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timurjin [86]
3 years ago
10

Select all the expressions that will represent a rational number, without simplifying.

Mathematics
1 answer:
Afina-wow [57]3 years ago
5 0

ANSWER:

Use math websites

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A coyote population has decreased by 168 over the past 3 years. The same number of coyotes were lost each year. Which division e
a_sh-v [17]

Answer:

C, \frac{-168}{3}

Step-by-step explanation:

The number of coyotes is decreasing, which makes it negative, but you can't have a negative year, so the answer must be \frac{-168}{3}

6 0
3 years ago
What is the first term of the polynomial Raj ended up with?<br> 6x3<br> 8x3<br> 2xy2<br> 3xy2
laila [671]
The polynomial is a third degree polynomial with x and y terms so when written in standard form x comes before y and the x^3 is going to be the first term. The first term of this polynomial is 8x^3, aka the second answer choice.
4 0
3 years ago
The expression 7 + 2(x – 3) + 5x is simplified correctly in the correct order. Which of the steps has an incorrect justification
timama [110]

  7 + 2(x - 3) + 5x

= 7 +  2x - 6  + 5x     <em>distributed 2 into x - 3</em>

= 7 - 6  +  2x + 5x     <em>grouped like terms together</em>

=    1     +     7x

You didn't provide an image of the steps but hopefully you can figure it out based on the information I provided.

6 0
4 years ago
Read 2 more answers
Two sides of a triangle have lengths 6 cm and 6cm describe the possible lengths of the third side
Rashid [163]

Answer:

0 < x < 12

Step-by-step explanation:

Since it's given that side a and side b both have a length of 6, side c has to be  0 < x < 12.

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.

<u>a) The x-axis </u>

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

<u>b) The line y = 2  ( using the shell method )</u>

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

<u>c) The y-axis  ( using shell method )</u>

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

<u>d) The line x = -1    (using shell method )</u>

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
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