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GREYUIT [131]
3 years ago
14

If f(x) = x2 – 2x, find: f(-3) = [?]

Mathematics
1 answer:
allsm [11]3 years ago
5 0

Answer:

\boxed{\sf f(-3) = 9}

Given:

\sf f(x) =  {x}^{2}  - 2x

To Find:

Value of f(x) when x = -3

Step-by-step explanation:

\sf \implies f(x) =  {x}^{2}  - 2x \\  \\  \sf \implies f( - 3) =  {( - 3)}^{2}  - 2 ( - 3) \\  \\  \sf \:  \:  \:  \:  \:  \:   \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  = 3 - ( - 6) \\  \\  \sf \:  \:  \:  \:  \:  \:   \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  =3 + 6 \\  \\  \sf \:  \:  \:  \:  \:  \:   \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  =9

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Write the first 4 terms of the sequence defined by the given rule f(n)=n2 -1
Softa [21]

Answer:

<h2>0, 3, 8, 15</h2>

Step-by-step explanation:

Substitute n = 1, n = 2, n = 3 and n = 4 to the equation f(n) = n² - 1:

f(1) = 1² - 1 = 1 - 1 = 0

f(2) = 2² - 1 = 4 - 1 = 3

f(3) = 3² - 1 = 9 - 1 = 8

f(4) = 4² - 1 = 16 - 1 = 15

5 0
3 years ago
At a cake sale, David bought 3 cakes and paid $10.50. At the same price, Lisa bought 4 cakes and 8 cookies and paid $14.80. What
Olin [163]

Price of a Cake

10.5/3= 3.5

1 Cake = $3 and 5 cents, 3.5

Price of a cookie

3.5*4=14

14 out of 14.80 was the cost of 4 cakes

Which leaves us with 0.8

8/0.8= 0.1

The Price of 1 cookie is 0.1

1 Cake: 3.5

1 Cookie: 0.1

7 0
3 years ago
Find the radius of a circle in which the central angle of (pie /4 ) radian determines a sector with an area of 86m^2
LenKa [72]
Area of sector  = 1/2 * r^2 * x   where r = radius and x = angle in radians

86 = 1/2 * r^2 * pi/4

r^2 = 2 * 86 * 4  / pi  =  219

r =  sqrt 219

= 14.80
6 0
3 years ago
Suppose that 16-ounce bags of chocolate chip cookies are produced with weights that follow a Normal distribution with mean weigh
tatyana61 [14]
I think the answer is C but I’m not sure
6 0
2 years ago
Please help... I really need this.
valentinak56 [21]

Answer:

\frac{4x^3-3x^2+5x+6}{x+6}=4x^2-27x+167-\frac{996}{x+6}

Step-by-step explanation:

The division problem given to us is (4x^3-3x^2+5x+6)\div (x+6).

To perform the synthetic division, we write out the coefficient of the polynomial. We set the linear factor to zero and solve for x, this becomes our divisor. That is x+6=0\implies x=-6.

We carry out the synthetic division as shown in the attachment.

The result of the synthetic division is 4   -27   167   -996

The first three terms are the coefficients of the quotient and the last term is the remainder.

Therefore the quotient is q(x)=4x^2-27x+167 and the remainder is r(x)=-996.

The dividend, the quotient and the divisor are written as

\frac{4x^3-3x^2+5x+6}{x+6}=4x^2-27x+167-\frac{996}{x+6}

The correct answer is A

3 0
3 years ago
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