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3 years ago

Solve for x. x2−9=55 Enter the solutions for the equation in the boxes. x = or x =

Mathematics

2 answers:

Lady bird [3.3K]3 years ago

7 0

Answer:

x= 8 OR x=-8

Step-by-step explanation:

8^2-9=55

64-9=55

-8^2-9=55

-64-9=55

Rudiy273 years ago

6 0

X² - 9 = 55
+ 9
x² = 64
√
x = ± 8

So your answer would be x = 8 or x = -8

I hope this helps!

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If you buy a book of 5 basketball tickets for $62.50 what is the rate of cost per ticket

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each ticket would cost 12.50 you divide 62.50 by 5

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3 years ago

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The creators David Benioff and D. B. Weiss of the TV show "Game of Thrones", want to know how popular Season 8 was among the sho

hram777 [196]

Answer:

The lower bound for a 90% confidence interval is 0.2033

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

For this problem, we have that:

$n = 40361, \pi = \frac{8337}{40361} = 0.2066$

90% confidence level

So $\alpha = 0.1$ , z is the value of Z that has a pvalue of $1 - \frac{0.1}{2} = 0.95$ , so $Z = 1.645$ .

The lower limit of this interval is:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2066 - 1.645\sqrt{\frac{0.2066*0.7934}{40361}} = 0.2033$

The lower bound for a 90% confidence interval is 0.2033

3 0

3 years ago

∫tan(x)³dx<br>please someone solve this for me

castortr0y [4]

Answer:

½ sec²(x) + ln(|cos(x)|) + C

Step-by-step explanation:

∫ tan³(x) dx

∫ tan²(x) tan(x) dx

∫ (sec²(x) − 1) tan(x) dx

∫ (sec²(x) tan(x) − tan(x)) dx

∫ sec²(x) tan(x) dx − ∫ tan(x) dx

For the first integral, if u = sec(x), then du = sec(x) tan(x) dx.

∫ u du = ½ u² + C

Substituting back:

½ sec²(x) + C

For the second integral, tan(x) = sin(x) / cos(x). If u = cos(x), then du = -sin(x) dx.

∫ -du / u = -ln(u) + C

Substituting back:

-ln(|cos(x)|) + C

Therefore, the total integral is:

½ sec²(x) + ln(|cos(x)|) + C

4 0

3 years ago

A metro car in New Orleans travels 4 miles in 3 minutes. If the relationship between distance, in miles, and time, in minutes, o

KATRIN_1 [288]

Answer:

The awnser is C

Step-by-step explanation:

8 0

3 years ago

Imagine that yourfriend missed the lesson on how to solve a system of equations using the substitution method. You want to help

Lana71 [14]

A system of equations is a collection of two or more equations with the same variables. When solving this system, u need to find the unknown variables. One way of solving a system of equations is by substitution.

example :

2x + 2y = 6 (equation 1)
3x + y = 4 (equation 2)

we need to pick a variable and isolate it. The easiest one to pick since it is already by itself is the y in the second equation.
3x + y = 4.....subtract 3x from both sides
y = -3x + 4

now we can sub -3x + 4 in for y in the 1st equation...u have to make sure u sub it back into the 1st equation and not the same equation u used to find it.

2x + 2y = 6.....sub in -3x + 4 in for y and solve for x
2x + 2(-3x + 4) = 6...distribute thru the parenthesis
2x - 6x + 8 = 6...subtract 12 from both sides
2x - 6x = 6 - 8...simplify
-4x = -2...divide both sides by -4
x = -2/-4
x = 1/2

now that we have a numerical number for x, u can sub this back into either of ur equations to find a numerical answer for y.

y = -3x + 4...when x = 1/2
y = -3(1/2) + 4
y = -3/2 + 4
y = -3/2 + 8/2
y = 5/2

so ur solution is : (1/2,5/2) <===

and u can check ur answers by subbing them into ur equations to see if they satisfy both equations...because for it to be a solution to this system, it has to satisfy both equations and not just one of them

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3 years ago