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posledela
3 years ago
9

A _________ is a minute (very small) area of illumination on a display screen. Fill in the blanks!!! Thanks♡​

Mathematics
1 answer:
Monica [59]3 years ago
5 0

Answer:

A Pixel is a minute area of illumination on a display screen

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What two rational expressions sum to 2x+3/x^2-5x+4
Anni [7]

Answer:

\frac{2x + 3}{(x- 1)(x - 4)} = \frac{-5}{3(x- 1)} + \frac{11}{3(x - 4)}

Step-by-step explanation:

Given the rational expression: \frac{2x + 3}{x^2 - 5x + 4}, to express this in simplified form, we would need to apply the concept of partial fraction.

Step 1: factorise the denominator

x^2 - 5x + 4

x^2 - 4x - x + 4

(x^2 - 4x) - (x + 4)

x(x - 4) - 1(x - 4)

(x- 1)(x - 4)

Thus, we now have: \frac{2x + 3}{(x- 1)(x - 4)}

Step 2: Apply the concept of Partial Fraction

Let,

\frac{2x + 3}{(x- 1)(x - 4)} = \frac{A}{x- 1} + \frac{B}{x - 4}

Multiply both sides by (x - 1)(x - 4)

\frac{2x + 3}{(x- 1)(x - 4)} * (x - 1)(x - 4) = (\frac{A}{x- 1} + \frac{B}{x - 4}) * (x - 1)(x - 4)

2x + 3 = A(x - 4) + B(x - 1)

Step 3:

Substituting x = 4 in 2x + 3 = A(x - 4) + B(x - 1)

2(4) + 3 = A(4 - 4) + B(4 - 1)

8 + 3 = A(0) + B(3)

11 = 3B

\frac{11}{3} = B

B = \frac{11}{3}

Substituting x = 1 in 2x + 3 = A(x - 4) + B(x - 1)

2(1) + 3 = A(1 - 4) + B(1 - 1)

2 + 3 = A(-3) + B(0)

5 = -3A

\frac{5}{-3} = \frac{-3A}{-3}

A = -\frac{5}{3}

Step 4: Plug in the values of A and B into the original equation in step 2

\frac{2x + 3}{(x- 1)(x - 4)} = \frac{A}{x- 1} + \frac{B}{x - 4}

\frac{2x + 3}{(x- 1)(x - 4)} = \frac{-5}{3(x- 1)} + \frac{11}{3(x - 4)}

7 0
3 years ago
a store is having a sale on walnuts and chocolate chips. for 3 pounds of walnuts and 5 pounds of chocolate chips, the total cost
Step2247 [10]

Answer:

  • Walnuts - $1.25, chocolate chips - $3.25

Step-by-step explanation:

Let walnuts = x, chocolate chips = y

<u>Set a system and solve:</u>

  • 3x + 5y = 20
  • 6x + 2y = 14

<u>Double the first equation and subtract the second one from it:</u>

  • 6x + 10y - 6x - 2y = 40 - 14
  • 8y = 26
  • y = 26/8
  • y = 3.25

<u>Find the value of x:</u>

  • 6x + 3.25*2 = 14
  • 6x = 14 - 6.5
  • 6x = 7.5
  • x = 7.5/6
  • x = 1.25
7 0
2 years ago
Rectangle
Viefleur [7K]

Answer:

  21 square units

Step-by-step explanation:

The sides of the rectangle are aligned with the coordinate grid, so we can easily find its dimensions.

AB lies on the line y = -2, so the horizontal extent is the difference in x-values:

  6 - 3 = 3

BC lies on the line x = 6, so the vertical extent is the difference in y-values:

  5 -(-2) = 7

The area is the product of these two dimensions:

  A = LW = (7)(3) = 21 . . . . square units

The area of the rectangle is 21 square units.

3 0
3 years ago
Read 2 more answers
Evaluate the function.<br> f(x) = -2x2 + 7<br> Find f(-5)
Alla [95]
-2(-5)^2 + 7
-2 • 5^2 + 7
-2 • 25 + 7
-50 + 7
-43
6 0
3 years ago
PLEASE ANSWER THIS QUESTION AND EXPLAIN IF YOU CAN
jekas [21]
Factor out -1
-1(x^2+x-6)

Factor the inner trinomial
-1(x+3)(x-2)

Final answer: B
6 0
3 years ago
Read 2 more answers
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