Is the following relation a function

Answer:

-42 + -43

-40 + -40=  -80

-2 + -3= -5

To use the distributive property and mental math to find 5 times 8.9, break down 8.9 into 8 and 0.9, multiply each by 5, and sum the products to get 44.5.

The solution obtained is,

To find the product of 5 and 8.9 using the distributive property and mental math, we can break down 8.9 into 8 and 0.9 for easier multiplication. Thus, 5(8 + 0.9) = (5 × 8) + (5 ×0.9). Calculating each part separately, we get 40 and 4.5. Finally, by adding these two products together, we find that 5(8.9) equals 40 + 4.5, which is 44.5.

Answer:

For the length of time less than 6 hours cost less to hire Hanks movers

Step-by-step explanation:

Let

x -----> the time in hours

y ----> the total cost in dollars

we know that

Acme movers

[tex]y=30x+150[/tex] ----> equation A

Hanks movers

[tex]y=55x[/tex] ----> equation B

Equate equation A and equation B and solve for x

[tex]55x=30x+150[/tex]

[tex]55x-30x=150[/tex]

[tex]25x=150[/tex]

[tex]x=6\ hours[/tex]

That means-----> For x= 6 hours The cost in both companies is the same

Verify

For x=6 hours

Acme movers

[tex]y=30(6)+150=\$330[/tex]

Hanks movers

[tex]y=55(6)=\$330[/tex]

If x < 6 hours ----> It cost less to hire Hanks movers

If x > 6 hours ----> It cost less to hire Acme movers

therefore

For the length of time less than 6 hours cost less to hire Hanks movers

Answer:.964

Step-by-step explanation:

Answer:

C I think

Step-by-step explanation:

Supplementary angles are angles that equal 180 degrees. So, we have 71 degrees. Subtract 180-71= 109. That is how I figured it out. Forgive me in advance if it is wrong.

Hope this helps!!!

Brady

Answer:

Step-by-step explanation:

(a) A graph's domain is the set of X values that can be provided to the graph. Based on the picture, we can provide any values to the graph, so the domain is (-∞, ∞)

(b) A graph's range is the set of Y values that can be returned from the graph. Based on the picture, the graph can not return any value lower than 1, so the range is [1, ∞)

(c) The X-intercept is where the graph crosses the X-axis (or the horizontal line where Y = 0). The graph doesn't cross the X-axis, so there are no X-intercepts.

(d) The Y-intercept is where the graph crosses the Y-axis (or the vertical line where X = 0). The graph crosses the Y-axis at Y = 5, so a Y-intercept is (0, 5).

(e) f(1) is the Y value where X = 1, which is 4. f(5) is the Y value where X = 5, which is 2.

The graph represents a quadratic function. The vertex can be found using x = -b/2a. To find the x-intercepts or zeros, set the function equal to zero. The y-intercept can be found by substituting x = 0.

The graph represents a quadratic function because the shape of the graph is a parabola. A quadratic function is a polynomial function of degree 2. In this case, the vertex of the parabola can be found by using the equation x = -b/2a, where a and b are the coefficients of the quadratic function. The vertex is an important point on the graph as it represents the maximum or minimum value of the function.

To find the x-intercepts or zeros of the function, set the function equal to zero and solve for x. The x-intercepts are the points where the graph crosses the x-axis. To find the y-intercept, substitute x = 0 into the function and solve for y. The y-intercept is the point where the graph crosses the y-axis.

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Answer:

The answer is 4.5

Step-by-step explanation:

Answer:

It will cost 4 cents to print a page using the MOST EXPENSIVE cartridge than using the LEAST EXPENSIVE cartridge .

Step-by-step explanation:

Cartridge           Price            Printed Pages

Cartridge A        $36.00              300

Cartridge B        $67.50               450

Cartridge C        $70.00              500

Cartridge D        $66.00              600

Cartridge E        $84.50              650

Cost of printing 300 pages with Cartridge A = $36

Cost of printing 1 page with Cartridge A = [tex]\frac{36}{300}=0.12[/tex]

Cost of printing 450 pages with Cartridge B = $67.50

Cost of printing 1 page with Cartridge B=  [tex]\frac{67.50}{450}=0.15[/tex]

Cost of printing 500 pages with Cartridge C = $70

Cost of printing 1 page with Cartridge C =  [tex]\frac{70}{500}=0.14[/tex]

Cost of printing 600 pages with Cartridge D = $66

Cost of printing 1 page with Cartridge D =  [tex]\frac{66}{600}=0.11[/tex]

Cost of printing 650 pages with Cartridge D = $84.50

Cost of printing 1 page with Cartridge D =  [tex]\frac{84.50}{650}=0.13[/tex]

Based on the unit price per page most expensive cartridge B and least expensive cartridge is Cartridge D.

So, Difference between the unit price of most expensive cartridge B and least expensive cartridge is Cartridge D = $0.15-$0.11 = $0.04

$1 = 100 cents

$0.04 = 4 cents

Hence it will cost 4 cents to print a page using the MOST EXPENSIVE cartridge than using the LEAST EXPENSIVE cartridge .

Answer:

-31

Step-by-step explanation:

You subtract a positive minus a negative and keep the sign of the larger number, in this case being 78.

More gallons of water in the tank have 2/5 water in it

Option D

Answer:

The factors of [tex]x^{2} + 9 x + 8[/tex] is (x + 8)(x +1)  

Solution:

From question, given that [tex]x^{2} + 9x + 8[/tex]

To factorise the given equation, follow the below steps:

9x can be rewritten as 8x + 1x. Hence the above given equation becomes,

[tex]x^{2} + 9x + 8 = x^{2} + 8x + 1x + 8[/tex]

Rearranging the terms, we get

[tex]= x^{2} + 1x + 8x + 8[/tex]

Taking x as common from first two terms and 8 as common from last two terms, the above equation becomes,

= x(x+1)+8(x+1)

Since (x +1) is common in both the terms, we get

= (x +1)(x+8)

Hence the factors of [tex]x^{2} + 9x + 8[/tex] is (x + 8)(x +1)  

Answer:

D

Step-by-step explanation:

Probability of drawing two tiles from the bag one after the other and not replaced that is P(B/A) is equals to 5/19.

" Probability is defined as the ratio of number of favorable outcomes to the total number of outcomes."

here, we have,

Formula used

Conditional probability ' P(B/A)' = P(A∩B) / P(A)

According to the question,

Total number of tiles = 20

Number of while tiles  represented by 'A' = 6

Number of black tiles represented by 'B' = 5

Number of purple tiles= 9

Total number of outcomes = 20 × 19

                                             = 380

Favorable outcome for A = 6 × 19

                                           = 114

Favorable outcomes for A∩B = 6 × 5

                                                  = 30

Probability of A

'P(A)' = 114/380 = 57/190

Probability of A∩B

'P(A∩B)' = 30/380 = 15/190

Substitute the value in the conditional probability we get,

Probability for P(B/A) = 15/190 / 57/190

                                    = 15/57

                                    = 5/19

Hence, Option(B) is the correct answer.

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Answer:

The value of b is -13

Step-by-step explanation:

* Lets explain how to find a and b

- In any rational function f(x), if the degree of the denominator =

 the degree of the numerator, then there is a horizontal asymptote

 at y = coefficient of higher x of the numerator ÷ coefficient of higher

 x of the denominator

- Removable discontinuity means the numerator and denominator of

 the rational function have common factor will reduce when we

 simplify the fraction

- Discontinuity occurs when a number is both a zero of the numerator

 and denominator

* Lets solve the problem

∵ [tex]f(x)=\frac{ax^{2}+bx+2}{2x^{2}-8}[/tex]

∵ The degree of numerator and denominator is 2

∵ The coefficient of x² in the numerator is a

∵ The coefficient of x² in the denominator is 2

∴ The horizontal asymptote is at [tex]y=\frac{a}{2}[/tex]

∵ The graph of f has a horizontal asymptote at y = 3

∴ [tex]\frac{a}{2}=3[/tex]

- By using cross multiplication

∴ a = 6

∴ [tex]f(x)=\frac{6x^{2}+bx+2}{2x^{2}-8}[/tex]

∵ The function f has a removable discontinuity at x = 2

∵ Discontinuity occurs when a number is both a zero of the numerator

  and denominator

∴ 2 is a zero of the numerator

∴ 6x² + bx + 2 = 0 at x = 2

- Substitute x by 2 to find b

∴ 6(2)² + b(2) + 2 = 0

∴ 6(4) + 2b + 2 = 0

∴ 24 + 2b + 2 = 0

∴ 26 + 2b = 0

- Subtract 26 from both sides

∴ 2b = -26

- Divide both sides by 2

∴ b = -13

b = -13

Step-by-step explanation:

Given :

[tex]\rm f(x) = \dfrac{ax^2+bx+2}{2x^2-8}[/tex]   ----- (1)

The graph of f has a horizontal asymptote at y = 3 and f has a removable discontinuity at x = 2.

Solution :

Horizontal assymptote is

[tex]y = \dfrac{a}{2}[/tex]

because in equation (1) coefficient of [tex]x^2[/tex] is 'a' is in numerator and '2' is in denomenator.

So,

a = 6

Now equation (1) becomes,

[tex]\rm f(x) = \dfrac{6x^2+bx+2}{2x^2-8}[/tex]   ------ (2)

Given that discontinuity at x = 2, so denomenator of equation (2) is zero at x = 2. Therefore

[tex]\rm 6x^2 + bx + 2 = 0[/tex]

[tex]6(2^2) + 2b +2 = 0[/tex]

-26 = 2b

b = -13

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Hello!

3,486 / 2 = n

n = 1743

work:

you simply divide 3,486 by 2

if you divide each number by two (right to left)

6 / 2 = 3

8 / 2 = 4

4 / 2 = 2

3 / 2 = 1.5

since there is a decimal in this, multiply it by 10 and add it to the number before. this number will go on the right side of the total

1.5 * 10 =15

15 + 2 = 17

17 4 3 are the final numbers in order. put them together and you have 1743

(this is my personal way of doing it, but there are plenty more ways to do it)

I hope this helps, and have a nice day!

Answer:

16x^4 is your answer

Step-by-step explanation:

Answer:

40

Step-by-step explanation:

because am smart and i said so

Answer:

Prime.

Step-by-step explanation:

A^2+4a+12

Not factorable.

Answer:

Radius = Diameter / 2

Therefore Radius = 15 / 2 = 7.5 miles

Step-by-step explanation:

Answer:

8.0

Step-by-step explanation:

8.0 cause you move it over one place value which would be your tenth place

Answer: [tex]\frac{a}{b}= 18[/tex]

Step-by-step explanation:

You know that the quotient Colleen got when she divided an integer “a” by -6 was 6. This can be expressed as:

[tex]\frac{a}{-6}=6[/tex]

Then, you can find that integer solving for "a":

[tex]a=(6)(-6)\\\\a=-36[/tex]

The quotient Colleen got when she divided 6 by an integer “b” was -3. This can be expressed as:

[tex]\frac{6}{b}=-3[/tex]

Therefore, you can find that integer solving for "b":

[tex]6=(-3)(b)\\\\\frac{6}{-3}=b\\\\b=-2[/tex]

Knowing the values of "a" and "b", you can divide these integers in order to find the quotient between thenm

[tex]\frac{a}{b}=\frac{-36}{-2}}= 18[/tex]

Answer:

You know that the quotient Colleen got when she divided an integer “a” by -6 was 6.

Step-by-step explanation:

the other person is correct

Answer:

(- 1, 9 )

Step-by-step explanation:

A translation of 3 units left, subtract 3 from the original x- coordinate

A translation of 1 unit up, add 1 to the original y- coordinate.

The rule is (x, y ) → (x - 3, y + 1 ), thus

(2, 8 ) → (2 - 3, 8 + 1 ) → (- 1, 9 )

The image point of (2,8) is (-1,9).

The term P', which is pronounced "P prime," is used to refer to the reflection of point P across the line, which is considered to be the "image" of point P.

Given point is (2,8).

And the translation is left 3 unit and up 1units of the point (2,8)

By increasing or decreasing the output or the input, you may change the direction of the function's graph to the right, left, up, or down. A function's output can be increased to shift the graph up. The graph is shifted downward when a function's output is subtracted from.

That means -3 and +1 respectively.

Now the image point of (2,8)

= (2-3, 8+1)

= (-1, 9)

Therefore, the image point is (-1,9).

To learn more about the image point;

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Answer:

[tex]cos^{4}[/tex] x

Step-by-step explanation:

Using the trigonometric identities

1 + tan²x = sec²x and 1 - sin²x = cos²x

secx = [tex]\frac{1}{cosx}[/tex]

Given

[tex]\frac{1-sin^2x}{1+tan^2x}[/tex]

= [tex]\frac{cos^2x}{sec^2x}[/tex]

= [tex]\frac{cos^2x}{\frac{1}{cos^2x} }[/tex]

= cos²x × cos²x

= [tex]cos^{4}[/tex] x

Answer:

its d trust me

Step-by-step explanation:

Answer:

0.75x + 0.8(x + 10) = 101

Step-by-step explanation:

Write an expression to represent the number of shots each one made.

Jared attempted x shots and made 75% of them, or 0.75x.

Zach attempted 10 more shots than Jared did, which is represented as x + 10. He made 80% of them, or 0.8(x + 10).

Together, they made 101 shots. So, add the two expressions and set the sum equal to 101:

0.75x + 0.8(x + 10) = 101.

Answer: One 8-cm pipe (Its is greater than the total area of of two 4-cm pipes)

Step-by-step explanation:

The area of a circle can be calculate with this formula:

[tex]A=\pi r^2[/tex]

Where "r" is the radius of the circle.

We need to calculate the area of 8-cm pipe. In this case:

[tex]r=8cm[/tex]

Then, substituting the radius into the formula, we get:

[tex]A=\pi (8cm)^2\\\\A=201.06cm^2[/tex]

Now we must calculate the area of the two 4-cm pipes.

Since they are two pipes, the formula is:

[tex]A=2\pi r^2[/tex]

In this case:

[tex]r=4cm[/tex]

Then, substituting into the formula, we get:

[tex]A=2\pi (4cm)^2\\\\A=100.53cm^2[/tex]

Therefore, since the area of one 8-cm pipe is greater than the total area of of two 4-cm pipes, we conclude that the pipe configuration that can deliver more water to residents is:

One 8-cm pipe

Answer:

Infinte solutions

Step-by-step explanation:

First you have to do the multiplication

6y - 8 = 6y - 8

since both sides are equal it means that the equation has infinte solutions, because if you keep solving you will get

6y - 6y = -8 + 8

0 = 0

Answer:

Step-by-step explanation:

The question says that you are multiplying 8 and something together. So to start with, it looks like this.

8*something.

Now you have to get 7 less a number which is 7 - x

So something is 7 - x

8(7 - x) is your answer.

Answer: The answer is -28

Step-by-step explanation:

Trust me

Final answer:

The integer representing the temperature drop of 28°, leaving the thermometer at 48°, is -28. The original temperature before the drop was 76°.

Explanation:

The integer that represents the number of degrees the temperature drops when the temperature drops 28° and the thermometer reads 48° afterwards is -28. To find this, we use the final temperature (48°) and add the temperature drop (28°) to determine the original temperature. However, since it is a temperature drop, we have to add a negative sign to the drop, making it -28°. Therefore, the original temperature was 48° + 28° = 76°. The decrease in temperature is represented by the negative integer -28°.

Answer:

Greatest possible number of fish = 576 fish.

Step-by-step explanation:

If there cannot be no more than 18 fish in each tank, then this means that the maximum amount of fish (or greatest amount of fish) is 18 PER tank (since it says "each").

With this knowledge, we can multiply 18 by 32 and we get 576 as our answer.

We are asked for the greatest possible number of fish, so what we have done here is used the information provided (with the maximum for each tank being 18 fish) and multiplied it by 32 to get 576 fish.

Answer:

576

Step-by-step explanation:

The MAXIMUM amount of fish per tank is detailed as 18, as there cannot be any more than it per tank.

We have 32 fish tanks in total, and if we wish to find the maximum fish capacity, simply multiply 32 by 18, and we will get our answer to be 576 fish!