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11Alexandr11 [23.1K]
3 years ago
14

If f(x) = x-9, then f '(x) =​

Mathematics
1 answer:
erica [24]3 years ago
4 0

Answer:

1

Step-by-step explanation:

If you are just looking for the derivative, then all you need to use the power rule for this. Technically the x in (x-9) has a power to the 1, so really x^1-9. To use power rule, you bring down the exponent, in this case, 1, and then minus 1 from what the exponent was.

1x^(1-1) = 1x^0. The derivative of any constant is 0, so don't even worry about the -9. We know that anything raised to the zero is just 1, so in this case your answer is 1.

Hope this helps :)

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Which of the equations below shows the relationship in the table?
poizon [28]

Answer: y=15/x

For this problem you need to use trial and error.

For the first equation, 15-14 does equal 1, but 5-14 doesn’t equal 3. For the second equation, 15x15 doesn’t equal 1. For the third equation, 15+2 doesn’t equal 1. For the last equation, 15/15 is 1, 15/5 is 3, and so on. So, the last equation shows the relationship in the table.

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7 0
2 years ago
The quotient of 24 and x equals 14 minus 2 times x (into an equation don’t solve)
Katen [24]

Answer:

24 / x = 14 - 2x

Step-by-step explanation:

Quotient means division (÷ or /)

Quotient of 24 and x = 24 ÷ x

24 ÷ x is equivalent to 24 / x

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So, the equation is

24 / x = 14 - 2x

7 0
3 years ago
Devon has $45 in his savings account. which equation can be used to determine how much devon needs to save in order to have $315
Georgia [21]
<span>He has 45 dollars. He needs 315 dollars in order for him to have 315 dollars he would to need to save what? Then take 315-45= 270 dollars. Therefore he would need to save 270 dollars.

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6 0
3 years ago
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Three Nissans, two Fords, and four Chevrolets can be rented for $106 per day. At the same rates two Nissans, four Fords, and thr
Sindrei [870]

Answer:

The rental rate for the Fords is of $12 per day.

Step-by-step explanation:

This question is solved using a system of equations.

I am going to say that:

x is the cost of a Nissan.

y is the cost of a Ford.

z is the cost of a Chevrolet.

Three Nissans, two Fords, and four Chevrolets can be rented for $106 per day.

This means that:

3x + 2y + 4z = 106

Two Nissans, four Fords, and three Chevrolets cost $107 per day

This means that:

2x + 4y + 3z = 107

Four Nissans, three Fords, and two Chevrolets cost $102 per day.

This means that:

4x + 3y + 2z = 102

From the first equation:

4z = 106 - 3x - 2y

2z = 53 - 1.5x - y

z = 26.5 - 0.75x - 0.5y

Replacing into the third equation:

4x + 3y + 53 - 1.5x - y = 102

2.5x + 2y = 49

From the second equation:

2x + 4y + 3z = 107

2x = 107 - 4y - 3z

x = 53.5 - 2y - 1.5z

x = 53.5 - 2y - 1.5(26.5 - 0.75x - 0.5y)

x - 1.125x = 53.5 - 2y - 39.75 + 0.75y

-0.125x = 13.75 - 1.25y

0.125x = 1.25y - 13.75

x = \frac{1.25y - 13.75}{0.125}

x = 10y - 110

Find the rental rate for the Fords.

We have to find y, so:

2.5x + 2y = 49

2.5(10y - 110) + 2y = 49

25y - 275 + 2y = 49

27y = 324

y = \frac{324}{27}

y = 12

The rental rate for the Fords is of $12 per day.

3 0
3 years ago
For a sample of 100 students, the median number of text messages sent per day is 90, the first quartile is 78, and the third qua
Igoryamba

Answer:

between 78 and 102 texts and more than 78 text messages.

Step-by-step explanation:

the range of it is 102-178, so its between there, and its more than 78 as well if the range goes up to 102

7 0
3 years ago
Read 2 more answers
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