1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
frozen [14]
3 years ago
9

The area of a rectangular rug is given by the trinomial r^2 - 8r - 33. What are the possible dimensions of the​ rug? Use factori

ng.
Mathematics
1 answer:
Arte-miy333 [17]3 years ago
5 0
Solve for r using factoring:
Solve for r:
r^2 - 8 r - 33 = 0


The left hand side factors into a product with two terms:
(r - 11) (r + 3) = 0

Split into two equations:
r - 11 = 0 or r + 3 = 0

Add 11 to both sides:
r = 11 or r + 3 = 0

Subtract 3 from both sides:
Answer:  r = 11 or r = -3
You might be interested in
What is the circumference of a circle with a radius of 0.8 m? A. 0.64*pi m B. 0.8*pim C. 1.6*pi m D. 2.56*pi m
Paraphin [41]
C = 2πr
C = 2(3.14)(0.8)
C = 2(2.512)
C = 5.024 m

The answer is C.
7 0
3 years ago
If f(x)=2x+sinx and the function g is the inverse of f then g'(2)=
Alexxx [7]
\bf f(x)=y=2x+sin(x)
\\\\\\
inverse\implies x=2y+sin(y)\leftarrow f^{-1}(x)\leftarrow g(x)
\\\\\\
\textit{now, the "y" in the inverse, is really just g(x)}
\\\\\\
\textit{so, we can write it as }x=2g(x)+sin[g(x)]\\\\
-----------------------------\\\\

\bf \textit{let's use implicit differentiation}\\\\
1=2\cfrac{dg(x)}{dx}+cos[g(x)]\cdot \cfrac{dg(x)}{dx}\impliedby \textit{common factor}
\\\\\\
1=\cfrac{dg(x)}{dx}[2+cos[g(x)]]\implies \cfrac{1}{[2+cos[g(x)]]}=\cfrac{dg(x)}{dx}=g'(x)\\\\
-----------------------------\\\\
g'(2)=\cfrac{1}{2+cos[g(2)]}

now, if we just knew what g(2)  is, we'd be golden, however, we dunno

BUT, recall, g(x) is the inverse of f(x), meaning, all domain for f(x) is really the range of g(x) and, the range for f(x), is the domain for g(x)

for inverse expressions, the domain and range is the same as the original, just switched over

so, g(2) = some range value
that  means if we use that value in f(x),   f( some range value) = 2

so... in short, instead of getting the range from g(2), let's get the domain of f(x) IF the range is 2

thus    2 = 2x+sin(x)

\bf 2=2x+sin(x)\implies 0=2x+sin(x)-2
\\\\\\
-----------------------------\\\\
g'(2)=\cfrac{1}{2+cos[g(2)]}\implies g'(2)=\cfrac{1}{2+cos[2x+sin(x)-2]}

hmmm I was looking for some constant value... but hmm, not sure there is one, so I think that'd be it
5 0
3 years ago
Somebody helpppp plzz
Romashka [77]

Answer:

2

Step-by-step explanation:

-2^2=4

4*1/2=2

7 0
3 years ago
Find some means. Suppose that X is a random variable with mean 30 and standard deviation 4. Also suppose that Y is a random vari
mr_godi [17]

COMPLETE QUESTION:

Find some means. Suppose that X is a random variable with mean 30 and standard deviation 4. Also suppose that Y is a random variable with mean 50 and standard deviation 8. Find the mean of the random variable Z for each of the following cases. Be sure to show your work.

a) Z = 35-10X

b) Z = 12X-5

c) Z = X+Y

d) Z = X-Y

e) Z = 2X+2Y

Answer:

a) -265

b) 355

c) 80

d) -20

e) 40

Step-by-step explanation:

The attachment below contains the whole calculations that provides for the answers above

6 0
3 years ago
Agent phelps and agent mabry reviewed and approved case files involving smuggling activities for several area offices. of the 19
KatRina [158]
The ratio of phelps to mabry is 3:2, meaning for every 5 records, phelps approved 3 and mabry 2. So:
190/5= 38
38 x 2=76 cases approved by mabry
☺☺☺☺
6 0
3 years ago
Other questions:
  • A rectangle has a length of 11 meters less than 10 times its width. If the area of the rectangle is 9888 square meters, find the
    14·1 answer
  • (2,3) and (6,5) in point slope form
    14·1 answer
  • Please please help me!!!!!!!! ill give brainliest!!!!
    10·1 answer
  • Is P(3,2) and Q(2,3)represent the same point​
    6·1 answer
  • Consider the quadratic equation 3x^2-6+2x. (a) What is the value of the discriminant? (b) What does the discriminant of the quad
    8·2 answers
  • A model train is inches long. Each car in this train is inches in length. How many cars are in the train?
    11·1 answer
  • Find the perimeter. Simplify your answer completely.
    11·2 answers
  • What is the place value of the underlined digit 6064325. 3972281
    11·1 answer
  • The sum of two numbers is 65 and the difference of those two numbers is -18
    6·1 answer
  • A parabola opens upward. The parabola goes through the point (3, -1), and the vertex is at (2, -2). write the equation of the pa
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!