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bonufazy [111]
2 years ago
7

20 plus -14 explain how you know

Mathematics
2 answers:
melamori03 [73]2 years ago
8 0
It’s 6 i do this in class
Karo-lina-s [1.5K]2 years ago
4 0

Answer:

6

Step-by-step explanation:

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I need help with this
N76 [4]

Answer:

The x-intercepts are x = 1 , x = 2 , x = 3

The y-intercept is -6

Step-by-step explanation:

* Lets explain how to solve the problem

- To find the x-intercept of a function substitute f(x) by 0

- To find the y-intercept of a function substitute x by 0

- To find the factors of quadratic function use the long division

* Lets solve the problem

∵ f(x) = x³ - 6x² + 11x - 6

∵ (x - 3) is one of its factors

- Use the long division to find the other factors

∵ x³ - 6x² + 11x - 6 ⇒ dividend

∵ x - 3 ⇒ divisor

# Divide the 1st term in the dividend by the 1st term of the divisor

∵ x³ ÷ x = x²

# Multiply x² by the divisor (x - 3)

∵ x²(x - 3) = x³ - 3x²

# subtract it from the dividend

∵ (x³ - 6x² + 11x - 6) - (x³ - 3x²) = (x³ - x³) + (-6x² + 3x²) +11x - 6

∴ The dividend is -3x² + 11x - 6

# Divide the 1st term in the dividend by the 1st term of the divisor

∵ -3x² ÷ x = -3x

# Multiply -3x by the divisor (x - 3)

∴ -3x(x - 3) = -3x² + 9x

# subtract it from the dividend

∵ (-3x² + 11x - 6) - (-3x² + 9x) = (-3x² - 3x²) + (11x - 9x) - 6

∴ The dividend is 2x - 6

# Divide the 1st term in the dividend by the 1st term of the divisor

∵ 2x ÷ x = 2

# Multiply 2 by the divisor (x - 3)

∴ 2(x - 3) = 2x - 6

# subtract it from the dividend

∴ (2x - 6) - (2x - 6) = (2x - 2x) + (-6 + 6) = 0

∴ (x³ - 6x² + 11x - 6) ÷ (x - 3) = x² - 3x + 2

∴ The factors of f(x) are (x - 3)( x² - 3x + 2)

- The factor (x² - 3x + 2) can factorize into two bracket

∵ The last term is positive and the middle term is negative than the

   two brackets have the middle sign (-)

∵ x × x = x² ⇒ 1st terms in the two brackets

∵ 2 × 1 = 2 ⇒ 2nd terms in the two brackets

∵ 2 × x = 2x

∵ 1 × x = x

∵ 2x + x = 3x

∴  (x² - 3x + 2) = (x - 2)(x - 1)

∴ f(x) = (x - 3)(x - 2)(x - 1)

- To find the x-intercept put f(x) = 0

∴ (x - 3)(x - 2)(x - 1) = 0

- That means each bracket = 0

∵ x - 3 = 0 ⇒ add 3 for both sides

∴ x = 3

∵ x - 2 = 0 ⇒ add 2 for both sides

∴ x = 2

∵ x - 1 = 0 ⇒ add 1 for both sides

∴ x = 1

∴ The x-intercepts are x = 1 , x = 2 , x = 3

- To find the y-intercept put x = 0

∵ f(x) = x³ - 6x² + 11x - 6

∵ x = 0

∴ f(0) = 0 - 0 + 0 - 6 = -6

∴ The y-intercept is -6

4 0
2 years ago
What is 14/52 as a decimal
Kisachek [45]

Answer:

0.2692307692

Step-by-step explanation:

14/52 = 0.2692307692

7 0
3 years ago
I need to simplify this complex fraction
vovangra [49]

I see two ways to do it.

First, you have to understand that when you see a 'complex fraction' like this, the top number is a numerator, and the two bottom numbers are both denominators.

Way-1:

Take the top fraction . . . 2/2 .  That's equal to 1 . So the whole thing is <em>1/3</em>.

Way-2:

Multiply the bottom two denominators.  Then the whole thing is 2/(2·3) .  That's the same thing as  2/6 .  Simplify that, and you have <em>1/3</em> .

7 0
3 years ago
A square on a coordinate plane is translated 9 units down and 1 unit to the right. Which function rule describes the translation
Sauron [17]

Answer:

x+1, y-9

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
A density curve for all the possible ages between 0 years and 50 years is in the shape of a triangle. What is the height of the
Alex_Xolod [135]

Answer:

0.04

Step-by-step explanation:

For a density curve, total area = 1

Probability lies in between 0 and 1

The Area of triangle :

Area = 1/2 base * height

Base = 0 - 50 = 50

Area = 1

Hence,

1 = 1/2 * 50 * h

1 = 50h / 2

2 = 50h

h = 2 / 50

h = 0.04

5 0
2 years ago
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