The interpretation of the point of intersection of the curves is (c) they give a solution to the equation 5x - x^2 = 3x - 0.5x^2
<h3>How to interpret the points of intersection?</h3>
The graph of the two functions alongside their equations are the given parameters of this question
The functions are given as:
f(x) = 5x - x^2
g(x) = 3x - 0.5x^2
When the graphs of two curves or lines intersect on a coordinate plane, it means that the point of intersection represents where the graphs have equal value
In this case, it represents
f(x) = g(x)
Substitute the known values in the above equation
5x - x^2 = 3x - 0.5x^2
So, the interpretation of the point of intersection of the curves is (c) they give a solution to the equation 5x - x^2 = 3x - 0.5x^2
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It would matter if 4 is on the bottom then the sides are 5 and if 5 is on the bottom then the sides are 4. Look at the pic if you don't understand
The length and width of a new rectangle playing field are 214 yards and 52 yards respectively.
<h3>What is the area of the rectangle?</h3>
It is defined as the area occupied by the rectangle in two-dimensional planner geometry.
The area of a rectangle can be calculated using the following formula:
Rectangle area = length x width
We have:
The length of a new rectangle playing field is 6 yards longer than quadruple the width.
Let's suppose the length is l and width is w of a rectangle:
From the problem:
l = 6 + 4w
Perimeter P = 2(l + w)
532 = 2(l + w)
Plug l = 6+4w in the above equation:
532 = 2(6 + 4w + w)
266 = 6 + 5w
260 = 5w
w = 52 yards
l = 6 +4(52) = 214 yards
Thus, the length and width of a new rectangle playing field are 214 yards and 52 yards respectively.
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Answer:This is a tricky question that Reina and Sam are multiplying (84)5 (73)9 and their work are (84)5 (73)9 = 84 + 573 + 9 = 89712 Reina's (84)5 (73)9 = 84-573-9 = 820727 Sam's Actually they are doing or multiplying using exponents. Reina's work (8*)s(7³)º=8*+5+ 73+9= 8° 712 This is incorrect because she added exponents instead of multiplying exponents Sams work (8*)5 (7³)º=84x5 73x9= 820 727 This is correct because Sam multiplied exponents correctly Exponents are multiplied not added.
