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Pie
3 years ago
15

The integer halfway between -20 and -16

Mathematics
2 answers:
hram777 [196]3 years ago
6 0
The answer would be -18 because there is one number between it and -16, and also one number between it and -20
MariettaO [177]3 years ago
5 0
-18 will work or maby -
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Simplify.<br><br> 100‾‾‾‾√<br><br> 20<br><br> 10 <br><br> −1<br><br> −25
olga_2 [115]

Answer:

10

Step-by-step explanation:

\sqrt{100} =\sqrt{(10)(10)}  = 10

 

8 0
2 years ago
Use a calculator or a square root table to approximate to the nearest thousandth
Vadim26 [7]

Answer:

- 13.077

Step-by-step explanation:

Here we have to calculate the square root of a certain number using the help of the calculator or a square root table.

The given expression is - \sqrt{ 171 }.

Now, using calculator \sqrt{ 171 } = 13.076696

Now,  - \sqrt{ 171 } = - 13.076696

So, approximate value to the nearest thousandth is - 13.077 ( Answer )

4 0
3 years ago
A passenger rode the subway 2 blocks west and then 10 south. If all the blocks are the same length what is the value of the slop
Nimfa-mama [501]

Answer:

The slope of the line is 5

Step-by-step explanation:

Great question, it is always good to ask away and get rid of any doubts that you may be having.

I have created an illustration which is attached below in order to help you understand the situation. As we are told the passenger rode the subway from point (0 , 0) to point (-2, 0). Then he rode the subway from point (-2, 0) to the final destination of point (-2 , -10). In order to find the value of the slope we need to use the slope formula which is

Slope = \frac{y_{2}-y_{1} }{x_{2}- x_{1} }

Now we just plug in the values of the starting point and final destination in order to find the slope of the line.

Slope = \frac{(-10) - (0)}{(-2)-(0)}

Slope = \frac{-10}{-2}

Slope =5

Finally we can see that the slope of the line is 5

I hope this answered your question. If you have any more questions feel free to ask away at Brainly.

6 0
3 years ago
What is the distance between 4.4 and -2.2 on a number line?
SSSSS [86.1K]

Answer:

2.2

Step-by-step explanation:

4.4 + -2.2 = 2.2

....................................................................

4 0
3 years ago
The equation of function h is h... PLEASE HELP MATH
Flura [38]

Answer:

Part A: the value of h(4) - m(16) is -4

Part B: The y-intercepts are 4 units apart

Part C: m(x) can not exceed h(x) for any value of x

Step-by-step explanation:

Let us use the table to find the function m(x)

There is a constant difference between each two consecutive values of x and also in y, then the table represents a linear function

The form of the linear function is m(x) = a x + b, where

  • a is the slope of the function
  • b is the y-intercept

The slope = Δm(x)/Δx

∵ At x = 8, m(x) = 2

∵ At x = 10, m(x) = 3

∴ The slope = \frac{3-2}{10-8}=\frac{1}{2}

∴ a = \frac{1}{2}

- Substitute it in the form of the function

∴ m(x) = \frac{1}{2} x + b

- To find b substitute x and m(x) in the function by (8 , 2)

∵ 2 = \frac{1}{2} (8) + b

∴ 2 = 4 + b

- Subtract 4 from both sides

∴ -2 = b

∴ m(x) = \frac{1}{2} x - 2

Now let us answer the questions

Part A:

∵ h(x) = \frac{1}{2} (x - 2)²

∴ h(4) = \frac{1}{2} (4 - 2)²

∴ h(4) = \frac{1}{2} (2)²

∴ h(4) =  \frac{1}{2}(4)

∴ h(4) = 2

∵ m(x) = \frac{1}{2} x - 2

∴ m(16) =  \frac{1}{2} (16) - 2

∴ m(16) = 8 - 2

∴ m(16) = 6

- Find now h(4) - m(16)

∵ h(4) - m(16) = 2 - 6

∴ h(4) - m(16) = -4

Part B:

The y-intercept is the value of h(x) at x = 0

∵ h(x) = \frac{1}{2} (x - 2)²

∵ x = 0

∴ h(0) = \frac{1}{2} (0 - 2)²

∴ h(0) =  \frac{1}{2} (-2)² =  

∴ h(0) = 2

∴ The y-intercept of h(x) is 2

∵ m(x) = \frac{1}{2} x - 2

∵ x = 0

∴ m(0) = \frac{1}{2} (0) - 2 = 0 - 2

∴ m(0) = -2

∴ The y-intercept of m(x) is -2

- Find the distance between y = 2 and y = -2

∴ The difference between the y-intercepts of the graphs = 2 - (-2)

∴ The difference between the y-intercepts of the graphs = 4

∴ The y-intercepts are 4 units apart

Part C:

The minimum/maximum point of a quadratic function f(x) = a(x - h) + k is point (h , k)

Compare this form with the form of h(x)

∵ h = 2 and k = 0

∴ The minimum point of the graph of h(x) is (2 , 0)

∵ k is the minimum value of f(x)

∴ 0 is the minimum value of h(x)

∴ The domain of h(x) is all real numbers

∴ The range of h(x) is h(x) ≥ 2

∵ m(8) = 2

∵ m(14) = 5

∵ h(8) = \frac{1}{2} (8 - 2)² = 18

∵ h(14) = \frac{1}{2} (14 - 2)² = 72

∴ h(x) is always > m(x)

∴ m(x) can not exceed h(x) for any value of x

<em>Look to the attached graph for more understand</em>

The blue graph represents h(x)

The green graph represents m(x)

The blue graph is above the green graph for all values of x, then there is no value of x make m(x) exceeds h(x)

7 0
3 years ago
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