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Schach [20]
2 years ago
10

Simplify each expression by combining like terms. 1) 3y+4x-y+2x 2) 3y+2+3x-y+5x

Mathematics
1 answer:
SVEN [57.7K]2 years ago
8 0

Answer:

Step-by-step explanation:

1) 2y + 6x

2) 2y + 8x +2

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Simplify the expression. 18+12x.
jek_recluse [69]

Answer:

12x+18

Step-by-step explanation:

That is allready completely simplified.

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2 years ago
A roller coaster at XTRA Fun Rides goes into an underground tunnel during the first descent of the
gregori [183]

Answer:

y-intercept:  (0, 75) ⇒ y = 75

x-intercepts:  (3, 0) and (5, 0) ⇒ x = 3 and x = 5

vertex: (4, -5)

Step-by-step explanation:

Let the x-axis be the ground (when y = 0).  Therefore underground when y < 0 and overground when y > 0

The function is a quadratic:  f(x) = ax² + bx + c

If the coaster enters the tunnel three seconds after the first descent starts and stays in the tunnel for a total of 2 seconds, then y = 0 when x = 3 and x = 5

Also, when x = 1, y = 40

  • f(3) = 0
    ⇒ 9a + 3b + c = 0
  • f(5) = 0
    ⇒ 25a + 5b + c = 0
  • f(1) = 40
    ⇒ a + b + c = 40

Solve 2 equations simultaneously:

  • 9a + 3b + c = 0
  • 25a + 5b + c = 0
  • a + b + c = 40

⇒ a = 5  b = -40  c = 75

⇒ f(x) = 5x² - 40x + 75

<u>y-intercept</u>

when x = 0

⇒ f(0) = 5(0²) - 40(0) + 75 = 75

⇒ y-intercept = (0, 75)

<u>x-intercepts</u>

x = 3 and x = 5

<u>Vertex</u>

If the x-intercepts are when x = 3 and x = 5, then vertex is when x = 4

⇒ f(4) = 5(4²) - 40(4) + 75 = -5

⇒ vertex = (4, -5)

5 0
2 years ago
What is a complex series notation that equals one
Romashka [77]

we know the complex number has standard form a+ib

Inorder to find our answer ib^2 should.be 1

Ex:-

2-i

2:-

\\ \sf\longmapsto 2+2i^2

  • i^4=1
3 0
3 years ago
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fenix001 [56]

answer:

8417yd

Step-by-step explanation:

6 0
3 years ago
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Answer the following questions CORRECTLY I will know if this is wrong. I WILL REPORT ANY INCORRECT ANSWERS!
timurjin [86]

Answer by JKismyhusbandbae: add 5 to 23

Explanation: The numbers are increasing by 5 each term. To double check 13 - 8 equals 5. To make sure it's right add 13 + 5 equals 18 and so you can add 23 plus 5 equals 28. Which means that five is our pattern.

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