what is 3(3x +2) = 9x-7

Answer:

30 square cm

Step-by-step explanation:

Hope this helped

The Mean Absolute Deviation for the following data: 6, 1, 3, 8, 5, 11, 1, 5 is 2.5

The mean absolute deviation of a dataset is the average distance between each data point and the mean.

mean absolute deviation = \(\frac{summation|x-mean|}{n}\)

where

Therefore, let's calculate the mean first.

Arrange the data in ascending order.

1, 1, 3, 5, 5, 6, 8, 11

mean = 1 + 1 + 3 + 5 + 5 + 6 + 8 + 11 / 8 = 40 / 8 = 5

Therefore, let's calculate the distance between each dat point and mean.

|1 - 5| + |1-5| + |3-5| + |5-5| + |5-5| + |6-5| + |8-5| + |11-5|

4 + 4 + 2 + 0 + 0 + 1 + 3 + 6 = 20

Hence,

mean absolute deviation = 20 / 8 = 2.5

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Answer:

560

Step-by-step explanation:

I'm kinda confused on whats being asked i went with just question number 5

Answer:

She received a 35% discount    :)).  

Step-by-step explanation:

Answer:

2/5    or 0.4

Step-by-step explanation:   i'm smart

The total cost of a CD player is $58.52

a) The algebraic fraction \(\frac{{x + 2}}{{(x - 1)^2}}\) is proper. b) The algebraic fraction \(\frac{{4x^2 - 31x + 59}}{{(x - 4)^2}}\) can be expressed as \(-\frac{{31}}{{x - 4}} - \frac{{25}}{{(x - 4)^2}}\).

Let's solve each part step by step and determine whether the fraction is proper or improper, and then express it accordingly.

a) \(\frac{{x + 2}}{{(x - 1)^2}}\):

Step 1: Determine the degree of the numerator and the denominator:

  - Degree of the numerator = 1 (linear term)

  - Degree of the denominator = 2 (quadratic term)

Since the degree of the numerator is less than the degree of the denominator, the fraction is proper.

Step 2: Express the proper fraction in partial fractions:

\(\frac{{x + 2}}{{(x - 1)^2}} = \frac{A}{{x - 1}} + \frac{B}{{(x - 1)^2}}\).

Step 3: Find the values of A and B:

Multiply both sides of the equation by \(((x - 1)^2)\) to eliminate the denominators:

  (x + 2) = A(x - 1) + B.

Expand the equation and collect like terms:

  x + 2 = Ax - A + B.

Equate the coefficients of like terms:

  Coefficient of x: 1 = A.

  Constant term: 2 = -A + B.

Solve the system of equations to find the values of A and B:

From the coefficient of x, A = 1.

Substituting A = 1 into the constant term equation: 2 = -1 + B, we find B = 3.

Therefore, the partial fraction decomposition is:

  \(\frac{{x + 2}}{{(x - 1)^2}} = \frac{1}{{x - 1}} + \frac{3}{{(x - 1)^2}}\).

b) \(\frac{{4x^2 - 31x + 59}}{{(x - 4)^2}}\):

Step 1: Determine the degree of the numerator and the denominator:

  - Degree of the numerator = 2 (quadratic term)

  - Degree of the denominator = 2 (quadratic term)

Since the degree of the numerator is equal to the degree of the denominator, the fraction is proper.

Step 2: Express the proper fraction in partial fractions:

  \(\frac{{4x^2 - 31x + 59}}{{(x - 4)^2}} = \frac{A}{{x - 4}} + \frac{B}{{(x - 4)^2}}\).

Step 3: Find the values of A and B:

Multiply both sides of the equation by \(((x - 4)^2)\) to eliminate the denominators:

  (4x^2 - 31x + 59) = A(x - 4) + B.

Expand the equation and collect like terms:

  4x^2 - 31x + 59 = Ax - 4A + B.

Equate the coefficients of like terms:

Coefficient of \(x^2\): 4 = 0 (No \(x^2\) term on the right side).

Coefficient of x: -31 = A.

Constant term: 59 = -4A + B.

Solve the system of equations to find the values of A and B:

From the coefficient of x, A = -31.

Substituting A = -31 into the constant term equation: 59 = 4(31) + B, we find B = -25.

Therefore, the partial fraction decomposition is:

  \(\frac{{4x^2 - 31x + 59}}{{(x - 4)^2}} = -\frac{{31}}{{x - 4}} - \frac{{25}}{{(x - 4)^2}}\).

The above steps provide the solution for each part, including determining if the fraction is proper or improper and expressing it in partial fractions.

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Answer:

5 7/24

Step-by-step explanation:

Given the following mathematical expression;

12 5/8 - 7 1/3

First of all, we would subtract the whole numbers;

12 5/8 - 7 1/3 = (12 - 7) 5/8 - 1/3

12 5/8 - 7 1/3 = 5 [5/8 - 1/3]

Next, we subtract the fractions from each other;

5/8 - 1/3

Lowest common multiple (lcm) = 24

5/8 - 1/3 = (15 - 8)/24

5/8 - 1/3 = 7/24

Combining the two parts, we have;

12 5/8 - 7 1/3 = 5 7/24

Answer:

1. b_ 2. a_ 3. c_ 4. d

Step-by-step explanation:

1 is b mainly because it is marked that way. Your picture doesn't show all of d so not really sure about it, but I used the process of elimination. Picture c is side angle side b/c of the vertical angles.

For the given function f(x) = x⁸(3-2x³) then

a. The roots of the function f(x) are x= 0 or ∛3/2.

b. When x →∞ then f(x) →∞

c. And x→-∞ then f(x) →-∞.

As given in the question,

Given function is equal to :

f(x) = x⁸(3-2x³)

a. Simplify the given function f(x) = x⁸(3-2x³) to get the roots of the f(x) we get,

f(x) =0

x⁸(3-2x³) = 0

⇒ x =0 or 3 -2x³ =0

⇒ x=0 or x = ∛3/2

b. When x → ∞

⇒x⁸ →∞ and (3-2x³) → ∞

⇒ x⁸(3-2x³) → ∞

When x →∞ then f(x) →∞

c. When x → -∞

⇒x⁸ →∞ and (3-2x³) →- ∞

⇒ x⁸(3-2x³) →- ∞

When x →-∞ then f(x) →-∞

Therefore, for the given function f(x) = x⁸(3-2x³) then

a. The roots of the function f(x) are x= 0 or ∛3/2.

b. When x →∞ then f(x) →∞

c. And x→-∞ then f(x) →-∞.

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Answer:

Hey there!

From least to greatest, we have |3|, |-46|, |71|, and |94|

Let me know if this helps :)

Answer:

63.25 sq ft

Step-by-step explanation:

Area of Semi-Circle = (Pi * r²)/2 + (6 * 8)/2

(3.14 * 25) /2 + 24

= 63.25

Answer:

u

Step-by-step explanation:

Answer:

267 miles

Step-by-step explanation:

hope that help

Answer:

C: 108 cubic inches

Step-by-step explanation:

This problem is simply asking us to calculate volume, and in a rectangular shape can be calculate as: length * width * height

Since we know that the base is 4 inches by 9 inches, we already have the length and width.

We're also given that the depth, which in this case is our height, as 3 inches.

So we multiply these three numbers: \(4 \text{ in} * 9 \text{ in} * 3\text{ in} = 108\text{ in}^3\)

So our answer is 108 cubic inches

Answer:

If cars did not exist people could do as the did before they were invented. Such as walk to where they need to go or use a horse and buggy or carriage.

Step-by-step explanation:

Answer:

C. 4.2 pounds Brand A. 0.8 pounds Brand B

Step-by-step explanation:

How much of each brand of coffee is needed to make 5 pounds that will cost

$6.75/pound?

Let the number of pounds for Brand A = x

Let the number of pounds for Brand B = y

Brand A coffee sells for $7/pound, while Brand B sells for $5.40/pound.

$7 × x + $5.40 × y = $6.75 × 5

7x + 5.40y = 33.75.......Equation 1

x + y = 5 .......Equation 2

x = 5 - y

7(5 - y)+ 5.40y = 33.75

35 - 7y + 5.40y = 33.75

35 - 33.75 = 7y - 5.40y

= 1.25 = 1.6y

y = 1.25/1.6

y = 0.78125 pounds.

Approximately to the nearest whole number, Brand B = 0.8 pounds.

x = 5 - y

x = 5 - 0.8 pounds

x = 4.2 pounds

Brand A = 4.2 pounds

Step 1

Nathaniel

Start time = t

Speed = 48

Step 2

Mikaela

Step 3

Equate the two distance

Final answer

Answer: 1 hour

Answer:obtuse angle

Step-by-step explanation:

An obtuse angle is an angle of greater than 90° and less than 180°. It is bigger than an acute angle. It is smaller than a straight angle, which measures 180°. Angles are measured with a protractor obtuse angle is specifically present in hexagon and pentagon and others.

Answer:

0.35? That is correct?

Answer:

5. Proofs attached to answer

Step-by-step explanation:

Proofs attached to answer

Answer:

-6

Step-by-step explanation:

The slope of a perpendicular line has the slope of the opposite and reciprocal of the current line. We would get -1/6 and then -6.

Answer:

option b 3x+6y=-57

-3x-6y=57

Step-by-step explanation:

please mark me as brainlest

Answer:

Increase: 1.7

Decrease: 0.3

Step-by-step explanation:

Increase:

100% + 70% = 117%

117/ 100 = 1.7 (multiplier)

Decrease:

100% - 70%= 30%

30/ 100 = 0.3 (multiplier)

Answer:

the - are the x or y

Step-by-step explanation:

Answer:

she can purchase 3

Step-by-step explanation:

(50 - 20) = $30 left to spend

8 x 3 = 24 so she only has enough to buy 3

Option(A) is the correct answer is A. 1,335 birds.

To calculate the number of birds that will be left after 20 years, we need to consider the annual decline rate of 2%.

We can use the formula for exponential decay:

N = N₀ * (1 - r/100)^t

Where:

N is the final number of birds after t years

N₀ is the initial number of birds (2,000 in this case)

r is the annual decline rate (2% or 0.02)

t is the number of years (20 in this case)

Plugging in the values, we get:

N = 2,000 * (1 - 0.02)^20

N = 2,000 * (0.98)^20

N ≈ 2,000 * 0.672749

N ≈ 1,345.498

Rounded to the nearest whole number, the number of birds that will be left after 20 years is 1,345.

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