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Rom4ik [11]
3 years ago
5

Simplify 10(x + 4) + 15(x + 1)

Mathematics
2 answers:
motikmotik3 years ago
8 0

Answer:

25x + 55

Step-by-step explanation:

10(x + 4) + 15(x + 1)

Distribute

10x + 40 + 15x +15

Combine like terms

25x + 55

topjm [15]3 years ago
4 0

Answer:

\huge{ \fbox{ \sf{25x + 55}}}

Step-by-step explanation:

\star{ \sf{ \:  \: 10(x + 4) + 15(x + 1)}}

\text{Step \: 1 \:  : Distribute \: 10 \: through \: the \: parentheses}

\mapsto{ \sf{10x + 40 + 15(x + 1)}}

\text{Step \: 2 \:  : Distribute \: 15 \: through \: the \: parentheses}

\mapsto{ \sf{10x + 40 + 15x + 15}}

\text{Step  \: 3 \:  : Collect \: like \: terms}

\text{Like \: terms \: are \: those \: which \: have \: the \: same \: base}

\mapsto{ \sf{10x + 15x + 40 + 15}}

\mapsto{ \sf{25x + 40 + 15}}

\text{Step \: 4 \:  : Add \: the \: numbers : 40 \: and \: 15}

\mapsto{ \sf{25x  + 55}}

Hope I helped!

Best regards! :D

~\sf{TheAnimeGirl}

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balandron [24]

The domain for which the function is defined is given by:

D. x \geq 4.

<h3>What is the domain of a function?</h3>

The domain of a function is the set that contains all possible input values for the function.

A square root is only defined for non-negative values, hence:

  • x - 4 \geq 0 \rightarrow x \geq 4.
  • x + 1 \geq 0 \rightarrow x \geq -1.

The intersection of these two domains is x \geq 4, hence option D is correct.

More can be learned about the domain of a function at brainly.com/question/10891721

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6 0
2 years ago
Pls help this is really important
oee [108]

Answer:

x = 30 I'm sure hope this helps

7 0
2 years ago
B) A prize is divided between three people
dlinn [17]

Answer:

X : Z = 6 : 5

Step-by-step explanation:

X : Y      =  3 :  1

Double both sides

X : Y      =  6 : 2

     Y : Z=        2 :  5

Combined

X : Y : Z     =  6 : 2 : 5

Therefor

X : Z = 6 : 5

    

3 0
3 years ago
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nlexa [21]
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2 years ago
62,57,52,47,42 recursive formula
levacccp [35]

Answer:

1st sequence:  f(n)=f(n-1)-5 with f(1)=62.

2nd sequence: f(n)=f(n-1)+9 with f(1)=-15.

Step-by-step explanation:

The first sequence, to get the next term you just subtract 5 from the previous term.

The recursive form is f(n)=f(n-1)-5 with f(1)=62.

The sequence, to get the next term you just add 9 to the previous term.

The recursive form is f(n)=f(n-1)+9 with f(1)=-15.

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3 years ago
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