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3 years ago

If f(x) = 6x2 - 4 and g(x) = 2x + 2, find (f - g)(x).

Mathematics

2 answers:

Hunter-Best [27]3 years ago

8 0

6x^2-2x-6 is the correct answer

Dafna11 [192]3 years ago

7 0

Answer:

6x² - 2x - 6

Step-by-step explanation:

note (f - g)(x) = f(x) - g(x), thus

f(x) - g(x)

= 6x² - 4 - (2x + 2) ← distribute

= 6x² - 4 - 2x - 2 ← collect like terms

= 6x² - 2x - 6

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I don’t really get this one.<br> Thx and have a great day!!

gayaneshka [121]

Answer:

The correct option is C). (9,4)

The coordinates of a point N is (9,4)

Step-by-step explanation:

Theory: If point P(x,y) lies on line segment AB and AP: PB=m:n, then we say P divides line AB internally in ratio of m:n and Point is given by

P= $(\frac{mX2+nX1}{m+n} , \frac{mY2+nY1}{m+n})$

Given that point, M is lying somewhere between point L and point N.

The coordinates of a point L is (-6,14)

The coordinates of a point M is (-3,12)

Also, LM: MN = 1:4

We can write as,

Let,

Point L(-6,14)=(X1, Y1)

Point M(-3,12)=(x,y)

Point N is (X2, Y2)

m=1 and n=4

M(-3,12)= $(\frac{mX2+nX1}{m+n} , \frac{mY2+nY1}{m+n})$

M(-3,12)= $(\frac{1(X2)+4(-6)}{1+4} , \frac{(Y2)+4(14)}{1+4})$

M(-3,12)= $(\frac{(X2)-24}{5} , \frac{1(Y2)+56}{5})$

$(-3)=\frac{(X2)-24}{5}$

(-15)=X2-24

X2=9

$(12)=\frac{(Y2)+56}{5}$

(60)=Y2+56

Y2=4

Thus,

The coordinates of a point N is (9,4)

Result: The correct option is C). (9,4)

3 0

4 years ago

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levacccp [35]

Answer:3/4 inch

Step-by-step explanation:

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3 years ago

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slava [35]

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Step-by-step explanation:

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3 years ago

Read 2 more answers

The side of a square is 2.5 cm. Find its perimeter and area.

Neko [114]

Answer:

Perimeter = 10 cm

Area = 6.25 cm²

Step-by-step explanation:

$\bf \: Given :$

$\sf \: Side \: of \: the \: square = 2.5 \: cm$

$\bf \: To \: find:$

$\rightarrow \sf \: Perimeter$

$\sf\rightarrow Area$

$\bf \: Solution :$

$\rm \: First \: w e \: need \: to \: find \: out \: the \: perimeter \: o f \: it.$

So to find the Perimeter of the square, we'll use this formula :

$\boxed{ \sf\longrightarrow \: Perimeter = 4 \times side}$

$\bf \: Step \: 1 : \rm \: Put \: the \: value \: of \: side \: of \: the \: square :$

$\sf\longrightarrow \: Perimeter = (4 \times 2.5)cm$

$\bf \: Step\;2 : \rm Multiply :$

$\sf\longrightarrow \: Perimeter = 10 \: cm$

Hence, the perimeter would be 10 cm .

$\rule{225pt}{2pt}$

$\sf \: Now,\; let's\; find \: the \: Area .$

We know that the formula of Area to find the square is,

$\boxed{ \sf \longrightarrow \: Area = (side) {}^{2} }$

Note : The answer would always be in cm².

$\bf Step\; 1 :\rm Put\; the\; value \; of\; side \; of \; the\; square :$

$\sf\longrightarrow{Area} = (2.5) {}^{2} \: cm {}^{2}$

$\sf\longrightarrow{Area} = (2.5 × 2.5 ) \: cm {}^{2}$

$\bf \: Step\;2 : \rm Multiply :$

$\longrightarrow\sf \: Area = 6.25 \: cm {}^{2}$

Hence, the area of the square would be 6.25 cm².

$\rule{225pt}{2pt}$

I hope this helps!

Let me know if you have any questions.

3 0

3 years ago

What is the explicit rule for the sequence 11 22 44 88

sertanlavr [38]

Answer: an = 11(2)^n-1

7 0

3 years ago