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Alenkasestr [34]
3 years ago
8

What is the domain of this function?

Mathematics
1 answer:
sdas [7]3 years ago
4 0

\text{We know}\ \sqrt{a}\ \text{is exist for}\ a\geq0.\\\\\text{Therefore the domain of}\ f(x)=3\sqrt{x-2}\ \text{is:}\\\\x-2\geq0\qquad\text{add 2 to both sides}\\\\\boxed{x\geq2\to x\in[2,\ \infty)}

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What are the coordinates of the vertices of the triangle under the translation (x, y) --> (x + 3, y + 2)?
Afina-wow [57]
<span>The coordinates of the vertices of the triangle :
</span>(-1,1), (-4,1). <span>(-4, 4)

</span>the translation (x, y) --> (x + 3, y + 2), the new coordinates of the vertices of the triangle will be:<span>
(2, 3), </span>(-1, 3), <span>(-1, 6)  

Answer:
</span><span>D. (2, 3), (-1, 3), (-1, 6)</span>
7 0
2 years ago
Read 2 more answers
Eric plays basketball and volleyball for a total of 95 minutes every day. He plays basketball for 25 minutes longer than he play
ioda

Answer:

Part A:

x+y= 95

x = y+25

Part B : 35 minutes

Part C : No

Step-by-step explanation:

  • Part A :

Eric plays basketball and volleyball for a total of 95 minutes every day

x+y= 95

Where:

x =the number of minutes Eric plays basketball

y= the number of minutes he plays volleyball  

He plays basketball for 25 minutes longer than he plays volleyball.

x = y+25

System:

x+y= 95

x = y+25

  • Part B:

Replacing x=y+25 on the first equation:

(y+25) + y =95

Solving for Y

y+25+y =95

25+2y=95

2y=95-25

2y=70

y = 70/2

y = 35 minutes

Part C : No

if x = 35

x+y= 95

35+y =95

y= 95-35

y = 60 minutes

Replacing y=60 on the other equation:

x = y+25

35 = 60+25

35 ≠85

5 0
3 years ago
Identify the properties of the given quadratic.
Komok [63]

Answer:

see explanation

Step-by-step explanation:

A quadratic function in standard form is

y = ax² + bx + c (a ≠ 0 )

Given

y = - 3x² + 6x + 17 ← compare coefficients with standard form, then

a = - 3, b = 6, c = 17

Given the quadratic in standard form the the equation of the axis of symmetry is

x = - \frac{b}{2a} = - \frac{6}{-6} = 1

Equation of axis of symmetry is x = 1

4 0
3 years ago
How would you correctly write the equation 4(10+5)=6(12-2) using the distributive property?
slamgirl [31]

the correct answer is 45=70

3 0
3 years ago
What is the solution for I
xeze [42]

Answer:

no solution

Step-by-step explanation:

5 0
3 years ago
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