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Lelechka [254]
3 years ago
13

Betty and Andrea have been solving systems of equations with one polynomial function of degree two and one linear function. Bett

y says there must always be two solutions, and Andrea says there will no solution. Using complete sentences, explain how Betty can be correct, how Andrea can be correct, and how they both can be wrong.
Mathematics
2 answers:
olganol [36]3 years ago
4 0
A system of equations with one polynomial function of degree two and one linear function will have two solutions when the line intersects the parabola at two points.

A system of equations with one polynomial function of degree two and one linear function will have no solution when the line does not intersects the parabola.

A system of equations with one polynomial function of degree two and one linear function will have one solution when the line intersects the parabola at one point.

shtirl [24]3 years ago
4 0
This system of equations will have two solutions when there are two points that the line intersects with. It will have no solution when the line does not intersect the parabola. It will have only one solution when the line only intersects at one point. Hope this answers the question.
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7 0
3 years ago
A boat leaves the harbor entrance and travels 28 miles in the direction N 43° E. The captain then turns the boat 90° and travels
Serga [27]

Answer:

Step-by-step explanation:

A boat leaves the harbor entrance and travels 28 miles in the direction N 43° E.

Displacement in vector form

= 28 cos43 i + 28sin43j

= 20.47 i + 19.1 j

The captain then turns the boat 90° and travels another 15 miles in the direction S 47° E

Displacement

= 15 cos47 i - 15 sin47 j

= 10.22 i - 10.97 j

Total displacement

= 20.47 i + 19.1 j + 10.22 i - 10.97 j

= 30.69 i - 8.13 j

Magnitude of displacement

= 31.75 miles

Angle with east direction

TanФ = - 8.13 / 30.69

Ф = 15 degree  south of east.

3 0
3 years ago
What are the coordinates of the point?
kenny6666 [7]
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7 0
3 years ago
1. 16 is what percent of 40?
jonny [76]

Answer:

40%

Step-by-step explanation:

sloution is 16/40 only this we can get answer

4 0
4 years ago
Nate naught shares of a stock at $36.85. The value of the shares increased by $2 more than 40% when Nate sold them. At what pric
kobusy [5.1K]

Answer:

$ 51.59

Step-by-step explanation:

Nate has shares worth $ 36.85.

He says that the value of these shares increased by $ 2 plus 40% of their original value, therefore the final value would be as follows:

$ 2 + $ 36.85 * 0.40 = $ 2 + $ 14.74 = $ 16.74, was the increase.

The sale value was of this increase plus the original value, therefore:

$ 36.85 + $ 14.74 = $ 51.59

Nate sold the shares at a value of $ 51.59.

6 0
3 years ago
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