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

Answer:

u

Step-by-step explanation:

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: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:

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)

Step 1

Nathaniel

Start time = t

Speed = 48

Step 2

Mikaela

Step 3

Equate the two distance

Final answer

Answer: 1 hour

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:

She received a 35% discount    :)).  

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

Answer:

5. Proofs attached to answer

Step-by-step explanation:

Proofs attached to answer

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

Answer:

560

Step-by-step explanation:

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

Answer:

the - are the x or y

Step-by-step explanation:

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:

2/5    or 0.4

Step-by-step explanation:   i'm smart

Answer:

30 square cm

Step-by-step explanation:

Hope this helped

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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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:

267 miles

Step-by-step explanation:

hope that help

Answer:

Hey there!

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

Let me know if this helps :)

Answer:

0.35? That is correct?

The total cost of a CD player is $58.52

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

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:

-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:

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.

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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