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Blababa [14]
4 years ago
11

A school's rectangular athletic field has a length of 125 yards and a width of 75 yards. The planning committee has decided to e

xpand both the length and the width of the field by a certain number of yards ... say x. Write a polynomial in standard form representing the area of the new field.
Mathematics
2 answers:
mafiozo [28]4 years ago
8 0

Answer:

x^2 + 200x + 9375 = y

Step-by-step explanation:

So, if the original area is 125*75, and you are changing this by adding x to both sides, we can create a new equation to model this change. the length changes to (125+x) and the width to (75+x). This gives us the expression (x+125)(x+75) = y, or x^2 + 200x + 9375 = y, where y is the total area of the field.

alisha [4.7K]4 years ago
5 0

Answer:

Step-by-step explanation:

A school's rectangular athletic field has a length of 125 yards and a width of 75 yards. The planning committee has decided to expand both the length and the width of the field by a certain number of yards ... say x. This means that the new length would be 125 + 2x and the new width would be 75 + 2x

Therefore, the new area would be

A(x) = (125 + 2x)(75 + 2x) = 9375 + 250x + 150x + 4x^2

A(x) = 4x^2 + 400x + 9375

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B. MRS + mST = MRT Q R. S​
babunello [35]

Answer:

MRS is the demand side of equation while MRT is for the supply side.

MRS defines how much a consumer is willing to give up of good X for 1 additional unit of good Y to stay on the same utility level. It is shown by indifference curve. MRS = Price of X/ Price of Y

Similarly, MRT is how much a supplier is willing to give up producing good X for 1 additional unit of good Y. It is shown by Production Possibility Frontier. MRT = MC of X/ MC of Y

8 0
3 years ago
Joshua wants to burn at least 400 calories per day, but no more than 600. He does this by walking and playing basketball. Assumi
Kamila [148]
All you have to do is put the walking amount in for w and basketball in for b. Do it for all of these, if it is less than 400 or greater than 600, it is not a solution.

(4 x 40) + (5 x 40) = 360 so reject because it is less than 400.

I'll let you do the rest.
3 0
4 years ago
Read 2 more answers
I need help please ):
rjkz [21]

Answer:

100

Step-by-step explanation:

multiply in the formula

4 0
3 years ago
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What are the x- and y-intercepts of the line tangent to the circle (x – 2)2 + (y – 2)2 = 52 at the point (5, 6)?
Mrrafil [7]
1 ) They are perpendicular.
2 ) m · (-1) / m = -1.
The product of the slopes is -1.
3 ) The center of the circle is ( 2, 2 ).
4 ) m = (6-2 ) / 5 -2 = 4/3
5 ) Slope of the tangent: m = - 3/4.
6 ) m = -3/4, passes through the point: ( 5. 6 ):
6 = - 15/4 + b
b = 24/4 + 15/4
b = 39/4
The slope-intercept equation is:
y = -3/4 x + 39/4
7) We will put : x = 0 in the linear equation.
8 ) We will put y = 0 in the linear equation.
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Zero: x = 13.

3 0
3 years ago
2. Solve the following system of equations. y = 5 + x 2x + 2y = 30
larisa86 [58]
X = 5

since we know y= 5 + x , plug this into y in the second equation.

2x + 2 (5 + x) = 30

distribute 2 into the 5 and x

2x + 10 + 2x = 30

combine like terms

4x + 10 = 30

subtract 10 from both sides

4x = 20

divide four by both sides to isolate the variable

x = 5
5 0
3 years ago
Read 2 more answers
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