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3 years ago

Help with graphing!

Mathematics

1 answer:

Irina18 [472]3 years ago

5 0

Hi I’ll help you again:

Put these three points:
(-1 , 3)
(0 , 5.5)
(1 , 8)

That should do it!

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Follow the process of completing the square to solve x^2 - 10x + 8 = 0. What is the value of the constant that will be isolated

My name is Ann [436]

To solve using completing square method we proceed as follows:
x^2-10x+8=0
x^2-10x=-8
but
c=(b/2)^2
c=(10/2)^2=25
thus we can add this in our expression to get
x^2-10x+25=8+25
factorizing the LHS we get:
(x-5)(x-5)=33
(x-5)^2=33
getting the square roots of both sides we have:
x-5=+/-√33
x=5+/-√33

7 0

3 years ago

Read 2 more answers

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

What is the volume of a right pyramid with base area B=8ft^2 and height h=12 ft

vivado [14]

Answer:

The volume would be 31 cubic feet.

Step-by-step explanation:

To find this, use the formula for the area of a right pyramid.

A = 1/3bh

A = 1/3(8)(12)

A = 1/3(96)

A = 32

7 0

3 years ago

Josh is solving the equation 2 % + 2% and predicts that his

UkoKoshka [18]

Answer: 24 is the LCD

He is correct.

4 20/24 or 4 5/6 simplified

4 0

3 years ago

4. You have $3,000 and want to double it in 5 years. What rate of return must your

VladimirAG [237]

Answer:

4.3% , 645 ÷ 5 = 129, 4.3% of 3000 is 129

Step-by-step explanation:

7 0

3 years ago

Help with graphing!​

Help with graphing!