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diamong [38]
3 years ago
12

Explain why the equation 5|x|-7=7 has only one solution.

Mathematics
1 answer:
son4ous [18]3 years ago
3 0

According to the condition, this equation has <u>two</u> solutions: -14/5 and 14/5.

Short explanation:

5|x|=14; ⇔ |x|=14/5; ⇒

\left[\begin{array}{ccc}x= -\frac{14}{5} \\x= \frac{14}{5} \\\end{array}

PS. it's correct, if to substitute the values of 'x' into the condition/equation.

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Alana and two of her friends evenly split the coast of the meal. They determine that each person owes $14.68. What’s the equatio
irina1246 [14]

Answer:

44.04

Step-by-step explanation:

it is 44.04.

4 0
3 years ago
If a sequence of 8 consecutive odd integers with increasing values has 9 as its seventh term. What is the sum of the terms of th
klemol [59]

Answer:

Sum = 32

Step-by-step explanation:

Given

Sequence = Consecutive Odds

T_7 = 9

Required

The sum of the terms

A sequence of odd number has a difference of 2. So, the sequence is represented as:

S = \{-3,-1,1,3,5,7,9,11\}

Add up all terms in the sequence

Sum = -3-1+1+3+5+7+9+11

Sum = 32

8 0
3 years ago
2. Compare the function ƒ(x) = –x^2 + 4x – 5 and the function g(x), whose graph is shown. Which function has a greater absolute
sergij07 [2.7K]

Answer:

g(x)

Step-by-step explanation:

The vertex of g(x) as shwon in the graph is located in the point wich coordinates are (3.5,6.25) approximatively

We need to khow the coordinates of f(x) vertex

  • Here is a way without derivating:

f(x) = -x² + 4x -5

let a be the leading factor, b the factor of x and c the constant:

  • a= -1
  • b= 4
  • c= -5

The coordinates of a vertex are: (\frac{-b}{2a} , f(\frac{-b}{2a}) )

-b/2a = -4/ (-1*2) = 4/2 = 2

f(2)= -2²+4*2-4 = -4+4-4 = -4

obviosly f(x) has a minimum wich less than g(x)'s maximum

3 0
3 years ago
If the height is 12 inches and the diameter is 16 inches, what is the volume?
tigry1 [53]

Answer:

V = πr²h

V = π(8)^2×12 r = ½diameter= 16/2=8

V = 64π×12

V= 64 × 3.14 ×12

V = 2,411.52 cubic inches.

Hope it helps!

4 0
3 years ago
Helppppp i dont know pslßss​
Natali5045456 [20]

Answer:

width=3

Step-by-step explanation:

area=length X width

length=4 X width

=>area=4 X width X width

=>area=(2 X width)^2

=>36=(2 X width)^2

=>6=2 X width

=>width=3

5 0
3 years ago
Read 2 more answers
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