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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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If the probability of drawing an ace from a deck of cards is 0.077 and the probability of rolling a "2" using a fair die is 0.16

Vlad1618 [11]

The probability of drawing an ace and rolling a "2" is = 0.077 × 0.167

you just multiply and get the answer.

3 0

3 years ago

James asks 60 pupils which drink they liked best from cola milk and water 32 boys were in the survey 12 of the boys said they li

adelina 88 [10]

Answer:

Students altogether liked cola the best 26

Step-by-step explanation:

Total no of pupils = 60

Boys = 32

girls = 28

we will make a table

Gender cola milk water total

Boys 12 4 32

Girls 9 28

we can find the missing numbers

Let x be for milk

In boys 12 + x + 4 = 32

x = 16

In girls

as 21 liked milk altogether

so girls = 21 - 16 = 5

Gender cola milk water total

Boys 12 16 4 32

Girls 5 9 28

For cola let y

in girls

y + 5 + 9 = 28

y = 14

Gender cola milk water total

Boys 12 16 4 32

Girls 14 5 9 28

Altogether cola = 14 + 12 = 26

8 0

2 years ago

Solve for x: three fourths times x plus five fourths equals four times x

Nostrana [21]

Answer:

x equals five thirteenths

Step-by-step explanation:

To solve this, we will follow the steps below;

$\frac{3}{4}$ × x + $\frac{5}{4}$ = 4 × x

$\frac{3x}{4}$ + $\frac{5}{4}$ = 4x

$\frac{3x + 5}{4}$ = 4x

Multiply both-side of the equation by 4

$\frac{3x + 5}{4}$ × 4= 4x × 4

On the left-hand side of the equation 4 will cancel-out 4, thus the equation becomes;

3x + 5 = 16x

subtract 3x from both-side of the equation

16x - 3x = 5

13x = 5

Divide both-side of the equation by 13

$\frac{13x}{13}$ = $\frac{5}{13}$

(On the left-hand side of the equation 13 at the numerator will cancel-out 13 at the denominator while on the right-hand side of the equation 5 will be divided by 13)

x = $\frac{5}{13}$

x equals five thirteenths

7 0

3 years ago

2 < X < 8 x is an integer. Write down the possible values of x.

Rufina [12.5K]

answer: 3, 4, 5, 6, 7

4 0

2 years ago

1001112 = [ ? ]10 ? what number belongs where the question mark is

EleoNora [17]

I suppose you're supposed to convert 100111 from base 2 to base 10. We have

$100111_2=2^5+2^2+2^1+2^0=32+4+2+1=39_{10}$

so the missing number is 39.

4 0

3 years ago