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3 years ago

Complete the synthetic division problem below. What is the quotient in polynomial form?

Mathematics

2 answers:

Vladimir [108]3 years ago

4 0

Answer:

A.2x²- 2x+2

Step-by-step explanation:apex

mr Goodwill [35]3 years ago

3 0

A; you need to bring down the first term, 2, multiply it by -2, resulting in -4. Add -4 to 2 to get -2. Multiply -2 and get a product of 4, and add that to the third term, -4. That would give you 2, that would then be multiplied by -2 to get -4 and when added to 4, would give you a remainder of 0.

The quotient coefficients would be 2, -2, and 2, which becomes 2x² -2x + 2.

Hope this helped :)

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Owen runs a pet store that sells rabbits. He wants to ensure he has more than 1 pound of dry food for every four rabbits he has

frosja888 [35]

0.25 pounds= 1 rabbit.
Let say he has 23 rabbits, but the he would need an extra 0.05 pound of dry food for the 23rd rabbit.
But if he has 22 rabbits, then Owen has .2 pounds of dry food to spare.
The answer would be 22 rabbits.

8 0

3 years ago

Read 2 more answers

eliot counts a group of coins staring with the quarters his sister counts the same coins she counting the pennies wiil they get

zalisa [80]

Answer: No, they would not get the same amount.

Step-by-step explanation:

Let the number of coins be x

Eliot counts a group of coins staring with the quarters.

As we know that

$1\ quarter=25\ cents$

So, Number of amount Eliot counts with the quarters is given by

$25\times x=25x\ cents$

Similarly, His sister counts the same coins she counting the pennies .

As we know that

$1\ penny=1\ cent$

So, Total amount his sister counts with the pennies is given by

$1\times x=x\ cents$

But we can see that

$25x\ cents\neq x\ cents$

Hence, No, they would not get the same amount.

7 0

3 years ago

A breed of cattle needs at least 10 proteins and 8 fats units per day. Feed type I provides 6 protein and 2 fat units at $4 per

Vikki [24]

Let the number of bags of feed type I to be used be x and the number of bags of feed type II to be used be y, then:

We are to minimize:

C = 4x + 3y

subject to the following constraints:

$6x+2y\geq10 \\ \\ 2x+3y\geq8 \\ \\ x\geq0,\ y\geq0$

From the graph of the 4 constraints above, the corner points are (0, 5), (1, 2), (4, 0).

Testing the objective function for the minimum corner point we have:

For (0, 5):
C = 4(0) + 3(5) = $15

For (1, 2):
C = 4(1) + 3(2) = 4 + 6 = $10

For (4, 0):
C = 4(4) + 3(0) = $16.

Therefore, the combination that yields the minimum cost is 1 bag of type I feed and 2 bags of type II feed.

7 0

3 years ago

I need help on these questions please! Quickly too

ale4655 [162]

By definition, a rational number is a precise number: or in other terms, we know its exact value. Irrational numbers are number that has endless digits on the right of the decimal points: in other terms, we can't know its exact value.

First question:
√2.5 = 1.58113.... It's endless, so irrational.
-√64 = -8 it's a whole number, so rational.
4√5 = 8.94427.... Endless, so irrational.
√14.4 = 3.7947... Endless so irrational.

So -√64 is the rational number.

Second:
7.885 is rational because has a defined number of digits after the decimal points.
π² = 9.8696.... Endless, so irrational.
√0.144 = 0.3794.... Endless, so irrational
√91 = 9.5393.... Endless, so irrational

So 7.885 is the rational number.

Third:
-7.8 bar: You can notice the line over the 8, this means that there's an infinite number of 8 after the decimal points. So it's 7.88888888888.... Endless, so irrational.
√25 = 5, whole number so rational
25.8125 Has a definite number of digits after the decimal point, so is rational.
√0.025 = 0.1581... Endless, so irrational.

So -7.8 bar and √0.025 are irrational.

Fourth:
π= 3.1415... Endless, so irrational.
1.425 has a definite number of digits after the decimal point, so rational.
√50 = 7.0710.... Endless, so irrational
√-4 Doesn't exist. Finding the square root of a negative number is mathematically impossible.

So 1.425 is the rational number.

Fifth:
√10 = 3.1622..... Endless, so irrational.
√100 = 10, a whole number so rational.
√1000 = 31.6227..... Endless, so irrational
√100000 = 316.2277...... Endless, so irrational.

√100 is the rational number.

Hope this helps!! :D And I hope you understood the lesson a bit more xD

5 0

4 years ago

15) 4+4(v - 6) <-29+ v<br> what’s v =

MA_775_DIABLO [31]

Answer:

The answer is: v < -3. So any number less than -3 fulfills the inequality.

Step-by-step explanation:

4 + 4(v - 6) < -29 + v

4 + 4v - 24 < -29 + v

4v - 20 < -29 + v

3v < -9

v < -3

Hope this helps! Have an awesome day! :-)

3 0

3 years ago