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Greeley [361]
2 years ago
13

Im pulling my hair out with this problem my calculator simplified it to

qrt%7B14%7D%7D%7B10%7D" id="TexFormula1" title="\frac{1+/-\sqrt{14}}{10}" alt="\frac{1+/-\sqrt{14}}{10}" align="absmiddle" class="latex-formula">
What am i doing wrong?? :')

Mathematics
2 answers:
blsea [12.9K]2 years ago
7 0

Answer:

-5/3 and -1

Step-by-step explanation:

I am not sure what you mistake is, but here is my solution.  I hope that it helps.  I am sorry that you are frustrated.  We have all been there.

Tamiku [17]2 years ago
6 0

~~~~~~~~~~~~\textit{quadratic formula} \\\\ 0=\stackrel{\stackrel{a}{\downarrow }}{3}x^2\stackrel{\stackrel{b}{\downarrow }}{+2}x\stackrel{\stackrel{c}{\downarrow }}{-5} \qquad \qquad x= \cfrac{ - b \pm \sqrt { b^2 -4 a c}}{2 a} \\\\\\ x= \cfrac{ - (2) \pm \sqrt { (2)^2 -4(3)(-5)}}{2(3)} \implies x = \cfrac{ -2 \pm \sqrt { 4 +60}}{ 6 } \\\\\\ x= \cfrac{ -2 \pm \sqrt { 64 }}{ 6 }\implies x=\cfrac{ -2 \pm 8}{ 6 }\implies x= \begin{cases} ~~ 1\\ -\frac{5}{3} \end{cases}

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What is the decay factor of the exponential function represented by the table?
Nina [5.8K]

Answer:

Option 2 is correct.

Step-by-step explanation:

We have been provided a table of values of an exponential function and we are asked to find out the decay factor of the function.

Upon looking at our table we can see that every time x increases by one our y value remains one-third of the previous value.

To find out decay factor we will subtract 1/3 from 1.

1-\frac{1}{3} =\frac{3-1}{3} =\frac{2}{3}

Therefore, decay factor of the exponential function is \frac{2}{3} and option 2 is correct choice.

6 0
4 years ago
Read 2 more answers
A musical charges $ 3.50 for children's tickets and $5.00 for adults tickets. Last night, twice as many adults attended the musi
iogann1982 [59]

Answer: 61 children attended the musical last night.

Step-by-step explanation:

Let x represent the number of children that attended the musical last night.

Let y represent the number of adults that attended the musical last night.

The musical charges $3.50 for children's tickets and $5.00 for adults tickets. If the tickets sales totaled $823.50. It means that

3.5x + 5y = 823.5- - - - - - - - - - 1

Last night, twice as many adults attended the musical than children. It means that

y = 2x

Substituting y = 2x into equation 1, it becomes

3.5x + 5 × 2x = 823.5

3.5x + 10x = 823.5

13.5x = 823.5

x = 823.5/13.5

x = 61

y = 2x = 2 × 61

y = 122

3 0
3 years ago
For the vertical motion model h(t) = -16t2 + 54t + 3, identify the maximum height reached by an object and the amount of time th
soldi70 [24.7K]

Answer:

  • height: 48.6 ft
  • time in air: 3.4 s

Step-by-step explanation:

A graphing calculator provides a nice answer for these questions. It shows the maximum height is 48.6 feet, and the time in air is 3.4 seconds.

__

The equation can be rewritten to vertex form to find the maximum height.

  h(t) = -16(t^2 -54/16t) +3 . . . . . group t-terms

  h(t) = -16(t^2 -54/16t +(27/16)^2) + 3 + 27^2/16

  h(t) = -16(t -27/16)^2 +48 9/16

The maximum height is 48 9/16 feet, about 48.6 feet.

__

The air time is found at the value of t that makes h(t) = 0.

  0 = -16(t -27/16)^2 +48 9/16

  (-48 9/16)/(-16) = (t -27/16)^2 . . . . . . . subtract 48 9/16 and divide by -16

  (√777 +27)/16 = t ≈ 3.4297 . . . . . square root and add 27/16

The time in air is about 3.4 seconds.

8 0
3 years ago
Insert a parentheses <br> 4 + 3 * 7 - 4
lana66690 [7]
(4+3)(7-4) if you want the products to multiply each other
4+3(7-4) if you want to use the distributive property and simply have 3 multiplied but the simplification of 7-4 which is 3
3 0
3 years ago
Read 2 more answers
A giant tortoise can travel 0.19 miles in 1 hour. At this rate, how long would it take the tortoise to travel 1 mile?
hjlf

Answer:

5.26 hours or 315.6 minutes

Step-by-step explanation:

If he travels 0.19 miles in 1 hour

Then 1 mile is traveled (1x1)/0.19

5.26 approx. hours or 5.26 x 60 mins = 315.6.

8 0
3 years ago
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