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
iogann1982 [59]
3 years ago
14

You are building a new wooden deck on your house. The old deck had a length of (2x + 1) feet and a width of (3x – 3) feet. You w

ant to make it bigger, so you are going to add x feet to the width. The area of the new deck will be 493 square feet. What is the length and width of the new deck?
HELPPP
Mathematics
2 answers:
liberstina [14]3 years ago
6 0

Answer:

Length= 17 feet

Width= 29 feet

Step-by-step explanation:

<u>Original</u>

Length= (2x +1) ft

Width= (3x -3) ft

<u>New deck</u>

Length= (2x +1) ft

Width

= (3x -3 +x) ft

= (4x -3) ft

Area of deck= length ×width

493= (2x +1)(4x -3)

<em>Expand</em><em>:</em>

493= 2x(4x) +2x(-3) +1(4x) +1(-3)

493= 8x² -6x +4x -3

493= 8x² -2x -3

8x² -2x -3 -493= 0

8x² -2x -496= 0

<em>Divide</em><em> </em><em>by</em><em> </em><em>2</em><em> </em><em>throughout</em><em>:</em>

4x² -x -248= 0

<em>Factorise</em><em>:</em>

(x -8)(4x +31)= 0

x -8=0 or 4x +31= 0

x= 8 or 4x= -31 (reject)

Length of new deck

= 2(8) +1

= 16 +1

= 17 ft

Width of new deck

= 4(8) -3

= 32 -3

= 29 ft

vichka [17]3 years ago
5 0

Answer:

suggestions algebra calculator or math

You might be interested in
I need help please!!!
Kisachek [45]
Marc would have7 bags of lunch
3 0
3 years ago
Porfabor necesito ayuda en la esta pregunta. ¿Encuentra cuatro pares ordenados de la siguiente función? f(x) = X3 – 2X2 – 2
zlopas [31]

Answer:

(0, -2), (1, -3), (2, -2) y (3, 7) son pares ordenados de f(x) = x^{3}-2\cdot x^{2}-2.

Step-by-step explanation:

Un par ordenado es un elemento de la forma (x,f(x)), donde x es un elemento del dominio de la función, mientras f(x) es la imagen de la función evaluada en x. Entonces, un par ordenado que está contenido en la citada función debe satisfacer la siguiente condición:

La imagen de la función existe para un elemento dado del dominio. Esto es:

x \rightarrow f(x)

Dado que f(x) es una función polinómica, existe una imagen para todo elemento x. Ahora, se eligen elementos arbitrarios del dominio para determinar sus imágenes respectivas:

x = 0

f(0) = 0^{3}-2\cdot (0)^{2}-2

f(0) = -2

(0, -2) es un par ordenado de f(x) = x^{3}-2\cdot x^{2}-2.

x = 1

f(1) = 1^{3}-2\cdot (1)^{2}-2

f(1) = -3

(1, -3) es un par ordenado de f(x) = x^{3}-2\cdot x^{2}-2.

x = 2

f(2) = 2^{3}-2\cdot (2)^{2}-2

f(2) = -2

(2, -2) es un par ordenado de f(x) = x^{3}-2\cdot x^{2}-2.

x = 3

f(3) = 3^{3}-2\cdot (3)^{2}-2

f(3) = 7

(3, 7) es un par ordenado de f(x) = x^{3}-2\cdot x^{2}-2.

(0, -2), (1, -3), (2, -2) y (3, 7) son pares ordenados de f(x) = x^{3}-2\cdot x^{2}-2.

6 0
3 years ago
The American Academy of Periodontology released a survey, revealing that 27% of US adults admit they lie to their dentist about
Y_Kistochka [10]

Answer:

A: H0: p = 0.27; Ha: p > 0.27

Step-by-step explanation:

The parameter is the population proportion.

According to the survey conducted by the American Academy of Periodontology, the proportion of of US adults who admit they lie to their dentist about how often they floss their teeth is 27%.

This means the null hypothesis is :

H_0: p=0.27

Periodontist Dr. Garcia believes that the percentage seems low, so his claim is that the percentage should be more than 27%.

This means, the alternate hypothesis is

H_{a}:p \: > \: 0.27

Therefore the correct choice is A.

5 0
4 years ago
Help me please!!!!!!!​
Zolol [24]

Answer:

C (-6,-8) → C' (6,8)

D (-2,-8) → D' (2,8)

E (-2,-4) → E' (2,4)

F (-6,-4) → F' (6,4)

Step-by-step explanation:

When you rotate a point 180° counterclockwise about the origin, the point A (x,y) becomes A' (-x,-y). So, if the points are positive, they will become negative.

Because all the points are negative, rotating them 180° counterclockwise will make them positive.

Hope that helps.

7 0
3 years ago
Which linear inequality is represented by the graph?
skad [1K]
I think it’s y=3x-1
I may be wrong but at least I tried
4 0
3 years ago
Other questions:
  • Last year mrs. Washington had a taxable income of $48,000 and paid about 20% in taxes. This year she contributed $3,000 to a tra
    9·1 answer
  • A marble is selected at random from a jar containing 4040 red​ marbles, 5050 yellow​ marbles, and 1010 green marbles. find the t
    15·1 answer
  • ed has 8 pieces of candy which represents 40% of all the candy in his home, how many pieces are in his home
    7·1 answer
  • Write randoms equivalent fractions , decimals , and percentages
    9·2 answers
  • HELP NOW B's!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
    9·1 answer
  • A parallelogram can be formed from 2 equal triangles. True or false. Please give a counterexample if it is FALSE
    14·1 answer
  • Who listens to A.J.R or Oliver Tree
    7·1 answer
  • // 5th Grade Math //
    10·2 answers
  • Help!!
    9·1 answer
  • ASAP SOMEONE PLEASE ANSWER THIS PROBLEM FOR ME AND IF YOU DO THANK YOU!! :D
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!