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Serggg [28]
3 years ago
13

Solve the inequality ||x-4|-2|<3

Mathematics
1 answer:
Shkiper50 [21]3 years ago
4 0

Answer: Solve the inequality:

||x-4|-2|<3

Step-by-step explanation:Solve the inequality ||x-4|-2|<3

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Question 9
kiruha [24]

The slope of the linear equation is 20 and the y-intercept is 150

<h3>What is a Slope?</h3>

Slope measures how steep a straight line is. It is described as rise over run.

The slope of the linear equation can be found as follows;

He opens the account with $150 and he plans to save $20 each week. Therefore,

let

x = number of weeks

Therefore,

  • y = 20x + 150

where

y = amount in his account after x number of weeks.

Using the slope intercept equation,

<h3>Slope intercept equation:</h3>
  • y =mx + c

where

m = slope

c = y-intercept

Therefore, the slope of the linear equation is 20 and the y-intercept is 150

learn more on slope here: brainly.com/question/8057577

7 0
2 years ago
Twelve large bottles of water cost $9.How many bottles can you buy for $3?
Andrej [43]

Answer: 4 large bottles of water for $3.

Step-by-step explanation: To find how many large water bottles you can buy with $3, you’ll have to divide 12 by 3 which equals to 4. You can check your answer by multiplying 4 x 3 which equals to 12, which is the original amount of large water bottles you can buy for $9.

5 0
3 years ago
What are the domain and range of the function x^2-2x^2-4?
jonny [76]

{x}^{2}  - 2 {x}^{2}  - 4 \\  -  {x}^{2}  - 4

The Quadratic Function has the domain as the set of all real numbers.

For the range, start from minimum value to maximum value.

But because the parabola is downward as a < 0. Thus, there are no minimum value but the maximum value instead.

Therefore the range is y <= -4

7 0
3 years ago
The vertex of this parabola is at (2, -4). When the y-value is -3, the x-value is -3. What is the coefficient of the squared ter
lyudmila [28]

Answer:

The squared term is 1/25

Step-by-step explanation:

The parabola equation in the vertex form is

y = a \times (x - h)^2 + k

where point (h,k) is the vertex and a is the squared term. In this case h = 2 and k = -4. On the other hand, we know that y = -3 and x = -3 are in the parabola. Replacing these values in the formula gives

-3 = a \times (-3 - 2)^2 - 4

Solving for a

-3 + 4 = a \times (-5)^2

1 = a \times 25

a = \frac{1}{25}

6 0
3 years ago
A cell site is a site where electronic communications equipment is placed in a cellular network for the use of mobile phones. Th
Olegator [25]

Answer:

(a) 74553

(b) 172120

(c) 234802

Step-by-step explanation:

Given

y = \frac{340110}{1 + 377e^{-0.259t}}

Solving (a): 1998

Year 1998 means that:

t =1998 -  1980

t =18

So, we have:

y = \frac{340110}{1 + 377e^{-0.259*18}}

y = \frac{340110}{1 + 377e^{-4.662}}

y = \frac{340110}{1 + 3.562}

y = \frac{340110}{4.562}

y = 74553 --- approximated

Solving (b): 2003

Year 2003 means that:

t = 2003 -  1980

t =23

So, we have:

y = \frac{340110}{1 + 377e^{-0.259*23}}

y = \frac{340110}{1 + 377e^{-5.957}}

y = \frac{340110}{1 + 0.976}

y = \frac{340110}{1.976}

y = 172120 --- approximated

Solving (c): 2006

Year 2006 means that:

t = 2006 -  1980

t =26

So, we have:

y = \frac{340110}{1 + 377e^{-0.259*26}}

y = \frac{340110}{1 + 377e^{-6.734}}

y = \frac{340110}{1 + 0.4485}

y = \frac{340110}{1.4485}

y = 234802 --- approximated

3 0
3 years ago
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