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adelina 88 [10]
3 years ago
8

Find the y-intercept for the parabola defined by

Mathematics
1 answer:
vekshin13 years ago
3 0
The y intercept is (0,5)
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(-3/2)x - 9 = - 27 solve for x
aleksklad [387]

Answer:

x = 12

Step-by-step explanation:

Solve for x:

(-3 x)/2 - 9 = -27

Put each term in (-3 x)/2 - 9 over the common denominator 2: (-3 x)/2 - 9 = (-18)/2 - (3 x)/2:

(-18)/2 - (3 x)/2 = -27

(-18)/2 - (3 x)/2 = (-3 x - 18)/2:

(-3 x - 18)/2 = -27

Multiply both sides of (-3 x - 18)/2 = -27 by 2:

(2 (-3 x - 18))/2 = -27×2

(2 (-3 x - 18))/2 = 2/2×(-3 x - 18) = -3 x - 18:

-3 x - 18 = -27×2

2 (-27) = -54:

-3 x - 18 = -54

Add 18 to both sides:

(18 - 18) - 3 x = 18 - 54

18 - 18 = 0:

-3 x = 18 - 54

18 - 54 = -36:

-3 x = -36

Divide both sides of -3 x = -36 by -3:

(-3 x)/(-3) = (-36)/(-3)

(-3)/(-3) = 1:

x = (-36)/(-3)

The gcd of -36 and -3 is -3, so (-36)/(-3) = (-3×12)/(-3×1) = (-3)/(-3)×12 = 12:

Answer:  x = 12

3 0
3 years ago
Please help :/<br><br> 20 POINTS
Dmitry [639]

Answer:

25.1!

Step-by-step explanation:

all you have to do is C=2πr=2·π·4≈25.13274

To calculate the circumference of a circle, multiply the diameter of the circle with π (pi). The circumference can also be calculated by multiplying 2×radius with pi (π=3.14).

Hope that helped! :)

3 0
3 years ago
Read 2 more answers
Item 31 Simplify (3x3y0x−2)4⋅(y2x−45xy−8)3. Write your answer using only positive exponents. Evaluate any numerical powers. The
madam [21]

Answer:

1032xy + 72

Step-by-step explanation:

(3x3y0x-2)4(y2x-45xy-8)3=

(0-2)×4(2xy-45xy-3)×3=

-2×4(2xy-45xy-3)×3=

-2×4(-43xy-3)×3=

-24(-43xy-3)

1032xy+72

8 0
3 years ago
Please help please help
Brums [2.3K]

Answer:

1: A

2:C

3: B

4:27

5:16

6:1

8 0
3 years ago
Identify the restrictions on the domain of f(x) = quantity x minus 3 over quantity x plus 5. x ≠ 5 x ≠ −5 x ≠ 3 x ≠ −3
Fantom [35]

Answer:

x ≠ - 5

Step-by-step explanation:

Given

f(x) = \frac{x-3}{x+5}

The denominator of f(x) cannot be zero as this would make f(x) undefined.

Equating the denominator to zero and solving gives the value that x cannot be.

solve : x + 5 = 0 ⇒ x = - 5 ← excluded value

6 0
3 years ago
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