of the square piece of paper is 1 unit.Pythagoras' theorem states that, in a right-angled triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides. a² + b² = c²a and b are the legs, and c is the hypotenuse. Since we're working with a square piece of paper, we know that the distance from point P to each side of the square piece of paper is the same. To simplify the calculation, let's choose one side of the square to be the hypotenuse and the distance between point P and that side to be the leg. Then, because the other two sides are equal, we can multiply the answer by two to get the total distance from point P to each side.Let the side of the square be the hypotenuse. Let the length of the other leg be x.Let the distance between P and the side be y.Using the Pythagorean theorem, we can get:

x² + y² = 1²

= 1x² + y²

= 1

We know that point P is the midpoint of the side of the square piece of paper, so

y = 0.5.

x² + 0.5²

= 1 x² + 0.25

= 1 x²

= 0.75

x = sqrt(0.75)

x = 0.87 (rounded to two decimal places)

We can now multiply this distance by 2 since all the sides are equal. 2 * 0.87 = 1.74

Therefore, if we assume the side length of the square piece of paper is 1 unit, the distance from point P to each side of the piece of paper is 1.74 units.

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Answer:

  k = 3/5

Step-by-step explanation:

You want the value of k that makes 5x² -2x +(2k-1) = 0 have equal roots.

The roots of the quadratic ax²+bx+c=0 will be equal when the discriminant d=b²-4ac is zero. Here, we have a=5, b=-2, c=(2k-1) and the discriminant is ...

  d = b² -4ac = (-2)² -4(5)(2k-1)

  d = 4 -20(2k-1) = 4 -40k +20 = 24 -40k

We want this to be zero, so ...

  0 = 24 -40k

  0 = 3/5 -k . . . . . . divide by 40, reduce the fraction

  k = 3/5

__

Additional comment

The attached graph shows the quadratic is tangent to the x-axis for k=3/5, meaning the roots are equal. They are x = 0.2.

To determine the intervals where the function f(x) = ∫x^10(-t^2 + 2t - 3) dt is increasing, we need to follow these steps:

Step 1:To get the derivative of f(x).
Since f(x) is defined as an integral from 10 to x, we can use the Fundamental Theorem of Calculus. The derivative of f(x) is simply the integrand with x replacing t: f'(x) = -x^2 + 2x - 3
Step 2: To get  the critical points.
To find the critical points, we need to set f'(x) equal to 0 and solve for x: 0 = -x^2 + 2x - 3
Step 3: Solve the quadratic equation.
We can solve this quadratic equation using the quadratic formula, factoring, or other methods. In this case, factoring works: 0 = (x - 3)(-x + 1)
The critical points are x = 3 and x = 1.
Step 4: Test the intervals between the critical points.
Now, we will test the intervals between the critical points to see if f'(x) is positive or negative. This will determine if the function is increasing or decreasing.
Interval 1: x < 1
Choose any number in this interval, such as x = 0, and plug it into f'(x):
f'(0) = -(0)^2 + 2(0) - 3 = -3 (which is negative)
Interval 2: 1 < x < 3
Choose any number in this interval, such as x = 2, and plug it into f'(x):
f'(2) = -(2)^2 + 2(2) - 3 = -3 (which is negative)
Interval 3: x > 3
Choose any number in this interval, such as x = 4, and plug it into f'(x):
f'(4) = -(4)^2 + 2(4) - 3 = -7 (which is negative)
The function f(x) is not increasing in any interval.

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Answer:

yes a triangular prism does have all those features

Answer:

Triangular prism

Step-by-step explanation:

The rectangular sides are called lateral faces. The triangular prism is made up of 2 triangular bases which are congruent to each other, 3 side faces which are in the shape of rectangles that are congruent to each other, along with 9 edges, and 6 vertices

Hope this helps

Answer:

T, S, U

Step-by-step explanation:

Answer:

U S T

Step-by-step explanation:

The largest angle is going to be opposite the longest side. It stands to reason that the two arms that define the enclosed angle (t) have to have their arms stretched further away from each other in order to accommodate T. So T is the largest angle.

By a similar line of reasoning, the second largest angle is opposite the second largest side. S is the second largest angle.

The smallest angle is opposite the smallest side.

\(\stackrel{\textit{2nd equation }\times 2}{\begin{array}{rrrrr} -8x&+&2y&=&8\\ 2(4x&+&8y)&=&2(-4) \end{array}}\qquad \implies \qquad \begin{array}{rrrrr} -8x&+&2y&=&8\\ 8x&+&16y&=&-8\\\cline{1-5} 0&+&18y&=&0 \end{array} \\\\\\ 18y=0\implies y=\cfrac{0}{18}\implies \boxed{y=0} \\\\\\ \stackrel{\textit{we know that}}{4x+8y=-4}\implies 4x+8(0)=-4\implies 4x=-4\implies x\cfrac{4}{-4}\implies \boxed{x=-1} \\\\[-0.35em] ~\dotfill\\\\ ~\hfill \stackrel{\textit{one solution}}{(-1~~,~~0)}~\hfill\)

you'd want to often enough check their slopes first, if the slopes differ, they meet, if equal, they're parallel and either never meet or meet everywhere.

Answer:

m=3n/4

Step-by-step explanation:

4m+2n=5n subtract 2n from both sides

4m= 5n-2n combine like terms

4m=3n divide by 4

m=3n/4

brainliest plz <3

Answer: 9

Step-by-step explanation:

Answer:

Im working on it hold tight!

Step-by-step explanation:

Answer:

hmm Calculator

Step-by-step explanation:

Easily one of the best ways instead of brainly

39 subjects were tested in this simple one-way ANOVA.

The df for F distribution is (treatment df, error df)

Using given information

Treatment df = 7

Error df = 31

Total df= 7+31 = 38

Again, total df = N-1, N= number of subjects tested

Then, N-1 = 38

=> N= 39

One-way ANOVA is typically used when there is a single independent variable or factor and the goal is to see whether variation or different levels of that factor have a measurable effect on the dependent variable.

The t-test is a method of determining whether two populations are statistically different from each other, and ANOVA determines whether three or more populations are statistically different from each other.

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Answer:

20    :l

Step-by-step explanation:

Answer:

20.

Step-by-step explanation:

you add and get 20. boom easy

Answer:

The 6 is in the ten-thousands place

Step-by-step explanation:

6 written as a ten-thousand is 60,000

Answer:

Hi,

Step-by-step explanation:

Let's make group of 3 numbers

1+2-3=0

4+5-6=3

7+8-9=6

...

97+98-99=96

s=1+2-3+....+97+98-99=0+3+6+..+96=3*(0+1+2+3+...+32)

=3*(32+0)*33/2

=1584

\( - 6 {x}^{2} - x - 3\)

\(\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}\)

\(( - 2 {x}^{2} - 5x + 3) + ( - 4 {x}^{2} + 4x - 6) \\ \\ = - 2 {x}^{2} - 5x + 3 - 4 {x}^{2} + 4x - 6 \\ \\Combining \: the \: like \: terms, \: we \: have \: \\ \\ = - 2 {x}^{2} - 4 {x}^{2} - 5x + 4x + 3 - 6 \\ \\ = - 6 {x}^{2} - x - 3\)

\(\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{♡}}}}}\)

Answer:

-6x^2 - x - 3

Step-by-step explanation:

(-2x^2 -5x +3) + (-4x^2 + 4x -6)

open the brackets .Remember while opening the brackets signs also get multiplied .

=-2x^2 -5x +3 - 4x^2 + 4x -6

=-6x^2 -x -3

(minus * minus) sign=plus sign

(minus * plus) sign=minus sign

(plus * plus) sign=plus sign

(minus + minus) sign=plus

(plus + plus) sign=plus sign

Answer: 41/20

Step-by-step explanation:

3/8+(-3/8)=0

4/5+5/4=16/20+25/20

16/20+25/20=41/20

41/20

The 100th term in the sequence 5, 9, 13, 17,.. is term 401.

The arithmetic sequence:

5, 9, 13, 17,...

To find,

Which term of the arithmetic sequence 5, 9, 13, 17,...is 401​.

Concept,

For a given A.P. sequence if the first term is 'a', the common difference is 'd', then the aₙth term is given by:

aₙ = a + (n - 1)d....(1)

Calculation,

Here in the given sequence:

5, 9, 13, 17,..

a = 5, d = 9 - 5 = 4, and aₙ = 401, n = n, substitute in equation (1)

401 = 5 + (n - 1)4

⇒ 396 = (n - 1)4

⇒ n - 1 = 99

⇒ n = 100

Therefore, the 100th term in the sequence 5, 9, 13, 17,.. is term 401.

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Answer:

N/A

Step-by-step explanation:

No figures below.

Answer:

y=2x+4

Step-by-step explanation:

From(0,4)

Equation in slope intercept form

Answer:

23% of 75 is 17.35 ok i hope it helps

the expected value of S^2 is equal to σ^2, demonstrating that S^2 is an unbiased estimator of the population variance.

To show that S^2 is an unbiased estimator of σ^2, we need to demonstrate that the expected value of S^2 is equal to σ^2.

Since the samples are random and taken from a population with a known variance of σ^2, we can express the expected value of S^2 as follows:

E(S^2) = E((20S^2_1 + 10S^2_2 + 8S^2_3)/38)

Using linearity of expectations, we can distribute the expectation operator:

E(S^2) = (20/38)E(S^2_1) + (10/38)E(S^2_2) + (8/38)E(S^2_3)

Since S^2_1, S^2_2, and S^2_3 are sample variances, they are unbiased estimators of σ^2. Therefore, E(S^2_1) = σ^2, E(S^2_2) = σ^2, and E(S^2_3) = σ^2.

Substituting these values into the equation, we get:

E(S^2) = (20/38)σ^2 + (10/38)σ^2 + (8/38)σ^2

Simplifying further, we have:

E(S^2) = (38/38)σ^2

E(S^2) = σ^2

Thus, the expected value of S^2 is equal to σ^2, demonstrating that S^2 is an unbiased estimator of the population variance.

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Answer:

m = -13/10

Step-by-step explanation:

Madison, imagine that you're moving from (-6, 6) to (4, -7) with interest in knowing how much x (the run) and y (the rise) change.

In the first instance, x increases by 10 from -6 and +4.  Simultaneously, y decreases by 13 from 6 to -7.

Thus the slope is m = rise / run = m = -13/10

The critical value for an F-test at α = 2.5% significance with one independent variable and 27 observations is approximately 5.7033. It represents the threshold beyond which we reject the null hypothesis in favor of the alternative hypothesis.

To determine the critical value for an F-test at α = 2.5% significance, we need to know the degrees of freedom associated with the numerator and denominator of the F-statistic.

For an F-test, the numerator degrees of freedom (df1) correspond to the number of groups or treatment conditions minus 1. In this case, since there is only one independent variable, the number of groups is 2 (assuming a standard F-test), so df1 = 2 - 1 = 1.

The denominator degrees of freedom (df2) correspond to the total number of observations minus the number of groups. In this case, we have n = 27 observations and 2 groups, so df2 = 27 - 2 = 25.

Now we can use these degrees of freedom values and the significance level (α) to find the critical value using an F-table or calculator.

Using statistical software or an online calculator, the critical value for an F-test with df1 = 1 and df2 = 25 at α = 2.5% significance is approximately 5.7033 (rounded to four decimal places).

Therefore, the critical value for the F-test at α = 2.5% significance is 5.7033.

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Bank B has a basic fee of $9.95 per month and a bill paying fee of $5.95 per month. It has a limit of 20 checks written per month, with a cost of $1 per bill beyond the limit. The total annual cost for Bank B is $174.40.

To compare the cost of online banking, Tim Worker needs to consider various factors, including the basic monthly fee, bill paying monthly fee, limits on the number of checks written, and cost per bill beyond the limit. The basic fee is the amount charged by the bank for providing access to online banking services.

The bill paying fee is charged for each payment made through the online bill pay service. The limit on the number of checks written is the maximum number of checks that can be written in a given month without incurring additional charges. The cost per bill beyond the limit is the amount charged for each bill payment made beyond the specified limit.

Bank B has a basic fee of $9.95 per month and a bill paying fee of $5.95 per month. It has a limit of 20 checks written per month, with a cost of $1 per bill beyond the limit. To calculate the annual cost for Bank B, we can multiply the basic fee and bill paying fee by 12 and add the cost of any additional bills beyond the limit, multiplied by the cost per bill and the number of months in a year.

The total annual cost for Bank B is $174.40, calculated as follows:

Basic fee = $9.95 * 12 = $119.40

Bill paying fee = $5.95 * 12 = $71.40

Cost of bills beyond limit = $1 * (35 - 20) * 12 = $180

Total cost = $119.40 + $71.40 + $180 = $371.80

However, since the cost per bill beyond the limit is capped at $20 per month, the actual cost is $9.95 * 12 + $5.95 * 12 + $20 * 12 = $174.40.

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Answer:

Triangle ABC is congruent to Triangle DCB because of SSS

Step-by-step explanation:

1.)AB congruent to DC because of given.

2.)BD congruent to CA because of Given

3.)We can say that BC congruent to CB because of Reflexive property.

4.)Triangle ABC is congruent to Triangle DCB because of SSS(1,2,3)

Answer:

$107125.80

working out:

50000x1.115^7=107125.8 (rounded)

Answer:

Third option is the correct answer

\(y = -(2)x+ 3\)

Step-by-step explanation:

Given functions are:

\(y=3(2)x\\ y = 3(3)x\\ y = -(2)x+ 3\\ y = (2)x-3\)

To find:

The function which has a range \(y <3\) ?

Solution:

First of all, let us learn about the terms Domain and Range for a function:

\(y = f(x)\)

Domain is the value of \(x\) which is given as input to the function and gives a valid value of output as \(y\) (i.e. function is defined).

Range of a function is the value \(y\) that comes as output when given a valid value of \(x\) as input.

Now, let us consider the given options above.

Third option is the correct answer.

\(y = -(2)x+ 3\)

As we can see, \((2)x\) is subtracted from 3 so \(y\) will have a value which is lesser than 3.

i.e. range will be \(y <3\).

No other function has such condition present in it.

\(y = -(2)x+ 3\) is the correct answer.