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vladimir1956 [14]
3 years ago
10

Graph the function y=|x+2|-3

Mathematics
2 answers:
inna [77]3 years ago
5 0
This graph the answer to your problem.

sdas [7]3 years ago
4 0

Answer:

The graph has been attached.

Step-by-step explanation:

We have to graph the function y=|x+2|-3

The parent function is y = |x|.

It is a v-shaped curve, with vertex at (0,0) as shown in the figure with dotted curve.

We use rule of transformation of graph:

  • When we add a constant 'a' in x then graph shifts 'a' units left
  • When we subtract a constant 'a' in function then graph shifts a units down

Now, we translate this graph 3 units down and 2 units left. Thus, the equation of the parent function becomes y=|x+2|-3. The curve is v-shaped and the vertex is at (-2,-3).

Now, we can easily graph the function y=|x+2|-3

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If (-3) exponent -5 = 1/x, what is the value of x? <br> -243<br> - 1/243<br> 1/243<br> 243
trapecia [35]

Answer:

\boxed {-243}\\

Step-by-step explanation:

\begin{array}{rclr}(-3)^{-5} & = & \dfrac{1}{x}& &\\(-3)^{5} & = & x &\text{Inverted each side of the equation}\\x & = & \boxed {\textbf{{-243}}}\\\end{array}

6 0
3 years ago
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irina1246 [14]
A(n,s)=(ns^2)/(4tan(180/n)), n=number of sides, s=side length

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3 years ago
Let y in the form of a + ib, where a and b are real numbers, be the cubic roots of a complex number z 20, where z =2 4+i3. Find
GalinKa [24]

The possible values of a + b are 0.89, 3.01 and -3.9

<h3>How to determine the value of a + b?</h3>

The given parameters are:

y = a + ib

z = 24 + i3

Where:

y = ∛z

Take the cube of both sides

y³ = z

Substitute the values for y and z

(a + ib)³ = 24 + i3

Expand

a³ + 3a²(ib) + 3a(ib)² + (ib)³ = 24 + i3

Further, expand

a³ + i3a²b + i²3ab² + i³b³ = 24 + i3

In complex numbers;

i² = -1 and i³= -i

So, we have:

a³ + i3a²b + (-1)3ab² -ib³ = 24 + i3

Further expand

a³ + i3a²b - 3ab² - ib³ = 24 + i3

By comparing both sides of the equation, we have:

a³ - 3ab² = 24

i3a²b - ib³ = i3

Divide through by i

3a²b - b³ = 3

So, we have:

a³ - 3ab² = 24

3a²b - b³ = 3

Using a graphing tool, we have:

(a,b) = (-1.55, 2.44), (2.89,0.12) and (-1.34,-2.56)

Add these values

a + b = 0.89, 3.01 and -3.9

Hence, the possible values of a + b are 0.89, 3.01 and -3.9

Read more about complex numbers at:

brainly.com/question/10662770

#SPJ1

6 0
2 years ago
Help me please. It means a lot
kakasveta [241]

Answer: Jonny makes $15 per hour working at Target. He gets a bonus at the end of the month for $85. This month, he made a total of $685. Write an equation to show how many hours he worked

Step-by-step explanation:

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3 years ago
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I need help please and thanks
lakkis [162]

Answer:

the answer is associative

Step-by-step explanation:

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