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3 years ago

What is the quotient when 2x3 + x + 3 is divided by x + 1?

Mathematics

1 answer:

Norma-Jean [14]3 years ago

6 0

2x³ +x +3 = (2x² -2x +3)(x +1)

Then (2x³ +x +3)/(x +1) = 2x² -2x +3

_____
The picture shows the synthetic division.

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Four glasses of milk and 2 snack bars have a total of 72 carbohydrates (carbs), and 2 glasses of milk and 3 snack bars have a t

Travka [436]

One glass of milk has 11 carbs and one snack bar has 14 carbs.

Step-by-step explanation:

Let,

Glass of milk = x

Snack bar = y

According to given statement;

4x+2y=72 Eqn 1

2x+3y=64 Eqn 2

Multiplying Eqn 2 by 2

$2(2x+3y=64)\\4x+6y=128\ \ \ Eqn\ 3$

Subtracting Eqn 1 from Eqn 3

$(4x+6y)-(4x+2y)=128-72\\4x+6y-4x-2y=56\\4y=56$

Dividing both sides by 4

$\frac{4y}{4}=\frac{56}{4}\\y=14$

Putting y=14 in Eqn 1

$4x+2(14)=72\\4x+28=72\\4x=72-28\\4x=44$

Dividing both sides by 4

$\frac{4x}{4}=\frac{44}{4}\\x=11$

One glass of milk has 11 carbs and one snack bar has 14 carbs.

Keywords: linear equations, subtraction

Learn more about linear equations at:

#LearnwithBrainly

6 0

2 years ago

Janelle earned 90% on a test and got 63 points. How many total points were possible on the test?

aliina [53]

Answer:

Step-by-step explanation:

8 0

3 years ago

Solve 2x^3 - 3x^2 + 8x - 12 = 0 (this is complex zeros btw)

coldgirl [10]

Move all Terms to the left side and set equal to zero. Then set each factor equal to zero.

$x= \frac{3}2} , 2i , -2i$

7 0

3 years ago

Question 1

Vikki [24]

Answer:

(B)15,36,39

Step-by-step explanation:

To determine which of the line segments could create a Right Triangle, we check if it satisfies the Pythagoras Theorem, taking the longest part to be the Hypotenuse in all cases.

By Pythagoras Theorem: $Hypotenuse^2=Opposite^2+Adjacent^2$

In 15,30,35

$35^2\neq 15^2+30^2\\1225\neq 1125$

In 15,36,39

$39^2=36^2+15^2\\1521=1521$

In 15, 20, 29

$29^2\neq 15^2+20^2\\841\neq 625$

In 5,15,30

$30^2\neq 15^2+5^2\\900\neq 250$

We can see that only 15,36,39 satisfies the required condition and thus it could be used to create a right triangle.

4 0

3 years ago

PLZ HELP ME I NEED HELP PLZ WRITE FAST

Mademuasel [1]

Answer:

1 pound

Step-by-step explanation:

11/12 - 5/6

(11 × 6) - (5 × 12)

––––––––––––

12 × 6

= 6/72

6 ÷ 6

–––––

72 ÷ 6

= 1/12

We're going to estimate that the answer is 1 pound.

8 0

3 years ago