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Furkat [3]
3 years ago
5

Two column proof 2n-21=n/4

Mathematics
1 answer:
natita [175]3 years ago
4 0

Simplifying:

2n-21=0.25n


We move all terms containing n to the left and all other terms to the right.

+2n-0.25n=+21


We simplify left and right side of the equation.

+1.75n=+21


We divide both sides of the equation by 1.75 to get n.

n=12

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which of the following expressions represents the product of 3 less than twice x and 2 more than the quantity 3 times x?
kicyunya [14]
First, take a look at 3 less than twice x. Twice x would be 2x and 3 less than it would become 2x-3. 

Next, 2 more than the quantity 3 times x. The quantity of 3 times x is 3x and 2 more than that would be 3x+2. 

Now that we have our two equations, we need to multiply them together, which can be shown as (2x-3)(3x+2).

Then, multiply the two equations together using FOIL (multiply the first two terms, then the outside terms, then inside, and lastly, the last two terms): 2x times 3x, 2x times 2, -3x times 3x, and 2 times -3, which equates to 6x^2+4x-9x-6. 

Your final answer is 6x^2-5x-6. 
7 0
4 years ago
Help please i don’t know how to do it
Norma-Jean [14]

Answer:

Step-by-step explanation:

\frac{dy}{dx}=x^{2}(y-1)\\\frac{1}{y-1} \text{ } dy=x^{2} \text{ } dx\\\int \frac{1}{y-1} \text{ } dy=\int x^{2} \text{ } dx\\\ln|y-1|=\frac{x^{3}}{3}+C\\

From the initial condition,

\ln|3-1|=\frac{0^{3}}{3}+C\\\ln 2=C

So we have that \ln |y-1|=\frac{x^{3}}{3}+\ln 2\\e^{\frac{x^{3}}{3}+\ln 2}=y-1\\2e^{\frac{x^{3}}{3}}=y-1\\y=2e^{\frac{x^{3}}{3}}+1

4 0
3 years ago
PLEASE HELP!! brainliest if correct!!
Sonja [21]
Graph #1: No
Graph #2: Yes
Graph #3: No
Graph #4: No
Graph #5: No
Graph #6: Yes

Reasoning:

The vertical line test is a test that determines wether a graph is a function or a relation. The vertical line test shows that if you construct a vertical line through any point on the graph, then the vertical line should only intercept the graph once for it to be a function.
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2 years ago
Can someone help with question 3
kirza4 [7]

Answer:

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With 5n, you are multiplying a number and a variable.

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4 0
3 years ago
An article reports "sales have grown by 30% this year, to $200 million." What were sales before the growth? An article reports "
zimovet [89]

The amount of sales before growth according to the article is $153.85 million

<h3>How to find sales before growth?</h3>

let

  • Sales before growth = x
  • Percentage growth = 30%
  • New sales = $200 million

200 = x + (30% × x)

200 = x + (0.3 × x)

200 = x + 0.3x

200 = 1.3x

x = 200/1.3

x = 153.846153846153

Approximately,

x = $153.85 million

Learn more about percentage:

brainly.com/question/843074

#SPJ1

8 0
2 years ago
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