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kozerog [31]
3 years ago
15

Some one please help

Mathematics
1 answer:
LUCKY_DIMON [66]3 years ago
7 0

Answer: d

|4x + 1| ≤ 5

⇒ - 5 ≤ 4x + 1 ≤ 5

⇔ -6 ≤ 4x ≤ 4

⇔ -1.5 ≤ x ≤ 1

⇒ x ∈ [-1.5; 1]

Step-by-step explanation:

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Which graph represents the function on the interval [-3,3] <br> F(x)=[x]-2
julia-pushkina [17]
<h2>Answer:</h2>

Shown below

<h2>Step-by-step explanation:</h2>

The most famous of the step functions is the greatest integer function, which is denoted by the parent function [x].

So, this function is defined as:

f(x)=[x] \ the \ greatest \ integer \ less \ than \ or \ equal \ to \ x.

These are the characteristics of this function:

  • The domain of the function is the set of all real numbers.
  • The range of the function is the set of all integers.
  • The graph has a y-intercept at (0,0) and x-intercept in the interval [0,1)
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  • The graph jumps vertically one unit at each integer value.

The function F(x)=[x]-2 represents the parent function shifted 2 units downward. Therefore, the correct option has been chosen in the attached figure.

3 0
3 years ago
Use division to determine whether the ratios form a proportion.
Leya [2.2K]
A. yes. they form a proportion
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3 0
3 years ago
Read 2 more answers
The length of a rectangle is 4 more than the width. Find the width of the rectangle if the area is 32.
Serggg [28]

Answer:

length = 8

width = 4

Step-by-step explanation:

Area = length x breadth

Let x represent the width

length = x + 4

32 = x × (x + 4)

32 = x² + 4x

x² + 4x  - 32  = 0

solving using quadratic equation =

(x² - 4x) -32 + 8x

x = 4 or -8

since width cannot be a negative number, we would use 4

7 0
3 years ago
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Tanya [424]

Answer:

Cubic feet = Length (3 1/3 feet) x Width (2 2/3 feet) x Height (2 1/3 feet)

Step-by-step explanation:

3 1/3 x 2 2/3 x 2 1/3 = approximately 20.74 cubic feet

3 0
2 years ago
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