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mihalych1998 [28]
3 years ago
12

Which choices are equivalent to the expression below? check all that apply

Mathematics
2 answers:
svet-max [94.6K]3 years ago
8 0

Answer: i square root 9 & 3i

Step-by-step explanation:

o-na [289]3 years ago
7 0

Answer:

The answer is B and D.

Step-by-step explanation:

I got it wrong and these we’re correct.

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Find the roots of h(t) = (139kt)^2 − 69t + 80
Sonbull [250]

Answer:

The positive value of k will result in exactly one real root is approximately 0.028.

Step-by-step explanation:

Let h(t) = 19321\cdot k^{2}\cdot t^{2}-69\cdot t +80, roots are those values of t so that h(t) = 0. That is:

19321\cdot k^{2}\cdot t^{2}-69\cdot t + 80=0 (1)

Roots are determined analytically by the Quadratic Formula:

t = \frac{69\pm \sqrt{4761-6182720\cdot k^{2} }}{38642}

t = \frac{69}{38642} \pm \sqrt{\frac{4761}{1493204164}-\frac{80\cdot k^{2}}{19321}  }

The smaller root is t = \frac{69}{38642} - \sqrt{\frac{4761}{1493204164}-\frac{80\cdot k^{2}}{19321}  }, and the larger root is t = \frac{69}{38642} + \sqrt{\frac{4761}{1493204164}-\frac{80\cdot k^{2}}{19321}  }.

h(t) = 19321\cdot k^{2}\cdot t^{2}-69\cdot t +80 has one real root when \frac{4761}{1493204164}-\frac{80\cdot k^{2}}{19321} = 0. Then, we solve the discriminant for k:

\frac{80\cdot k^{2}}{19321} = \frac{4761}{1493204164}

k \approx \pm 0.028

The positive value of k will result in exactly one real root is approximately 0.028.

7 0
2 years ago
Graph the line with x-intercept 9 and y-intercept 7.<br>What is the slope m of this line?​
DIA [1.3K]
Here u go I hope this helps

7 0
3 years ago
This question is confusing me
gizmo_the_mogwai [7]

Answer:

She went on the slide 8 times and on the roller coaster 4 times

Step-by-step explanation:

We convert each statements to a mathematical equation.

Firstly, let's represent the number of times she went on the coaster with R and the number of times on the slide with S. We know quite well she went on 12 rides. Hence the summation of both number of times yield 12.

Mathematically, R + S = 12. ........(i)

Now we also know her total wait time was 3hours. Since an hour equals 60 minutes, her total wait time would equal 180 minutes.

To get a mathematical representation for the wait time, we multiply the number of roller coaster rides by 25 and that of the slides by 10.

Mathematically, 25R + 10S = 180 .......(ii)

Here we now have two equations that we can solve simultaneously.

From equation 1 we can say R = 12 - S. We can then substitute this into equation 2 to yield the following:

25(12 - s) + 10s = 180

300 - 25s + 10s = 180

300 - 25s + 10s = 180

300 - 15s = 180

15s = 300 - 180

15s = 120

S = 120/15

S = 8

S = 8 , and R = 12 - S = 12 - 8 = 4

5 0
3 years ago
|3 + x| = 5<br> Solve for x
bearhunter [10]

Answer:

x = - 8 , x = 2

Step-by-step explanation:

the absolute value function always gives a positive result, however, the expression inside can be positive or negative, , that is

x + 3 = 5 ( subtract 2 from both sides )

x = 2

or

-(3 + x) = 5

- 3 - x = 5 ( add 3 to both sides )

- x = 8 ( multiply both sides by - 1 )

x = - 8

5 0
2 years ago
Read 2 more answers
Which expression is equivalent to 4/5 divided by 8
notsponge [240]
4/5 divided by 8 is 0.1 other than that I don’t know that question is kind of vague
6 0
3 years ago
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