All categories

2 years ago

Divide and find quotient and reminder 4x³+6x²+19x-5 by 2x+5

Mathematics

1 answer:

gayaneshka [121]2 years ago

7 0

Answer:

2x+5 ) 4x³ + 6x² + 19x - 5 (2x²-2x

4x³ +10x²

- -__________

- 4x² + 19x

- 4x² - 10x

+ +_______

29x - 5

Quotient = 2x² - 2x

Remainder = 29x - 5

You might be interested in

Point T, the midpoint of segment RS, can be found using the formulas x = (6 – 2) + 2 and y = (4 – 6) + 6. What are the coordinat

Fiesta28 [93]

Question:

Point T, the midpoint of segment RS, can be found using the formulas x = (1/2) (6 – 2) + 2 and y = (1/2) (4 – 6) + 6. What are the coordinates of point T?

Answer:

$T(4,5)$

Step-by-step explanation:

Given

$x = \frac{1}{2}(6 - 2) + 2$

$y = \frac{1}{2}(4 - 6) + 6$

Required

Determine the coordinates of T

The coordinates of T can be represented as $T(x,y)$

To do this, we simply solve for x and y

$x = \frac{1}{2}(6 - 2) + 2$

Solve 6 - 2

$x = \frac{1}{2}*4 + 2$

Solve 1/2 * 4

$x = 2 + 2$

$x = 4$

$y = \frac{1}{2}(4 - 6) + 6$

Solve 4 - 6

$y = \frac{1}{2}*-2 + 6$

Solve 1/2 * -2

$y = -1 + 6$

$y = 5$

Hence, the coordinates of T(x,y) is:

$T(x,y) = T(4,5)$

5 0

2 years ago

Read 2 more answers

What is the greatest common factor of 60x4y7, 45x5y5, and 75x3y? 5xy 15x3y 45x3y5 75x5y7

Pepsi [2]

I believe it’s 5xy since all the numbers are factors of five and since each number contains the variables xy.

6 0

2 years ago

Read 2 more answers

A veterinarian's office recorded one particular week that they had 50 patients. The following table shows the recorded number of

Gre4nikov [31]

Answer:

1. The correct answer is 46%

2. The correct answer is .07

3. The correct answer is (34%,58%)

4. The correct answer is (32%,60%)

Step-by-step explanation:

1. Let's calculate the percentage or proportion of patients that were dogs:

p = (7 + 4 + 5 + 5 + 2)/50 = 23/50 = 0.46

The correct answer is 46%

2. Let's estimate the standard error, using the given formula, this way:

S.e = √ (0.46 * 0.54)/50 = √0.049 = 0.07

The correct answer is .07

3. Let's calculate the confidence limits of the 90% confidence interval, this way:

Confidence limits = proportion +/- 1.645 * standard error

Confidence limits = 0.46 +/- 1.645 * 0.07

Confidence limits = 0.46 +/- 0.12

Confidence limits = 0.34, 0.58

The correct answer is (34%,58%)

4. Let's calculate the confidence limits of the 95% confidence interval, this way:

Confidence limits = proportion +/- 1.96 * standard error

Confidence limits = 0.46 +/- 1.96 * 0.07

Confidence limits = 0.46 +/- 0.14

Confidence limits = 0.32, 0.60

The correct answer is (32%,60%)

3 0

2 years ago

Which of the following predictions can be calculated using a geometric distribution?

snow_lady [41]

Answer: C

both a and b

Step-by-step explanation:

Both options A and B deals with the number of trials required for a single success. Thus, they are negative binomial distribution where the number of successes (r) is equal to 1.

The geometric distribution is a special case of the negative binomial distribution that deals with the number of trials required for a single success.

3 0

2 years ago

Read 2 more answers

Which choice describes the value of m when –5(m + 1) ≤ 23?

RSB [31]

Answer:

m $\leq$ -5.6