Find the value if f(x) = -3x -8 and g(x) = x2 + 3. f(-3) =​

The velocity of the particle at the first instance it is at the origin (approximately t ≈ 2.944) is approximately 16.885 units per time unit.

To find the velocity of the particle at the first instance it is at the origin, we need to find the value of t when x(t) = 0.

Since the particle is at the origin when x(t) = 0, we have:

[tex]0.5t^4 - 1.5t^3 - 2t^2 + 6t - 1 = 0[/tex]

Using numerical methods or graphing the equation, we find that the roots are approximately t ≈ -0.618, t ≈ 1.532, t ≈ 3.143, and t ≈ 2.944.

Since t > 0, the first instance the particle is at the origin corresponds to t ≈ 2.944 (the smallest positive real root).

Now, to find the velocity of the particle at this instance, we need to find the derivative of the position function x(t) with respect to time t, which gives us the velocity function v(t):

v(t) = dx/dt

[tex]v(t) = d/dt (0.5t^4 - 1.5t^3 - 2t^2 + 6t - 1)\\v(t) = 2t^3 - 4.5t^2 - 4t + 6[/tex]

Now, we can find the velocity at t ≈ 2.944:

[tex]v(t = 2.944) = 2(2.944)^3 - 4.5(2.944)^2 - 4(2.944) + 6[/tex]

v(t ≈ 2.944) ≈ 16.885

So, the velocity of the particle at the first instance it is at the origin (approximately t ≈ 2.944) is approximately 16.885 units per time unit.

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Answer:

Step-by-step explanation:

Answer:..

Step-by-step explanation:..

Answer:

yes

Step-by-step explanation:

[tex]\frac{16}{72}[/tex] ( divide numerator/ denominator by 8, the LCM of 16 and 72 )

= [tex]\frac{2}{9}[/tex]

[tex]\frac{18}{81}[/tex] (divide numerator/ denominator by 9 the LCM of 18 and 81 )

= [tex]\frac{2}{9}[/tex]

Both rational numbers simplify to [tex]\frac{2}{9}[/tex] and are equivalent

Answer:

460 feet

Step-by-step explanation:

Answer:

17+5i

Step-by-step explanation:

add the like terms

double negative equals positive

;)

Answer:

17+i

Step-by-step explanation:

Answer:

It should be BOC

Step-by-step explanation:

this is because a bisector is always a cross or any other shape that cuts something into its exact half (unlike intersect which can cut any shape in any form unlike its exact half )

so, as you can see in the figure, angle BOC is bisecting* AOC at its exact half, angle BOC is the answer.

Also, the measure of BOC (angle) should be 53°

    This is because of the law of indices which says:

[tex]\sqrt[x]{n}[/tex]= [tex]x^{\frac{1}{m} }[/tex]

    So, if we have:

[tex]\sqrt{n}[/tex]

    Then the following will be true because of this math law:

[tex]n^{\frac{1}{2} }[/tex]

Side note: The m value can be greater than n and or less than n, but if it is equal the m and n values cancel out.

Have a nice day!

    I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Answer:

You'd get 25.3333 or you could also express 76/3 as a mixed fraction: 25 1/3.

                         ↑  

                  the arrow pointing shows what the remainder means

remainder is the one which is down

Answer:

answer is 4/5

Answer:

1500

Step-by-step explanation:

1000×6÷4

250×6

1500

Answer:

40%

Step-by-step explanation:

Answer:

1) drinks = $10

2) food = $25

3) total = 7 parts

Step-by-step explanation:

1) 2×5=10

2) 5×5=25

3) 2part+5part=10part

Step-by-step explanation:

the other answer can be a bit confusing.

and the last sentence there is wrong. it should be 2 parts plus 5 parts is 7 parts.

anyway, in questions like this you need to first clarify : how many parts are being used as the whole.

think of it like a cake or a pizza. one friend will eat 2 slices, another will eat 3 slices, and you want only one. then into how many slices do you have to cut the pizza, if there should be no pizza left ?

so, in our case here, the drinks get 2 "slices" of the whole pizza of $35. and food gets 5 "slices". and together they have now the whole pizza.

so the whole pizza was cut into 2+5 = 7 slices.

now we need to spread the whole $35 "pizza" evenly on its 7 slices (or parts).

remember : we use division for that.

35/7 = $5

so, one slice (or part) of the whole $35 is $5.

since drinks get 2 slices (or parts), this is then 5+5 or 5×2 = $10

and food gets 5 slices (or parts). this is then 5+5+5+5+5 or 5×5 = $25

and to verify : $10 + $25 = $35. so, yes, we did not make any mistake. the sum is indeed the total of $35.

Answer:

6/16

Step-by-step explanation:

there are 6 chances for it to be a double success out of a total 16 tries

Answer:

Rate of change problem:

theres 2 ways but it’s a basically the same thing, if you do these questions enough you’d know right away to find the unit rate of gallon of gasoline To price.

So you can divide.

10 gallons, 23 dollars

23 ÷ 10 = $2.30

$2.30 per gallon of gasoline.

Now we multiply by 15 to find how much will 15 gallons will cost.

2.3*15= $34.5

or you can do it proportionally, this is if you would want to show your work more clearly or just started doing these problems.

So we can make x unknown price.

So we know its 10 gallons for 23 dollars

we want to know how much it would be for 15 gallons

So we can do it like gallon/ price = gallon/ price

ex:

10/23 = 15/x

Make sure it’s lined up correctly

Now just cross multiply and solve for this proportion

10x= 345

now solve

x= 34.5

same answer

Answer:

y as well will increase as x value increases bc x is a whole number and y intercept is positive 4

It is found that as the x value increases then the y value will also increase.

An equation represents the equality of two or more mathematical expressions. When someone asks you to solve an equation, then they usually mean to find the values of the unknowns for which that equation would be true (the equality between expressions should hold for those values). Solutions to an equation are those values of the variables involved in that equation for which the equation is true.

We have been given the equation as y = x² + 4

when the value of x is 0 then the value of y will be;

y = x² + 4

y = 0 + 4

y = 4

when the value of x is 1 then the value of y will be;

y = 1² + 4

y = 1 + 4

y = 5

Also when the value of x is 2 then the value of y will be;

y = 2² + 4

y = 4 + 4

y = 8

Thus we can conclude that as the x value increases then the y value will also increase.

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Answer:

10/5 - 4

Step-by-step explanation:

you have to write down what you understand from the sentence.

First, you read it carefully since it says quotient then you will have to put that first and then subtraction. Normally you would put subtraction in front because the sentence is in that order. But since your dealing with division then the subtraction part would go afer.

10/5 - 4

Answer: uhh i think both are correct since the order of operation states that you must do division over subtraction first, it doesn't matter which position 4 is in, but you must do the division first.

Answer:

The trigonometric ratio that I would use to find the distance from the base of the tower to the keys is the tangent; tan (86°) = height / distance.

Step-by-step explanation:

You can draw a right triangle with angle 86°, opposite leg equal to the height (50 meter) and adjacent leg equal to the distance from the base of the tower to the keys: tan (86°) = 50 m / x

=> x = 50 m / tan(86°)

x = 50 m / 14.30 = 0.98 m

Answer:

Step-by-step explanation:

(4.83)² × 6√0.276 / 3.27 =

23.3289 × 6(0.5254) / 3.27 =    (rounded)

22.49 (rounded)

Please find attached photograph for your answer.

Hope it helps.

Do comment if you have any query.

Answer:

well its -2*-3-3 so

-2*-3 is 6-3 is 3

Step-by-step explanation:

Answer:

1

a+1

es posible q hayan doble respuesta

Step-by-step explanation:

Pasos  

a+b/b

Divide b entre b para obtener 1.

da

d

​

(a+1)

La derivada de un polinomio es la suma de las derivadas de sus términos. La derivada de cualquier término constante es 0. La derivada de ax  

n

 es nax  

n−1

.

a  

1−1

Resta 1 de 1.

a  

0

Para cualquier término t excepto 0, t  

0

=1.

1

a+b/b

Divide b entre b para obtener 1.

a+1

Answer: y = -5/2 -17

Step-by-step explanation: First put the equation in point slope form

Y-y1 = m(x-x1)

y + 2 = -5/2(x+6) then simplify to slope int. form

Y= mx + b

Y = -5/2x-17

Answer:

y = (-5/2)x - 17

Step-by-step explanation:

y = mx + b

m = slope

b = y-intercept

y = mx + b

Slope = -5/2

y = (-5/2)x + b        [tex]\longmapsto\\[/tex]         Input x and y values from given point

-2 = (-5/2)-6 + b

-2 = (-5 * -6)/(2) + b

-2 = 30/2 + b

-2 = 15 + b

b = -2 - 15

b = -17

y = mx + b

m = -5/2

b = -17

y = (-5/2)x - 17

-Chetan K

-Chetan K

Answer:

salamat po sa

points.

pa

Step-by-step explanation:

branlest

answer

po

Answer:

352/7  is answer

Step-by-step explanation:

9514 1404 393

Answer:

  a) a=1, b=4, c=-5

  b) opens up; a > 0

  c) minimum = -9, the y-value of the vertex

  d) x = -5, 1

  e) y = -5, the value of c

  f) (-2, -9)

Step-by-step explanation:

A graph drawn by a graphing calculator can answer all of these questions quickly and easily.

__

a) The values of 'a', 'b', and 'c' are the values of the coefficients of the terms in the function definition. They refer to the coefficients in the standard form:

  f(x) = ax^2 +bx +c

  f(x) = x^2 +4x -5 . . . . . . . your equation with a=1, b=4, c=-5

__

b) The parabola opens up. This is because the value of 'a' is greater than zero.

__

c) The minimum is the y-value of the vertex. When the function is written in vertex form it is ...

  f(x) = (x -h)^2 +k . . . . . . . . . . . vertex (h, k)

Your function can be put into this form:

  f(x) = x^2 + 4x +4 -5 -4 . . . . . . add and subtract 4 to complete the square

  f(x) = (x +2)^2 -9 . . . . . . . . vertex form. The vertex is (-2, -9).

The y-value of the vertex is -9, the minimum value of the function.

__

d) Solving f(x) = 0, you get ...

  (x +2)^2 -9 = 0

  (x +2)^2 = 9 . . . . . . . . add 9

  x +2 = ±√9 = ±3 . . . . . take the square root; next, subtract 2

  x = -2 ±3 = {-5, 1} . . . . . the x-intercepts

__

e) The y-intercept is f(0) = c = -5.

__

f) The vertex was found in part (c) to be (-2, -9).

Answer:

.05x+50=55

100 minutes

Step-by-step explanation:

simplify

.05x=5 (subtract 50 on both sides)

5/.05=x

100=x

she can call for 100 minutes

Answer:

P=5x3+17  P=32

Step-by-step explanation: