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skad [1K]
3 years ago
6

gisele runs a company that makes tablet computers. Each tablet requires an employee to assemble it and an employee to test it. T

here are 25 employees or fewer available, depending on who is out sick or on vacation. Write an inequality that represents the number of employees gisele has available to do work and then graph the solution.

Mathematics
2 answers:
spayn [35]3 years ago
8 0

Answer:

x\leq 25

Step-by-step explanation:

Each tablet requires an employee to assemble it and an employee to test it. There are 25 employees or fewer available, depending on who is out sick or on vacation.

Let there be x employees.

So, the inequality that represents the number of employees Giselle has available to do work is x\leq 25

Sever21 [200]3 years ago
4 0
You will need to show all the answers that are at 25 or less.

Please see the attached paper for the inequality and the graph of the possible solutions.

A filled in circle means to include that value.

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The surface of a right cylinder is 324 pi cm^2. If the radius and height are equal, find the length of the diameter
DanielleElmas [232]

Answer:

The length of the diameter is 18 cm

Step-by-step explanation:

In this question, we are asked to calculate the diameter of a right cylinder, given that the radius and the height are equal and given the value of the surface area.

Mathematically, the surface area of a cylinder can be represented by the equation;

A = 2 π r( r + h)

since r = h, we can say h = r

Thus, the equation becomes;

A = 2 π r( r + r)

A = 2 π r(2r)

A = 4 π r^2

From the question, we can see that the value of A = 324 π

substituting this, we have;

324 π = 4 π r^2

4r^2 = 324

r^2 = 324/4

r^2 = 81

r = root of 81

r = 9 cm

The value of the diameter is two times the radius

Hence D = 2r = 2 * 9 = 18 cm

8 0
4 years ago
15 points Please help!<br> What is the product? 4n/4n-4*n-1/n+1
jeka57 [31]
N/n+1
n-1/n-1=1
result is n/n+1
5 0
3 years ago
I’ll give brainliest if you answer this correctly
olasank [31]

Answer:

B  y = (-7/4)x - 7

Step-by-step explanation:

Slope intercept form is

y = mx + b

Where m is the slope and b is the y-intercept

m = rise/run

m = ∆y/∆x

m = (y₂ - y₁) / (x₂ - x₁)

m = (-7 - 0) / (0 - -4)

m = -7/4

From the graph the y-intercept

b = -7

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

y = (-7/4)x - 7

4 0
3 years ago
The polynomial p(x)=3x^3-20x^2+37x-20 has a known factor of (x-4). Rewrite p(x) as a product of linear factors. p(x) =
vesna_86 [32]

Answer:

p(x) = (3x^{2} - 8x + 5)(x - 4)

Step-by-step explanation:

p(x) has degree 3

(x - 4) has degree 1

So p(x) can be rewritten as a polynomial of degree 2 multiplying (x-4)

So

p(x) = (ax^{2} + bx + c)(x - 4)

To find a, b and c, we have to divide p(x) by x - 4.

So

Finding a:

Dividing the first term of p(x) by x - 4.

\frac{3x^{3}}{x - 4} = 3x^{2}

So a = 3.

Now multiplying 3x² by, x - 4, we have:

3x^{2}(x - 4) = 3x^{3} - 12x^{2}

Subtracting p(x) from this:

3x^{3} - 20x^{2} + 37x - 20 - (3x^{3} - 12x^{2}) = 3x^{3} - 20x^{2} + 37x - 20 - 3x^{3} + 12x^{2} = -8x^{2} + 37x - 20

Finding b:

Dividing the first term, after the subtraction, by x - 4.

\frac{-8x^{2}}{x - 4} = -8x

So b = -8.

Multiplying -8x by x - 4, we have:

-8x(x-4) = -8x^{2} + 32x

Then

-8x^{2} + 37x - 20 - (-8x^{2} + 32x) = -8x^{2} + 37x - 20 + 8x^{2} - 32x = 5x - 20

Finding c:

\frac{5x}{x - 4} = 5

So c = 5.

Just to verify if the remainder is 0.

5(x - 4) = 5x - 20

5x - 20 - (5x - 20) = 0

Ok

Then:

p(x) = (ax^{2} + bx + c)(x - 4)

p(x) = (3x^{2} - 8x + 5)(x - 4)

7 0
3 years ago
12. On a math test, Ana writes 9 as the solution to 27.<br> PART A<br> Find the correct solution.
scoray [572]

Answer:

11. B.

12. 3

Step-by-step explanation:

\sqrt{81}-\sqrt{25}=9-5=4

\sqrt[3]{27}=3 since 3^{3}=27

4 0
3 years ago
Read 2 more answers
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