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
nikitadnepr [17]
3 years ago
12

the length of a rectangle is 9 inches less than twice the width. if the perimeter of the rectangle is 84 inches, find the dimens

ions of the rectangle.
Mathematics
1 answer:
Alexus [3.1K]3 years ago
5 0

translate each statement into mathematical language

 

length is nine inches less than twice width.    L = 2W - 9

perimeter is 84 inches                                   2L +2W = 84

 

Substitute the expression for L (2W-9) for L in the second equation resulting in the follwing

 

2(2W-9) + 2W = 84

 

4W - 18 + 2W = 84

 

(4W+2W) = 84+18  

6W =  102

W = 102/6 = 51/3

 

L = 2(51/3) - 9

= L= 17-9

L=6

You might be interested in
The sum of a number wand 4 is more than -12.
Mazyrski [523]
The answer is w + 4 > -12
4 0
2 years ago
How many complex zeros does the polynomial function have?<br> f(x)=−3x^6−2x^4+5x+6
REY [17]

one way would be to factor

I can't factor it so we will have to use Descartes' Rule of Signs which is helpful for finding how many real roots you have


it goes like this:

for a polynomial with real coefients, consider f(x)=-3x^6-2x^4+5x+6.

after arranging the terms in decending order in terms of degree, count how many times the signs of the coeffients change direction and minus 2 from that number until you get to 1 or 0. that will be the number of even roots the function can have

We have (-, -, +, +). the signs changed 1 times, so it has 1 real positive root


to get the negative roots, we evaluate f(-x) and see how many times the root changes

f(-x)=-3x^6-2x^4-5x+6

signs are (-, -, -, +). there was 1 change in sign

so the function has 1 real negative root



a total of 2 real roots


a function of degree n can have at most, n roots


our function is degree 6 so it has 6 roots

if 2 are real, then the others must be complex

6-2=4 so there are 4 complex roots


you can also show that there are only 2 real roots by using a graphing utility to see that there are only 2 real roots

7 0
2 years ago
Write that down the equation for the lines that is the graphs are depicted below
erastovalidia [21]
  • A(1,2)

Find slope of line (m)

\\ \sf\longmapsto m=\dfrac{2-0}{1-0}

\\ \sf\longmapsto m=2

Putting in y=mx+b

\\ \sf\longmapsto y=mx+b

\\ \sf\longmapsto 2=2(1)+b

\\ \sf\longmapsto 2=2+b

\\ \sf\longmapsto b=2-2=0

Equation of the line

\\ \sf\longmapsto y=2x

4 0
3 years ago
Read 2 more answers
University Theater sold 465 tickets for a play. Tickets cost $23 per adult and $13 per senior citizen. If total receipts were $7
liq [111]

<u>Answer:</u>

355 senior citizen tickets were sold.

<u>Step-by-step explanation:</u>

Assuming a to the the ticket of adults and s to be the ticket of senior citizens, we can write two equations as:

a +s=465 --- (1)

23a+13s=7145 --- (2)

From equation 1, a=465-s.

Substitute a in equation 2 to get:

23 (465-s) + 13s = 7145

10695 - 23s +13s =7145

-10s = -3550

s = 355

Therefore, there were 355 senior citizen tickets sold.

8 0
2 years ago
6. In the expression shown prepresents a rational number. 4 p What value of p makes the expression equal a number less than 4?​
krek1111 [17]

Answer:

4 - p

Step-by-step explanation:

hope this helped :)

6 0
3 years ago
Other questions:
  • Y = 6x + 8 <br> y = –4x – 2
    13·2 answers
  • G-GPE-S &amp; G-GPE-7: Practice_2
    7·1 answer
  • Find the probability of rolling factors of 3
    10·1 answer
  • (8x² + 3x + 9) - (6x² + x + 6).
    14·1 answer
  • Triangle Abc is similar to triangle xyz.calculate the length of side yz
    6·1 answer
  • Write the standard form of the line that contains a slope of and y-intercept of 3. Include your work in your final answer.
    11·1 answer
  • Assume that random guesses are made for eight multiple choice questions on an SAT test, so that there are n= 8 trials, each with
    14·1 answer
  • Please check answer!
    13·1 answer
  • Find the value of given expression<br><br><img src="https://tex.z-dn.net/?f=%20%5Csqrt%7B35%20%5Ctimes%2035%7D%20" id="TexFormul
    14·2 answers
  • What is 125.1 ÷ 6 and if you do how do you do it?
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!