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Masja [62]
3 years ago
12

The area of a rectangular desk is given by the trinomial

la1" title=" d^{2} -7d-18" alt=" d^{2} -7d-18" align="absmiddle" class="latex-formula">.what are the possible dimensions of the desk? Use factoring.
Mathematics
1 answer:
SSSSS [86.1K]3 years ago
4 0
D^2-7d-18


d -9


d +2


(d-9)(d+2)



d-9=0 d=9


d+2=0 d=-2
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What is the domain of the profit function P = 7m + 12n?
Dahasolnce [82]

Answer:

D

Step-by-step explanation:

without knowing anything about the background of the function and what it is used for, I give it the max. possible domain (the set or interval of all possible input values).

and so,

Defined for all m >= 0 and n >= 0.

there is no information provided that would eliminate m = 0 or n = 0.

4 0
2 years ago
Let f(x) = -20x2 + 14x + 12 and g(x) = 5x - 6. Find f/g and state its domain.
UkoKoshka [18]

Solution

f(x) = -20x^{2} +14x + 12 and g(x) = 5x - 6.

(f/g)(x) = \frac{f(x)}{g(y)}

(f/g)(x) = \frac{-20x^{2}+14x +12 }{5x - 6}

<u>Step 1: </u>Now we have to factorize the numerator.

f(x) = -20x^2 + 14x + 12

Factor out -2, we get

= -2 (10x^2 - 7x - 6)

Now we can factorize 10x^2 - 7x - 6                  

f(x) = -2(2x + 1) (5x - 6)

<u>Step 2: </u>Plug in the factors

(f/g)(x) = \frac{-2 (2x +1)(5x - 6)}{(5x - 6)}

<u>Step 3:</u> Cancel out the common factor (5x - 6) from the numerator and the denominator, we get

(f/g)(x) = -2(2x +1) = -4x -2

Since -4x -2 is linear expression, the domain is all the real numbers.

Therefore, the answer is –4x – 2; all real numbers

Thank you :)

4 0
3 years ago
Find the circumference of the pizza to the nearest hundredth.
Ludmilka [50]

Complete Question

Find the circumference of the pizza to the nearest hundredth.

When Diameter = 18 in.

Answer:

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Step-by-step explanation:

A pizza is circular in shape.

The formula for the circumference of a circle is given as:

πD

Where D = Diameter

From the above question,

Diameter = 18 inches

Hence,

Circumference of the circular pizza = π × 18 inches

= 56.548667765 inches

Approximately = 56.55 inches

8 0
3 years ago
A conical hole is made in a cylinder. The axis of symmetry of a cone is the same as that of the cylinder. The cylinder has a rad
zlopas [31]

Answer:

C.O.G is 2.71 cm from the base

Step-by-step explanation:

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7 0
3 years ago
A Harry Potter film made 93 million dollars on opening day. A Star Wars film made 31 million dollars in opening day. How much mo
Liono4ka [1.6K]

Answer:

The Harry Potter film made 62 million dollars more.

Step-by-step explanation:

93-31=62

6 0
3 years ago
Read 2 more answers
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