"He starts by sprinting 100 yards", so the first term is a_1 = 100

The common difference is d = 5 because he's adding 5 yards per day. The "21 days" info isn't going to be used at all

So because a_1 = 100 and d = 5, this means
a_n = a_1 + d*(n-1)
a_n = 100 + 5*(n-1)
a_n = 100 + (n-1)*5

Answer is choice D

7 0

3 years ago

A rectangle is (x+10)ft by (x+4)ft. If a square of length xft on a side is cut from the rectangle, represent the remaining area

Andrei [34K]

Answer: $A(x)=14x+40$

Step-by-step explanation:

Given : The dimension of a rectangle is (x+10)ft. by (x+4)ft.

Then, Area of rectangle will be :-

$A_1(x)=(x+10)\times(x+4)=x^2+(10+4)x+40\\\\\Rightarrow\ A_1(x)=x^2+14x+40$

If a square of length xft on a side is cut from the rectangle, then the area of the square :-

$A_2(x)=x^2$

Now, the remaining area in the form of a polynomial function A(x) will be :-

$A(x)=A_1(x)-A_2(x)\\\\=x^2+14x+40-x^2=14x+40$

Hence, the remaining area in the form of a polynomial function A(x) will be :-

$A(x)=14x+40$

7 0

3 years ago

The table shows the amount of milk that Wisconsin dairy farms produced from 1942 to

dangina [55]

Answer:

From the given table, it can be seen, that the amount of milk that Winconsin diary farms produced in 1972 is 7 billion pounds and that the amount of milk that Winconsin diary farms produced in 1997 is 8 billion pounds.

5 0

3 years ago

Which two numbers have a sum of 15 and a product of 36

kap26 [50]

Answer: 3 and 12

<u>Step-by-step explanation:</u>

Let x represent one of the numbers and y represent the other number. Then,

Sum: x + y = 15 → y = 15 - x

Product: xy = 36

Use substitution method by replacing "y" with "15 - x" in the second equation, then solve for x:

x(15 - x) = 36

15x - x² = 36

0 = x² - 15x + 36

0 = (x - 3)(x - 12)

0 = x - 3 and 0 = x - 12

x = 3 x = 12

5 0

3 years ago