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kondor19780726 [428]
3 years ago
14

How does the graph of g(x)=⌈x⌉+0.5 differ from the graph of f(x)=⌈x⌉?

Mathematics
1 answer:
Travka [436]3 years ago
4 0
<span>In general, a positive constant moves a function upwards and a negative value moves it downwards. Thus, g(x)=⌈x⌉+0.5 is 0.5 units above f(x)=⌈x⌉, as shown in attached picture.

To shift a function left, you add units to the independent variable.To shift it right, you subtract a constant from "x".
Example:
h(x)=⌈x+1⌉ is 1 unit left to f(x).</span>

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What are the solutions of the system? {y=-6x-6 y=x^2-5x-6 A (-1,0)and(-6,0) B (-1,0)and(0,-6) C (0,-1)and(-6,0) D(0,-1)and(0,-6)
Novosadov [1.4K]
The answer to the question is b

5 0
3 years ago
Find the length of diagonal XU in the hexagon below. Round your solution to 2 decimal points
SpyIntel [72]

Answer:

The length of diagonal XU is 6.40 units

Step-by-step explanation:

* Lets explain how to find the distance between two points

- The rule of the distance between two points (x_{1},y_{1})

 and (x_{2},y_{2}) is:

 d=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}

* Lets solve the problem

-From the attached figure:

- The coordinates of the vertex X are (2 , 2)

- The coordinates of the vertex U are (-2 , 7)

∴ The point (x_{1},y_{1}) = (2 , 2)

∴ The point (x_{2},y_{2}) = (-2 , 7)

∴ x_{1}=2,x_{2}=-2

∴  y_{1}=2,y_{2}=7

∵ d=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}

∴ d=\sqrt{(-2-2)^{2}+(7-2)^{2}}=\sqrt{(-4)^{2}+(5)^{2}}=\sqrt{16+25}=\sqrt{41}

∵ \sqrt{41}=6.403124

∴ d = 6.40

* The length of diagonal XU is 6.40 units

6 0
3 years ago
A pile of sand has a weight of 90kg.
ankoles [38]

Answer:

9Kg, 18Kg and 63 Kg

Step-by-step explanation:

Sum the parts of the ratio, 1 + 2 + 7 = 10 parts

Divide the weight of sand by 10 to find the value of one part of the ratio

90 Kg ÷ 10 = 9 Kg ← value of 1 part of the ratio, thus

2 parts = 2 × 9 Kg = 18 Kg

7 parts = 7 × 9 Kg = 63 Kg

Thus the weights of each bag are 9 Kg, 18 Kg and 63 Kg

3 0
3 years ago
In a class of 80 students ,53 study art ,60 study biology ,36 study art and biology ,34 study art and chemistry ,6 study biology
d1i1m1o1n [39]

Answer:

The missing part is the intersection of all 3, label it x

Now look at the intersection of A and C, it must be 34.

But you already have x accounted for in the intersection of all 3.

So label the part in A and C, but not B as 34-x

36 study A and B, so the part of A and B, but not C is

36-x

Given that 53 study Art, in the A only part we can put

53-(36-x) - (34-x) -x = x - 17

6 study B only, put that in.

So the missing part of B is 60 - 6 - (36-x) - x

= 18

18 study B , but not C, so they could be in A

label the part of A and B, but not C as 18

BUT, we already know that A and B, not C, is 36-x

So 36-x = 18

X=18

I think we are done

Finish circle A, with A only as x-17 or

4 0
4 years ago
Sam can wash 2 1/7 loads of laundry in 3/5 of an hour. How many loads of
34kurt

Sam can wash 3\frac{4}{7}   or  \frac{25}{7}    loads of laundry per hour.

3 0
3 years ago
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