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rosijanka [135]
4 years ago
13

5. f(x) = 3x³ - 4x² +6x and g(x)=5x ³+ 2x²- 3x. What is f(x) - g(x)?

Mathematics
1 answer:
sasho [114]4 years ago
8 0

Answer:

<h2>A. -2x³ - 6x² + 9x</h2>

Step-by-step explanation:

f(x)=3x^3-4x^2+6x\\\\g(x)=5x^3+2x^2-3x\\\\f(x)-g(x)=(3x^3-4x^2+6x)-(5x^3+2x^2-3x)\\\\=3x^3-4x^2+6x-5x^3-2x^2-(-3x)\qquad\text{combine like terms}\\\\=(3x^3-5x^3)+(-4x^2-2x^2)+(6x+3x)\\\\=-2x^3-6x^2+9x

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In a school with only sixth and seventh-grade students, 2/5 of the 200 students are seventh graders
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To find how many sixth graders there are we need to find out how many students there are in 1/5 in the school. Divide 200 by 2 to find 1/5 of the school.
Since 3/5 of the school is 6th graders we multiply 100 by 3 to find that there are 300 students in the 6th grade.
7 0
3 years ago
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Someone please help​
dedylja [7]

Answer:

1. y = -2x + 5

2.  y = 3/5x + 5

3. y = -4/5x - 4

4. y = - 1

5. yes

6. yes

7. yes

8. no

Step-by-step explanation:

1.   (4,-3) parallel to y= -2x

     -3 = -2(4)+b

     b=5

2. (-5,2) parallel to y = 3/5x

    2= 3/5(-5)+b

     b=5

3. (-5,0) -4/5x

   0 = -4/5(-5)+b

    b = -4

4. (-4,-1)

    y= -1

5. yes

6. yes

7. yes

8. no

  • Same slope = parallel ex. y = -5x +7, y = -5x +12
  • opposite reciprocal  = perpendicular ex. y = -5x +7, y = 1/5x + 12
  • to find "b" with slope and point

          (x,y)  y = mx + b

          plug in the y value and x value in the eqaution and m=slope, solve for b

7 0
3 years ago
1) Where is the midpoint of , when A (6, 7) and B (-9, -5)?
lord [1]

Answer:

(−1.5,1)

Step-by-step explanation:

Finding the distance, midpoint, slope, equation and the x y-intercepts of a line passing between the two points p1 (6,7) and p2 (-9,-5)

The distance (d) between two points (x1,y1) and (x2,y2) is given by the formula

d = √  ((X2-X1)2+(Y2-Y1)2)

d = √ (-9-6)2+(-5-7)2

d = √ ((-15)2+(-12)2)

d = √ (225+144)

d = √ 369

The distance between the points is 19.2093727122985

The midpoint of two points is given by the formula

Midpoint= ((X1+X2)/2,(Y1+Y2)/2)

Find the x value of the midpoint

Xm=(X1+X2)/2

Xm=(6+-9)/2=-1.5

Find the Y value of the midpoint

Ym=(Y1+Y2)/2

Ym=(7+-5)/2=1

The midpoint is: (-1.5,1)

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Answer:

Concept: Algebraic Function

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Step-by-step explanation:

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