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djverab [1.8K]
3 years ago
14

Simplify the following expression by combining like terms and factoring. 2(x-6)+4(2x+1)+3

Mathematics
1 answer:
Shkiper50 [21]3 years ago
4 0

Answer:

5(2x - 1)

Step-by-step explanation:

Given

2(x - 6) + 4(2x + 1) + 3 ← distribute both parenthesis

= 2x - 12 + 8x + 4 + 3 ← collect like terms

= (2x + 8x) + (- 12 + 4 + 3)

= 10x + (- 5)

= 10x - 5 ← factor out 5 from each term

= 5(2x - 1) ← in factored form

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Nat2105 [25]
5 - 6 = -1
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Hope this helps!
8 0
3 years ago
PLEASE HELP!!! TRIG, Theres a picture!!
BartSMP [9]

Answer:

<h2>The answer is option C</h2>

Step-by-step explanation:

3(  { \tan }^{2} \theta -    { \sec }^{2}  \theta)

Using trigonometric identities

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1 + { \tan }^{2} \theta  =   { \sec }^{2}  \theta

Rewrite the expression

That's

3({ \tan }^{2} \theta - (1 + { \tan }^{2} \theta)) \\

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We have

3({ \tan }^{2} \theta - 1 - { \tan }^{2} \theta) \\ 3({ \tan }^{2} \theta - { \tan }^{2} \theta - 1)

So we have

3( - 1)

We have the final answer as

<h2>- 3</h2>

Hope this helps you

3 0
3 years ago
Sal's Sandwich Shop sells wraps and sandwiches as part of its lunch specials.
Fofino [41]

Answer:

Sal's Sandwich Shop sells wraps and sandwiches as part of its lunch specials. The profit on every sandwich is $2 and the profit on every wrap is $3. Sal made a profit of $1,470 from lunch specials last month. The equation 2x + 3y = 1,470 represents Sal's profits last month, where x is the number of sandwich lunch specials sold and y is the number of wrap lunch specials sold.

5. Suppose Sal's total profit on lunch specials for the next month is $1,593. The profit amounts are the same: $2 for each sandwich and $3 for each wrap. In a paragraph of at least three complete sentences, explain how the graphs of the functions for the two months are similar and how they are different.

6. Below is a graph that represents the total profits for a third month. Write the equation of the line that represents this graph. Show your work or explain how you determined the equations.

Please help.

Please Help

Oct 24, 2015

Step-by-step explanation:

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7 0
2 years ago
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Allisa [31]

Answer:

Step-by-step explanation:

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7 0
3 years ago
Read 2 more answers
Consider the following figure:
trasher [3.6K]

Answer:

C(cone with a radius of 8 units)

Explanation:

When a triangle is spun around its center, it makes a cone (can't make a cylinder because when spun, it doesn't have 2 circular bases). The radius would be 8 because that is what makes the circular base. The 6 is just the height of the triangle and cone once it is spun, it doesn't have anything to do with the base and its radius.

4 0
3 years ago
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