What is the range of the relation?

{(2, -5), (1, 4), (-3, 0), (6, 2)}

Responses

{-3, 1, 2, 6}

{-3, 0, 2, 6}

{-5, 1, 2, 4}

{-5, 0, 2, 4}

Answer:

10.7

Step-by-step explanation:

Since this is a right triangle, we can use trig functions to calculate the hypotenuse.

We know the opposite side from the angle labeled 59 degrees.

sin 59 = opp side / hypotenuse

sin 59 = 9.2/x

x = 9.2/ sin 59

x = 10.733

An inequality relating 100n and n³ is 100n ≥ n³ for n ≤ 10 and 100n ≤ n³ for n ≥ 10.

An inequality is comparison of  two values, showing if one is less than, greater than, or simply not equal to another value.

Since 100n and n³ for n = 1, 2, 3, . . . 9, 10, 11 are 100, 200, 300, . . . 900, 1000, 1100 and 1, 8, 27, . . . 729, 1000, 1331 respectively.

Therefore, an inequality relating 100n and n³ will be 100n ≥ n³ for n ≤ 10 and 100n ≤ n³ for n ≥ 10.

Induction hypothesis:

Suppose 100n ≤ k³ for some positive integer k ≥ 10.

We need to show that 100( k + 1 ) ≤ ( k + 1 )³ = k³ + 3k² +3k + 1.

Note 100( k + 1 ) = 100k + 100 ≤ k³ + 100

                                                 ≤ k³ + 3k²    (∵ k ≥ 10 )

                                                 ≤ k³ + 3k² + 3k

                                                 ≤ k³ + 3k²+3k + 1

So 100( k + 1 ) ≤ ( k + 1 )³, which is true.

Hence by the principle of mathematical induction, 100n ≤ k³ for every integer  k ≥ 10.

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Answer:

B

Step-by-step explanation:

Answer:

Step-by-step explanation:

106/4 = 26\(\frac{2}{4\\}\) = 26\(\frac{1}{2}\)

Hope this helps!

The volume of the glass must be greater than 9 cubic inches to accommodate the 9 ice cubes.

What is the volume of a cube?

The volume of a cube is given by the formula:

V = s³

where "s" is the length of any side of the cube.

In other words, to find the volume of a cube, we just need to raise the length of any side to the third power.

No, David is not right. If he fits 9 ice cubes, each with a volume of 1 cubic inch, into the glass, then the total volume of the ice cubes is 9 x 1 = 9 cubic inches.

If the glass had a volume of 9 cubic inches, there would be no room for the ice cubes since they would completely fill the glass.

Therefore, the volume of the glass must be greater than 9 cubic inches to accommodate the 9 ice cubes.

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Answer:

it's c

Step-by-step explanation:

when doing expression the x means a unknown number and c doesn't have a number so it's C

Answer: To factorize the expression 6x + 8 fully, we can first look for the greatest common factor (GCF) of the two terms. In this case, the GCF is 2.

Step 1: Factor out the GCF:

2(3x + 4)

Now, we have the expression 3x + 4 inside parentheses. This expression cannot be further factorized since there are no common factors other than 1.

Therefore, the fully factorized form of 6x + 8 is:

2(3x + 4)

Step-by-step explanation:)

The factored expression is:

Step-by-step explanation:

To factor the expression, look at its GCF (greatest common factor).

Clearly the GCF of both terms is 2. So what we do next is we divide both terms by 2 :

The result is :

And now the 2 goes outside the parenthesis:

Hence, the answer is 2(3x + 4).

The graph of the feasible region is attached

From the question, we have the following parameters that can be used in our computation:

\(\left\{ \begin{array}{lr} y + 7x \ge 10 \\ 8y + 2x \ge 20 \\ y + x \ge 4 \\ y + x\le 10 \\ x \ge 0 \\ y \ge 0\end{array}\)

To plot the graph of the feasible region, we plot each inequality in the domain x ≥ 0 and y ≥ 0

Using the above as a guide, the graph is attached

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Answer: y=1.25

Step-by-step explanation:

First things first you have to find what is in the bracket things (i don’t know what it’s called) So 3 - 7 is -4y but since it’s absolute it’s going to be 4y.

So now you’ve got 4y - 10 = -5. Your going to want to eliminate 10 so, subtract 10 to both sides giving you 4y = -5

Lastly to get y by itself you need to divide it by its self so, 4y divided by 4. Do it to both sides. This gives you…

Y = 1.25

Answer:

(4, 11 ) ; (- 4, 27 )

Step-by-step explanation:

Given

f(x) = x² - 2x + 3 → (1)

f(x) = - 2x + 19 → (2)

Substitute f(x) = x² - 2x + 3 into (2)

x² - 2x + 3 = - 2x + 19 ( add 2x to both sides )

x² + 3 = 19 ( subtract 3 from both sides )

x² = 16 ( take square root of both sides )

x = ± \(\sqrt{16}\) = ± 4

Substitute these values into (2) for corresponding values of y

x = 4 : y = - 2(4) + 19 = - 8 + 19 = 11 ⇒ (4, 11 )

x = - 4 : y = - 2(- 4) + 19 = 8 + 19 = 27 ⇒ (- 4, 27 )

Answer:

4

Step-by-step explanation:

The equation is

x^2 - (2x + 8) = 0   where x is the number to be found.

removing the parentheses by distributing the negative:-

x^2 - 2x - 8 = 0

(x - 4)(x +2) = 0

x =  4, -2.

The value of x  must be 4 because it is positive.

In the proportion (5x + 1):3 = (2x + 2):7, the value of x is -1/29.

In the proportion (6x):(4x) = 7, there is no value of x that satisfies the proportion.

To find the value of x in the given proportions, let's solve them one by one:

(5x + 1) : 3 = (2x + 2) : 7

To solve this proportion, we can cross-multiply:

7(5x + 1) = 3(2x + 2)

35x + 7 = 6x + 6

Subtracting 6x from both sides and subtracting 7 from both sides:

35x - 6x = 6 - 7

29x = -1

Dividing both sides by 29:

x = -1/29

Therefore, the value of x in the first proportion is -1/29.

(6x) : (4x) = 7

To solve this proportion, we can simplify the left side:

6x / 4x = 7

Dividing both sides by 2x:

3/2 = 7

This equation is not true, as 3/2 is not equal to 7.

Therefore, there is no value of x that satisfies the second proportion.

In summary, the value of x in the proportion (5x + 1) : 3 = (2x + 2) : 7 is -1/29, and there is no value of x that satisfies the proportion (6x) : (4x) = 7.

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Answer:

the answer is d

Step-by-step explanation:

I took the test on edge

Answer:

D

Step-by-step explanation:

have a good day /night :)

Answer:

5pi/12

105 degrees

Step-by-step explanation:

I can help with the first 2 too many answers in one will get my answer deleted

7pi/12  x 180/pi

7x15=105

Hopes this helps please mark brainliest

Answer:

6x+6x2+3

Step-by-step explanation:

6x2+5x+1+x+2

Combine 5x and x to get 6x.

6x2+6x+1+2

Add 1 and 2 to get 3.

6x2+6x+3

Answer:

20

Step-by-step explanation:

16/x = 80/100

16/x because 16 is your part and you are trying to find your whole (x)

80 is your part and 100 is your whole (this is from percent)

Cross multiply:

1600 = 80x

1600/80 = x

x = 20

Step-by-step explanation:

16×100÷80

=20

THE TOTAL IS 20

Answer:

C)

Step-by-step explanation:

The number of playes can only be 8, 9, 10 ,11 , 12

Step-by-step explanation:

2 is the answer because:

72/2=36

108/2=54

Answer:

2

Step-by-step explanation:

Well divisible means the lowest numbers it can be divided by.

So we can make a chart.

72 -  1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

108 - 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

So besides 1, 2 is the lowest divisible number between 108 and 72.

Answer:

-5 is the answer

Hope it will be helpfull....

Answer:

Find the area of the reactangle: Area = 5 * 6

Then find the area of the three right triangles

(1 * 5) / 2 = Area of top-side triangle

(3 * 5) / 2 = Area of left-side triangle

(2 * 6) / 2 = Area of right-side triangle

Now add all areas of all the triangles and subtract it from the rectangle.

This is the area inside the triangle

Step-by-step explanation:

Answer:

None

Step-by-step explanation:

No solutions exist for the system of equations because the system is illogical: 3x+y=3x+y, but 18≠16.

The absolute value of the Rational number -474/513 is 474/513.

To find the sum of the rational numbers -8/9 and -2/57, you need to have a common denominator. The least common multiple (LCM) of 9 and 57 is 513. So, you can rewrite the fractions with a common denominator:

-8/9 = (-8/9) * (57/57) = -456/513

-2/57 = (-2/57) * (9/9) = -18/513

Now, you can add the fractions:

-456/513 + (-18/513) = (-456 - 18)/513 = -474/513

To find the absolute value of the rational number -474/513, you simply ignore the negative sign and take the value as positive:

| -474/513 | = 474/513

Therefore, the absolute value of the rational number -474/513 is 474/513.

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Answer:

Step-by-step explanation:

Let h and s represent the numbers in the House and Senate, respectively. Then we have ...

  h + s = 88

  h - s = 54

Subtracting the second equation from the first gives ...

  (h +s) -(h -s) = (88) -(54)

  2s = 34 . . . . . simplify

  s = 17 . . . . . . . divide by 2

  h = 88 -17 = 71 . . . . find the other value using the sum equation

There were 71 females in the House of Representatives, and 17 females in the Senate.

Answer:

Option A. x = –5 ± √133 / –6

Step-by-step explanation:

0 = –3x² + 5x + 9

From the above equation the following data were obtained:

Coefficient of x² (a) = –3

Coefficient of x (b) = 5

Constant (c) = 9

Using formula method, the solution to the equation can be obtained as follow:

x = –b ± √(b² – 4ac) / 2a

a = –3

b = 5

c = 9

x = –5 ± √(5² – 4 × –3 × 9) / 2 × –3

x = –5 ± √(25 + 108) / –6

x = –5 ± √133 / –6

Thus, option A gives the correct answer to the question.

Answer:

Trapezoid

Step-by-step explanation:

It's a quadrilateral and it only has one pair of parallel sides.

Answer:

sqrt299

Step-by-step explanation:

Because the loading dock and the ground are perpendicular we know that they are at a 90° angle. Therefore we can use the equation :

a=5

b= ?

c=18

(Then we can move all of the numbers together but what you do to one side you must do to the other)

 Therefore,

 (Now to make b a single variable we must square root both sides)

 Therefore,

Now with all of these as numbers, we can plug this into a calculator *For all of those who have teachers who need EVERY Step see below I continue

  Where  and

(approximately)