which of the following rational functions is graphed below?

Answer:

13 ocicats

Step-by-step explanation:

Here, we are told that an Ocicat eats 3/5 pounds of food per day.

Now, we have a bag of 19 1/2 pound of food and we want to know the number of ocicats this will feed

What we just need to do is to divide the weight of the bag by the amount in pounds that can feed a single ocicat

Thus, we have;

19 1/2 divided by 3/5

= 39/5 divided by 3/5

= 39/5 * 5/3

= 13 Ocicats

Answer:

(a)The solution set is: [tex]x \in [6, \infty) \forall x \in R[/tex]

(c) [tex]6 \leq x[/tex]

Step-by-step explanation:

Given the inequality: [tex]12+\dfrac{11}{6}x\leq 5+3x[/tex]

We solve by collecting like terms

[tex]12+\dfrac{11}{6}x\leq 5+3x\\12-5\leq 3x-\dfrac{11}{6}x\\7\leq \dfrac{18x-11x}{6}\\42 \leq 7x\\$Divide both sides by 7\\6 \leq x\\$We can re-write this as:\\x\geq 6[/tex]

The solution set is therefore: [tex]x \in [6, \infty) \forall x \in R[/tex]

Step-by-step explanation:

here first you have to find the perimeter of square

given that perimeter of circle is equal to perimeter of square,,,,, therefore with the perimeter of square you have to find the radius of the circle.....

now you have the radius of the circle so by applying the formula of area of circle the answer will be finded

Please follow

Answer:

38.47 units²

Step-by-step explanation:

I got it right on the test...

Answer: Option C.

Step-by-step explanation:

Ok, first, a linear function is something of the shape of:

y = a*x + b.

And the graph of those functions is a line, as the name implies, so we can discard that option.

So this must be a non-linear function, you can see that is a function because each value of x has only one value of y related to it.

Second, in a Venn diagram you will see that the set of functions is contained into the set of relationships, this means that all the functions are relationships, but not all the relationships are functions, and we know that this is a non-linear function, so this also must be a relationship.

Then the correct option is C, nonlinear, and a relationship.

Answer:

A

Step-by-step explanation:

[tex](10^{-2})^{4}[/tex]

Apply the law of exponents.

[tex]10^{-2 \times 4}[/tex]

[tex]=10^{-8}[/tex]

Answer:

[tex] = {10}^{ - 8} \\ [/tex]

Answer A is correct.

Step-by-step explanation:

[tex] {( {10}^{ - 2}) }^{4} \\ {10}^{ - 2 \times 4} \\ = {10}^{ - 8} [/tex]

Answer:

70

Step-by-step explanation:

well you know that angles in the same segment are equal so angle VWZ also= 38

triangle VWZ is a triangle so the sum of interior angles sums to 180

180-72-38=70

Answer:

Interpreting as: standard form

Input interpretation:

standard form

Definition:

The standard form of a line in the Cartesian plane is given by

ax + by = c

for real numbers a, b, c element R.

Step-by-step explanation:

Para hacer las porciones para 32 personas, multiplique cada cantidad de ingrediente por 4 ya que la receta proporciona 8 porciones y 8 * 4 = 32

Papa seca = [tex]\frac{1}{2} *4[/tex]

                     = 2 papas secas

Cerdo = [tex]\frac{1}{2} *4[/tex]

       = 2 kg de carne de cerdo

Cebollas = 1 * 4

            = 4 cebollas grandes

Aji panca = 3 * 4

               = 12 cucharadas de aji panca

Ajo molido = [tex]1\frac{1}{2} *4[/tex]

                       = [tex]\frac{3}{2} *4[/tex]

                       = 6 cucharadas de ajo molido

Sal = 1 * 4

      = 4 cucharadas de sal

Answer:

The solution to the equation (x-13)<18 is that x can be equal to the numbers 0-17 (NOT including negative numbers)

Answer:

DF = 25

Step-by-step explanation:

We know that the triangle midpoint theorem says that the line segment connecting the midpoints of two sides of a triangle is parallel to the third side and is congruent to one half of the third side.

So,

DF = [tex]\frac{1}{2} AC[/tex]

Where AC = 50

DF = 50/2

DF = 25

Answer:

Less than 13 pounds of grapes,

as 14 pounds of grape exceeds $35.80,

If you order as low as zero pounds of grapes, then the price of apple pounds would be $35.80/20 =$1.79 per pound

Step-by-step explanation:

Let

Quantity of Apple and grapes=20

Cost of apple=$2.19

Cost of grape=$2.60

Total cost of apple and grape=$35.80

a+g=20

a=20-g

PaQa+PgQg=35.80

2.19(20-g)+2.60g=35.80

43.8-2.19g+2.60g=35.80

0.41g=35.80-43.8

0.41g=-8

g=-8/0.41

g= -19.51

PaQa+PgQg=35.80

2.19a+2.60(-19.51)=35.80

2.19a-50.726=35.80

2.19a=35.80+50.726

2.19a=86.526

a=86.526/2.19

=39.51

PaA+PgG=35.80

Pa(20-G)+2.60G=35.80

35.80/2.60 = 13.77 pounds of grapes, but no money will be left to buy apples, unless Pa=0

G<13.77

Answer:

y - 5 = -7(x - 8)

Step-by-step explanation:

We can immediately adapt y - k = m(x - h) as follows:  replace m with -7, h with 8 and k with 5, obtaining:

y - 5 = -7(x - 8)

This is the desired equation in point-slope form.

Answer:

Point B is 3/4

Step-by-step explanation:

the number line is split into fourths. Therefore, it is 3/4

Answer:

Use the graph of the exponential growth function

f(x) = a(2x) to determine which statement is true.

f(0) = 2 when a = One-half.

f(0) = 3 when a = 3.

f(1) = 9 when a = 9.Step-by-step explanation:

Answer:

x = -103/70 or approximately -1.47

Step-by-step explanation:

First, what I would do is get rid of the denominator, 2. You do this by perming the inverse operation to both sides, so you multiply both sides by 2.

Now your equation is: 70(4x+6) = 8

Next what I did was distribute the 70 inside the parentheses:

280x + 420 = 8.

Then you subtract 420 from both sides:

280x = -412

To get x by itself, you have to divide both sides by 280:

x= -412/280 , which simplifies to -103/70 , or can be written as an approximation of -1.47 (rounded to nearest hundredth)

This number looks nasty, but I checked my work so it should be right :)

Answer:

x=  −103 /70

Step-by-step explanation:

Answer:

37

The maximum number of people who could fit in this room is 37

Step-by-step explanation:

Given;

The area of a room A = 9 × 10^4 square inches

Minimum Area needed per person M = 2.4×10^4 square inches

The maximum number of people who could fit in this room is;

N = The area of a room A/Minimum Area needed per person M

N = A/M

Substituting the values;

N = 9×10^4 ÷ 2.4×10^3

N = 37.5

Since we can not have a 0.5 person, the number would be approximated down to nearest lower whole number.

N = 37

The maximum number of people who could fit in this room is 37

Answer:

[tex]x=66^\circ[/tex]

Step-by-step explanation:

[tex]x=\frac{180^\circ - 48^\circ}{2}\\\\=\frac{132^\circ}{2}\\\\=66^\circ[/tex]

Best Regards!

Answer:

The answer is "64".

Step-by-step explanation:

Given:

8-sided fair die

output of Die = { 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 }

if the Dice is thrown two times. so, the possible outputs are as follows:

[tex]\to 8 \times 8=64[/tex]

[tex]\texttt{ = (1,1),(1,2),(1,3),(1,4),(1,5),(1,6),}\\ \ \ \texttt{(1,7),( 1, 8),(2,1),(2,2),(2,3),(2,4),}[/tex]

[tex]\texttt{(2,5),(2,6),(2,7),(2,8),(3,1), (3,2),}\\ \texttt{(3,3),(3,4),(3,5),(3,6),(3,7),(3,8) ,}\\\texttt{(4,1),(4,2),(4,3), (4,4),(4,5),(4,6),} \\[/tex]

[tex]\texttt{(4,6),(4,7),(4,8),(5,1),(5,2),(5,3),}\\\texttt{(5,4),(5,5),(5,6),(5,7),(5,8),(6,1),}\\\texttt{(6,2),(6,3),(6,4),(6,5),(6,6),(6,7),}[/tex]

[tex]\texttt{(6,8),(7,1),(7,2),(7,3),(7,4),(7,5),} \\\texttt{(7,6),(7,7),(7,8),(8,1),(8,2),(8,3),}\\ \texttt{(8,4),(8,5),(8,6),(8,7),(8,8)}[/tex]

That's why the product is 64.

CHECK THE COMPLETE QUESTION BELOW:

Supervisor: "Because you are working a late shift, you will get an increase in your wage. You will get an additional 10% per hour from 6:00 PM to 12:00 AM and additional 15% from 12:00 AM to 1:00 AM." Employee: "I am working from 2:00 PM to 12:00 AM. Between 2:00 PM and 6:00 PM, I will make $12.00 per hour. Between 6:00 PM and 12:00 AM, I will make __________ per hour

Answer:

I will make $13.2 per hour

Explanation:

It can be deducted from the question that that the money Employee gets money for Working from 2.00 PM to 6.00 PM = $12per hour

Also the Employee gets additional 10% of money for working from 6.00 PM to 12.00 AM which implies that

10% = (10/100)*$12per hour

=$1.2per hour

Again, Employee gets additional 15% of the money for working from 12.00 AM to 01.00 AM which can be calculated as:

15% = (15/100)*$12per hour

=$1.8 per hour

which means that Employee gets additional $1.8 per hour

of the money for working from 12.00 AM to 01.00 AM

Therefore, if Employee works from 2.00 PM to 12.00 AM,

Employee will gets money for Working from 2.00 PM to 6.00 PM as well as the 10\% extra wage which

= $12 + $1.2 = $13.2

= \$ 12 + \$ 1.2 = \$ 13.2

Answer:

The correct answer is C.

Step-by-step explanation:

First, we can eliminate A and D since it is obviously only 36 months.

Note that the question asks what can be interpreted from the range of the graph.

The range is the number of users in thousands (per month) (as can be seen from the side title).

While B is technically correct, it wrongly interprets the range. C is the best choice.

The correct answer is C.

Answer:

138

Step-by-step explanation:

Let the number of employees before the layoff be x.

1/6 of the company's workers were laid off and the remaining workers are 690. This means that:

1/6 * x = x - 690

=> x/6 = x - 690

=> 690 = x - x/6

690 = 5x/6

=> x = (690 * 6) / 5

x = 828

There were 828 workers before the layoff. Therefore, the number of employees that were laid off is:

828 - 690 = 138 employees

The company's laying off its workforce is an illustration of proportions.

A total of 138 employees were laid off

The proportion (p) laid off is given as:

[tex]p = \frac 16[/tex]

The proportion (q) remaining in the workforce would be

[tex]q = 1 - p[/tex]

This gives

[tex]q = 1 - \frac 16[/tex]

[tex]q =\frac 56[/tex]

The workforce after 1/6 were laid off is given as 690.

So, we have:

[tex]q \times n = 690[/tex]

Where n represents the original workforce

This gives

[tex]\frac 56 \times n = 690[/tex]

Multiply both sides by 6/5

[tex]n = 828[/tex]

The number of employees that were laid off is:

[tex]Employee = 828 - 690[/tex]

[tex]Employee = 138[/tex]

Hence, 138 employees were laid off

Read more about proportions at:

https://brainly.com/question/16981404

Answer:

14

Step-by-step explanation:

The range of a given set of values is the lowest value deducted from the highest value.

Lowest value is -8 and highest value is 6.

Therefore,

[tex]Range = Highest value - Lowest value \\ = 6 - ( - 8) \\ = 6 + 8 \\ = 14[/tex]

Hope it helps!

Answer:

2⁵³/₁₉₈

Step-by-step explanation:

2.2676767 = 2.7676767 − 0.5

2.2676767 = 2⁷⁶/₉₉ − ½

2.2676767 = 2¹⁵²/₁₉₈ − ⁹⁹/₁₉₈

2.2676767 = 2⁵³/₁₉₈

Answer:

449/198  or 2 53/198

Step-by-step explanation:

2. 267676767 = x

10x= 22. 67676767

1000x= 2267. 676767

1000x-10x= 2267.676767- 22.676767

Answer:

Irrational

Step-by-step explanation:

3 1/3 × √52

= 10/3 × √52

= 20/3√13

= 24.037009

Irrational, the product cannot be written in the form p/q as a fraction.

Answer:

irrational

Step-by-step explanation:

3 1/3 * sqrt(52)

Changing to an improper fraction

10/3 * sqrt(52)

10 /3 * sqrt( 4*13)

10/3 * sqrt(4) sqrt(13)

10/3 * 2 sqrt(13)

20/3 sqrt(13)

Since sqrt(13) is irrational the product is irrational

Step-by-step explanation:

Angle XBC = 55 degrees because it is a corresponding angle with Angle AXC

and corresponding angles are equal or congruent.

Ok so angle XBC = 55 degrees and since this an isosceles triangle

XBC = XCB which means XCB = 55 degrees

Now to find angle BXC we know that all angles of a triangle add up to 180 degrees.

Angle XBC + Angle XCB + Angle BXC = 180 degrees

Let x represent angle BXC

55 + 55 + x = 180

110 + x = 180

x = 180 - 110

x = 70

∴ Angle BXC = 70 degrees

Answer:

The answer is "[tex]\bold{-\frac{1}{2}}[/tex]"

Step-by-step explanation:

Miguel's choose the best way to win the 2 dollars by pulling the two chips with the number 1.  In total, there are four balls, so his probability of winning is:  

[tex]\to \frac{2}{4} \times \frac{1}{3}= \frac{1}{6}[/tex]

The chances of losing a dollar add up to that amount, so 5/6.  

Price predicted = [tex]\frac{1}{6} \times (2) + \frac{5}{6} \times (-1)[/tex]

                          [tex]=\frac{1}{6} \times 2 + \frac{5}{6} \times -1\\\\=\frac{1}{3} - \frac{5}{6} \\\\=\frac{2-5}{6}\\\\=\frac{-3}{6}\\\\=- \frac{1}{2}\\[/tex]

The final answer is "[tex]-\frac{1}{2}[/tex]"

Answer:

almonds cost $3.25 per pound and jelly beans $2.50

Step-by-step explanation:

system of linear equations

2a+3j=14

4a+8j=33

solution is (3.25, 2.5)

Answer:

(x - 7)² + (y + 3)² = 7

Step-by-step explanation:

The equation of a circle is denoted by: [tex](x -x_1)^2+(y-y_1)^2=r^2[/tex], where [tex](x_1,y_1)[/tex] is the centre and r is the radius.

Here, the centre is (7, -3), which means [tex]x_1=7[/tex] and [tex]y_1=-3[/tex]. The radius is r = √7. Plug these values into the formula:

[tex](x -x_1)^2+(y-y_1)^2=r^2[/tex]

[tex](x -7)^2+(y-(-3))^2=(\sqrt{7}) ^2[/tex]

[tex](x -7)^2+(y+3)^2=7[/tex]

Thus, the answer is (x - 7)² + (y + 3)² = 7.

~ an aesthetics lover