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3 years ago

14

What is the answer for this problem

1 answer:

neonofarm [45]3 years ago

5 0

Common denominator- 70
24/35 = 48/70
7/10= 49/70
7/10 is larger.

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If you have a cubic polynomial of the form y = ax^3 + bx^2 + cx + d and lets say it passes through the points (2,28), (-1, -5),

nikklg [1K]

Step-by-step explanation:

<u>Step 1: Solve using the first point</u>

<em>(2, 28)</em>

$28 = a(2)^3 + b(2)^2 + c(2) + d$

$28 = 8a + 4b + 2c + d$

<u>Step 2: Solve using the second point</u>

<em>(-1, -5)</em>

$-5 = a(-1)^3 + b(-1)^2 + c(-1) + d$

$-5 = -a + b - c + d$

<u>Step 3: Solve using the third point</u>

<em>(4, 220)</em>

$220 = a(4)^3 + b(4)^2 + c(4) + d$

$220 = 64a + 16b + 4c + d$

<u>Step 4: Solve using the fourth point</u>

<em>(-2, -20)</em>

$-20 = a(-2)^3 + b(-2)^2 + c(-2) + d$

$-20 = -8a + 4b - 2c + d$

<u>Step 5: Combine the first and fourth equations</u>

<u /> $28 - 20 = 8a - 8a + 4b + 4b + 2c - 2c + d + d$

$8 = 8b + 2d$

$8 - 8b = 8b - 8b + 2d$

$(8 -8b)/2 = 2d/2$

$4 - 4b = d$

<u>Step 6: Solve for c in the second equation</u>

$-5 + 5 = -a + b - c + d + 5$

$0 + c = -a + b - c + c + d + 5$

$c = -a + b + d + 5$

<u>Step 7: Substitute d with the stuff we got in step 5</u>

$c = -a + b + (4 - 4b) + 5$

$c = -a + b + 4 - 4b + 5$

$c = -a - 3b + 9$

<u>Step 8: Substitute d and c into the first equation</u>

<u /> $28 = 8a + 4b + 2(-a - 3b + 9) + (4 - 4b)$

$28 = 8a + 4b - 2a - 6b + 18 + 4 - 4b$

$28 - 22 = 6a - 6b + 22 - 22$

$6 / 6 = (6a - 6b) / 6$

$1 + b = a - b + b$

$1 + b = a$

<u>Step 9: Substitute a, b, and c into the third equation</u>

$220 = 64(1 + b) + 16b + 4(-(1 + b) - 3b + 9) + (4 - 4b)$

$220 = 64 + 64b + 16b + 4(-1 - b - 3b + 9) + 4 - 4b$

$220 - 100 = 60b + 100 - 100$

$120 / 60 = 60b / 60$

$2 = b$

<u>Step 10: Find a using b = 2</u>

$a = b + 1$

$a = (2) + 1$

$a = 3$

<u>Step 11: Find c using a = 3 and b = 2</u>

$c = -a - 3b + 9$

$c = -(3) - 3(2) + 9$

$c = -3 - 6 + 9$

$c = 0$

<u>Step 12: Find d using b = 2</u>

$d = 4 - 4b$

$d = 4 - 4(2)$

$d = 4 - 8$

$d = -4$

Answer: $a = 3, b = 2, c = 0,d = -4$

6 0

2 years ago

Read 2 more answers

The mean age of 6 women in an office is 25 years old.

tresset_1 [31]

Answer:

their marriage and 2 years before

5 0

2 years ago

Find the determinant of the matrix.

Natalka [10]

Answer:

0

Step-by-step explanation:

$\left[\begin{array}{ccc}a&b\\c&d\end{array}\right] = ad-bc$

0(4)-4(0) = 0

8 0

2 years ago

What is five times that quantity

yawa3891 [41]

Answer:

basically multiplication, (that quantity) times 5

Step-by-step explanation:

6 0

2 years ago

For skewed data displays, the median is often a better esitmate of the center of distribution than the mean, but

bazaltina [42]

For skewed data displays, the median is often a better estimate of the center of distribution than the mean because the former is unaffected by large numbers.

<h3>What is mean?</h3>

Mean refers to the average of set of two or more numbers.

Mean of a set having 'n' numbers = $\frac{Sum Of 'n' Numbers}{n}$

<h3>What is median?</h3>

Median refers to the middle-most value of a list of numbers, arranged either in ascending or descending order.

Median = $\left \{ {{\frac{n}{2}^{th} term, if n = even } \atop( (\frac{n-1}{2}+\frac{n+1}{2})/2)^{th} term, if n = odd }} \right.$

Now,

Since it takes the average of all the values in the data set, the mean is the most widely used measure of central tendency.
Because it is unaffected by exceptionally big numbers, the median performs better than the mean when analyzing data from skewed distributions.

Hence, For skewed data displays, the median is often a better estimate of the center of distribution than the mean.

To learn more about mean and median, refer to the link:brainly.com/question/6281520

#SPJ4

7 0

1 year ago