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hjlf
3 years ago
8

12. How would you graph the inequality x is less than or equal to -4 on a

Mathematics
1 answer:
Dovator [93]3 years ago
5 0

Answer:

the second option.

-6 -5 -4 -3 -2 -1 0

<-------•

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What is the answer to -7x-3x+2=-8x-8
katen-ka-za [31]
-7x-3x+2=-8x-8      | combine like terms
-10x+2=-8x-8         | add 8x
-2x+2=-8               | subtract 2
-2x=-10                 | divide by -2
x=5

7 0
2 years ago
Read 2 more answers
Find the volume of the figure. If necessary, round the answer to the nearest whole number.
lisabon 2012 [21]

Answer:

V = 108 ft³

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right<u> </u>

<u>Geometry</u>

Volume of a Rectangular Prism Formula: V = lwh

  • <em>l</em> is length
  • <em>w</em> is width
  • <em>h</em> is height

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify variables</em>

<em>l</em> = 4 ft

<em>w</em> = 3 ft

<em>h</em> = 9 ft

<u>Step 2: Find Volume</u>

  1. Substitute in variables [Volume of a Rectangular Prism Formula]:               V = (4 ft)(3 ft)(9 ft)
  2. Evaluate [Order of Operations]:                                                                      V = 108 ft³
6 0
3 years ago
Cant solve this please help me <br><br> 9x-2y=8 <br> Y=2x+1
ki77a [65]
Substitute 2x+1 where y is in the equation:

9x-2(2x+1)=8

Then distribute the -2(2x+1)

9x-4x+2=8

Then combine like terms (the x)

5x+2=8

Then do -2 on both side of the equation sign

5x+2=8
- 2 -2

Then you'd get

5x=6

Then divide 5 on both sides

X= 1.2
5 0
2 years ago
Read 2 more answers
You have just opened a new dance club, Swing Haven, but are unsure of how high to set the cover charge (entrance fee). One week
bonufazy [111]

Answer:

a) The demand function is

q(p) = -4 p + 107

b) The nightly revenue is

R(p) = -4 p^2 + 107 p

c) The profit function is

P(p) = -4 p^2 + 133.75 p - 939

d) The entrance fees that allow Swing Haven to break even are between 10.03 and 23.41 dollars per guest.

Step-by-step explanation:

a) Lets find the slope s of the demand:

s = \frac{79-43}{7-16} = \frac{36}{-9} = -4

Since the demand takes the value 79 in 7, then

q(p) = -4 (p-7) + 79 = -4 p + 107

b) The nightly revenue can be found by multiplying q by p

R(p) = p*q(p) = p*( -4 p + 107) = -4 p^2 + 107 p

c) The profit function is obtained from substracting the const function C(p) from the revenue function R(p)

P(p) = R(p) - C(p) = p*q(p) = -4 p^2 + 107 p - (-26.75p + 939) = \\\\-4 p^2 + 133.75 p - 939

d) Lets find out the zeros and positive interval of P. Since P is a quadratic function with negative main coefficient, then it should have a maximum at the vertex, and between the roots (if any), the function should be positive. Therefore, we just need to find the zeros of P

r_1, r_2 = \frac{-133.75 \,^+_-\, \sqrt{133.75^2-4*(-4)*(-939)} }{-8} = \frac{-133.75 \,^+_-\, 53.526}{-8} \\r_1 = 10.03\\r_2 = 23.41

Therefore, the entrance fees that allow Swing Haven to break even are between 10.03 and 23.41 dollars per guest.

7 0
3 years ago
a rope that measures 3.98 meters is cut into two pieces. if one peice measures 1.425 meters, what is the length of the other pie
Anna11 [10]
The length of the other piece is 2.555
8 0
3 years ago
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