What is the perimeter of a square with a side length of 15 inches?

One root of f(x) = x + 10x2 – 25x – 250 is x = -10. What are all the roots of the function? Use the Remainder Theorem.

Natalka [10]

Answer:

-10

-5

5

Step-by-step explanation:

From the answers given, you probably mean f(x) = x^3 + 10x2 – 25x – 250

The Remainder Theorem is going to take a bit to solve.

You have to try the factors of 250. One way to make your life a lot easier is to graph the equation. That will give you the roots.

The graph appears below. Since the y intercept is -250 the graph goes down quite a bit and if you show the y intercept then it will not be easy to see the roots.

However just to get the roots, the graph shows that

x = -10

x = - 5

x = 5

The last answer is the right one. To use the remainder theorem, you could show none of the answers will give 0s except the last one. For example, the second one will give

f((10) = 10^3 + 10*10^2 - 25*10 - 250

f(10) = 1000 + 1000 - 250 - 250

f(10) = 2000 - 500

f(10) = 1500 which is not 0.

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f(1) = (1)^3 + 10*(1)^2 - 25(1) - 250

f(1) = 1 + 10 - 25 - 250

f(1) = -264 which again is not zero

3 0

3 years ago

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Would it be A. B. C. D.

gtnhenbr [62]

Answer:

A. is the answer

7 0

1 year ago

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I WILL GIVE BRAINIEST Which statement is correct about the product of 9/10 and 7/8

Wewaii [24]

Answer:

7/10 and 7/8 are both less than 1.

Step-by-step explanation:

The product must be less than either factor because when you multiply a number by less than 1, the number gets smaller.

3 0

2 years ago

Find the width of a rectangle 25 feet and the perimeter is 80

lukranit [14]

$\huge\underline{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}$

Given - a rectangle with length 25 feet and perimeter 80 feet

To calculate - width of the rectangle

We know that ,

$\bold{Perimeter \: of \: rectangle = 2(l + b)} \\$

where b = width / breadth of rectangle

‎ ‎ ‎

substituting the values in the formula stated above ,

$\bold{80 = 2(25 + b)} \\ \\\bold{ \implies \: 25 + b = \cancel \frac{80}{2} } \\ \\ \bold{\implies \: 25 + b = 40 }\\ \\ \bold{\implies \: b = 40 - 25 }\\ \\\bold{ \implies \: b = 15 \: feet}$

hope helpful ~

3 0

2 years ago

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The Gaineys and the Arnolds are saving money for a trip to Utah to go snowboarding. The Arnolds are going to save a nickel on th

natali 33 [55]

Answer: see Explanation

Step-by-step explanation:

THE GAINEY'S:

Recursive Formula :

A1 = $10

An = An-1 + $10

A2 = $10 + $10 = $20

Where n = day of the month

Explicit formula :

y = a + b(c - 1)

WHERE:

y = final amount

initial amount = a

Increment on initial amount = b

Day of the month = c

THE ARNOLD'S :

Recursive formula:

First day of the month (A1) = $10

An = 2(An-1)

A2 = 2(A1) = 2(10) = $20

A3 = 2(A2) = 2(20) =$40

Explicit formula:

y = a(b)^c

Where :

y = final amount

initial amount = a

Increment on initial amount = b

Day of the month = c

5 0

2 years ago