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Lina20 [59]
3 years ago
5

Find (f+g)(x). f(x)=-3x+2 and g(x)=x^3

Mathematics
1 answer:
hodyreva [135]3 years ago
4 0

Answer:

\large\boxed{(f-g)(x)=x^3-3x+2}

Step-by-step explanation:

(f+g)(x)=f(x)+g(x)\\\\\text{We have}\ f(x)=-3x+2\ \text{and}\ g(x)=x^3.\\\\\text{Substitute:}\\\\(f+g)(x)=(-3x+2)+(x^3)=x^3-3x+2

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A line that passes through (-1, 6) and the origin
zmey [24]

Answer: The equation is y = -6*x

Step-by-step explanation:

I suppose that we want to find the equation for a line that passes through the point (-1, 6) and the origin (remember that the origin is the point (0,0))

A general linear equation is written as:

y = a*x + b

Where a is the slope and b is the y-intercept.

If this line passes through the points (x₁, y₁) and (x₂, y₂), then the slope of the line is equal to:

a = (y₂ - y₁)/(x₂ - x₁)

Now we know that our line passes through the points (0, 0) and (-1, 6), then the slope is:

a = (6 - 0)/(-1 - 0) = 6/-1 = -6

Then our equation is something like:

y = -6*x + b

To find the value of b we can use the fact that this line passes through the point (0, 0).

This means that when x = 0, y is also equal to zero.

If we replace these values in the equation we get:

0 = -6*0 + b

0 = b

Then our equation is:

y = -6*x

7 0
3 years ago
Equations with parentheses may require the use of the distributive property to be solve
Mamont248 [21]

If this is a T/F question, then your answer is True .-.

8 0
3 years ago
If you just write whatever just for the points i will report you.
Hoochie [10]

<u>Answer:</u>

Below!

<u>Step-by-step explanation:</u>

<u>The best way to answer this question is to read the statement carefully.</u>

  • => Five less than twice a number = 2x - 5
  • => Five times the sum of two numbers = 5(x + y)
  • => The difference of 5 and a number, squared = (5 - x)²

Hoped this helped.

BrainiacUser1357

5 0
2 years ago
Read 2 more answers
PLS HELP ME WITH THIS ALGEBRA!
artcher [175]

Answer:

  • 120 g

Step-by-step explanation:

A salt solution contains 10% salt and weights 80g.

<u>Salt content of the solution is:</u>

  • 80*0.1 = 8 g

<u>4% solution has 8 g salt, total solution is:</u>

  • 0.04x = 8
  • x = 8/0.04 = 200 g

<u>Water to be added:</u>

  • 200 - 80 = 120 g

6 0
3 years ago
4(5+6) helpppppppp :((((
Anna007 [38]
5+6= 11 times 4 is 44
4 0
3 years ago
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