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Misha Larkins [42]
3 years ago
13

Solve the equation by completing the square: z^2 - 2z = 323

Mathematics
1 answer:
xz_007 [3.2K]3 years ago
3 0

Answer: A. -17 , 19

Step-by-step explanation:

Move all terms to one side.

z^2-2z-323=0

​

​​z^2 −2z−323=0

Factor : z^2-2z-323

​​ z^2−2z−323.

(z-19)(z+17)=0(z−19)(z+17)=0

Solve for z.

z=19,−17

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Step-by-step explanation:

It is decreasing in the time interval 0 < x < 2 hours.

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2 years ago
Rewrite the following equation in slope-intercept form.
Juli2301 [7.4K]

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y=-18/5(x)-7/5

Step-by-step explanation:

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3 years ago
What is the slope intercept of the equation of the line through the given point (0,3) and (-4,-1)
cestrela7 [59]

Answer:

y=x+3

Step-by-step explanation:

1.) Find slope

slope = (-1-3)/(-4-0)

= -4/-4

= 1

2.) Use point slope form

<u>y-y1= m (x-x1) </u>

both x1 and y1 are the points

m is the slope

3.) Plug in the numbers

for the points I chose (0,3) to plug in

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8 0
3 years ago
Glenda receives a salary of $4,792 bimonthly. Find Glenda’s earnings per year.
Andre45 [30]

Answer: $28,752

Explanation:

The<u> definition of bimonthly</u> is an event that happens once in two months. -bi represents "two", while -monthly represents "event that happens by month.

Given that Glenda receives a salary of <u>$4,792 bi-monthly</u>, we are required to find the earnings per year.

There are <u>12 months in each year</u>, and if the given value is a 2-month value, then we shall divide 12 by 2 to find that there is in total 6 of the 2-month value.

12/2=6

Finally, we shall <u>multiply the total number with the salary</u>, which will be $4,792 times 6.

4792*6=\boxed{28752}

Hope this helps!! :)

Please let me know if you have any questions

3 0
2 years ago
An experiment is to be conducted using environmentally safe peppermint oil to study the effectiveness of deterring mice from inf
shutvik [7]

Answer:

Option E is correct.

- Treatments: how the peppermint oil is dispersed

- Experimental unit: mice

- Response variable: number of mice in the dwellings

Step-by-step explanation:

The treatments in this type of statistical experiment refers to the part of the experiment that is tweaked, controlled or varied in the cases being studied. In this experiment, the method of essential oil dispersal is what is varied in the two experimental cases of this study.

Experimental Unit refers to the subject matters, who are participants in the experiment. They are the ones that the effect of the treatments is tested upon.

For this study, the experimental units are the mice subjected to either of the two methods of peppermint oil dispersal.

The response variable is how the experimental units (participants) respond to the treatments (experimental tweaks). Or how the tweaks manifest observable results in the participants of the study. For this study, the effect of the tweaks in the mice is shown in the number of mice that remain in each dwelling (where the two methods of peppermint oil dispersal have been implemented). Hence, the response variable is the number of mice in each dwelling.

Hope this Helps!!!

5 0
3 years ago
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