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
MrRa [10]
3 years ago
5

The length of a rectangle is 7 inches less than twice the width, w, of the rectangle.

Mathematics
1 answer:
Ivan3 years ago
4 0

Answer:

Step-by-step explanation:

Let w represent the width of the rectangle.

The length of a rectangle is 7 inches less than twice the width, w, of the rectangle. It means that the length is (2w - 7) inches

Part A

The function that gives the area as a function of the width is

A(w) = w(2w - 7)

Part B:

If the area of the rectangle is 60 square inches, it means that

w(2w - 7) = 60

2w² - 7w = 60

2w² - 7w - 60 = 0

2w² + 8w - 15w - 60 = 0

2w(w + 4) - 15(w + 4) = 0

2w - 15 = 0 or w + 4 = 0

w = 15/2 or w = - 4

Since w cannot be negative, then

w = 15/2 = 7.5 inches

You might be interested in
Can somebody please help me !!!!!!!!!47$4&
Andrews [41]

Answer:

30 celsius

Step-by-step explanation:

(86°F − 32) × 5/9 = 30°C

5 0
3 years ago
Read 2 more answers
50 POINTS !!<br><br><br> PLEASE HELP !! ILL GIVE BRAINLIEST TO THE RIGHT ANSWERS.
Nataliya [291]
<h3>Answer:   9</h3>

========================================================

Work Shown:

Apply the pythagorean theorem

a^2 + b^2 = c^2

12^2 + b^2 = 15^2

144 + b^2 = 225

b^2 = 225-144

b^2 = 81

b = sqrt(81)

b = 9

5 0
3 years ago
Read 2 more answers
12x+7&lt;−11 AND5x−8≥4012
Arte-miy333 [17]

Answer:

No solution

Step-by-step explanation:

Given: 12x+7 and  5x-8\geq 40

Solve both inequality separately.

12x+7              Subtraction property of inequality

12x

12x

x

x

and

5x-8\geq 40               Addition property of inequality

5x\geq 40+8

5x\geq 48

x\geq \dfrac{48}{5}

Hence, the solution of the compound inequality intersection of both solutions.

Please find attachment for number line solution.

No solution

8 0
3 years ago
Read 2 more answers
Which number line shows the given inequality? <br><br> m &lt; 7.5
nekit [7.7K]
It's A because 7.5 is the starting point but it's not included so that point is circled.
7 0
3 years ago
Read 2 more answers
2×|x|+19=167 find the values of x
Nuetrik [128]

Answer:

x = 74

Step-by-step explanation:

2 * x + 19 = 167

2x + 19 = 167

So we have to subtract 19 from both sides

2x = 148

Divide both sides by 2

x = 74

3 0
3 years ago
Other questions:
  • Suppose the primes p and q used in the rsa algorithm are consecutive primes. how would you factor n
    6·1 answer
  • the cost of 500000 worth of 30 year term life insurance for Edna is $121.04 per month if Edna's employer covers 80% of this cost
    10·1 answer
  • Hi can u help me plz
    9·1 answer
  • I am tired of this so here is the last time and i'm gonna waste my points since nobody in the world actually cares
    6·1 answer
  • ASAP:(<br> Match each system of equations to the diagram that represents its solution.
    8·1 answer
  • If f(x)=x^1/2-x and g(x)=2x^3-x^1/2-x find f(x)-g(x)
    15·2 answers
  • Find 39.5% of 373. Round to the nearest hundredth
    14·1 answer
  • Will give brainliest to the correct answer (no links or account will be reported) :)
    9·1 answer
  • What is 6089385829582858385+18383059285829492? Try with no calculator. :)
    6·1 answer
  • URGENT I REALLY NEED THIS DONE, IM GIVING OUT 30 POINTS!
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!