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r-ruslan [8.4K]
2 years ago
15

Find the domain of y= 2/3 square root of x+5-4

Mathematics
1 answer:
3241004551 [841]2 years ago
4 0
Set the radicand in
√
x
−
5
x
-
5
greater than or equal to
0
0
to find where the expression is defined.
x
−
5
≥
0
x
-
5
≥
0
Add
5
5
to both sides of the inequality.
x
≥
5
x
≥
5
The domain is all values of
x
x
that make the expression defined.
Interval Notation:
[
5
,
∞
)
[
5
,
∞
)
Set-Builder Notation:
{
x
|
x
≥
5
}
{
x
|
x
≥
5
}
The range of an even indexed radical starts at its starting point
(
5
,
0
)
(
5
,
0
)
and extends to infinity.
Interval Notation:
[
0
,
∞
)
[
0
,
∞
)
Set-Builder Notation:
{
y
|
y
≥
0
}
{
y
|
y
≥
0
}
Determine the domain and range.
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A plan ran for 100 performances. The theater was full for 85% of the performances. For how many performances was the theatre NOT
Contact [7]
Simple do 100 - 85 and get 15 so 15%
5 0
2 years ago
Read 2 more answers
For each expression, select all equivalent expressions from the list.
ratelena [41]

\qquad\qquad\huge\underline{{\sf Answer}}

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#1. PROBLEM

\qquad \tt \dashrightarrow \:11x - 4x + 10x

\qquad \tt \dashrightarrow \:21x - 4x

\qquad \tt \dashrightarrow \:17x

#2. PROBLEM

\qquad \tt \dashrightarrow \:2(1 + 8y)

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8 0
2 years ago
Hi! What is y = x^2 -4x +5 vertex form? Please explain how you got this answer. Thanks! :)
Anarel [89]

{x}^{2}  - 4x + 5 = 0 \\  {x}^{2}  - 4x =  - 5 \\   \\  { (\frac{b}{2} )}^{2}  = ( \frac{ - 4}{2} ) = ( { - 2})^{2}  = 4 \\  {x}^{2}  - 4x + 4 =  - 5 + 4 \\  {(x - 2)}^{2}  =  - 1 \\  {(x - 2)}^{2}  + 1
The last line is in vertex form, and can see the vertex is located at (2,1).
8 0
3 years ago
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What's the slope-intercept form that passes through the points (0, -1) and (1, 5)?
Rzqust [24]

Answer:

<h2>         y = 6x - 1</h2>

Step-by-step explanation:

\bold{slope\, (m)=\dfrac{change\ in\ Y}{change\ in\ X}=\dfrac{y_2-y_1}{x_2-x_1}}

(0, -1)    ⇒     x₁ = 0,  y₁ = -1

(1, 5)     ⇒     x₂ = 1,  y₂ = 5

So the slope:

                     \bold{m=\dfrac{5+1}{1-0}=\dfrac{6}{1}=6}

The slope-intercept form of the equation of line is y = mx + b, where m is the slope and b is the y-intercept of the line.

(0, -1)    ⇒     x₀ = 0,  y₀ = -1      ⇒   b = -1

Therefore:

                 y = 6x - 1          ←  the slope-intercept form of the equation

5 0
3 years ago
--8W + 5 = -43<br> what’s this?
nataly862011 [7]

Answer:

it is the equation which you have to solve.

3 0
3 years ago
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