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Alinara [238K]
2 years ago
5

Plz help me tyvm :/ 10 points (no links) (no wrong or guessed answers)

Mathematics
2 answers:
Stella [2.4K]2 years ago
7 0

Answer:

2y

Step-by-step explanation:

2x-3=2y

2x-2y=3

german2 years ago
6 0

Answer:

x = 3, y = 1.5

Step-by-step explanation:

Given the 2 equations

x + 2y = 6 → (1)

2x - 3 = 2y → (2)

In (2) subtract 2y from both sides and add 3 to both sides

2x - 2y = 3 → (3)

Adding (1) and (3) term by term will eliminate the y- term

3x = 9 ( divide both sides by 3 )

x = 3

Substitute x = 3 into either of the 2 equations and solve for y

Substituting into (1)

3 + 2y = 6 ( subtract 3 from both sides )

2y = 3 ( divide both sides by 2 )

y = 1.5

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A university wants to build a new residence hall with dorm rooms. The length is 3x+1 ft and the width is x^2-1 ft. If the univer
Masja [62]

Length of room, l = 3x + 1 ft.

Breadth of room, b = x² -1 ft.

Now, it is given that university wants each room to have 195 ft² of living space.

So,

lb = A\\\\(x^2-1)(3x+1)=195\\\\3x^3+x^2-6x-1=195\\\\3x^3+x^2-6x-196=0

So, above equation has two complex root and one real root i.e x = 4.08 ft .

Therefore, Length of room is 13.24 ft and breadth is 15.65 ft.

Hence, this is the required solution.

7 0
3 years ago
Classify each of the power functions based on their end behavior (increasing or decreasing) as x = ∞
Svetlanka [38]

Answer: right side behavior:

              f(x) is Decreasing

             g(x) is Increasing

             h(x) is Increasing

             j(x) is Decreasing

<u>Step-by-step explanation:</u>

The rules for end behavior are based on 2 criteria: Sign of leading coefficient and Degree of polynomial

<u>Sign of leading coefficient</u> (term with greatest exponent):

  • If sign is positive, then right side is increasing
  • If sign is negative, then right side is decreasing

<u>Degree of polynomial</u> (greatest exponent of polynomial:

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  • If odd, then end behavior is opposite from the left and right

f(x) = -2x²

  • Sign is negative so right side is decreasing
  • Degree is even so left side is the same as the right side (decreasing)

as x → +∞, f(x) → +∞  Decreasing

as x → -∞, f(x) → -∞   Decreasing

g(x) = (x + 2)³

  • Sign is positive so right side is increasing
  • Degree is odd so left side is opposite of the right side (decreasing)

as x → +∞, f(x) → +∞  Increasing

as x → -∞, f(x) → -∞   Decreasing

h(x)=-1+x^{\frac{1}{2}}\implies h(x)=x^{\frac{1}{2}}-1  

  • Sign is positive so right side is increasing
  • Degree is an even <u>fraction</u> so left side is opposite of the right side as it approaches the y-intercept (-1)

as x → +∞, f(x) → +∞  Increasing

as x → -∞, f(x) → -1    Decreasing to -1

j(x)=\dfrac{1}{2}(-x)^5\implies j(x)=\dfrac{1}{2}(-1)^5(x)^5\implies j(x)=-\dfrac{1}{2}x^5

  • Sign is negative so right side is decreasing
  • Degree is odd so left side is opposite of the right side (increasing)

as x → +∞, f(x) → +∞  Decreasing

as x → -∞, f(x) → -∞   Increasing

6 0
3 years ago
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Murrr4er [49]

Answer:

I think it is 2

Step-by-step explanation:

AD is 2. AD is congruent to DC. So that means y = 2. I am not completely sure though.

7 0
2 years ago
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4 0
3 years ago
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Vilka [71]
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Diameter is twice as long as radius, so the radius of this circle is 14 mm (half of 28).

2 * 3.14 * 14 = 87.92 mm
3 0
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