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3 years ago

Given f(x) = -x – 2, find f (3).

Mathematics

2 answers:

damaskus [11]3 years ago

6 0

To solve this, plug 3 into x. The equation will be f(3)=-3-2. This simplifies to -5.

Bogdan [553]3 years ago

5 0

Answer:

Step-by-step explanation:

Put x = 3 to f(x) = -x - 2:

f(3) = -3 - 2 = -5

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8.546 rounded to the nearest ten

mrs_skeptik [129]

If you are rounding to the nearest tenth it would be 8.5.

You can’t round to the nearest ten with 8.546

3 0

3 years ago

Determine the equation of the line that passes through the points (-1 , 10) and (2,4)

docker41 [41]

Given:

The two points are (-1,10) and (2,4).

To find:

The equation of line which passes though the given points.

Solution:

If a line passes through two points, then the equation of line is

$y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)$

The line passes through (-1,10) and (2,4). So, the equation of line is

$y-10=\dfrac{4-10}{2-(-1)}(x-(-1))$

$y-10=\dfrac{-6}{2+1}(x+1)$

$y-10=\dfrac{-6}{3}(x+1)$

$y-10=-2(x+1)$

Using distributive property, we get

$y-10=-2x-2$

Adding 10 both sides, we get

$y=-2x-2+10$

$y=-2x+8$

Therefore, the required equation of line is $y=-2x+8$ .

5 0

3 years ago

If 5 plus 10 equals 21 then minus 1 equivalent to 3 = what?

Bogdan [553]

Is this a joke? I think it’s 6

3 0

3 years ago

Read 2 more answers

An airliner carries 350 passengers and has doors with ah height of 72 in. Heights of men are normally distributed with a mean of

BaLLatris [955]

Answer:

P ( Z < 72 ) = 0.8577 or P ( Z < 72 ) = 85.77 %

Step-by-step explanation:

We know:

-A normal distribution

-Mean μ = 69.0 in

-Standard deviation σ = 2.8 in

- Population n = 350

And doors height 72 in

If passengers will pass through the door without bending that means he must be under 72 in tall, therefore we are looking for the probability of men under 72 in, to find such probability we compute the value of Z according to

Z = ( X - μ ) / σ ⇒ Z = ( 72 - 69 ) / 2.8

Z = 1.07

Now with this value we look the Z tables, to find a value of: 0.8577

So the probability of select a men and that he can fit through the door is

P ( Z < 72 ) = 0.8577 or P ( Z < 72 ) = 85.77 %

3 0

4 years ago

Find parametric equations for the tangent line to the curve with the given parametric equations at the specified point. Illustra

Rainbow [258]

Answer:

$x = t$

$y = 1 - t$

$z = 2t$

Step-by-step explanation:

Given

$x=t$

$y=e^{-t}$

$z=2t-t^2$

(0, 1, 0)

The vector equation is given as:

$r(t) = (x,y,z)$

Substitute values for x, y and z

$r(t) = (t,\ e^{-t},\ 2t - t^2)$

Differentiate:

$r'(t) = (1,\ -e^{-t},\ 2 - 2t)$

The parametric value that corresponds to (0, 1, 0) is:

$t = 0$

Substitute 0 for t in r'(t)

$r'(t) = (1,\ -e^{-t},\ 2 - 2t)$

$r'(0) = (1,\ -e^{-0},\ 2 - 2*0)$

$r'(0) = (1,\ -1,\ 2 - 0)$

$r'(0) = (1,\ -1,\ 2)$

The tangent line passes through (0, 1, 0) and the tangent line is parallel to r'(0)

It should be noted that:

The equation of a line through position vector a and parallel to vector v is given as:

$r(t) = a + tv$

Such that:

$a = (0,1,0)$ and $v = r'(0) = (1,-1,2)$

The equation becomes:

$r(t) = (0,1,0) + t(1,-1,2)$

$r(t) = (0,1,0) + (t,-t,2t)$

$r(t) = (0+t,1-t,0+2t)$

$r(t) = (t,1-t,2t)$

By comparison:

$r(t) = (x,y,z)$ and $r(t) = (t,1-t,2t)$

The parametric equations for the tangent line are:

$x = t$

$y = 1 - t$

$z = 2t$

7 0

3 years ago