Which benefits do employers commonly offer to full-time employees?

So to find the potential roots, we will be using the rational root theorem. The rational root theorem is [tex]\pm \frac{p}{q}[/tex] , with p = factors of the constant and q = factors of the leading coefficient. In this case, our constant is 12 and our leading coefficient is 1:

[tex]p=1,2,3,4,6,12\\q=1\\\\\pm\frac{1,2,3,4,5,6,12}{1}\\\\\pm1,\pm\ 2,\pm\ 3,\pm\ 4,\pm\ 6,\pm\ 12[/tex]

In short, our potential roots are: ± 1, ± 2, ± 3, ± 4, ± 6, and ± 12.

Answer:

2,4,3,6,12

Step-by-step explanation:

i just did it.  

Answer: $16, 666.67

Step-by-step explanation:

Job 1: 0.06x

Job 2: 0.03x + 500

0.06x > 0.03x + 500

-0.03x  -0.03x          

0.03x >              500

÷0.03              ÷0.03

       [tex]x > \dfrac{50000}{3}[/tex]

        x > 16,666.67      rounded to the nearest penny

Answer:

Final answer is 7.

Step-by-step explanation:

Given that f(x) =7x+8.

Now we need to find the derivative of f(x) at x=5

So let's find derivative first.

[tex]f(x)=7x+8[/tex]

[tex]f'(x)=\frac{d}{dx}(7x+8)[/tex]

[tex]f'(x)=\frac{d}{dx}(7x)+\frac{d}{dx}(8)[/tex]  {Using formula [f+g]'=f'+g'] }

[tex]f'(x)=7\frac{d}{dx}(x)+\frac{d}{dx}(8)[/tex]  {Using formula f'(ax)=a f'(x) }

[tex]f'(x)=7(1)+0[/tex]  {derivative of constant term is 0 }

[tex]f'(x)=7[/tex]

Now plug the given value of x=5

[tex]f'(5)=7[/tex]

Hence final answer is 7.

Answer:

Segment AB!

hope this helps

Step-by-step explanation:

Answer:

Segment XY≅  segment AB.

Step-by-step explanation:

Given : ABC is congruent to triangle XYZ.

To find : which of the following is congruent to segment XY.

Solution : We have given that triangle ABC ≅ ΔXYZ.

By the congruent rule of triangle  : congruent triangle have congruent corresponding sides .

So. side AB ≅ XY

Therefore, Segment XY≅  segment AB.

Answer:

C / (2pi) = r;  r= 13.9 cm

2A/b = h   ;  h= 5

Step-by-step explanation:

The formula for the circumference of a circle is  C = 2* pi * r.

Solving for r, we need to divide by 2 * pi on each side

C/(2* pi) = 2*pi*r/ (2* pi)

C / (2pi) = r

If the circumference is 87, we can find r by substituting into the equation.

87 / (2 * 3.14) = r

87/ 6.28 = r

13.85350318=r

Rounding to the nearest tenth

r= 13.9 cm

The formula for the area of a triangle is  A = bℎ /2  

To solve the formula for h, we need to multiply each side by 2

2*A = bh

Then divide each side by b

2A/b = bh/b

2A/b = h

If the  area  of a triangle is 25  and the base of 10 , we can substitute in to find the height.

2* 25 /10 = h

50/10 = h

5 =h

Answer:

The best answer is C. y = 2/5x + 2

Step-by-step explanation:

You would start at point 2 then rise 2 units then run 5 units. (i got something else) but i went to desmos to make sure and it matched

The slope-intercept form:

[tex]y=mx+b[/tex]

m - slope

b - y-intercept → (0, b).

Read two points from the graph.

y-intercept = (0, 2) → b = 2

x-intercept = (-5, 0)

The formula of a slope:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

Substitute:

[tex]m=\dfrac{0-2}{-5-0}=\dfrac{-2}{-5}=\dfrac{2}{5}[/tex]

Therefore your answer is

[tex]\boxed{C.\ y=\dfrac{2}{5}x+2}[/tex]

Answer:

Step-by-step explanation:

Answer:

12,495 is the answer

Step-by-step explanation:

Answer:

Step-by-step explanation:6*3 7*3 8*3 9*3

We don't know anything about the x coordinate of point B other than it cannot be zero (which is what the slash through the equal sign means). You can pick any value you want for x as long as it's not zero. So I'm going to pick x = 1. Point B is located at (x,y) = (1,-7)

Find the slope of the line through A(-5,5) and B(1,-7). Use the slope formula

m = (y2 - y1)/(x2 - x1)

m = (-7-5)/(1 - (-5))

m = (-7-5)/(1 + 5)

m = (-12)/(6)

m = -2

Use this slope value with (x,y) = (-5,5) to find the y intercept b

y = mx+b

y = -2x + b

5 = -2(-5) + b

5 = 10 + b

5-10 = 10+b-10

-5 = b

b = -5

So y = mx+b turns into y = -2x-5 which is the equation of the line through the two points A(-5,5) and B(1,7). The graph is shown below.

note: this answer will be different if you pick a different x coordinate for point B

Answer:

Jane is 12 years old and Harvey's is 36 years old .

Step-by-step explanation:

Given :

Jane is  [tex]a_{0}[/tex]  years old.

Harvey is   [tex]a_{1}[/tex] years old.

Harvey is 3 times as old as Jane.

The sum of their ages is 48 years.

To find : The ages of Harvey and Jane.

Solution :

Jane 's age :

[tex]a_{0}[/tex]

Harvey  's age:

[tex]a_{1}[/tex]  

Since we are given that sum of their ages is 48 years

⇒[tex]a_{1} + a_{0} = 48[/tex]  ----(A)

We are also given that  Harvey is 3 times as old as Jane.

⇒[tex]a_{1} = 3a_{0}[/tex]  --- (B)

Solving (A) and (B) using substitution method

Substitute value of [tex]a_{1}[/tex]  from (B) in (A) :

⇒[tex] 3a_{0}+ a_{0} = 48[/tex]

⇒[tex] 4a_{0} = 48[/tex]

⇒[tex]a_{0} = \frac{48}{4}[/tex]

⇒[tex]a_{0} = 12[/tex]

Thus , Jane 's age is 12 years .

Substitute this value in (B) to find Harvey,s age :

⇒[tex]a_{1} = 3(12)[/tex]

⇒[tex]a_{1} = 36[/tex]

Thus, Harvey,s age is 36 years .

Hence Jane is 12 years old and Harvey's is 36 years old .

Answer: [tex]\bold{y = \sqrt{900-x^2}}[/tex]

Step-by-step explanation:

The general form of a circle is: (x - h)² + (y - k)² = r² ; where

Since the roller coaster is centered at the origin, then (h, k) = (0, 0)

Since the height of the roller coaster is 30, then radius (r) = 0

Equation of the circle is: (x - 0)² + (y - k)² = 30²

⇒ x² + y² = 900

To find the equation of the semicircle, solve for "y"

x² + y² = 900

      y² = 900 - x²

      [tex]\sqrt{y^2}=\sqrt{900-x^2}[/tex]

      [tex]y = \pm\sqrt{900-x^2}[/tex]

Since we are looking for the top half of the semicircle (because it is above ground), then use the positive root:  [tex]y = \sqrt{900-x^2}[/tex]

Answer:

x^2+y^2=900Step-by-step explanation:

1.Write the equation that models the height of the roller coaster.

x^2+y^2=30^2

2.Start by writing the equation of the circle. (Recall that the general form of a circle with the center at the origin is x2 + y2 = r2. (10 points)

x^2+y^2=900

3.Now solve this equation for y. Remember the roller coaster is above ground, so you are only interested in the positive root. (10 points)

y= √(900-x^2)

[tex]f(x)=\dfrac{x-4}{x+9};\ g(x)=\dfrac{x-9}{x+4}\\\\f(x)+g(x)=\dfrac{x-4}{x+9}+\dfrac{x-9}{x+4}=\dfrac{(x-4)(x+4)+(x-9)(x+9)}{(x+9)(x+4)}\\\\\text{use}\ a^2-b^2=(a-b)(a+b)\\\\=\dfrac{x^2-4^2+x^2-9^2}{(x+9)(x+4)}=\dfrac{2x^2-16-81}{(x+9)(x+4)}=\dfrac{2x^2-97}{(x+9)(x+4)}\\\\f(x)-g(x)=\dfrac{x-4}{x+9}-\dfrac{x-9}{x+4}=\dfrac{(x-4)(x+4)-(x-9)(x+9)}{(x+9)(x+4)}\\\\\text{use}\ a^2-b^2=(a-b)(a+b)\\\\=\dfrac{x^2-4^2-(x^2-9^2)}{(x+9)(x+4)}=\dfrac{x^2-16-x^2+81}{(x+9)(x+4)}=\dfrac{65}{(x+9)(x+4)}[/tex]

[tex]\dfrac{f+g}{f-g}=(f+g):(f-g)=\dfrac{2x^2-97}{(x+9)(x+4)}:\dfrac{65}{(x+9)(x+4)}\\\\=\dfrac{2x^2-97}{(x+9)(x+4)}\cdot\dfrac{(x+9)(x+4)}{65}\\\\Answer:\ \boxed{\dfrac{f+g}{f-g}=\dfrac{2x^2-97}{65}}[/tex]

The value of  f+g / f-g =  (2x² - 97) / 65

In mathematics, a function is represented as a rule that produces a distinct result for each input x. In mathematics, a function is indicated by a mapping or transformation. Typically, these functions are identified by letters like f, g, and h. The collection of all the values that the function may input while it is defined is known as the domain. The entire set of values that the function's output can produce is referred to as the range. The set of values that could be a function's outputs is known as the co-domain.

Given:

f(x)= x-4 / x+9 and g(x)= x-9 / x+4

So,  f+g / f-g

f(x)+ g(x)

= x-4 / x+9 + x-9 / x+4

= (x² - 4²) + (x² - 9²) / (x+4)(x+9)

= (2x² - 97) / (x+4)(x+9)

f(x)-g(x)

= x-4 / x+9 - x-9 / x+4

= (x² - 4²) - (x² - 9²) / (x+4)(x+9)

= 65 / (x+4)(x+9)

Then, f+g / f-g

= (2x² - 97) / (x+4)(x+9) x  (x+4)(x+9)/ 65

= (2x² - 97) / 65

Learn more about Function here:

https://brainly.com/question/12908735

#SPJ2

1 ║ 4               6                  -1

                      4                  10

----------------------------------------------

    4               10                 [tex]\boxed{9}[/tex] 

⇒ The Remainder is 9

Answer:

8.14$

Step-by-step explanation:

each pound is for 2.20

2.5 x 2.20 = 5.50$ on Monday

1.2 x 2.20 = 2.64$ on Tuesday

5.50 + 2.64 = 8.14$ in total

The total of the two matrices is found by adding corresponding elements:

[tex]\left[\begin{array}{cc}5+2&3+3\\22+17&15+27\\13+15&12+18\end{array}\right] =\left[\begin{array}{cc}7&6\\39&42\\28&30\end{array}\right][/tex]

This matches selection A.

Answer:

The answer is false

Step-by-step explanation:

22 quarts is 5.5 gallons

Answer:  FALSE, there are 80 cups in 5 gallons and 88 cups in 22 quarts  

Answer:

d) 9

Step-by-step explanation:

In a kite, the two shorter sides have to be equal.

Therefore

3x-5 = 22

Add 5 to each side

3x-5+5 = 22+5

3x = 27

Divide each side by 3

3x/3 = 27/3

x =9

Answer: 4x - 8 ; 12 yrs old

Step-by-step explanation:

sister: x

Ana: 4x - 8

when x = 5, Ana = 4(5) - 8

                           = 20 - 8

                           = 12

Answer:

Answer is selling price of second horse is Rs 30400.

Step-by-step explanation:

Maulik bought one horse at Rs 40000 and sold it with a gain of 15%

So the selling price of one horse will be 40000+15% of 40000

                                                      = 40000+6000

                                                      = Rs 46000

Second horse is costing Rs 40000 and had suffered a loss of Rs 3600 on selling both so selling price of both will be = 40000×2-3600

                                                                       = 80000-3600

                                                                       = 76400

  Now selling price of second horse will be selling price of both - selling price of first = 76400-46000 = Rs 30400

Answer:

The selling price of the second horse is Rs 30,400.

Step-by-step explanation:

Cost Price of first horse([tex]CP_{1}[/tex])= Rs. 40,000

Cost Price of second horse([tex]CP_{2}[/tex])= Rs. 40,000

Total cost price=[tex]CP_{1}+CP_{2}[/tex]=Rs (40,000+40,000)=Rs 80,000

First horse is sold at 15% gain.

This means selling price of first horse([tex]SP_{1}[/tex])= [tex]\dfrac{115}{100} \times40000[/tex]

                                                              = Rs. 46,000

also total there is a loss of Rs 3600

selling price of both the horses(SP)=80000-3600=Rs 76400

now, [tex]SP=SP_{1}+SP_{2}[/tex]

where [tex]SP_{2}[/tex] is the selling price of the second horse.

[tex]SP_{2}=SP-SP_{1}[/tex]

[tex]SP_{2}=76400-46000[/tex]

[tex]SP_{2}=30400[/tex]

Hence the selling price of the second horse is Rs 30,400.

Answer: The bar graph could work.

Answer:

Step-by-step explanation: A box plot takes a large amount of data and clearly identifies the median, first quartile, and third quartile. The first quartile identifies the 25th percentile, and the third quartile identifies the 75th percentile.

To determine how the height of the student compares to 25% of his class, the value of the first quartile of the heights is needed.

Therefore, the best graph type to show how the student compares to 25% of his class is a box plot.

Let's assume the opposite is the case. So let's assume that a = b is true. If so, then f(a) and f(b) would be the same output. This is because we can replace 'b' with 'a', or vice versa. In other words, f(a) = f(b) would be true. But this contradicts the original inequality that f(b) < f(a)

So that is why 'a' cannot equal b. We don't know if a > b or if a < b (unless we are told if the function is strictly decreasing or increasing on the interval from x = a to x = b), so we just leave it as [tex]a \ne b[/tex]

Answer:

59-12 would be 47 points and by all means you would have an F

Step-by-step explanation:

59-12=47

Answer:

Sandwich = 6.75

Soft drink = 2.25

Step-by-step explanation:

9.00/4 = 2.25

2.25*3=6.75

Answer:

1/5

Step-by-step explanation:

Experimental probability is the actual times it happens divided by the number of trials

Actual times red occurs:2

Trials: 10

Experimental probability: 2/10 = 1/5

Answer:1/5

Step-by-step explanation:Experimental probability is the actual times it happens divided by the number of trials

Actual times red occurs:2

Trials: 10

Experimental probability: 2/10 = 1/5

48

Let x represent the distance OC. Then CD = x+2, and DP = 16-x. The radius of circle P is ...

... CD +DP = (x+2) +(16-x) = 18

The radius of circle O is ..

... OC + CD = (x) + (x +2) = 2x+2

The length OP is ...

... OC + CP = (x) + (18) = x+18.

Now, the perimeter of ΔAOP is ...

... radius of circle O + radius of circle P + OP = 80

... = (2x+2) + 18 + (x+18) = 3x+38 = 80

Then x is ...

... x = (80 -38)/3 = 14

and the radius of circle O is

... 2x +2 = 2·14 +2 = 30

The desired sum is ...

... OB + BP = (radius of circle O) + (radius of circle P) = 30 + 18

... OB + BP = 48