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Stella [2.4K]
3 years ago
14

1.The area of the KM 89 Farm in San Vicente is (x²+7x +12) sq meters. If its width is (x + 3) meters, what is the length of the

farm?
2. A box has a volume of (x³ + 12x²+ 47x + 60) cu. cm. If it is (x + 3) cm high, what is the product its width and length?

3. The base of a parallelogram is(f-2) cm. If its area is (f³-8) cm², find an expression for the height of the parallelogram.4. Any wants to paint the wall of his room for renovation. If the area of the wall is (3x³- 4x² + 2x + 4) m² and a paint can cover (x²- 2x + 2) m², how many cans of paint will he use to paint the whole wall?

5. A rectangular garden in a backyard has an area of (x² + 5x - 6) square meters. Its width is (x + 2) meters. What is the length of the garden?

I need the solution with the answer thank youuu
Mathematics
1 answer:
OLga [1]3 years ago
4 0

Step-by-step explanation:

1. A = lw

  • l = A/w
  • l = (x²+7x +12) / (x + 3) =
  • (x + 4)(x + 3)/(x + 3) =
  • x + 4 m

2. V = lwh

  • lw = V/h
  • lw = (x³ + 12x²+ 47x + 60) / (x + 3) =
  • (x³+ 3x² + 9x² + 27x + 20 x + 60) /(x + 3) =
  • (x + 3)(x² + 9x + 20) / (x + 3) =
  • x² + 9x + 20 cm²

3. A = bh

  • h = A/b
  • h = (f³-8) / (f-2) =
  • (f - 2)(f² + 2f + 4)/(f-2) =
  • f² + 2f + 4 cm

4. A = p*c

  • c = A/p
  • c =  (3x³- 4x² + 2x + 4) / (x²- 2x + 2) =
  • (3x³ - 6x² + 6x + 2x² - 4x + 4) /(x² - 2x + 2) =
  • (x² - 2x + 2) (3x + 2) / (x² - 2x + 2) =
  • 3x + 2 cans

5. A = lw

  • l = A/w
  • l = (x² + 5x - 6)/(x + 2) =
  • (x - 1)(x + 6)/(x + 2) m

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Could -2 be used to rewrite 32
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Step-by-step explanation:

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storchak [24]

The inequalities are matched with their correct graph respectively as follows:

  1. D ⇒ {(x, y): y > x²}.
  2. G ⇒ {(x, y): y ≥ x²+ 3
  3. C ⇒ {(x, y): y ≤ 3x² + 2}
  4. A ⇒ {(x, y): y ≥ 2x² - 5x + 1}
  5. J ⇒ x²- 3x ≥ 0
  6. H ⇒ x² - 3x + 2 ≤ 0
  7. B ⇒ {(x, y): y ≤ 1 - x²}
  8. B ⇒ {(x, y): y ≥ -1}

<h3>What is a graph?</h3>

A graph can be defined as a type of chart that's commonly used to graphically represent data on both the horizontal and vertical lines of a cartesian coordinate, which are the x-axis and y-axis.

<h3>What is an inequality?</h3>

An inequality can be defined as a mathematical relation that compares two (2) or more integers and variables in an equation based on any of the following arguments:

  • Less than (<).
  • Greater than (>).
  • Less than or equal to (≤).
  • Greater than or equal to (≥).

In Geometry, if the leading coefficient of a quadratic equation is greater than (>) zero, the parabolic curve would open upward while the parabolic curve would open downward when the leading coefficient of a quadratic equation is less than (<) zero.

Read more on graph of inequalities here: brainly.com/question/24372553

#SPJ1

Complete Question:

Match the questions with the graphs that are labeled A-H. (keep in mind that some questions might have the same answer)

1. A = {(x, y): y > x^2}

2. B = {(x, y): y ≥ x^2+ 3}

3. C = {(x, y): y ≤ 3x^2 + 2}

4. D = {(x, y): y ≥ 2x^2- 5x + 1}

6. x^2- 3x ≥ 0

7. x^2- 3x + 2 ≤ 0

8. {(x, y): y ≤ 1 - x^2}

9. {(x, y): y ≥ -1}

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