Answer:
sorry sir I don't know the answer. It was also came in my exam I leave it
Considering the area of the right triangle, it is found that Salome used a scale factor of 1/2 to go from triangle R to triangle T.
<h3>What is the area of a right triangle?</h3>
The area of a right triangle is given by half the multiplication of the lengths of it's sides.
In this figure, we have that the sides have lengths of 4 and 5 units, hence the area is given by:
A = 0.5 x 4 x 5 = 10 square units.
The area is one fourth of the area of triangle R. Since we are dealing with an area, that works in squared units, the scale factor is given by:
S = sqrt(1/4) = 1/2.
Hence Salome used a scale factor of 1/2 to go from triangle R to triangle T.
More can be learned about the area of a right triangle at brainly.com/question/28230160
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The function (fg)(x) is a composite function
The value of the function (fg)(x) is 2x^3 + 7x^2 - 19x - 20
<h3>How to determine the function (fg)(x)?</h3>
The functions are given as:
f(x) = 2x^2 - 3x - 4 and g(x) = x + 5.
To calculate (fg)(x), we make use of
(fg)(x) = f(x) * g(x)
So, we have:
(fg)(x) = (2x^2 - 3x - 4) * (x + 5)
Expand
(fg)(x) = 2x^3 - 3x^2 - 4x + 10x^2 - 15x - 20
Collect like terms
(fg)(x) = 2x^3 - 3x^2 + 10x^2 - 4x - 15x - 20
Evaluate
(fg)(x) = 2x^3 + 7x^2 - 19x - 20
Hence, the function (fg)(x) is 2x^3 + 7x^2 - 19x - 20
Read more about composite function at:
brainly.com/question/10687170
Answer:
The constant of proportionality is 1.89
Step-by-step explanation:
2 pounds = $3.78
1 pound = $3.78/2 = $1.89
Cost y is directly proportional to the pound of potato
y = 1.89x
The constant of proportionality is the cost of 1 pound of potato, and it is 1.89
