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s344n2d4d5 [400]
3 years ago
14

Use algebraic strategies to solve √2x+3=x . How many solutions did you come up with? Which strategies did you use?

Mathematics
1 answer:
choli [55]3 years ago
6 0

Answer:

x=-1, 3

2 solutions, strategies=quadratic formula

Step-by-step explanation:

1. square the whole equation

(√2x+3)²=(x)²

2x+3=x²

since it becomes a quadratic equation, take all terms on one side = to 0

x²-2x-3=0

Use the quadratic formula, because the equation cannot be factored.

x=(-b±√b²-4ac)/2a

x=(-(-2)±√4-4×1×-3)/2×1

x=(2±√4+12)/2

x=(2±√16)/2

x=(2±4)/2

x=1±2

x=1+2, 1-2

∴x=-1, 3

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Is 4/3 and 8/6 a proportion
Alexus [3.1K]

Answer:

yes

Step-by-step explanation:

If you divide one into the other and the answer is 1 then they are of the same ratio.

6 0
3 years ago
Read 2 more answers
Find the value of x in each quadrilateral.
elena-14-01-66 [18.8K]

If i am correct, these values should add to 360, so I do it by

140 + 110 + 62 = 312

360 - 312 = 48

So the value of the last side must equal 48.

Your answer would be x = -9. Proof:

If 9 is filled in, you would have

(3 - 5(-9))

(3 - (-45))

48

Then

48 + 140 + 110 + 62 = 360!

⭐ Please consider brainliest! ⭐

✉️ If any further questions, inbox me! ✉️

4 0
3 years ago
The box plots below show attendance at a local movie theater and high school basketball games: Two box plots are shown. The top
nignag [31]

Answer:

Inter-quartile range

Step-by-step explanation:

When you have the quartile, you can use the IQR (interquartile range) to measure the dispersion.

IQR = Q3 - Q1

Movies: IQR = 195 - 162 = 33

Basketball: IQR = 225 - 170 = 55

Attendance at Basketball is more dispersed/spread out as compared to attendance at Movies

8 0
3 years ago
Crop researchers plant 15 plots with a new variety of corn. The yields in bushels per acre are: 138.0 139.1 113.0 132.5 140.7 10
son4ous [18]
There is a relationship between confidence interval and standard deviation:
\theta=\overline{x} \pm \frac{z\sigma}{\sqrt{n}}
Where \overline{x} is the mean, \sigma is standard deviation, and n is number of data points.
Every confidence interval has associated z value. This can be found online.
We need to find the standard deviation first: 
\sigma=\sqrt{\frac{\sum(x-\overline{x})^2}{n}
When we do all the calculations we find that:
\overline{x}=123.8\\ \sigma=11.84
Now we can find confidence intervals:
($90\%,z=1.645): \theta=123.8 \pm \frac{1.645\cdot 11.84}{\sqrt{15}}=123.8 \pm5.0\\($95\%,z=1.960): \theta=123.8 \pm \frac{1.960\cdot 11.84}{\sqrt{15}}=123.8 \pm 5.99\\ ($99\%,z=2.576): \theta=123.8 \pm \frac{2.576\cdot 11.84}{\sqrt{15}}=123.8 \pm 7.87\\
We can see that as confidence interval increases so does the error margin. Z values accociated with each confidence intreval also get bigger as confidence interval increases.
Here is the link to the spreadsheet with standard deviation calculation:
https://docs.google.com/spreadsheets/d/1pnsJIrM_lmQKAGRJvduiHzjg9mYvLgpsCqCoGYvR5Us/edit?usp=sharing
6 0
3 years ago
Will the lengths 4, 9, 5 form a triangle
seropon [69]

Answer:

no.

Step-by-step explanation:

The sum of two side lengths have to be <u><em>greater</em></u> than the value of the remaining side length.

Hope this helps. Have a nice day you amazing bean child.

6 0
3 years ago
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