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3 years ago

(4x^2-2x-4)(2x+4) what is the product of the polynomials below?

Mathematics

1 answer:

tatiyna3 years ago

7 0

Answer:

8x³ + 12x² - 16x - 16

General Formulas and Concepts:

Order of Operations: BPEMDAS
Distributive Property

Step-by-step explanation:

<u>Step 1: Define expression</u>

(4x² - 2x - 4)(2x + 4)

<u>Step 2: Simplify</u>

Expand: 8x³ - 4x² - 8x + 16x² - 8x - 16
Combine like terms (x²): 8x³ + 12x² - 8x - 8x - 16
Combine like terms (x): 8x³ + 12x² - 16x - 16

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What’s 22,000 - 407% of 60?

DENIUS [597]

Answer:

21,755.8

Step-by-step explanation:

To solve this equation, we must first find 407% of 60.

To do this, place the percent over 100 (fraction form), then, multiply it by the number you're finding the percentage of.

407/100 x 60/1 = 24,420/100

24420 / 100 = 244.2

244.2 is 407% of 60.

Lastly, you subtract 244.2 from 22,000.

22,000 - 244.2 = 21,755.8

4 0

2 years ago

Classify the shape as precisely as possible based on its markings.

AlekseyPX

Answer:

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

Solve (16×^3-3×^2+43×-5)÷(×^2-2)

Oksana_A [137]

Answer:

3872/(x^2 - 2)

Step-by-step explanation:

Simplify the following:

(16^3 - 3^2 - 5×43)/(x^2 - 2)

3^2 = 9:

(16^3 - 9 - 5×43)/(x^2 - 2)

16^3 = 16×16^2:

(16×16^2 - 9 - 5×43)/(x^2 - 2)

| 1 | 6

× | 1 | 6

| 9 | 6

1 | 6 | 0

2 | 5 | 6:

(16×256 - 9 - 5×43)/(x^2 - 2)

16×256 = 4096:

(4096 - 9 - 5×43)/(x^2 - 2)

43 (-5) = -215:

(4096 - 9 + -215)/(x^2 - 2)

4096 - 9 - 215 = 3872:

Answer: 3872/(x^2 - 2)

7 0

2 years ago

A Table showing Freezing Temperatures in degrees with 2 columns and 6 rows. The First row, F, has the entries, negative 13, nega

Yuki888 [10]

Answer:

5F + -9 C= 160 39°F = 3.9

Step-by-step explanation:

A Table showing Freezing Temperatures in degrees with 2 columns and 6 rows. The First row, F, has the entries, negative 13, negative 4, 5, 14, 23. The second column, C, has the entries, negative 25, negative 20, negative 15, negative 10, negative 5.

The table shows temperatures below freezing measured in different units. Complete the equation in standard form to represent the relationship between F, a temperature measured in degrees Fahrenheit, and C, a temperature measured in degrees Celsius.

5F + -9 C = 160

39°F = 3.9°C rounded to the nearest tenth of a degree

9 0

2 years ago

Read 2 more answers

The gas mileage for a certain vehicle can be approximated by m=−0.05x2+3.5x−49, where x is the speed of the vehicle in mph. Dete

Whitepunk [10]

Answer:

Step-by-step explanation:

Given the gas mileage for a certain vehicle modeled by the equation m=−0.05x²+3.5x−49 where x is the speed of the vehicle in mph. In order to determine the speed(s) at which the car gets 9 mpg, we will substitute the value of m = 9 into the modeled equation and calculate x as shown;

m = −0.05x²+3.5x−49

when m= 9

9 = −0.05x²+3.5x−49

−0.05x²+3.5x−49 = 9

0.05x²-3.5x+49 = -9

Multiplying through by 100

5x²+350x−4900 = 900

Dividing through by 5;

x²+70x−980 = 180

x²+70x−980 - 180 = 0

x²+70x−1160 = 0

Using the general formula to get x;

a = 1, b = 70, c = -1160

x = -70±√70²-4(1)(-1160)/2

x = -70±√4900+4640)/2

x = -70±(√4900+4640)/2

x = -70±√9540/2

x = -70±97.7/2

x = -70+97.7/2

x = 27.7/2

x = 13.85mph

x ≈ 14 mph

Hence, the speed(s) at which the car gets 9 mpg to the nearest mph is 14mph

4 0

2 years ago