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lions [1.4K]
3 years ago
5

4(2x+7) +3 (2x+7) but (2x+7) is equal to 2

Mathematics
1 answer:
vodomira [7]3 years ago
6 0
Use the distributive property to get 8x+28+6x+21 then combine 8x and 6x and also combine 28 and 21 to get 14x+49, do u need to go further or?
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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
Right and solve a proportion to answer the question what percent of 25 is 12
FrozenT [24]

Answer:

25% of 12 is 3

Step-by-step explanation:

Think of percents like fractions. 25% is 1/4 in fraction form. Then multiply 1/4 to 12, which is the same is as 12 divided by 4. And your answer is 3

8 0
3 years ago
D
Gekata [30.6K]

Answer:

x=150°

Step-by-step explanation:

angle FEB is the same with angle AEG

6 0
2 years ago
Which expression is equivalent to 2cos2(x/2)-cos(x)
Pavel [41]

Answer:

B

Step-by-step explanation:

Edge

3 0
2 years ago
A rectangular box is x feet long and x feet wide. The volume of the box is (4x8 + 3x6) cubic feet. What polynomial represents th
andreev551 [17]
V=length\times width \times height\\\\\dfrac{V}{length\times width}=height\\\\\dfrac{4x^{8}+3x^{6}}{x^{2}}=height\\\\height=4x^{6}+3x^{4}
5 0
2 years ago
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