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3 years ago

Solve the inequality for x: 1/2(2x + 4) = 3x -6

Mathematics

1 answer:

notka56 [123]3 years ago

6 0

The answer for this problem is x=4

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The height of a ball above the ground as a function of time is given by the function h(t)=−32t2+8t+3 where h is the height of th

gavmur [86]

Answer:

0.125 seconds.

Step-by-step explanation:

We have been given that the height of a ball above the ground as a function of time is given by the function $h(t)=-32t^2+8t+3$ , where h is the height of the ball in feet and t is the time in seconds.

We can see that our given equation is a downward opening parabola as its leading coefficient is negative. The maximum point will be vertex of parabola.

To find the time, when the ball would be at its maximum height, we need to find the x-coordinate of vertex.

Using formula $\frac{-b}{2a}$ , we will find the x-coordinate of vertex of parabola as:

$\frac{-b}{2a}$

$\frac{-8}{2*-32}$

$\frac{-8}{-64}$

$\frac{1}{8}$

$0.125$

Therefore, the ball will be at a maximum height after 0.125 seconds.

6 0

3 years ago

The approximate number of bicycles in the United States in the year 2007 was 14,000,000. How can this number be expressed in sci

elena-s [515]

Answer:

$1.4*10^7$

Step-by-step explanation:

we have

$14,000,000$

Remember that

$14,000,000=1.4(10,000,000)$

and

$10,000,000=1*10^7=10^7$

substitute

$14,000,000=1.4*10^7$

8 0

3 years ago

Need help with this im confused

Jet001 [13]

Answer:

$-\frac34 -\frac14 i$

Step-by-step explanation:

Let's start with distributing: $\frac1{4i}-\frac{3i}{4i}$ Simplify i with i in the second term, and rearrange. $-\frac34 +\frac1{4i}$ . Since i in the denominator looks ugly, let's multiply top and bottom by i. $-\frac34 +\frac i{4i^2} = -\frac34 +\frac i{4(-1)} =-\frac34 -\frac14 i$ . The middle passage is based on the fact that, by definition, $i^2=-1$