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3 years ago

Find the derivative of f(x)=4x+7 at x=5

Mathematics

2 answers:

Allushta [10]3 years ago

7 0

The derivative f'(x) of a function f(x) gives us a way of finding the instantaneous rate of change of that function for any value of x.

Here, we're given the function f(x) = 4x + 7. This function describes a line, and the defining quality of a line is the fact that it has a constant rate of change. This rate of change is described by the slope of the line, which in this case is 4, so we'd say that the rate of change - the derivative - of f(x) for every value of x is 4.

It'll be 4 at x = 1, it'll be 4 at x = 5,and it'll still be 4 at x = 1,000,000

Marizza181 [45]3 years ago

5 0

The answer is 27??????

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Holly and her 2 brst friends go to dinner. Their total bill is 31.84. They use a coupon for 15% off the total. If they split the

Tresset [83]

ANSWER:

$9.0.

Each person will owe $9.0.

STEP-BY-STEP SOLUTION:

Total amount of people:
= 3

Total bill:
= $31.84

Discount off total bill:
= 15%

Total bill after discount:
= 31.84 × ( 100% - 15% )
= 31.84 × 85%
= 27.064

Total bill after discount split evenly / Amount each person will owe:
= 27.064 ÷ 3
= 9.0213 ( 3 repeater )
= $9.0 ( rounded to the nearest tenth )

6 0

3 years ago

Please need help don't understand please explain

const2013 [10]

Answer:

Combine like terms for the than you do to other side the multiply last for least you divide both sides

Step-by-step explanation:

4 0

3 years ago

Please help

user100 [1]

Answer:

Length of garden will be 30 metres.

Step-by-step explanation:

Let the Width of garden be x metres.

then,

Length of garden will be (x+6) metres.

Area = Length × Breadth

720 = x X (c+6)

720 = x²+6x

0 = x²+6x-720

As we can see above equation is a quadratic equation in the form of ax²+bx+C.

so,

$= \frac{ - b ± \sqrt{{b}^{2} - 4ac} }{2a} \\ = \frac{ - 6 ± \sqrt{{6}^{2} - 4 \times 1 \times - 720} }{2} \\ = \frac{ - 6 ± \sqrt{36 + 2880} }{2} \\ = \frac{ - 6 ± \sqrt{2916} }{2} \\ = \frac{ - 6 ± 54}{2}\\= \frac{-6+54}{2} ... \frac{ - 6 - 54}{2} \\ = \frac{48}{2} ... \frac{ - 60}{2} \\ = 24... - 30$

One of the Roots of the Quadratic equation is 24 and other is -30.

And as we know width of any garden cannot be negative so the width of garden will be 24 metres.

As we got the width,

adding 6 to it will give us the Length,

So,

24 metres + 6 = 30 metres.

Length of the garden is 30 metres.

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8 0

3 years ago

⚠️URGENT PLS HELP LINKS WILL BE REPORTED

Arte-miy333 [17]

Answer:

e and c

Step-by-step explanation:

4 0

2 years ago

5,900 round to the nearest thousand

Karo-lina-s [1.5K]

The answer is six thousand

3 0

3 years ago