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Sedbober [7]
3 years ago
11

3x + 2y = 2

Mathematics
1 answer:
iragen [17]3 years ago
6 0
A) (-2,4) hope this helps 
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Find the inverse of the function x2 + y2 = 4 and the domain of the inverse for 0 ≤ x ≤ 2.
alexandr402 [8]
To get the inverse "relation" of an expression, we first off, do a quick switcharoo of the variables, and then solve for "y", so let's proceed,

\bf x^2+y^2=4\qquad inverse\implies \boxed{y}^2+\boxed{x}^2=4
\\\\\\
y^2=4-x^2\implies y=\pm\sqrt{4-x^2}

and yes, the domain for the range 0 ⩽ x <span>⩽ 2, let's get instead the "range" of the original function,

</span>\bf x^2+y^2=4\implies 0^2+y^2=4\implies y=\pm\sqrt{4}\implies \boxed{y=\pm 2}&#10;\\\\\\&#10;x^2+y^2=4\implies 2^2+y^2=4\implies 4+y^2=4\implies \boxed{y=0}\\\\&#10;-------------------------------\\\\&#10;\stackrel{\textit{range of original}}{-2\le y \le 2}~~=~~\stackrel{\textit{domain of its inverse}}{-2\le x \le 2}<span>
</span>
8 0
3 years ago
Identify the parent function that can be used to graph the function (x) = - 3x + 2
Sever21 [200]

Answer:

c

Step-by-step explanation:

the function (x) = -3x+2  can be obtained by :

* stretching the function (x)=x in the y-axis by 3 units gives 3x

* then reflecting about x-axis  gives -3x

* finally shifting it up by 2 units gives -3x+2

so the parent function is f(x) = x

8 0
3 years ago
Martas school has 325 desks for 13 classrooms . If the desks are shared evenly how many desks will each classroom have
Shtirlitz [24]

Answer:

25

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Translate into a equation. one subtracted from two times a number is -45.​
sleet_krkn [62]

Answer:

2x - 1 = -45.

Step-by-step explanation:

2x - 1 = -45 is the required equation.

x is the number.

3 0
3 years ago
6. For what value of p, the binary number 110P/2 represents 25?​
lions [1.4K]

Step-by-step explanation:

25 as binary number is

11001

1×2⁴ + 1×2³ + 0×2² + 0×2¹ + 1×2⁰ = 16 + 8 + 1 = 25

25×2 = 50 = 11001 × 2 = 110010

multiplying a binary number by 2 is the save effect as multiplying a normal decimal number by 10 : all digits move one position to the left, and a 0 is put into the empty right position.

and so, we see

110P = 110010

P = 010

FYI : you normally don't mix binary and decimal numbers. if one of the numbers is binary, then all the others have to be binary too.

so, the problem should have looked like

110P/10 = 11001

110P = 11001×10 = 110010

P = 010

3 0
1 year ago
Read 2 more answers
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