Which is bigger 0.20 or 0.02

Find an equation of a line that is tangent to the graph of f and parallel to the given line. Please see picture

ivanzaharov [21]

Answer:

y = 3x - 2 (smaller y-intercept)

y = 3x + 2 (larger y-intercept)

Step-by-step explanation:

First let's write the generic equation of a line:

y = ax + b

This line needs to be parallel to the line 3x - y + 5 = 0, so it needs to have the same slope of this line.

The line 3x - y + 5 = 0 has a slope of 3, so our line has a = 3:

y = 3x + b

Now we need to find the values of b that make this line tangent to the function f(x) = x^3

Let's first find the derivative of f(x) in relation to x:

df(x)/dx = 3x^2

This derivative is the slope of the tangent line to the function for any value of x. We need a slope of 3, so:

3x^2 = 3

x^2 = 1

x = ±1

Now, to find the y-values, we have:

f(1) = 1^3 = 1

f(-1) = (-1)^3 = -1

So, using the points (1,1) and (-1,-1) in our parallel line, we have:

first line using (1,1) : 1 = 3*1 + b

b = -2

second line using (-1,-1) : -1 = -3*1 + b

b = 2

The value of b is the y-intercept of the line, so the line with smaller y-intercept is y = 3x - 2, and the line with larger y-intercept is y = 3x + 2

8 0

2 years ago

Can you help me in write the perimeter of the triangle in a simplest form

Angelina_Jolie [31]

I got 6x+3

The three equations are:

(2x-6) + (3x+1) + (x+8) =perimeter

2x+3x+x/1x=6x

-6+1+8= 3

8 0

3 years ago

Pls help me with this question

Sedbober [7]

7/12, 3/4, 4/7, 5/8, 4/7

Answer:

Order from Least to Greatest

4/7 = 4/7 < 7/12 < 5/8 < 3/4

Showing Work

Rewriting as fractions if necessary:

7/12, 3/4, 4/7, 5/8, 4/7

The least common denominator (LCD) is: 168.

Rewriting as equivalent fractions with the LCD:

98/168, 126/168, 96/168, 105/168, 96/168

Ordering these fractions by the numerator in order from least to greatest:

96/168 = 96/168 < 98/168 < 105/168 < 126/168

Therefore, your input in order from least to greatest is:

Answer =======> 4/7 = 4/7 < 7/12 < 5/8 < 3/4

B): 1.35, 5/4, 1.349, 6/5, 7/6

Number of inputs ====> 5

Answer => Ascending Order: Least to Greatest =====> 7/6, 6/5, 5/4, 1.349, 1.35

C): 0.819, 0.8199, 81/100, 815/1000

Number of Inputs ======> 4

Answer ==> Ascending order (Least to Greatest ====> 81/100, 815/1000, 0.819, 0.8199

D): 3 4/7, 245/70, 3.572, 90/29

Number of Inputs: 4

Answer ==> Ascending Order(Least to Greatest) ==> 90/29, 245/70, 3.572, 3 4/7

Hope that helps!!!! : )

3 0

3 years ago

Read 2 more answers

Ben was paid less than $240 for working 4 days. He was paid $90

irina1246 [14]

Answer:

$50 each day

Step-by-step explanation:

240 - 90 = 150

150 / 3 = 50

3 0

2 years ago

¿Cuáles son las soluciones a la ecuación x2 - 8x = 24?

levacccp [35]

Es x2 o 2x ? Porque con x2 no se podrá resolver, tendría que ser 2x

7 0

2 years ago

Which is bigger 0.20 or 0.02​

Which is bigger 0.20 or 0.02