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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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14. Write a linear equation to represent the sequence 3, 7, 11, 15, ….
Amiraneli [1.4K]

Answer:

RECURSIVE: f(n)=f(n-1)+4

EXPLICIT: f(n)=3+4n

6 0
3 years ago
People drive, on average, 14,579 miles per year. About how many mile each week is that? (Note: there are 52 weeks in a year)
Vikki [24]

Answer:278.44

Step-by-step explanation:

Divide the miles per year by months

6 0
3 years ago
Read 2 more answers
13. What is the highest number of degrees that an angle can have?<br> 180<br> 360<br> 90<br> 270
kykrilka [37]

Answer:

360

Step-by-step explanation: A full angle is 360. 90*4=360.

8 0
3 years ago
Tim is investigating the relationship between the number of years since a tree was planted and the height of the tree in feet. H
wolverine [178]

Answer: There is not a good prediction for the height of the tree when it is 100 years old because the prediction given by the trend line produced by the regression calculator probably is not valid that far in the future.

Step-by-step explanation:

Years since tree was planted (x) - - - - height (y)

2 - - - - 17

3 - - - - 25

5 - - - 42

6 - - - - 47

7 - - - 54

9 - - - 69

Using a regression calculator :

The height of tree can be modeled by the equation : ŷ = 7.36X + 3.08

With y being the predicted variable; 7.36 being the slope and 3.08 as the intercept.

X is the independent variable which is used in calculating the value of y.

Predicted height when years since tree was planted(x) = 100

ŷ = 7.36X + 3.08

ŷ = 7.36(100) + 3.08

y = 736 + 3.08

y = 739.08

Forward prediction of 100 years produced by the trendline would probably give an invalid value because the trendline only models a range of 9 years prediction. However, a linear regression equation isn't the best for making prediction that far in into the future.

3 0
3 years ago
What does this number apply to??
topjm [15]

Hey there!

The opposite of the square root of 25 is -5, and this is an <u>integer and a rational number and a real number.</u>

<u></u>

Hope it helps and have a great day!

4 0
3 years ago
Read 2 more answers
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