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navik [9.2K]
3 years ago
14

The piecewise function h(x) is shown on the graph.

Mathematics
1 answer:
larisa [96]3 years ago
3 0

Answer:

b

Step-by-step explanation:

-1

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If 1, x, 5 and 15 are in proportion, then the value of x is<br>a. 5<br>b. 4<br>c. 3​
Katen [24]

Answer:

3

Step-by-step explanation:

Here, 1:x =5:15

Solving which the value of x is 3.

6 0
3 years ago
Are fractions reversible? why or why not
olga2289 [7]

Answer:

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3 0
3 years ago
Read 2 more answers
10 1/16ft + 8 3/8ft +1/2 ft
Whitepunk [10]

Answer:

18 15/16 ft

Step-by-step explanation:

what is the request here ?

to do the additions and bring all to one summary result of ft ?

I base my answer on this assumption.

10 1/16 = 161/16

8 3/8 = 67/8

1/2 = 1/2

note let's bring everything to 16th, so that we can actually add them.

161/16

67/8 = 134/16

1/2 = 8/16

161/16 + 134/16 + 8/16 = 303/16 = 18 15/16

cross check :

add all whole numbers first, and then add the remaining fractions too (need to bring them to 16th too).

10 + 8 = 18

1/16 + 3/8 + 1/2 = 1/16 + 6/16 + 8/16 = 15/16

together, 18 15/16

yeah, it is the same.

6 0
3 years ago
The vertices of ΔABC are A(−3,4)​, B(−2,4)​, and C(−5,2). If ΔABC is reflected across the line y=−2 to produce the image Δ​A'B'C
Mumz [18]

The coordinates of vertex B' is P'(x,y) = (-2, -8).

<h3>How to calculate the coordinate of point by reflection</h3>

A point if reflected across the line y = -2 by means of the following formula:

P'(x,y) = P(x,y)+2\cdot [(x_{P}, -2)-P(x,y)] (1)

Where:

  • P(x,y) - Original point
  • x_{P} - x-Coordinate of point P
  • P'(x,y) - Resulting point

If we know that P(x,y) = (-2,4) and x_{P} = -2, then the coordinates of the vertex is:

P'(x,y) = (-2, 4) + 2\cdot [(-2,-2)-(-2,4)]

P'(x,y) = (-2, 4) +2\cdot (0, -6)

P'(x,y) = (-2, 4) + (0,-12)

P'(x,y) = (-2, -8)

The coordinates of vertex B' is P'(x,y) = (-2, -8). \blacksquare

To learn more on reflections, we kindly invite to check this verified question: brainly.com/question/1878272

3 0
3 years ago
Factor the polynomial completely
aliina [53]

We have 2x^2-8.




First let us factor the 2 to obtain,


2(x^2-4)


We can now see clearly that the expression inside the parentheses is a difference of two squares.



We now write the 4 as 2². So that we obtain the expression,



2(x^2-2^2)


Recall that


a^2-b^2=(a+b)(a-b)



Hence our expression becomes,




2(x+2)(x-2)



Therefore, when factored completely,




2x^2-8=2(x+2)(x-2)






5 0
3 years ago
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