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Tems11 [23]
3 years ago
6

What’s the answer but you also have to simplify

Mathematics
1 answer:
Jlenok [28]3 years ago
6 0

Answer:

<em><u>The</u></em><em><u> </u></em><em><u>answer</u></em><em><u> </u></em><em><u>is</u></em><em><u> </u></em><em><u>9x</u></em><em><u>²</u></em><em><u> </u></em><em><u>+</u></em><em><u> </u></em><em><u>3x</u></em><em><u> </u></em><em><u>-</u></em><em><u> </u></em><em><u>2</u></em><em><u>.</u></em>

Step-by-step explanation:

1) Collect like terms.

(7x^{2}  +  {2x}^{2} ) + ( - 2x + 5x) + (8 - 10)

2) Simplify.

{9x}^{2}  + 3x - 2

<em><u>Therefor</u></em><em><u>,</u></em><em><u> </u></em><em><u>the</u></em><em><u> </u></em><em><u>answer</u></em><em><u> </u></em><em><u>is</u></em><em><u> </u></em><em><u>9x</u></em><em><u>²</u></em><em><u> </u></em><em><u>+</u></em><em><u> </u></em><em><u>3x</u></em><em><u> </u></em><em><u>-</u></em><em><u> </u></em><em><u>2</u></em>.

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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
3 years ago
Read 2 more answers
In triangle ABC, m&lt;A = 30° and m&lt;B = 50°. What is the measure of Angle C?<br><br>​
Nataliya [291]

Answer:

100°

Step-by-step explanation:

The sum of the angles in a triangle is 180°

180°-30°-50°=100°

8 0
2 years ago
James is applying for a new job at a game design company. Job A offers $40,000 starting salary with a $1000 raise each year. Job
Ad libitum [116K]

Job B because every year he gets a $2800 every year and if he continues for 5 years he will get a total of $14000 but if he works at job A he gets $5000 after 5 years

6 0
3 years ago
Read 2 more answers
How do i answer this?? please help...
Kipish [7]

The equation cannot be solved, but it can be simplified.

You can't add variables with different exponents. For example, you can't add

x^2  with  x^3  because they have different exponents

7 0
4 years ago
The base of a right rectangular prism has an area of 173.6 square centimeters and a height of 9 centimeters. What is the volume,
Ivenika [448]

Answer:

hope this helps

Step-by-step explanation:

We are given the an area of

173.6 cm

and a height of 9 cm.

We also know that the formula for area is lw, meaning we can substitute the area for lw

in the volume formula.

Now let's plug in what we know into the formula and solve for the volume:

V=(173.6 cm2)(9 c)=1562.4 cm3 The volume of the rectangular prism is

1562.4 cm3

.

4 0
3 years ago
Read 2 more answers
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