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Vera_Pavlovna [14]
2 years ago
15

4x + 5 = 6x – 7 solve for x

Mathematics
1 answer:
Hoochie [10]2 years ago
8 0

Answer:

x = 6

Step-by-step explanation:

4x + 5 = 6x - 7 subtract 4x from both sides

5 = 2x - 7 now add 7 to both sides

12 = 2x finally divide both sides by 2

x = 6

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What is the exact value of tan 30° ? Enter your answer, as a simplified fraction, in the box.
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Hmmm if you don't have a Unit Circle, this is a good time to get one, many you can find online.  Anyhow, check your unit circle for cos(30°) and sin(30°).

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8 0
3 years ago
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The graph below shows the height of a kicked soccer ball f(x), in feet, depending on the distance from the kicker x, in feet: Gr
siniylev [52]
Because the vertex of the parabola is at (16,0), its equation is of the formy = a(x-10)² + 15
The graph goes through (0,0), thereforea(0 - 10)² + 15 = 0100a = -15a = -0.15
The equation is y = f(x) = -0.15(x - 10)² + 15
The graph is shown below.
Part A
Note that y = f(x).
The x-intercepts identify values where the function or  y=0. The x-intercepts occur at x=0 and x=20, or at (0,0) and (20,0).
The maximum value of y occurs at the vertex (10, 15) because the curve is down due to the negative leading coefficient of -0.15.
The curve increases in the interval x = (-∞, 10) and it decreases in the interval x = (10, ∞).
Part B
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The average rate of change between x =12 to x = 15 is(11.25 - 14.4)/(15 - 12) = -1.05
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3 years ago
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