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dimaraw [331]
3 years ago
15

Which of the following shows 9x2y - 4x + 3y3x - 2y2 written in standard form?

Mathematics
2 answers:
prohojiy [21]3 years ago
8 0

Answer:

the answer is D.

Step-by-step explanation:

Bad White [126]3 years ago
6 0

Answer:

option (4) is correct.

the given expression 9x^2y-4x+3y^3x-2y^2  can be written in standard form as 3y^3x+9x^2y-2y^2-4x.

Step-by-step explanation:

The Standard form of writing an equation,  

1) Look at the degree of each term.

2)  You then write each term in order of degree, from highest to lowest, left to right..

3) The expression x^2y has an exponent of 2 on the x and an unwritten exponent of 1 on the y, so this term is to the third degree (2+1). We add the two degrees together because it has two variables.

Consider the given equation,

9x^2y-4x+3y^3x-2y^2

We have to write it in  standard form using the steps stated above,

first we find the degree of each term in the given expression,

The expression x^2y has an exponent of 2 on the x and an unwritten exponent of 1 on the y, so this term is to the third degree (2+1).

The expression y^3x has an exponent of 3 on the y and an unwritten exponent of 1 on the x, so this term is to the third degree (3+1).

So the highest degree in the given expression is  3y^3x

write each term in order of degree, from highest to lowest, left to right.

following this , we can write the expression as,

3y^3x+9x^2y-2y^2-4x

Thus, option (4) is correct.




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soldi70 [24.7K]

Answer:

<h2>x\leq -  \frac{8}{15}</h2>

Step-by-step explanation:

<h3>2x \leq -  \frac{2}{7} (8x + 8)</h3>

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We have

<h3>14x\leq - 2(8x + 8)</h3>

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<h3>14x\leq - 16x - 16</h3>

<u>Add 16x to both sides</u>

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<h3>14x + 16x\leq16x - 16x - 16 \\30x\leq - 16</h3>

<u>Divide both sides by 30</u>

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<h3>x\leq -  \frac{8}{15}</h3>

Hope this helps you

5 0
3 years ago
F(x) = -x² + 4x - 1 find the value of f(x) if x = 0
ollegr [7]

Answer:

-1

Step-by-step explanation:

Given,

f(x) = -x² + 4x - 1 and x = 0

Putting the value of x we get,

f(0)= -0^{2} + (4 X 0) - 1

    = -0+0-1

    =-1

∴f(x)= -1

So, the required value is -1

8 0
3 years ago
You are going to mow your neighbor's lawn for some extra money. Below is a scale drawing of their lawn, where each square repres
Colt1911 [192]

9514 1404 393

Answer:

  1. rectangle; parallelogram with 90° angle
  2. 150 feet
  3. $40 flat rate

Step-by-step explanation:

1. The slope of AB is ...

  mAB = (yB-yA)/(xB-xA) = (4-0)/(6-3) = 4/3

The slope of AD is ...

  mAD = (yD-yA)/(xD-xA) = (6-0)/(-5-3) = 6/-8 = -3/4

The product of these slopes is (4/3)(-3/4) = -1, so the segments AB and AD are perpendicular.

The midpoints of AC and BD will be the same if the sum of their coordinates is the same:

  A+C = (3, 0) +(-2, 10) = (1, 10)

  B+D = (6, 4) +(-5, 6) = (1, 10)

The midpoints of the diagonals of ABCD are the same, so the figure is a parallelogram. One corner angle is 90°, so the parallelogram is a rectangle. The quadrilateral ABCD is a rectangle.

__

2.  Using the coordinate differences found in part 1, we know the length AB is the hypotenuse of a 3-4-5 triangle, so is 5 grid squares. Similarly, the length of AD is twice that length, so is 10 grid squares. The perimeter in grid squares is ...

  P = 2(L+W) = 2(10+5) = 30 . . . . grid squares

Each grid square represents 5 ft, so the perimeter is ...

  (30 squares)(5 ft/square) = 150 ft . . . perimeter

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3. The rectangle is 5 × 10 grid squares, or 25 × 50 ft. Then its area is ...

  A = LW = (50 ft)(25 ft) = 1250 ft²

At $0.03/ft², the payment for mowing would be ...

  ($0.03/ft²)(1250 ft²) = $37.50

The $40 flat rate would make you the most money.

5 0
3 years ago
Please answer!!!! will make brainliest!!!
hammer [34]

Answer:

B

Step-by-step explanation:

1.

  • 3(x+3) - 2 < 4
  • 3x + 9 -2 < 4
  • 3x < 4-7
  • 3x < - 3
  • x < -1
  • x = (-oo, -1)

2.

  • 1 - x ≤ -1
  • - x ≤ -1 - 1
  • -x ≤ -2
  • x ≥ 2
  • x = [2, +oo)

Correct choice is B.

7 0
3 years ago
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fredd [130]

Answer:

(- 4, - 10 )

Step-by-step explanation:

Given the 2 equations

y = x - 6 → (1)

x = - 4 → (2)

Substitute x = - 4 into (1) for corresponding value of y

y = - 4 - 6 = - 10

Solution is (- 4, - 10 )

4 0
3 years ago
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