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3 years ago

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Given f(x)=x^2-2x find f(6)

2 answers:

-BARSIC- [3]3 years ago

7 0

Step-by-step explanation:

In the picture, I hope that it's a clear solution.

Anna71 [15]3 years ago

4 0

Answer:

f(6) = 24

Step-by-step explanation:

To evaluate f(6) substitute x = 6 into f(x)

f(6) = 6² - 2(6) = 36 - 12 = 24

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Read 2 more answers

Helppp i need help on question 1) b and d<br>2) d and e

salantis [7]

<h2><u>Question</u><u>:</u><u>-</u></h2>

1. b) Factorise ➾ y² - 20y + 100

1. d) Factorise ➾ 48 - 13p - p²

2. d) Factorise ➾ 18y² - y - 4

2. e) Factorise ➾ 4m² - 27m + 18

<h2><u>Solutions</u><u>:</u><u>-</u></h2>

<h2><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u></h2>

1. b) y² - 20y + 100

⇝ y² - 10y - 10y + 100 ( Splitting middle term )

⇝ y ( y - 10 ) - 10 ( y - 10 )

⇝ ( y - 10 )(y - 10 ) <u>Ans</u><u>.</u>

<h2><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u></h2>

1. d) -p² - 13p + 48

⇝ -p² - 16p + 3p + 48 ( Splitting middle term )

⇝ -p ( p + 16 ) + 3 ( p + 16 )

⇝ ( p + 16 )(3 - p ) <u>Ans</u><u>.</u>

<h2><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u></h2>

2.d) 18y² - y - 4

⇝ 18y² - 9y + 8y - 4 ( Splitting middle term )

⇝ 9y ( 2y - 1 ) + 4 ( 2y - 1 )

⇝ ( 2y - 1 )( 9y + 4 ) <u>Ans</u><u>.</u>

<h2><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u></h2>

2.e) 4m² - 27m + 18

⇝ 4m² - 24m - 3m + 18 ( Splitting middle term)

⇝ 4m ( m - 6 ) - 3 ( m - 6 )

⇝ ( m - 6 )( 4m - 3 ) <u>Ans</u><u>.</u>

<h2><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u></h2>

<h2><em><u>HOPE</u></em><em><u> </u></em><em><u> </u></em><em><u>IT</u></em><em><u> </u></em><em><u> </u></em><em><u>CAN</u></em><em><u> </u></em><em><u> </u></em><em><u>HELP</u></em><em><u> </u></em><em><u> </u></em><em><u>U</u></em><em><u> </u></em><em><u> </u></em><em><u>:</u></em><em><u> </u></em><em><u>)</u></em><em><u> </u></em></h2>

8 0

3 years ago

If the measure of angle A is 27 degrees, what is the measure of angle 'B'?

STatiana [176]

Answer:

guess 54.............

7 0

3 years ago

You are building a house and are making a drawing of the kitchen. the sink is 3 feet away from the dishwasher, and the sink is 8

Natasha_Volkova [10]

Consider the triangle with vertices S (sink), D (dishwasher) and F (fridge). From the conditions data SD=3, SF=8 and ∠S=48°.

Use the cosine theorem to find unknown distance:

$FD^2=SD^2+SF^2-2SD\cdot SF\cdot \cos S$ ,

$FD^2=3^2+8^2-2\cdot 3\cdot 8\cdot \cos 48^{\circ},\\ FD^2=9+64-48\cdot 0.67,\\ FD^2=40.84, \\ FD=\sqrt{40.84}, \\ FD=6.39$ feet.

Then the distance between dishwasher and fridge is 6.39 feet.

Are these dimensions reasonable is up to kitchen owner))

7 0

4 years ago