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Iteru [2.4K]
4 years ago
11

Will mark brainliest!!!

Mathematics
2 answers:
GalinKa [24]4 years ago
8 0

12x²+4xy-100=0. The equation that represents the statement of the problem is 12x²+4xy-100=0.

The equation is represents by  "Four times an unknown integer, multiplied by three times the unknown integer plus a different unknown integer, equals 100."

First, we have the statement "four times an unknown integer", this is:

4x

Then, multiplied by three times the unknown integer plus a different unknown integer, that is:

4x(3x+y)

And finally, the equation above is equals to 100.

4x(3x+y)=100

Operating

(4x)(3x)+(4x)(y)=100

12x²+4xy=100

Then,  subtracting 100 on both sides of the equation.

12x²+4xy-100=100-100

Obtaining

12x²+4xy-100=0

Savatey [412]4 years ago
5 0

Let's call the first unknown integer x and the second one y.

"Four times an unknown integer"

  • We can write it as 4x

"Multiplied by three times the unknown integer plus a different unknown integer"

  • 4x is multiplied by 3x+y, so 4x(3x+y)=12x²+4xy

"Equals 100."

  • 12x²+4xy=100

And so the answer is C: 12x²+4xy-100=0

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A study found that out of 300 people 60% of them prefer to eat hamburgers rather than hot dogs. Find the 95% confidence interval
Lerok [7]

Answer:

(0.5446, 0.6554)

Step-by-step explanation:

As the sample is sufficiently large, the formula is used to estimate the proportion shown in the attached image.

Where:

P: sample proportion = 0.6

n: Sample size = 300

1-\alpha: Confidence level = 0.95

α: Significance = 0.05

Z_{\alpha / 2} = 1.96 *

* Obtained from the normal standard table.

When introducing these values in the formula shown in the image we obtain:

0.6 + 1.96 *\sqrt {\frac{0.6*0.4}{300}}

0.6 - 1.96 *\sqrt{\frac{0.6*0.4}{300}}

Finally, the confidence interval is:

(0.5446, 0.6554)

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The car salesman makes a base salary of $2,000. He also gets $1,000 for every car he sells. And it asks us, "<span>How much does he earn for each car sold?"
 
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Answer:

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Step-by-step explanation:

The given parameters are;

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Therefore, the points on triangle ABC are transformed by a translation of 7 units to the right and 3 units up to form triangle A'B'C'

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The lengths of triangle ABC are congruent to the lengths of the sides of triangle A'B'C'

Therefore. ΔABC ≅ ΔA'B'C', by the Side-Side-Side (SSS) rule of congruency.

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