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castortr0y [4]
2 years ago
9

A function, f(x), represents the distance a car travels over time. The line tangent to the function at x=1 is y=0.6x+0.9. The li

ne tangent to the function at x=4 is y=2.1x-3.2. The line tangent to the function at x=6 is y=4.6x-16.3.

Mathematics
1 answer:
Kamila [148]2 years ago
3 0

9514 1404 393

Answer:

  0.6

Step-by-step explanation:

The instantaneous rate of change at any point on a curve is the slope of the tangent line at that point.

At x=1, the tangent line is given as ...

  y = 0.6x +0.9

The slope of that line is the coefficient of x, 0.6.

The instantaneous rate of change of f(x) at x=1 is 0.6.

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Mark says that the number square root two is irrational number because he can write it as a fraction square root two over one is
Elan Coil [88]

Answer:

Step-by-step explanation:

A rational number are numbers that can be expressed as as fraction. They can be expressed as a ratio of two integers. An irrational is quite the opposite.  An irrational number cannot be expressed as a ratio of two integers.

Taking square root of two as an example;

√2 cannot be expressed as a ratio of two integers because the result will always be a decimal. If expressed as √2/1, it is still not a rational number because of the square root of 2 at the numerator. Square root of 2 is not an integer even though 1 is an integer.

Mark is wrong because √2 is irrational and it is irrational because it cannot be expressed as a ratio of two integers <em>not due to the fact that he can write it as a fraction.</em>

6 0
3 years ago
A bag of marbles consists of 14 blue marbles and 7 red marbles. If you reach into the bag and choose 2 marbles,
julsineya [31]

Answer:

chances are 10.5

Step-by-step explanation:

8 0
3 years ago
If the statement "If it is cold, then I wear a jacket" is assumed to be true, is its converse, "If I wear a jacket, then it must
Ad libitum [116K]

it is false, there could be other reasons they wear a jacket other than being cold.

8 0
3 years ago
A student spends no more than 2 hours on his math and English homework. If math takes about twice as long as English, what is th
Ivenika [448]

Answer:

1 hour

Step-by-step explanation:

if he spends 2 hours on his math, then half of that is 1 hour. However, if it's saying that be spend 2 hours on math and english <em>combined</em>, then the answer would only be 30 minutes. Hope this helps (:

4 0
3 years ago
Yara multiplies and divides a certain number by the same power of 10. The product she gets is 40,000 and the quotient she gets i
Elena L [17]
40,000 = 4 * 10^4
0.000004 = 4 * 10^-6
The power of 10 exactly in between 4 and -6 is -1.

She started with 4 * 10^(-1) which is 0.4.
0.4 * 100,000 = 40,000
0.4/100,000 = 0.000004

The number she started with is 0.4.
The power is 10^5.

8 0
3 years ago
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