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I am Lyosha [343]
3 years ago
5

Solve and graph the inequality

Mathematics
2 answers:
Naily [24]3 years ago
8 0
To solve this compound inequality, solve 2 < 2n + 20.
You should get -9 < n   (n > -9)

Then solve the right side of the compound inequality 2n + 20 <= 4.
You should be n<= -8

When you graph this on the number line, you put an open dot on the -9 and a closed dot on the -8 and connect the two points with a line.  That mean n is greater than -9 and less than or equal to -8.


butalik [34]3 years ago
3 0
Simple....

you have: 2\ \textless \ 2n+20 \leq 4

--->>>What you want to do is move all the terms not containing n from the center section of the interval inequality-->>>

-9\ \textless \ n \leq  -8

On the graph it starts with the circle point filled in at -8(*****) and a circle unfilled at -9(°°°°°°).

Thus, your answer.
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Y = – 1.3(x + 3)2 – 9
Naddika [18.5K]

Given equation, y = – 1.3(x + 3)2 – 9 is in slope intercept form.

Step-by-step explanation:

Slope intercept form standard formula:

                          y = mx + c

where,

         y= y intercept

         x= x intercept

        m = slope

        c = constant

We are given:

                          y = - 1.3(x + 3)2 - 9

                          y = - 2.6x + 7.8 - 9

                          y = -2.6x -1.2

So,

                 Slope = m = -2.6

                  constant = 1.2

6 0
4 years ago
Show your work for how you would use the Distributive Property to solve for 3(2+3)
il63 [147K]

Answer:

15

Step-by-step explanation:

3(2+3)=

3(2) + 3(3)=

6 + 9=

6 + 9 = 15

7 0
3 years ago
Solve:<br><br> a – 17 = 15<br> A. a = 32<br> B. a = 31<br> C. a = 45<br> D. a = 26
Tasya [4]

Answer:

A.

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
What is the solution to the system of equations? Use the substitution method. {y=−2x+53x−4y=2 Enter your answer in the boxes.
Jet001 [13]
We have the following system:
 y = -2x + 5
 3x-4y = 2
 Substituting y in equation 2 we have:
 3x-4 (-2x + 5) = 2
 We clear x:
 3x + 8x - 20 = 2
 11x = 2 + 20
 x = 22/11
 x = 2
 Then, we substitute x = 2 in equation 1:
 y = -2 (2) +5
 y = -4 + 5
 y = 1
 Answer:
 
The solution to the system of equations is:
 
x = 2
 
y = 1
6 0
4 years ago
Consider an arbitrary ellipse x 2 a 2 + y 2 b 2 = 1. (Assume a, b &gt; 0.) (a) Find a parametrization of the ellipse using the d
uysha [10]

Answer:

α(t) = (-a*Sin(t), b*Cos (t))    where t ∈ [0, 2π]

Step-by-step explanation:

Given an arbitrary ellipse (x²/a²) + (y²/b²) = 1       (a, b > 0)

The parametrization can be as follows

x = -a*Sin(t)

y = b*Cos (t)

then

α(t) = (-a*Sin(t), b*Cos (t))    where t ∈ [0, 2π]

If  t = 0

α(0) = (-a*Sin(0), b*Cos (0)) = (0, b)

If  t = π/2

α(π/2) = (-a*Sin(π/2), b*Cos (π/2)) = (-a, 0)

If  t = π

α(π) = (-a*Sin(π), b*Cos (π)) = (0, -b)

If  t = 3π/2

α(3π/2) = (-a*Sin(3π/2), b*Cos (3π/2)) = (a, 0)

If  t = 2π

α(2π) = (-a*Sin(2π), b*Cos (2π)) = (0, b)

We can see the sketch in the pic.

7 0
3 years ago
Read 2 more answers
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