1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Reil [10]
3 years ago
5

8-6(-3 - 5x) = 56 how do i find what x is?​

Mathematics
1 answer:
gavmur [86]3 years ago
8 0

Answer:

Step-by-step explanation:

Simplifies to:

8+18+30x=56

26+30x=56

30x=30

X=1

You might be interested in
Consider a particle moving along the x-axis where x(t) is the position of the particle at time t, x' (t) is its velocity, and x'
vodka [1.7K]

Answer:

a) v(t) =x'(t) = \frac{dx}{dt} = 3t^2 -12t +9

a(t) = x''(t) = v'(t) =6t-12

b)  0

c) a(t) = x''(t) = v'(t) =6t-12

When the acceleration is 0 we have:

6t-12=0, t =2

And if we replace t=2 in the velocity function we got:

v(t) = 3(2)^2 -12(2) +9=-3

Step-by-step explanation:

For this case we have defined the following function for the position of the particle:

x(t) = t^3 -6t^2 +9t -5 , 0\leq t\leq 10

Part a

From definition we know that the velocity is the first derivate of the position respect to time and the accelerations is the second derivate of the position respect the time so we have this:

v(t) =x'(t) = \frac{dx}{dt} = 3t^2 -12t +9

a(t) = x''(t) = v'(t) =6t-12

Part b

For this case we need to analyze the velocity function and where is increasing. The velocity function is given by:

v(t) = 3t^2 -12t +9

We can factorize this function as v(t)= 3 (t^2- 4t +3)=3(t-3)(t-1)

So from this we can see that we have two values where the function is equal to 0, t=3 and t=1, since our original interval is 0\leq t\leq 10 we need to analyze the following intervals:

0< t

For this case if we select two values let's say 0.25 and 0.5 we see that

v(0.25) =6.1875, v(0.5)=3.75

And we see that for a=0.5 >0.25=b we have that f(b)>f(a) so then the function is decreasing on this case.  

1

We have a minimum at t=2 since at this value w ehave the vertex of the parabola :

v_x =-\frac{b}{2a}= -\frac{-12}{2*3}= -2

And at t=-2 v(2) = -3 that represent the minimum for this function, we see that if we select two values let's say 1.5 and 1.75

v(1.75) =-2.8125< -2.25= v(1.5) so then the function sis decreasing on the interval 1<t<2

2

We see that the function would be increasing.

3

For this interval we will see that for any two points a,b with a>b we have f(a)>f(b) for example let's say a=3 and b =4

f(a=3) =0 , f(b=4) =9 , f(b)>f(a)

The particle is moving to the right then the velocity is positive so then the answer for this case is: 0

Part c

a(t) = x''(t) = v'(t) =6t-12

When the acceleration is 0 we have:

6t-12=0, t =2

And if we replace t=2 in the velocity function we got:

v(t) = 3(2)^2 -12(2) +9=-3

5 0
3 years ago
A sphere has a diameter of 14 units. What is the volume of the sphere in cubic units? If a cylinder has the same radius as the s
lesya692 [45]

Answer:

B

Step-by-step explanation:

r = 14/2 = 7units

Volume of sphere=\frac{4}{3}*\pi*r^{3}\\\\=\frac{4}{3}*3.14*7*7*7\\\\=1436.03cubic units\\\\Volume of cylinder=\pi*r^{2}*h\\\\=3.14*7*7*14\\\\=2154.04 cubic units

7 0
3 years ago
6. Benny earns $12.00 per hour as a lifeguard. He earns a bonus of $75.00
Vesna [10]

Answer:

75+12h ≥ 399

He must work at least 27 hours

Step-by-step explanation:

How much does benny earn

He makes 75 for the course plus 12 dollars an hour

75+ 12h

This must be at least 399

75+12h ≥ 399

Subtract 75 from each side

75-75+12h ≥ 399-75

12h ≥ 324

Divide each side by 12

12h/12 ≥ 324/12

h ≥ 27

He must work at least 27 hour

3 0
3 years ago
Read 2 more answers
Juana compró una camioneta 4x4 a S/ 42 000; además, sabe que la camioneta se depreciará (bajará su precio) en forma lineal duran
prohojiy [21]

Answer:

Una relación lineal es de la forma:

y = a*x + b.

donde a es la pendiente y b es la ordenada al origen.

en este caso, y es el precio de la camioneta, x es el numero de años que pasaron, a es la razon de depreciación de la camioneta y b es el precio inicial de la camioneta, b = $42,000.

Sabemos que después de 5 años, el precio de la camioneta es 21,000, entonces podemos resolver:

$21,000 = a*5 + $42,000

a*5 = $21,000 - $42,000 = -$21,000

a = -$21,000/5 = -$4,200

Esto significa que el precio decae $4,200 por año

4 0
3 years ago
The weather report says there us a 30% change of rain. What is the probability that it does not rain
kotegsom [21]

Answer:

60%/100%

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Other questions:
  • Find the distance if you travel at a rate of 65mph for 7 hours. hint: distance = rate time.
    6·2 answers
  • A graduated cylinder is filled with 36 cm 3 of liquid the liquid is poured into a different cylinder that has a radius of 3cm ,
    5·1 answer
  • 1/2k - 1/4 = 1/3 what is k ?
    6·2 answers
  • 2.If the average American lives about 80 years (or about 30,000 days), how
    8·1 answer
  • can someone please answer the first four for me? Also can someone please explain it to me, because I don't fully understand​
    6·1 answer
  • I NEED THIS ASAP- Point A is located at (-5, -8). Point A is reflected across the X-axis to create point B. What is point B?
    11·1 answer
  • What is the distance between points M(2,6) and N(3,1)
    8·1 answer
  • 18 + 8v = -6 -5(2 - 5v)
    10·1 answer
  • What is 234,991 written in expanded notation?​
    9·2 answers
  • Last year, Mr Salim bought a car for $120 000. This year, he sold it at a discount of 10%. How much did Mr Salim sell his car fo
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!