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boyakko [2]
3 years ago
15

Write the linear inequality shown in the graph. The gray area represents the shaded region.

Mathematics
2 answers:
mina [271]3 years ago
6 0

Answer:

y

Step-by-step explanation:

we know that

The solution of the inequality is the shaded area below the dashed line

The slope of the line is positive

The y-intercept of the line is the point (0,-3)

The equation of the line is y=4x-3

therefore

The equation of the inequality is

y ------> remember that the solution is below the dashed line

user100 [1]3 years ago
5 0
As before, find the equation of the dashed line.  I see that the slope, m, is 8/2, or 4.  Since the gray (shaded) area is above this dashed line the proper answer choice is <span>y > 4x – 3,  </span>
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Consider the scatter plot.
julia-pushkina [17]

Answer:

A

Step-by-step explanation:

An outlier is a data point that seems like it shouldn't belong; it could be extremely small or extremely big or simply not even a part of the correlation.

Looking at the scatter plot, it's quite clear that there is one point far from the others. This will be the outlier.

Observe its coordinates; they are about (8.8, 5.2).

So, the answer is A.

Hope this helps!

5 0
3 years ago
Read 2 more answers
Using Euler's relation, derive the following relationships:a. Cosθ=½(e^jθ+e^−jθ)b. Sinθ=½(e^jθ−e(^−jθ)
Montano1993 [528]

Answer:

a. cosθ = ¹/₂[e^jθ + e^(-jθ)] b. sinθ = ¹/₂[e^jθ - e^(-jθ)]

Step-by-step explanation:

a.We know that

e^jθ = cosθ + jsinθ and

e^(-jθ) = cosθ - jsinθ

Adding both equations, we have

e^jθ = cosθ + jsinθ

+

e^(-jθ) = cosθ - jsinθ

e^jθ + e^(-jθ) = cosθ + cosθ + jsinθ - jsinθ

Simplifying, we have

e^jθ + e^(-jθ) = 2cosθ

dividing through by 2 we have

cosθ = ¹/₂[e^jθ + e^(-jθ)]

b. We know that

e^jθ = cosθ + jsinθ and

e^(-jθ) = cosθ - jsinθ

Subtracting both equations, we have

e^jθ = cosθ + jsinθ

-

e^(-jθ) = cosθ - jsinθ

e^jθ + e^(-jθ) = cosθ - cosθ + jsinθ - (-jsinθ)

Simplifying, we have

e^jθ - e^(-jθ) = 2jsinθ

dividing through by 2 we have

sinθ = ¹/₂[e^jθ - e^(-jθ)]

4 0
3 years ago
the 43rd term of an arithmetic sequence is -671 and the 52nd term is -806. find the first term and the common difference.
Bond [772]

Answer:

First term = -41.

Common difference = -15.

Step-by-step explanation:

nth term: an = a1 + (n - 1)d  where a = first term and d = the common difference.

-671 = a1 + (43 - 1)d

-806 = a1 +(52 - 1)d

-671  = a1 + 42d

-806 = a1 + 51d

Subtracting ( to eliminate a1):

-671 - (-806) = 42d - 51d

-9d =  135

d = -15

Substitute for d in the first equation:

-671 = a1 + 42*-15

-671 = a1 - 630

a1 = -671 + 630 = -41.

3 0
2 years ago
An NBA corner 3-pointer is 264 inches away from the hoop. One day, you measure it to be 270.6 inches. What is the measurement er
vesna_86 [32]
Plz give me more to explain
5 0
3 years ago
J= -8c^2 - 4cd - d^2 k= -3c^2 +7cd - 3d^2 j+k =
irina [24]
J=-8c²-4cd-d²
k=-3c²+7cd-3d²
j+k=
-8c²-4cd-d²-3c²+7cd-3d²
-11c²-4d²+3cd
6 0
3 years ago
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