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Sholpan [36]
1 year ago
10

1. f(x)= (x+4)(x-6) 2. f(x)= (2x-4)(x-3)

Mathematics
1 answer:
devlian [24]1 year ago
6 0

The intercepts and the standard form of each polynomial are listed below:

  1. x-Intercept: x = - 4 or x = 6, Standard form: f(x) = x² - 2 · x - 24, y-Intercept: f(0) = - 24
  2. x-Intercept: x = 1 / 4 or x = 3, Standard form: f(x) = 2 · x² - 10 · x + 12, y-Intercept: f(0) = 12
<h3>How to find the intercepts and the standard form of quadratic equations</h3>

In this case we need to find the intercepts of each quadratic equation and transform each quadratic equation into standard form. The x-intercept correspond with each of the roots of the polynomial and the y-intercept is found by evaluating the expression at x = 0.

Now we proceed to find each element:

Case 1

x-Intercept

x = - 4 or x = 6

Standard form

f(x) = (x + 4) · (x - 6)

f(x) = x² - 2 · x - 24

y-Intercept

f(0) = - 24

Case 2

x-Intercept

x = 1 / 4 or x = 3

Standard form

f(x) = (2 · x - 4) · (x - 3)

f(x) = 2 · (x - 2) · (x - 3)

f(x) = 2 · (x² - 5 · x + 6)

f(x) = 2 · x² - 10 · x + 12

y-Intercept

f(0) = 12

To learn more on quadratic equations: brainly.com/question/1863222

#SPJ1

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Step-by-step explanation:

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3 0
3 years ago
Help me.A towns population went from 25,800 people to 48,200 people in ten years. What is the percent
solong [7]

The percent increase in population is: 87%

Further explanation:

The percent change is given by:

Percent\ increase=\frac{Increase}{Original\ number}*100

Given

Population before 10 years = 25800 people

Population after 10 years= 48200 people

Increase=48200-25800=22400\ people

Putting the values in the formula:

Percent\ Increase=\frac{22400}{25800}*100\\=0.8682*100\\=86.82\%\\Rounding\ off\ to\ nearest\ percent\\87\%

The percent increase in population is: 87%

Keywords: Percentage, Population

Learn more about percentage at:

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#LearnwithBrainly

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2 years ago
Which object has a mass of approximately 450 grams?
rewona [7]
I would say that the tree is 450 grams
4 0
3 years ago
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Answer: DE, EW WD

Step-by-step explanation:

It looks shortest to longest...i think its the best answer. good luck :>

6 0
2 years ago
Hernando's salary was $54,500 last year. This year his salary was cut to $52,355. Find the percent decrease. Round to the neares
Otrada [13]

Answer:

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