13
A new business is hiring managers and employees. The company needs at least 20 managers and no more than 500 employees. A total of at least 400 people
must be hired. Complete the table to show a system of linear inequalities representing the constraints of this situation. Let a represent the number of
managers and let y represent the number of employees. Enter your answer in the box provided.
Constraint
Inequality
A total of at least 400 people must be hired
No more than 500 employees
At least 20 managers

Answer:

Step-by-step explanation:

When we are given a function in this format, we substitute the x value in the equation. F(x) is simply another way of saying y.

if x = -8

6 (2 - -8)

6(10)

60

Answer:

Width of rectangle = 5 cm

Length of rectangle =  17 cm

Step-by-step explanation:

Let the dimensions of rectangle:

Width of rectangle = x

Length of rectangle = 3x+2

Area of rectangle = 85 cm

We need to find dimensions of rectangle i.e length and width.

The formula used is: [tex]Area\:of\:rectangle=Length\times Width[/tex]

Putting values and finding dimensions

[tex]Area\:of\:rectangle=Length\times Width\\85=3x+2 \times x\\85=3x^2+2x\\The\;equation\:will\:be:\\3x^2+2x-85=0[/tex]

Now, finding value of x using quadratic formula:

[tex]x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]

We have, a =3, b =2 and c=-85

[tex]x=\frac{-2\pm \sqrt{(2)^2-4(3)(-85)}}{2(3)}\\x=\frac{-2\pm \sqrt{4+1020}}{6}\\x=\frac{-2\pm \sqrt{1024}}{6}\\x=\frac{-2\pm 32}{6}\\x=\frac{-2+ 32}{6}\:or\:x=\frac{-2- 32}{6}\\x=5\:or\:x=-5.6[/tex]

So, we get x = 5 and x = -5.6

But since the width of rectangle cannot be negative so, we would consider x = 5

Now, the dimensions of rectangle will be:

Width of rectangle = x = 5 cm

Length of rectangle = 3x+2 = 3(5) + 2 = 15+2 = 17 cm

Answer:

We conclude that:

g(f(x)) = -3x+3

Step-by-step explanation:

Given

To determine

In order to determine g(f(x)), first we need to substiute f(x) = 3x-3 in g(f(x)).

g(f(x)) = g(3x-3)

now substitute x = 3x-3 in g(x)

         = -(3x-3)

         = -3x+3

Therefore, we conclude that:

g(f(x)) = -3x+3

Answer:

7241.25 mm squared

Step-by-step explanation:

The surface area of a cylinder is denoted by: , where r is the radius and h is the height.

Here, we know that the diameter is 39.2 mm, and since diameter is twice the radius, then r = d/2 = 39.2/2 = 19.6 mm. We also know that the height is 39.2 mm

using this formula for surface area of cyclinder: 2πrh+2π

diameter = 2r --> 39.2 = 2r

so r= 19.6

The answer is 7241.25 mm squared.

↓Practice Provided Below ↓

Answer:

$7 per pound

Step-by-step explanation:

28/4

Answer:

uhhhh... i thinks its D or A

Answer:

4 X -11

-44

plz mark as brainliest

Answer:

-44

Step-by-step explanation:

Basically It's like 4x11, but you put a negative sign.

Answer:

C.

Step-by-step explanation:

Answer:

4/15 and 0.26

Step-by-step explanation:

Here, we want to write the fraction and decimal that matches the division problem

The division problem is simply 4/15 in fraction

In decimal, this is 0.2667

Answer:

uhhhh 19$

Step-by-step explanation:cuz

Answer:

$20

Step-by-step explanation:

29 + 11 = 40

40 ÷ 2 = 20

Extending answer to be able to send.

Answer:

Step-by-step explanation:

Some of the expressions that can be derived that have the values of 12 are:

i. 2a = 2 x 6

      = 12

ii. 3b = 3 x 4

        = 12

iii. (b  + c) x a = (4 - 2) x 6

                = 2 x 6

                = 12

iv. 2b + [tex]c^{2}[/tex] = (2 x 4) + (-2 x -2)

                = 8 + 4

                = 12

v. [tex]b^{2}[/tex] -  [tex]c^{2}[/tex] = (4 x 4) - (-2 x -2)

             = 16 - 4

             = 12

vi. [tex]c^{4}[/tex] - b = (-2 x -2 x -2 x -2) + 4

             = 16 - 4

             = 12

Answer:

[tex]8\frac{1}{8}[/tex]

Step-by-step explanation:

[tex]3\frac{1}{8} \times 2 \frac{3}{5}[/tex]

[tex]=\frac{25}{8} \times \frac{13}{5}[/tex]

[tex]=\frac{25\times13}{8\times5}[/tex]

[tex]=\frac{325}{40}[/tex]

[tex]=\frac{325/5}{40/5}[/tex]

[tex]=\frac{65}{8}[/tex]

[tex]=8\frac{1}{8}[/tex]

Hope this helps :)

Answer: The zeroes are -2/3 and 4

Step-by-step explanation: The factored form you get from this is (3x+2) and (x-4), set these equal to 0. x-4=0 and 3x+2=0.

The zeroes of the function in the order from least to greatest will be - 2/3 and 4.

The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.

It is a method for dividing a polynomial into pieces that will be multiplied together. At this moment, the polynomial's value will be zero.

The equation is given below.

f(x) = 3x² – 10x – 8

Then the zeroes of the function are given as,

f(x) = 0

3x² – 10x – 8 = 0

3x² – 12x + 2x – 8 = 0

3x(x – 4) + 2(x – 4) = 0

(x – 4)(3x + 2) = 0

x = 4, - 2/3

The zeroes of the function in the order from least to greatest will be - 2/3 and 4.

More about the solution of the equation link is given below.

https://brainly.com/question/545403

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Answer:

$206.25

Step-by-step explanation:

Regular price of item = R= $375

Price after 45% off = (1-0.45) x 375

                               =$ 206.25

Answer:

49 r. 3

[tex]3 \div 148 \\ 3 \div 14 = 4 \\ 3 \div 28 = 9 \\ \\[/tex]

the answer is 49 but since three can go into 148 evenly the remainder is 3

Answer: [tex](y-y_1)=m(x-x_1)\ or \ (y-y_2)=m(y-y_2)[/tex]

Step-by-step explanation:

Point slope form: [tex](y-b)=n(x-a)[/tex] , where n=slope , (a,b) is the point through which line passes.

If slope of the line = m and line passes through [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] :-

[tex](y-y_1)=m(x-x_1)\ or \ (y-y_2)=m(y-y_2)[/tex]

So, the equivalent equations are :

[tex](y-y_1)=m(x-x_1)\ or \ (y-y_2)=m(y-y_2)[/tex]

Answer:

Your answer would be A: "college savings account."

Step-by-step explanation:

Got it right on edge.

College savings account is the option  for college funding can parents start when children are still very young

College financial aid pays for the difference between what a school costs to attend and the amount a family will pay from their own money.

We need to find Which option for college funding can parents start when children are still very young.

Among the two options we have to choose College savings account.

Through this savings plan, you can contribute more than a traditional savings plan and take out the money to pay for college-related expenses without any penalty or tax.

Hence College savings account option  for college funding can parents start when children are still very young

To learn more on College funding click:

https://brainly.com/question/18614442

#SPJ6

Answer:

5.9125in^2

Step-by-step explanation:

Step one:

Given data

Dimension of square= 5.25 in

Area of sqaure= 5.25^2= 27.5625  in^2

We are told that the sides of the circle touch the sides of the square

hence the diameter of the circle is 5.25in

radius= 5.25/2= 2.625 in

Area of  circle= πr^2

Area of circle = 3.142*2.625^2

Area of circle=3.142*6.890625

Area of circle= 21.65 in^2

Step two:

The area that is not inside the circle

=Area of square-Area of circle

=27.5625- 21.65

=5.9125in^2

Answer:

Step-by-step explanation:

CA and CB are perpendicular to OA and OB, so the angles A and B are right angles.

Angles AOB and ACB sum to 180°

Correct option is 2) 44°

Answer:

Step-by-step explanation:

the percent increase is

(50-20/20)*100=(30/20)*100=150

150% increase

Answer:

(A) Parallelogram is the right answer.

Answer:

1. 8

2. 16

Step-by-step explanation:

8/4=2

64/4=16

Answer:

The answers are

1. x=8

2. x=16

Answer:

[tex](g - f)(x) = log(x-3)- \sqrt[3]{12x +1} + 2[/tex]

Step-by-step explanation:

Given

[tex]f(x) = \sqrt[3]{12x +1} + 4[/tex]

[tex]g(x) = log(x-3)+6[/tex]

Required

Determine (g - f)(x)

In functions:

[tex](g - f)(x) = g(x) - f(x)[/tex]

So, we have:

[tex](g - f)(x) = log(x-3)+6 - (\sqrt[3]{12x +1} + 4)[/tex]

Open bracket

[tex](g - f)(x) = log(x-3)+6 - \sqrt[3]{12x +1} - 4[/tex]

Collect Like Terms

[tex](g - f)(x) = log(x-3)- \sqrt[3]{12x +1} - 4+6[/tex]

[tex](g - f)(x) = log(x-3)- \sqrt[3]{12x +1} + 2[/tex]

Answer:

[tex]→(g - f)(x) = g(x) - f(x) \\ → (log(x - 3) + 6) - (\sqrt[3]{12x + 1} + 4) \\→ log(x - 3) + 6 - \sqrt[3]{12x + 1} - 4 \\→\boxed{ log(x - 3) - \sqrt[3]{12x + 1} + 2}✓[/tex]

Answer:

c=72

Step-by-step explanation:

8

=

9

8

⋅

8

=

8

⋅

9

Answer:

91

Step-by-step explanation:

For questions like these, you multiply the denominator times what it equals

Like in this case you do 8x9

I hope this helps!

I'm not sure if it's correct...........

Answer:

$162

Step-by-step explanation:

10% of 180 is 18

180-18=162

[tex]\tt{PQ=TS }[/tex]

[tex]\tt{ PW=TW }[/tex]

[tex]\tt{ QW=SW }[/tex]

SO,

it is S-S-S

side-side-side