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3 years ago

Anyone know how to solve this step by step?

Mathematics

1 answer:

ira [324]3 years ago

3 0

Answer:

-1/2 or x=2

Step-by-step explanation: The first step you need to do in getting your answer is factoring ,you will factor the left side of the equation first:

(2x+1)(x-2)=0

Next, you will set the factors to equal to "0":

2x+1=0 x-2=0

Then you'll proceed to solve the problem using the basic algebraic equation problem solving steps .When you do this you'll be left with answers of x=-1/2 and x=2

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A rocket is fired upward from some initial distance above the ground. Its height in feet, h,above the ground, t seconds after

kirill115 [55]

Check the picture below.

$\bf \textit{ vertex of a vertical parabola, using coefficients}\\\\
\begin{array}{lccclll}
h(t) = &{{ -16}}t^2&{{ +96}}t&{{ +2560}}\\
&\uparrow &\uparrow &\uparrow \\
&a&b&c
\end{array}\qquad 
\left(-\cfrac{{{ b}}}{2{{ a}}}\quad ,\quad {{ c}}-\cfrac{{{ b}}^2}{4{{ a}}}\right)$

so.. the maximum point is at $\bf {{ c}}-\cfrac{{{ b}}^2}{4{{ a}}}~~~ft$

and it happened after $\bf -\cfrac{{{ b}}}{2{{ a}}}~~~seconds$

--------------------------------------------------------------------------

now, when the rocket reaches the ground, as you saw on the picture, y = 0, thus

$\bf h(t)=-16t^2+96t+2560\implies 0=-16t^2+96t+2560
\\\\\\
0=-16(t^2-6t-160)\implies 0=t^2-6t-160
\\\\\\
0=(t-16)(t+10)\implies t=
\begin{cases}
\boxed{16}\\
-10
\end{cases}$

"t" is an amount in seconds, for this specific phenomena, it cannot be negative, so -10 is not a feasible value.

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Identify the factor(s) in the multiplication sentence below.

Scorpion4ik [409]

Answer:

Step-by-step explanation:

Factors are the two numbers which you multiply to get your product which is the equivalent of a sum in multiplication terms. You are multiplying two and nine in this scenario so they'd be the factors.

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A mechanic charges $20.00 an hour, h for labor plus parts. If the parts cost $217.00, write a linear equation that will find the

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Answer:

y=20x+217

Step-by-step explanation:

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3 years ago

Round each number to the nearest thousand.

pickupchik [31]

Answer:

19. 9000

20. 5000

21. 63000

22. 167000

23. 77000

24. 34000

25. 1000

26. 9000

27. 122000

Step-by-step explanation:

To do this, all you need to do is pay attention to the 4th digit and the third. Take 27 for example, 121,619. The fourth digit is 1, and the third digit is 6. because the third digit is 6, the fourth digit gets rounded up to 2. All numbers higher than the fourth digit (fifth, sixth, etc) stay the same and all digits below the fourth digit (first, second, third) become zero. hope this helps!

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