All categories

3 years ago

Determine the function f(x) satisfying the given conditions.

1 answer:

8 0

f''(x) means function is of grade 1
f(x) = ax + b

f'(x) = a
f'(5) = 1 ⇒ a = 1

f(4) = -2
f(4) = 1×4 + b
-2 = 4 + b
b = -6

f(x) = x - 6

You might be interested in

A cone has a base with a radius of 9 mm and a height of 13 mm. What is the volume of the cone?

avanturin [10]

$\huge\underline{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}$

Given - a cone with base radius 9mm and height 13 mm

To calculate - volume of the cone

We know that ,

$Volume \: of \: cone = \frac{1}{3}\pi \: r {}^{2} h \\$

substituting the values in the formula ,

$Volume = \frac{1}{3} \times 3.14 \times 9 \times 9 \times 13 \\ \\ \implies \: 1.05 \times 81 \times 13 \\ \\ \implies \: 1105.65 \: mm {}^{3}$

hope helpful ~

7 0

2 years ago

What is 2^4+5*6*4+4/2*50 plz help

Lelechka [254]

It is 236. Happy to help (:

6 0

3 years ago

Read 2 more answers

Please show work for both problems

kirill [66]

Answer:

3) x = 15; 95 and 85 4) x = 12; 98 for both angles

Step-by-step explanation:

2x + 65 + 3x + 40 = 180 Set the equations equal to 180

5x + 105 = 180 Combine like terms

- 105 - 105 Subtract 105 from both sides

5x = 75 Divide both sides by 5

x = 15

Plug 15 into both equations

2(15) + 65 = 95

3(15) + 40 = 85

4) 5x + 38 = 9x - 10 Set the equations equal to each other

- 5x - 5x Subtract 5x from both sides

38 = 4x - 10

+ 10 + 10 Add 10 to both sides

48 = 4x Divide both sides by 4

12 = x

Plug 12 into both equations

5(12) + 38 = 98

9(12) - 10 = 98

6 0

3 years ago

Which expression is equivalent to (4x^(3)y^(5))(3x^(5)y)^(2)

marshall27 [118]

Answer:

$(4x^3y^5)(3x^5y)^2 = 36*x^{13}y^7$

Step-by-step explanation:

Given

$(4x^3y^5)(3x^5y)^2$

Required

The equivalent expression

We have:

$(4x^3y^5)(3x^5y)^2$

Expand

$(4x^3y^5)(3x^5y)^2 = 4x^3y^5*9x^{10}y^2$

Further expand

$(4x^3y^5)(3x^5y)^2 = 4*9*x^3*x^{10}y^5*y^2$

Apply laws of indices

$(4x^3y^5)(3x^5y)^2 = 36*x^{13}y^7$

8 0

3 years ago

Question 2: Ethan has a collection of 50 DVDs. If 32 of the DVDs are comedies, what percent of the DVDs are not comedies?

gladu [14]

Answer: 36% are not comedies

Step-by-step explanation:

32/50 = 64%

100 - 64 = 36

3 0

2 years ago