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Artemon [7]
1 year ago
13

An object is thrown upward from the top of a 48-foot building with an initial velocity of 32 feetquadratic equation h = - 16t^2+

32t + 48. When will the object hit the ground?
Mathematics
1 answer:
Alex17521 [72]1 year ago
3 0

SOLUTION

The object would hit the ground at the root of the equation, that is where h = 0

So we have

\begin{gathered} h=-16t^2+32t+48=0 \\ -16t^2+32t+48=0 \\ 16t^2-32t-48=0 \\ divide\text{ through by 16} \\ t^2-2t-3=0 \end{gathered}

Solving the quadratic equation, we have

\begin{gathered} t^2-3t+t-3=0 \\ t(t-3)+1(t-3)=0 \\ (t-3)(t+1)=0 \\ t=3,\text{ or} \\ t=-1 \end{gathered}

So we ignore -1 as time cannot be negative.

Hence the object hit the ground in 3 seconds

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-3(1-2x)-3=-20-8x what is the work and answer
larisa86 [58]
You have to keep order of operations in mind.

1. Take care of the parentheses; distribute.
-3+6x-3=-20-8x
Simplified: 6x-6=-20-8x

2. Isolate the x variable.
Add 8x to both sides and add 6 to both sides.
14x=-14

3. Solve for x.
Divide by 14 on both sides.
x=-1
4 0
3 years ago
Help me with these asap
IgorLugansk [536]
Use the app that you can easily find answers on
3 0
2 years ago
Megan is deciding when she needs to leave for school. If it typically takes her 15 minutes to walk to school, which is a reasona
Andreas93 [3]

Answer:

A) between 7:40 and 7:45

Step-by-step explanation:

Given,

The maximum time taken by her to walk to school = 15 minutes,

Since, the school starts on 8:00 AM,

Also, 15 minutes before 8:00 AM = 7:45 AM,

Thus, the maximum time at which she has to leave home = 7: 45 AM,

Hence, the reasonable estimate of the time she should leave home to get to school by 8:00 is between 7:40 and 7:45.

OPTION A would be correct.

3 0
3 years ago
Can you answer any of these or all I really need to finish today 10 points for any all questions
Rudiy27
Number 3 would be y=4x.
Number 5 would be 9 1/24 for the left side and 133/8 for the right side.

6 0
3 years ago
The ratio of boys to girls in a group is 5:3. If there are 18 more boys than girls, work out how
zmey [24]
<h3>Answer:  72 people total</h3>

45 boys, 27 girls

============================================================

Explanation:

g = number of girls

g+18 = number of boys, since there are 18 more boys than girls

For example, if g = 7, then g+18 = 7+18 = 25. In this example, we have 7 girls and 25 boys. The problem with this example is the ratio of boys to girls is 25:7 which is not equal to 5:3

We could use trial and error until we land on the solution, or we can use algebra as shown in the next section.

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

The ratio of boys to girls is 5:3, meaning

(number of boys)/(number of girls) = 5/3

which turns into

(g+18)/g = 5/3

after we make the proper substitutions

Let's solve for g

(g+18)/g = 5/3

3(g+18) = 5g

3g+54 = 5g

54 = 5g-3g

54 = 2g

2g = 54

g = 54/2

g = 27

There are 27 girls.

This leads to,

g+18 = 27+18 = 45

So there are 45 boys

In total, we have 27+45 = 72 people

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

Checking the answer:

The claim is that 45/27 is the same as 5/3

For now assume that claim is true. Set the fractions equal to each other and use cross multiplication like so

45/27 = 5/3

45*3 = 27*5

135 = 135

The third equation has the same thing on both sides, so it's a true equation. This must mean the first equation is true as well. Therefore, 45:27 and 5:3 are the same ratio and the answer is confirmed.

You could also use your calculator to note that

45/27 = 1.667

5/3 = 1.667

both decimal values are approximate.

8 0
3 years ago
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