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katovenus [111]
3 years ago
9

a race car is driving under the caution flag at 440 feet per second begins to accelerate at a constant rate after the warning fl

ag. the distance traveled since the warning flag in feet is characterized by 30t^2+440t, where t is the time in seconds after the car starts accelerating again. How long will the car take to travel 150 feet?
Mathematics
1 answer:
slava [35]3 years ago
6 0

Answer: \frac{1}{3}\ s

Step-by-step explanation:

Given

Distance traveled is s=30t^2+440t

for s=150 ft

\Rightarrow 30t^2+440t=150

\Rightarrow 30t^2+440t-150=0\\\Rightarrow 3t^2+44t-15=0\\\Rightarrow (3t-1)(t+15)=0\\\Rightarrow t=\dfrac{1}{3}\ s

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Find the domain and range of the function graphed in the picture.
algol [13]

The domain is the set of allowed x inputs, or x coordinates of a function. In this case, any point on the curve has an x coordinate that is 4 or smaller.

Therefore, the domain is the set of numbers x such that x \le 4

To write this in interval notation, we would write (-\infty, 4] This interval starts at negative infinity and stops at 4. We exclude infinity with the curved parenthesis and include 4 with the square bracket.

-----------------------------------------------------------------------

The range is the set of possible y outputs. Every point on this curve has a y coordinate that is either 0 or it is larger than 0.

The range is the set of y values such that y \ge 0

In interval notation, it would be written as [0, \infty) This time we start at 0 (including this endpoint) and "stop" at infinity

note: we always use curved parenthesis at positive or negative infinity because we cannot reach either infinity

7 0
4 years ago
1.2, 3, 7.5, 18.75, ...
Svetradugi [14.3K]

Answer:

1.2(2.5)x - 1

Step-by-step explanation:

3 0
3 years ago
Using f(x) = 2x + 7 and g(x) = x - 3, find f(g(x)).
Eva8 [605]

Answer:

2x+1

Step-by-step explanation:

that's a hard question

we know that g(x)= x-3

so f(g(x))= f(x-3)

we put it in the equation :

f(x-3)= 2(x-3) +7 = 2x-6+7 = 2x +1

6 0
3 years ago
Please help I’ll give you brainiest !
Salsk061 [2.6K]

Answer:

{290,315,340, 365, 390, 415, 440, 465} That's the answer. Its hard for me to explain how i got it.

4 0
3 years ago
If 49x2 + 28x - 10 is rewritten as p2 + 4p -10, what is p in terms of<br> p=
madam [21]

Answer:

p=7x

Step-by-step explanation:

49x^[2] + 28x - 10 = p^[2] + 4p -10

This equation is in the form a^[2]x + bx + c.

<u><em>The 'c' is common for both equations, this means the 'a' and 'b' must also be common. </em></u>

There are two ways to find p: 'a' or 'b'

<u>a method</u>

49x^[2] = p^[2]

=> The square root of both sides = 7x = p

<u>b method</u>

28x = 4p

28x/4 = 4p/4

7x = p

6 0
3 years ago
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