To three decimal places, find the value of the first positive x-intercept for the function f(x) = 2cos(x + 4) 1.712 0.712 –2.429 –2.712

The correct option is B.

Step-by-step explanation:

The given function is

We need to find the first positive x-intercept for the function f(x).

Equate f(x)=0, to find the x-intercepts.

Divide both sides by 2.

Subtract 4 from both sides.

For n=-1,

For n=0,

For n=1,

The first positive x-intercept for the function f(x) is 0.712. Therefore the correct option is B.

d. millimeters per hour.

step-by-step explanation:

we are given that,

carlo used a rain gauge to measure the amount of water his lawn is receiving from the sprinklers.

since, according to the options, we see that,

water cannot be measured by 'miles per hour', 'meters per second' and 'grams per seconds'.

we get that, the water can be measured by 'millimeters per hour'.

hence, the appropriate rate for describing the amount of water is 'millimeters per hour'.

answer is 8x+24

area of vanessa's patio = length × width

given, length = (3x² + 5x + 10)

width = (x² - 3x - 1)

area of vanessa's patio = (3x² + 5x + 10)(x² - 3x - 1)

= 3x²(x² - 3x - 1) + 5x(x² - 3x - 1) + 10(x² - 3x - 1)

= 3x⁴ - 9x³ - 3x² + 5x³ - 15x² - 5x + 10x² - 30x - 10

= 3x⁴ - 4x³ - 8x² - 35x - 10

hence, expression of vanessa's patio = (3x⁴ - 4x³ - 8x² - 35x - 10)