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Eva8 [605]
3 years ago
6

Suppose that the function g is defined, for all real numbers, as follows.

Mathematics
1 answer:
lara [203]3 years ago
4 0

Answer:

5/2

Step-by-step explanation:

g(-3) falls under x<=-1 so substitute -3 on x

-1/2(-3)+1

3/2+1

5/2

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Which represents the solution(s) of the system of equations, y + 4 = x2 and y-x=2? Determine the solution set by
Sergeu [11.5K]

Answer:

The points (-2, 0) and (3,5) are the ONLY solutions of the given sets of equations.

Step-by-step explanation:

Here, the given equations are: y + 4 = x^{2}  , y -x = 2

Now checking for the given points:

(a) (-2, 0)

Here, y + 4 = 0 + 4 = 4 =   (-2)^{2}  =  x^{2} \\y- x = 0 -(-2) = 2  = RHS

Hence,  (-2, 0) is the solution of the given equations.

b) Checking for (2,0), as (-2, 0) is a solution as shown above

Here, y + 4 = 0 + 4 = 4 =   (2)^{2}  =  x^{2} \\y- x = 0 +  (-2) = -2  \neq 2(RHS)

Hence,  (2, 0) is NOT the solution of the given equations.

c) Checking for (3,5), as (-2, 0) is a solution as shown above

Here, y + 4 = 5 + 4 = 9 =   (3)^{2}  =  x^{2} \\y- x = 5 -3 = 2 -  (RHS)

Hence,   (3,5), is the solution of the given equations.

Hence, the points (-2, 0) and (3,5) are the ONLY solutions of the given sets of equations.

5 0
3 years ago
Geometric figures that are<br> __________ are exactly the same shape and size.
loris [4]

Answer:

Step-by-step explanation:

A geometric figure is intuitively defined as a set of points and lines in space. In the words of Euclid: A figure is that which is contained by any boundary or boundaries

7 0
2 years ago
Read 2 more answers
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Y_Kistochka [10]

Answer:

x=-12

Step-by-step explanation:

3x+5=2x-7

3x=2x-12

x=-12

3 0
3 years ago
(4,7), (x,19); slope = 3 the pair points lies on the same line with the given slope. Find x
Andrew [12]
So we are given two points, say P1(4,7), P2(x,19).

Slope is given by 
m=3=(y2-y1)/(x2-x1)=(19-7)/(x-4)
solve for x
3=(19-7)/(x-4)
cross multiply
3(x-4)=12
3x-12=12
3x=12+12=24
x=8

3 0
3 years ago
Solve -1.2x+2.5=0.8x+6.5<br>x=2<br>O<br>x=-4 0​
Bond [772]

Answer:

x = - 2

Step-by-step explanation:

Given

- 1.2x + 2.5 = 0.8x + 6.5 ( subtract 0.8x from both sides )

- 2x + 2.5 = 6.5 ( subtract 2.5 from both sides )

- 2x = 4 ( divide both sides by - 2 )

x = - 2

4 0
3 years ago
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