All categories

3 years ago

Find the domain of f(x)= sqrt2-9x

Mathematics

1 answer:

victus00 [196]3 years ago

5 0

f(x) = $\sqrt{2 - 9x}$

2 - 9x ≥ 0

- 9x ≥ - 2

$\frac{-9x}{-9} \geq \frac{-2}{-9}$

x ≤ $\frac{2}{9}$

Interval Notation: (-∞, $\frac{2}{9}$ ]

You might be interested in

Pleaseeeee answer correctly !!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!

Phoenix [80]

Answer:

2.5

Step-by-step explanation:

6 0

3 years ago

PLEASE HELP god bless Justify each step of the solution by stating the property that was used to get to each step. Given: 4(-6x

baherus [9]

4(-6x – 3) + 24x = -72x + 132

Step 1 -24x – 12 + 24x = -72x + 132 Distribute Property of Equality

Step 2: –12 = -72x + 132 equivalent

Step 3: -144 = -72x Subtraction Property of equality

Step 4: 2 = x Equivalent / Division property of equality

6 0

3 years ago

Use the disk method or the shell method to find the volumes of the solids generated by revolving the region bounded by the graph

diamong [38]

Answer:

a) 8π

b) 8/3 π

c) 32/5 π

d) 176/15 π

Step-by-step explanation:

Given lines : y = √x, y = 2, x = 0.

a) The x-axis

using the shell method

y = √x = , x = y^2

h = y^2 , p = y

vol = ( 2π ) $\int\limits^2_0 {ph} \, dy$

= $( 2\pi ) \int\limits^2_0 {y.y^2} \, dy$

∴ Vol = 8π

b) The line y = 2 ( using the shell method )

p = 2 - y

h = y^2

vol = ( 2π ) $\int\limits^2_0 {ph} \, dy$

= $( 2\pi ) \int\limits^2_0 {(2-y).y^2} \, dy$

= ( 2π ) * [ 2/3 * y^3 - y^4 / 4 ] ²₀

∴ Vol = 8/3 π

c) The y-axis ( using shell method )

h = 2-y = h = 2 - √x

p = x

vol = $(2\pi ) \int\limits^4_0 {ph} \, dx$

= $(2\pi ) \int\limits^4_0 {x(2-\sqrt{x} ) } \, dx$

= ( 2π ) [x^2 - 2/5*x^5/2 ]⁴₀

vol = ( 2π ) ( 16/5 ) = 32/5 π

d) The line x = -1 (using shell method )

p = 1 + x

h = 2√x

vol = $(2\pi ) \int\limits^4_0 {ph} \, dx$

Hence vol = 176/15 π

attached below is the graphical representation of P and h

3 0

3 years ago

Put these numbers in order from least to greatest 1/8, -0.333, -1/7

Gekata [30.6K]

Answer:

-0.333, -1/7, 1/8

Step-by-step explanation:

1/8 is the greatest because it is a positive number while the other two numbers are negative.

-0.333 or -1/3 is smaller than -1/7.

7 0

1 year ago

Identifying solutions by evaluating is the number a solution of 2x +1>-3

liq [111]

Answer:

b or c

Step-by-step explanation:

2×-1 +1= -1

-1>-3

2×0+1= 1

1>-3

For this reason the equality can be b or c

8 0

3 years ago