(Please help!) Divide: (4x² +33x+37) = (x+7) Quotient: Remainder:

Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.

sashaice [31]

Answer:

k = –10

Step-by-step explanation:

From the question given above, the following data were obtained:

f(x) = x³ – 6x² – 11x + k

Factor => x + 2

Value of K =?

Next, we shall obtained the value of x from x + 2. This is illustrated below:

x + 2 = 0

Collect like terms

x = 0 – 2

x = –2

Finally, we shall determine the value of k as illustrated below:

f(x) = x³ – 6x² – 11x + k

x = –2

Thus,

f(–2) = 0

x³ – 6x² – 11x + k = 0

(–2)³ – (–2)² – 11(–2) + k = 0

–8 – (4) + 22 + K = 0

–8 – 4 + 22 + K = 0

10 + k = 0

Collect like terms

k = 0 – 10

k = –10

Thus, the value of k is –10

7 0

3 years ago

What are the domain and range of the function represented by the set of ordered pairs? \ (-6,5),(-3,2),(-1,0),(5,-4)\

stellarik [79]

Answer:

The domain and the range of the function represented by the set of ordered pairs are {-6, -3, -1, 5} and {5, 2, 0, -4}

Step-by-step explanation:

In any set of ordered pairs,

The domain is the values of x (set of x) ⇒ the first number in each ordered pair

The range is the value of y (set of y) ⇒ the second number in each ordered pair

Let us solve the question

∵ The set of ordered pairs is {(-6, 5), (-3, 2), (-1, 0), (5, -4)}

∵ The first number in each ordered pair represents x

∴ x = -6, -3, -1, 5

∵ The set of x is the domain of the function

∴ The domain of the set of ordered pairs = {-6, -3, -1, 5}

∵ The second number in each ordered pair represents y

∴ y = 5, 2, 0, -4

∵ The set of y is the range of the function

∴ The range of the set of ordered pairs = {5, 2, 0, -4}

The domain and the range of the function represented by the set of ordered pairs are {-6, -3, -1, 5} and {5, 2, 0, -4}

3 0

3 years ago

Read 2 more answers

HELP IM BEING TIMED, ILL MARK BRAINLIEST.

Delicious77 [7]

Answer:

i think its b but im sorry if im wrong

Step-by-step explanation:

5 0

3 years ago

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The Rumpart family is building a new room onto their house. The width of the new room will be 16 feet. The length of the room wi

QveST [7]

Answer:

$\text{The length of new room}=16.64\text{ feet}$

$\text{Area of the new room}=266.24\text{ feet}^2$

Step-by-step explanation:

We have been given that the Rumpart family is building a new room onto their house. The width of the new room will be 16 feet.

The length of the room will be 4% greater than the width. This means that length of new room will be 16 feet plus 4% of 16.

$\text{The length of new room}=16+(\frac{4}{100}*16)$

$\text{The length of new room}=16+(0.04*16)$

$\text{The length of new room}=16+0.64$

$\text{The length of new room}=16.64$

Therefore, the expression $16+(0.04*16)$ represents the length of new room and the length of new room is 16.64 feet.

Since we know that area of a rectangular shape is width times length.

$\text{Area of rectangle}=\text{Length*Width}$

$\text{Area of the new room}=16\text{ feet}\times 16.64\text{ feet}$

$\text{Area of the new room}=266.24\text{ feet}^2$

Therefore, the area of the new room will be 266.24 square feet.

5 0

3 years ago

f a bag contains 10 red, 6 yellow, 24 blue, and 8 white balloons, what is the part-to-whole ratio of blue balloons to all balloo

pantera1 [17]

1 to 2 1:2 1/2 this should help you!

3 0

3 years ago

Read 2 more answers