Select all the relations that represent a function.
1. (1, 3), (2, 5), (2, 7) (4,9)
2. (1, 3), (2, 5), (3, 7) (4,9)
3. (1, 3), (1,5), (1, 7) (4, 9)
4. (1,3), (2, 3), (3, 3) (4, 3)
5. (1, 2), (2, 5), (2, 1) (4, 5)

Answer:

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Answer:

Intersection

Step-by-step explanation:

The intersection of two set A and B is defined as the elements which can be found in both set A and set B.

For instance :

A = {1, 3, 5, 7, 9, 11}

B = {2, 4, 6, 7, 8, 9, 10}

The intersection of the two sets A and B denoted as ;

AnB = {7, 9}

Answer:

4, 6/9    sry if wrong

Step-by-step explanation:

Answer:

B - The values of both x and y will be real numbers greater than or equal to 0.

The answer choice that best describes the values of x and y is B - The values of both x and y will be real numbers greater than or equal to 0.

Given that peaches are being sold for $2 per lb.

If we define x as the number of pounds that you buy, and y as the cost of these peaches, we can write the function:

y = $2*x

Therefore, the best description of the values of x and y is found in option B. The value of x can be any real number greater than or equal to 0, but the value of y must be an integer greater than or equal to 0.

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Answer: 3.75

Step-by-step explanation:

[tex]b = 5\\c=6.25\\a^{2} + b^{2} = c^{2} \\a^{2} +5^{2} = 6.25^{2} \\a^{2} + 25 = 39.0625\\a^{2} = 14.0625\\\sqrt{a^{2}} =\sqrt{14.0625} \\a = 3.75[/tex]

The missing side length is 3.75

Step-by-step explanation:

AB = 72 so, then FB would be half of that

so 72 divided by 2 would be 36

5x+1=36 then do substitution

-1 from both sides (from +1 you gotta do the inverse)

5x = 35

divide 5 from both sides because in between 5 and x is a times so the inverse of that is divide

x = 7

Answer:

A = 2167.73 cm²

Step-by-step explanation:

Given that,

A trailer ramp is in the shape of a triangular prism.

the height of the ramp, h = 14 inches

The volume of the ramp, V = 4704 inches²

We need to find the area of the base of the trailer ramp.

The volume of the triangular prism is given by :

[tex]V=A\times h[/tex]

A is area of base and h is height

[tex]A=\dfrac{V}{h}\\\\A=\dfrac{4704}{14}\\\\A=336\ \text{inches}^2[/tex]

or

A = 2167.73 cm²

So, the area of the base of the ramp is 2167.73 cm².

Answer:5/9

Step-by-step explanation:

4/9+1/9

add 1 to 4

5/9

no because you are not distributing numbers that multiply with each other and form new expressions

Answer:

hm I'm not sure but you solve it like this

Step-by-step explanation:

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

remove unnecessary parenthesis

6x+3+(5x-4)

collect like terms

11x+3-4

answer :

11x-1

Answer:

k = i√ 5 , -i√ 5

Step-by-step explanation:

3 + kx^2 + 2 = ?

3 + k(1)^2 + 2 = ?

5 + k(1)^2 = ?

5 + k^2 = ?

k^2 = -5

k = i√ 5 , -i√ 5

We know these triangles are congruent with the missing side, N would be equal to 15.

Two triangles are said to be congruent if the length of the sides is equal, a measure of the angles are equal and they can be superimposed.

We know these triangles are congruent.

To find the missing side, N

ΔABC ≅ΔQRS

AC/QS = BC/RS

2/5 = 6/n

n = 6 x 5/2

n = 30/2

n = 15

Thus, the value of N is 15.

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Answer:5.25

Step-by-step explanation:

Answer:

[tex]0.109\ \text{acres per pound}[/tex]

Step-by-step explanation:

Given that,

It takes 91 pounds of seed to completely plant a 10-acre field.

We need to find how many acres can be planted per pound of seed. Let it is x. It can be calculated by dividing acres to pounds per seeds.

[tex]x=\dfrac{10}{91}\\\\=0.109\ \text{acres per pound}[/tex]

So, the required answer is [tex]0.109\ \text{acres per pound}[/tex].

Answer:

63

Step-by-step explanation:

7(4+x)

Distribute: 28 + 7x

Substitute: 28 + 7(5)

Simplify: 28 + 35

Simplify: 63

Answer:

14 × (19 + 6)

hope it helps

The expression represents the total number of cans of beans Mr. Jenkins is, (19+6)×14, So Option B is correct.

An expression is a sentence with at least two numbers or variables having mathematical operation. Math operations can be addition, subtraction, multiplication, division.

For example, 2x+3

Given that,

Mr. Jenkins has 19 cases of beans

He also has 6 cases of beans in the stock room

There are 14 cans of beans in each case

Expression for total number of beans = ?

Total number of beans  = Total number of cases ×beans in each case

Total number of beans = (beans in grocery store+beans in stock room)×14

Total number of beans = (19 +6) × 14

Hence, the expression is  (19 +6) × 14

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Answer:

option is B)

Step-by-step explanation:

2x is a perfect square. but x is not a perfect square, this brings us to the conclusion tht prob x is 2.

2x = 4

hence correct option is B) 4x is a perfect square, as 4x4=16, which is a perfect square...

Answer: "reduced by a factor of One-third."

Step-by-step explanation:

Suppose that the original magazine has a length L and a width W.

If it is photocopied using a scale factor of K, then the measures of the photocopy will be:

length = K*L

Width = K*W

In this case, the scale factor is K = 1/3, then the measures of the photocopy will be:

length = (1/3)*L = L/3

Width = (1/3)*W = W/3

For usual notation:

When k > 1, we have an enlargement by a factor k

when 0 < k < 1, we have a reduction by a factor k

in this case, k = 1/3, then:

We have a reduction by a factor of 1/3

The correct option is:

"reduced by a factor of One-third."

Answer: D-reduced by a factor 1/3

Step-by-step explanation:

got it correct on edge 2021

Answer:

x = 4

Step-by-step explanation:

3(4x - 7) = 27

distribute the 3

(3 * 4x) + (3 * -7) = 27

12x + (3 * -7) = 27

12x - 21 = 27

add 21 to both sides of the equations

12x - 21 + 21 = 27 + 21

12x = 27 + 21

12x = 48

divide both sides by 12

12x/12 = 48/12

x = 48/12

x = 4/1

x = 4

Answer:

B can I please get Brainliest

Step-by-step explanation:

Answer:

c. 4 cm, 6 cm, 10 cm

Step-by-step explanation:

To represent a right triangle, you would need to use the Pythagorean theorem to find out which one makes up a right triangle and which one doesn't.  6^2 and 8^2 together make up 100 or 10^2 in which A isn't your choice.  12^2 and 35^2 together make up 1369 or 37^2 in which B also isn't your choice.  10^2 and 24^2 together make up 676 or 26^2 in which D isn't your choice as well.  The final option C makes up 7.21 when square rooted in which it is not represented by the side lengths of a right triangle.

Answer:SEE BELOW

Step-by-step explanation:

Average the X and Y coordinates (X,Y)

X = (-8 + 8)/2 = 0

Y = (-9 + 3)/2 = -3

(X,Y) = (0,-3)

Step-by-step explanation:

[tex] \underline{ \underline{ \text{Given \: points}}} : [/tex]

[tex] \underline{ \underline{ \text{To \: find}}} : [/tex]

[tex] \underline{ \underline{ \text{Solution}}} : [/tex]

Let the point G ( -8 , -9 ) be ( x₁ , y₁ ) & H ( 8 , 3 ) be ( x₂ , y₂)

[tex] \boxed{ \sf{Midpoint = (\frac{x_{1} + x_{2}}{2}} \: , \frac{y_{1} + y _{2}}{2} )}[/tex]

⟶ [tex] \tt{( \frac{ - 8 + 8}{2} \:, \frac{ - 9 + 3}{2} ) }[/tex]

⟶ [tex] \tt{( \frac{0}{2} \: , \frac{ - 6}{2}} )[/tex]

⟶ [tex] \tt{(0 \: ,- 3})[/tex]

[tex] \red{ \boxed{ \boxed{ \tt{Our \: final \: answer : \boxed{ \tt{(0 \:, - 3)}}}}}}[/tex]

Hope I helped ! ツ

Have a wonderful day / night ! ♡

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Answer:

[tex]\frac{1}{2\sqrt{5} }[/tex]

Step-by-step explanation:

Let, [tex]\text{sin}^{-1}(\frac{x}{6})[/tex] = y

sin(y) = [tex]\frac{x}{6}[/tex]

[tex]\frac{d}{dx}\text{sin(y)}=\frac{d}{dx}(\frac{x}{6})[/tex]

[tex]\frac{d}{dx}\text{sin(y)}=\frac{1}{6}[/tex]

[tex]\frac{d}{dx}\text{sin(y)}=\text{cos}(y)\frac{dy}{dx}[/tex] ---------(1)

[tex]\frac{1}{6}=\text{cos}(y)\frac{dy}{dx}[/tex]

[tex]\frac{dy}{dx}=\frac{1}{6\text{cos(y)}}[/tex]

cos(y) = [tex]\sqrt{1-\text{sin}^{2}(y) }[/tex]

          = [tex]\sqrt{1-(\frac{x}{6})^2}[/tex]

          = [tex]\sqrt{1-(\frac{x^2}{36})}[/tex]

Therefore, from equation (1),

[tex]\frac{dy}{dx}=\frac{1}{6\sqrt{1-\frac{x^2}{36}}}[/tex]

Or [tex]\frac{d}{dx}[\text{sin}^{-1}(\frac{x}{6})]=\frac{1}{6\sqrt{1-\frac{x^2}{36}}}[/tex]

At x = 4,

[tex]\frac{d}{dx}[\text{sin}^{-1}(\frac{4}{6})]=\frac{1}{6\sqrt{1-\frac{4^2}{36}}}[/tex]

[tex]\frac{d}{dx}[\text{sin}^{-1}(\frac{2}{3})]=\frac{1}{6\sqrt{1-\frac{16}{36}}}[/tex]

                   [tex]=\frac{1}{6\sqrt{\frac{36-16}{36}}}[/tex]

                   [tex]=\frac{1}{6\sqrt{\frac{20}{36} }}[/tex]

                   [tex]=\frac{1}{\sqrt{20}}[/tex]

                   [tex]=\frac{1}{2\sqrt{5}}[/tex]

Answer:

15 feet

Step-by-step explanation:

The ladder is the hypotenuse of a right triangle, with the legs being 9 ft and 12 ft long (see the picture).

To solve for the length of the ladder, use the Pythagorean Theorem.

[tex]9^{2} +12^{2} =c^{2} \\c=\sqrt{9^{2} +12^{2}} \\c=\sqrt{81+144} \\c=\sqrt{225} \\c=15[/tex]

Answer:

24

Step-by-step explanation:

x = 8, y = 3, z = 2

(1/4) x {8[2(3)+3(2)]}

(1/4) x {8(6 + 6)}

(1/4) x {48 + 48} (by distributing)

1/4 x 96

= 24

Answer:

teacher - apple = 2

grapes - students = 29

grapes - total = 33

oranges - teachers = 1

students - total = 75

teachers - total = 7

total - total = 82