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Alex777 [14]
3 years ago
5

Simplify each expression. Are these expressions equivalent.

Mathematics
1 answer:
OverLord2011 [107]3 years ago
6 0
Yes the expressions are equivalent
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What is x equal in the equation 6x+7=3x+2?
zavuch27 [327]

Answer:

x=-5/3

Step-by-step explanation:

6x+7=3x+2

6x-3x=2-7

3x=-5

x=-5/3

4 0
2 years ago
F(x)=2x+3 and g(x)=4x-2. Find f(x) x g(x). Find f(x) - g(x).
const2013 [10]

Answer:

<u><em>f(x) * g(x) is </em></u><u><em>8x^2 + 8x -6</em></u>

<u><em>f(x) - g(x) is </em></u><u><em>-2x + 5</em></u>

Step-by-step explanation:

<u><em>When finding the answer, we can notice they already give the values for the needed answers.</em></u>

<u><em>The first one requires f(x) and g(x). At the beginning of the question it shows that </em></u><u><em>f(x) is equal to 2x+3. Meaning we can plug in 2x+3 for f(x).</em></u>

<u><em>The same goes for g(x). At the begginning of the question, it shows that </em></u><u><em>g(x) is equal to 4x-2. Meaning we can plug in 4x-2 for g(x).</em></u>

<u><em>f(x) * g(x)</em></u>

<u><em>(2x+3) * (4x-2)</em></u>

<u><em>To find the answer, we need to </em></u><u><em>distibute the 2x+3 into 4x-2</em></u><u><em>.</em></u>

<u><em>To distribute, we do </em></u><u><em>:</em></u>

<u><em>2x * (4x-2)   +   3 * (4x-2)</em></u>

<u><em>First we distribute the 2x</em></u>

<u><em>2x * 4x  =  8x^2        and        2x * -2  =  -4x</em></u>

<u><em>8x^2 - 4x</em></u>

<u><em>Next we distibute the 3</em></u>

<u><em>3 * 4x  =  12x        and        3 * -2 = -6</em></u>

<u><em>12x - 6</em></u>

<u><em>Now we can combine them by</em></u><u><em> adding like terms </em></u><u><em>to get the asnwer:</em></u>

<u><em>8x^2 = 8x^2</em></u>

<u><em>-4x + 12x = 8x</em></u>

<u><em>-6 = -6</em></u>

<u><em>The first answer is </em></u><u><em>8x^2 + 8x -6</em></u>

<u><em>Second question:</em></u>

<u><em>Since we already know the values for f(x) and g(x), all we have to do is </em></u><u><em>plug in the values</em></u><u><em>.</em></u>

<u><em>(2x+3) - (4x-2)</em></u>

<u><em>This time, since we are subtracting, all we have to do is </em></u><u><em>subtract like terms</em></u><u><em>.</em></u>

<u><em>2x - 4x = -2x</em></u>

<u><em>3 - (-2) = 5</em></u>

<u><em>The second answer is </em></u><u><em>-2x + 5</em></u>

3 0
2 years ago
What is an equation of the line, in point-slope form, that passes through the given point and has the given slope? Point: (7,3)
Ymorist [56]
I think the answer to your question may be C.)
8 0
3 years ago
Can anyone help me with this math stuff? :p
Mars2501 [29]

Answer:

if the recipe makes 48 cookies and the serving size is 3 then you should actually can just make the regular recipe and have 9 cookies leftover

Step-by-step explanation:

7 0
3 years ago
Susan owns a home that is worth $128,318.74, a 2005 truck worth $10,615.00, and has investments that total $4,459.16. Susan owes
allochka39001 [22]

Answer:

Net worth is defined as:

Assets - Liabilities.

Assets are what you own.

Liabilities are what you have to pay.

So, home + truck + investments are assets.

Likewise, mortgage + student loans + credit cards are liabilities.

Doing the math, Susan's net worth is

Assets - Liabilities

$143,392.90 - $98,077.12 =

$45,315.78

Susan's net worth is $45,315.78

Good luck!

5 0
3 years ago
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