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zepelin [54]
3 years ago
9

Enter the values for the highlighted variables to

Mathematics
1 answer:
kotegsom [21]3 years ago
8 0

Answer:

a= -1

b=-9

c=9

d=3

e=3

f=2

g=1.5

Step-by-step explanation:

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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
When x=12, y = -0.15(12 - 10)² + 15 = 14.4When x=15, y = -0.15(15 - 10)² + 15 = 11.25
The average rate of change between x =12 to x = 15 is(11.25 - 14.4)/(15 - 12) = -1.05
This rate of change represents the slope of the secant line from A to B. It approximates the rate at which f(x) decreases in the interval x =[12, 15].
5 0
3 years ago
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A road sign gives drivers information about traffic on busy highways. One sign shows 15 miles in 20 minutes. What is this speed
SIZIF [17.4K]

Answer: Speed in miles per hour is 45 mph.

Step-by-step explanation:

Since we have given that

Distance covered = 15 miles

Time taken to cover the above mentioned distance = 20 minutes

We need to calculate the speed in miles per hour ,

As we know the formula for " Speed " i.e.

Speed=\frac{Distance}{Time}

Now, we will put the value of distance and time in the above formula:

Speed=\frac{15}{20}\times 60\\\\Speed=15\times 3\\\\Speed=45\ mph

Hence, Speed in miles per hour is 45 mph.

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Answer:

B

Step-by-step explanation:

B cause

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Find three consecutive whose sum 237
Nina [5.8K]

Answer:

78 79 80

Step-by-step explanation:

Let the smallest number = x

Let the next number = x + 1

Let the largest number = x + 2

x + x + 1 + x + 2 = 237      Add together to get the equation

3x + 3 = 237                     Subtract 3 from both sides.

3x + 3 - 3 = 237 - 3          Combine the right

3x = 234                           Divide by 3

x = 234/3

x = 78

The smallest number is 78

The next number 79

The highest number is 80

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Answer:

x=14

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