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Inessa05 [86]
2 years ago
5

When graphing the inequality y ≤ 2x − 4, the boundary line needs to be graphed first. Which graph correctly shows the boundary l

ine? A.) Picture 1 B.) Picture 2 C.) Picture 3 D.) Picture 4

Mathematics
1 answer:
Aleksandr [31]2 years ago
4 0

The answer is B.) 2nd. Picture

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The following two sets of parametric functions both represent the same ellipse. Explain the difference between the graphs.
statuscvo [17]
The answer
ellipse main equatin is as follow:

X²/ a²   +  Y²/ b²  =1, where a≠0 and b≠0

for the first equation: <span>x = 3 cos t and y = 8 sin t
</span>we can write <span>x² = 3² cos² t and y² = 8² sin² t
and then  </span>x² /3²= cos² t and y²/8² =  sin² t
therefore,  x² /3²+ y²/8²  =  cos² t + sin² t = 1
equivalent to x² /3²+ y²/8²  = 1

for the second equation, <span>x = 3 cos 4t and y = 8 sin 4t we found
</span>x² /3²+ y²/8²  = cos² 4t + sin² 4t=1

7 0
2 years ago
Read 2 more answers
destiny sells pencil cases for $5 each and mechanical pencils for $2 each at the school supply store. she sells p pencil cases a
Andrew [12]

Answer:

Step-by-step explanation:

5p + 2(p + 4) .......because pencil cases (p) sell for 5 bucks a piece....and mechanical pencils (p + 4), sell for 2 bucks a piece. She is basically selling 4 more mechanical pencils then she is pencil cases.

8 0
2 years ago
Which of the following is NOT a property of the​ chi-square distribution?
LenKa [72]

Answer:

A) The mean of the​ chi-square distribution is 0

A) is not a property of chi square distribution.

Step-by-step explanation:

We have to find the properties of a chi square test.

A) False

The mean of a chi square distribution is equal to the degree of freedom.

B) True

The​ chi-square distribution is non symmetric.

C) True

The chi square value can be zero and positive.

It can never be negative because it is based on a sum of squared differences .

D) True

The​ chi-square distribution is different for each number of degrees of​ freedom.

When we are working with a single population variance, the degree of freedom is n - 1.

5 0
2 years ago
Given that a rectangle with length $3x$ inches and width $x + 5$ inches has the property that its area and perimeter have equal
scoray [572]

Answer:

First, we need to know how to calculate the area and the permiter of a rectangle.

To calculate the area, we multiply base by height and to calculate the perimeter, we sum all sides.

Knowing this, we can say that the area is 3x * (x+5) and the perimiter is 3x + 3x + x + 5 + x + 5, as we know both are the same, we write it as an equation:

3x * (x+5) = 3x + 3x + x + 5 + x + 5

Now we solve the equation:

3x^2 +15x = 6x + 2x + 10

3x^2+15x =8x + 10

3x^2+15x-8x-10=0

3x^2+7x-10=0\\\\x_1=\frac{-10}{3}\\x_2 = 1

As the negative result doesn't have sense, we only pick the second one: 1.

If x = 1, then area would be 3*6 = 18 square inches and perimeter 3+3+6+6 = 18 inches

7 0
2 years ago
Read 2 more answers
The Benton Youth Soccer Team has 20 players on the team, including reserves. Of these, three are goalies. Today, the team is hav
inna [77]

Answer:

57

Step-by-step explanation:

Subtract one player from the total number, because one has to block.

19

Multiply this by the number of goalies there are.

19*3=57

There will be 57 kicks.

3 0
1 year ago
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