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BlackZzzverrR [31]
3 years ago
6

Which student wrote an expression equivalent to 6x + 4x to the third power? Choose all that apply.

Mathematics
1 answer:
FinnZ [79.3K]3 years ago
7 0
Bart and David are correct. 
Bart 
6x(1+2/3^3)
6x * 1 = 6x
6x *2/3^3 = 4x^3
6x * 4x^3

David
x(6+4x^2)
x*6 = 6x
x*4x^2 = 4x^3
6x+4x^3

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Can someone please help me??
Fantom [35]

Answer:

b=3, y=6

Step-by-step explanation:

Label the 2 equations:

2b +6y= 42 -----(1)

2b +4y= 30 -----(2)

(1) -(2):

(2b +6y) -(2b +4y)= 42 -30

2b +6y -2b -4y= 12

2y= 12

y= 12 ÷2 <em>(</em><em>÷</em><em>2</em><em> </em><em>on</em><em> </em><em>both</em><em> </em><em>sides</em><em>)</em>

y= 6

Susbt. y=6 into (2):

2b +4(6)= 30

2b +24=30

2b= 30 -24 <em>(</em><em>-24</em><em> </em><em>on</em><em> </em><em>b</em><em>o</em><em>t</em><em>h</em><em> </em><em>sides</em><em>)</em>

2b= 6

b= 6 ÷2

b= 3

3 0
2 years ago
Read 2 more answers
Which graph represents the function<br> f(x) = (x + 4)(x + 1)(x - 3)<br> ?
attashe74 [19]

Answer:

Step-by-step explanation:

The graph that represents the function

f(x) = (x + 4)(x + 1)(x - 3)

crosses the x-axis three times: at x = -4, x = -1, and x = 3

because we apply the zero product rule and found the roots -4, -1, and 3

x+ 4= 0 → x = -4

x+1 = 0 → x = -1

x-3 = 0 → x = 3

8 0
2 years ago
You are the administrator of an annual essay contest scholarship fund. This year a $90,000 college scholarship is being divided
Vinil7 [7]

Answer:

Runner-up: $15,000

Winner: $75,000

Step-by-step explanation:

Let's create an equation for this problem.

Let x=the amount the runner-up receives

Let 5x=the amount the winner receives

Then,

x+5x=90,000

6x=90,000

x=15,000

5x=75,000

3 0
3 years ago
How can you determine the slope and the y- intercept of a line from a graph?
Molodets [167]
Slope: Take two points from the graph, and do y-y, over x-x.

for ex. (1,2) and (2,4) do 4-2 over 2-1. your slope is 2/1= 2


y-intercept: find the one point on the graph that is exactly on the y-axis.

for ex. (4,0)= your y-intercept is 4
6 0
3 years ago
Crispy Clover, a popular vegetarian restaurant, introduced a new menu that has 20%, percent more dishes than the previous menu.
Elden [556K]

Correct answers are D + D(\frac{1}{5}) and 1.2D i.e. Options A & D

<u>Step-by-step explanation:</u>

Options for this questions are:

A)D+1/5D

B)D+20

C)D+20D

D)1.2D choose two answers.

We have , Crispy Clover, a popular vegetarian restaurant, introduced a new menu that has 20%, percent more dishes than the previous menu. The previous menu had D dishes.We need to find expressions could represent how many dishes Crispy Clover's new menu has . Let's find out:

Initially , Number of dishes are D . Then 20% more dishes are there in menu

⇒ \frac{D(20)}{100}

So , Total Number of Dishes are

⇒ D + \frac{20d}{100}

⇒ D + \frac{20d}{20(5)}

⇒ D + D(\frac{1}{5})

⇒ D + D(0.2)

⇒ 1.2D

Therefore, Correct answers are D + D(\frac{1}{5}) and 1.2D i.e. Options A & D .

4 0
3 years ago
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