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Nataliya [291]
3 years ago
11

HELP....my last photo didn't work does this one?

Mathematics
1 answer:
svlad2 [7]3 years ago
6 0
Yes
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Use the factors of the function and the y-intercept to find the standard form of the equation representing Jared’s function. Typ
Georgia [21]

The y-intercept of a function is the point where the graph crosses the \mathbf{y = x^3 + 2x^2 - 193x - 270 }

  • The factors of the Jared's graph are: (x - 10), (x + 3) and (x + 9)
  • The y-intercept is -13.5
  • The standard equation of the function is: \mathbf{y = x^3 + 2x^2 - 193x - 270 }

<u>(a) The factors</u>

First, we write out the points where the function cross the x-axis.

The points are:

\mathbf{x = 10}

\mathbf{x = -3}

\mathbf{x = -9}

Equate the above points to 0

\mathbf{x -10 = 0}

\mathbf{x +3 = 0}

\mathbf{x +9 = 0}

Hence, the factors are: (x - 10), (x + 3) and (x + 9)

<u>(b) The y-intercept</u>

This is the point where the graph crosses the y-axis.

From the attached graph, the graph crosses the y-axis at -13.5.

Hence, the y-intercept is -13.5

<u>(c) The standard form</u>

In (a), we have:

\mathbf{x -10 = 0}

\mathbf{x +3 = 0}

\mathbf{x +9 = 0}

Multiply the above equations

\mathbf{(x - 10) \times (x + 3) \times (x + 9) = 0 \times 0 \times 0}

\mathbf{(x - 10) \times (x + 3) \times (x + 9) = 0 }

Expand

\mathbf{(x - 10) \times (x^2 + 3x + 9x + 27) = 0 }

\mathbf{(x - 10) \times (x^2 + 12x + 27) = 0 }

Expand

\mathbf{x^3 + 12x^2 + 27x - 10x^2 - 220x - 270 = 0 }

Collect like terms

\mathbf{x^3 + 12x^2 - 10x^2+ 27x  - 220x - 270 = 0 }

\mathbf{x^3 + 2x^2 - 193x - 270 = 0 }

Replace 0 with y

\mathbf{y = x^3 + 2x^2 - 193x - 270 }

Hence, the standard form is: \mathbf{y = x^3 + 2x^2 - 193x - 270 }

Read more about graphs and functions at:

brainly.com/question/18806107

3 0
2 years ago
Evaluate/simplify this problem (3 - 3i)(-6 + 3i)
mezya [45]
Multiply using the foil method, then combine. This will give you -9+27i
6 0
3 years ago
Read 2 more answers
Me. Sanchez bought some books at a book sale, including 15 paperback books. 75% of all the books he bought were paperbacks
swat32

Answer:

                   

Step-by-step explanation:

                                   

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3 years ago
The hole for a support post needs to be 6 feet deep. It is currently 1 foot 8 inches deep. How much deeper must the hole be? Jus
Paul [167]

Answer:

think it's about 5 feet and 4 inches more.

8 0
2 years ago
Correct answers only please!
Oliga [24]

Answer:

$125.97

Step-by-step explanation:

To answer this question, simply plug the known values into the equation. We know that 100 is the principal (starting amount), 0.08 is the interest rate as a decimal, and t is 3 years.

Now plug in all those values to the given formula: B = p(1 + r)^t

Solve, and you end up with $125.9712, rounded to $125.97

6 0
3 years ago
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