What is the solution set to the equation 4(x+3)(x-2)=0

1 answer:

4 0

To simplify, let’s distribute the 4 through the first binomial:

4(x+3)=4x+12

We now have the equivalent equation:

(4x+12)(x-2)=0

We can apply the zero product property which states that if a•b=0, then a=0 or b=0:

4x+12=0

Solve for x:

4x=-12

x=-12/4

x=-3

(x-2) may also equal zero, so let’s find x that would equate to zero:

x-2=0

Solve for x:

x=2

Therefore the solution is: x = -3, 2

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Write the inverse of the equation in f '(x) notation X + 5y = 15

Sindrei [870]

Answer:

Step-by-step explanation:

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2 years ago

A second particle, Q, also moves along the x-axis so that its velocity for 0 £ £t 4 is given by Q t cos 0.063 ( ) t 2 v t( ) = 4

Vladimir79 [104]

Answer:

The time interval when $V_Q(t) \geq 60$ is at $1.866 \leq t \leq 3.519$

The distance is 106.109 m

Step-by-step explanation:

The velocity of the second particle Q moving along the x-axis is :

$V_{Q}(t)=45\sqrt{t} cos(0.063 \ t^2)$

So ; the objective here is to find the time interval and the distance traveled by particle Q during the time interval.

We are also to that :

$V_Q(t) \geq 60$ between $0 \leq t \leq 4$

The schematic free body graphical representation of the above illustration was attached in the file below and the point when $V_Q(t) \geq 60$ is at 4 is obtained in the parabolic curve.

So, $V_Q(t) \geq 60$ is at $1.866 \leq t \leq 3.519$

Taking the integral of the time interval in order to determine the distance; we have:

distance = $\int\limits^{3.519}_{1.866} {V_Q(t)} \, dt$

= $\int\limits^{3.519}_{1.866} {45\sqrt{t} cos(0.063 \ t^2)} \, dt$

= By using the Scientific calculator notation;

distance = 106.109 m

4 0

2 years ago

? divided by 2/3= 3/8

NeX [460]

When you divide by a fraction all you have to is multiply by the reciprocal. The reciprocal of 3/8 is 8/3.
The real problem is 2/3 TIMES 8/3. Multiply the numerators across 2 X 8 = 16. Then multiply the denominators across 3 X 3 = 9. The answer is 16/9. If you need to simplify then the answer is 1 7/9.

3 0

2 years ago

Read 2 more answers

PLEASE HELP!!!!!!!!!!!!!!!!!!!!!!!

marishachu [46]

Answer:

32m^2

Step-by-step explanation:

32m^2

8*4 = 32

Have a nice day! :-)

6 0