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2 years ago

Coach DeCaro records the cross country runners' times compared to their personal best times.

Mathematics

2 answers:

posledela2 years ago

5 0

Answer: Option B

( ik it's late but i needed the points lol)

Step-by-step explanation:

I got it right on my unit test on edge2021

love history [14]2 years ago

3 0

Answer:I think its C but Im not sure

Step-by-step explanation: SMILE MORE!!! :D

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The difference between two numbers is 275.the smaller number is 236 what is the sum of both numbers

kirza4 [7]

Answer:

747

Step-by-step explanation:

let the 2 numbers be x and y with x > y, then

x - y = 275 ( the difference of the 2 numbers ) and

x - 236 = 275 ( the smaller number y = 236 )

Add 236 to both sides

x = 511

Thus x = 511 and y = 236, thus

x + y = 511 + 236 = 747

7 0

3 years ago

Find an nth-degree polynomial function with real coefficients satisfying the given conditions.

lesya692 [45]

Answer:

$\displaystyle f(x) = -2(x-2)(x^2+4)$

Step-by-step explanation:

We want to find a third degree polynomial with zeros x = 2 and x = 2i and f(-1) = 30.

First, note that by the Complex Root Theorem, since x = 2i is a root, x = -2i must also be a root.

Hence, we will have the three factors:

$\displaystyle f(x) = a(x-(2))(x-(2i))(x-(-2i))$

Where a is the leading coefficient.

Expand and simplify the second and third factors:

$\displaystyle \begin{aligned} (x-(2i))(x-(-2i)) &= (x-2i)(x+2i) \\ \\ &= x(x-2i)+2i(x-2i) \\ \\ &= (x^2 - 2ix) + (2ix - 4i^2) \\ \\ &=x^2 + 4\end{aligned}$

Hence:

$\displaystyle f(x) = a(x-2)(x^2+4)$

Since f(-1) = 30:

$\displaystyle \begin{aligned} f(x) &= a(x-2)(x^2+4) \\ \\ (30) &= a((-1)-2)((-1)^2+4) \\ \\ 30 &= -15a \\ \\ a&= -2\end{aligned}$

In conclusion, third degree polynomial function is:

$\displaystyle f(x) = -2(x-2)(x^2+4)$

5 0

3 years ago

Which of the following is the equation for the line perpendicular to the line y= -x + 20 that passes through the point (-4, 2)?

Nadya [2.5K]

Answer:

Step-by-step explanation:

A 10= 4 plus 6

7 0

3 years ago

Y = (x+3)² – 64 how do you write this in standard form

gregori [183]

Answer:

i think its y = x² + 6x - 55

7 0

2 years ago

Please help me fast!!!! Joe and his family are touring Chicago. They want to visit the Willis Tower, hang out at Navy Pier, and

const2013 [10]

AM so they can have more time

4 0

3 years ago