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Thepotemich [5.8K]
2 years ago
6

If

Mathematics
1 answer:
Elena L [17]2 years ago
3 0

Evaluate the derivative of f(x) at x = 1. I'll use the limit definition:

\displaystyle \lim_{x\to1} \frac{f(x)-f(1)}{x-1} = \lim_{x\to1} \frac{6x^2-x^3-5}{x-1} = \lim_{x\to1}(-x^2+5x+5) = 9

Then using the point-slope formula, the equation of the tangent line to f(x) at the point (1, 5) is

y - 5 = 9 (x - 1)

y = 9x - 4

You might be interested in
Which of the following is a radical equation?<br> Ox√3=13<br> O x+√3=13<br> O√x+3=13<br> O x+3=√13
vazorg [7]

Answer:

The answer is c because of how the equation is set and made

5 0
2 years ago
Suppose that we wish to assess whether more than 60 percent of all U.S. households in a particular income class bought life insu
IceJOKER [234]

Answer:

A. 0.0049

B. Yes

Step-by-step explanation:

Sample proportion = 0.64

N = 1000

Population proportion = 0.60

We solve for standard deviation

= √p(1-p)/n

= √0.60(1-0.60)/1000

= √0.60x0.40/1000

= √0.00024

= 0.0155

A.

The probability of sample >=0.64

Z>=0.64-0.60/0.0155

Z >= 0.04/0.0155

So z >= 2.5806

Using excel this equal to 0.0049

0.0049 is probability of sample proportion being 0.64 at least.

B.

This answer in a shows that than 60% of households in the united states income class purchased life insurance last year.

3 0
3 years ago
What are the zeros of this function?
BabaBlast [244]

Answer:

x = 0 and x = 6

Step-by-step explanation:

See the graph attached to this question.

It is clear from the graph that the curve touches x-axis i.e. y becomes zero at points x = 0 and x = 6

Therefore, the give parabola has zeros at x = 0 and x = 6. (Answer)

Zeros of a function y = f(x) are determined from the equation f(x) = 0 and solving it we will get the x-values which are the zeros of the function.

3 0
3 years ago
Keiko has a total of $ 5200 comma which she has invested in two accounts. The larger account is $ 900 greater than the smaller a
Ilia_Sergeevich [38]

Keiko has a total of $5200

x is the amount of money in larger account

y is the amount of money in smaller account

x - y = $900

and x + y = $5200

<u>This creates two simultaneous equations:</u>

x - y = $900 ... (i)

x + y = $5200 ... (ii)

Adding (i) and (ii) :

2x = $6100 , x = $3050

y = x - $900 = $3050 - $900 = $2150

The amount of money in larger account (x) = $3050

The amount of money in smaller account (y) = $2150

8 0
3 years ago
Which ordered pair is a solution of the equation?
SSSSS [86.1K]

Answer:

(a)

Step-by-step explanation:

To determine if the points are a solution to the equation.

Substitute the coordinates of the point into the left side of the equation and if equal to the right side then they are a solution.

(2, 5)

- 3(2) + 4(5) = - 6 + 20 = 14 ← True

(4, 6)

- 3(4) + 4(6) = - 12 + 24 = 12 ← False

Thus (2, 5) is the only solution to the equation → (a)

3 0
3 years ago
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