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Greeley [361]
3 years ago
9

Choose the best definition for the following phrase: combining like terms (1 point)

Mathematics
1 answer:
Maksim231197 [3]3 years ago
4 0

combining like terms in a polynomial is adding or subtracting together terms that have the same degree in the exponents.

example. 3x^3 + 5x^6 + 2x^3 +7x + 9x^6

= 7x + 5x^3 + 14x^6

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Ivenika [448]
Arc FE: 76°
arc DEF: 180°
arc CFD: 284°
arc DFE: 256°
4 0
3 years ago
if you place a 5ft ladder against the top of a 4ft building how many feet will the bottom of the ladder be from the bottom of th
nika2105 [10]

Answer:

3 ft.

Step-by-step explanation:

When you imagine the sentence, it is a right angled triangle. In this case, it's a Pythagoras Theorem. The formula for it is:

a²(opposite) + b²(adjacent) = c²(hypotenuse)

The building is the opposite, the distance between the foot of the ladder and the building is the adjacent, while the ladder is the hypotenuse.

We have the measurements except for the adjacent. So it will be:

c² - a² = b²

5² - 4² = b²

25 - 16 = b²

9 = b²

√9 = b

b = 3 ft

The answer is 3 ft.

5 0
3 years ago
A STORY OF RATIOS
larisa86 [58]

Answer:

dddadad

Step-by-step explanation:

7 0
3 years ago
In a survey of adults aged 57 through 85​ years, it was found that 86.6​% of them used at least one prescription medication. Com
OleMash [197]

Answer:

a) 272 used at least one prescription​ medication.

b) The 90% confidence interval estimate of the percentage of adults aged 57 through 85 years who use at least one prescription medication is (85.6%, 87.6%).

Step-by-step explanation:

Question a:

86.6% out of 3149, so:

0.866*3149 = 2727.

272 used at least one prescription​ medication.

Question b:

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 z-score that has a p-value of 1 - \frac{\alpha}{2}.

For this problem, we have that:

n = 3149, \pi = 0.866

90% confidence level

So \alpha = 0.1, z is the value of Z that has a p-value 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}} = 0.866 - 1.645\sqrt{\frac{0.866*0.134}{3149}} = 0.856

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.866 + 1.645\sqrt{\frac{0.866*0.134}{3149}} = 0.876

For the percentage:

0.856*100% = 85.6%

0.876*100% = 87.6%.

The 90% confidence interval estimate of the percentage of adults aged 57 through 85 years who use at least one prescription medication is (85.6%, 87.6%).

7 0
3 years ago
Simplify (4x − 6) + (3x + 6). 7x 7x − 12 x 7x + 12
noname [10]

Answer:

<h2>7x</h2>

Step-by-step explanation:

\left(4x-6\right)+\left(3x+6\right)\\\mathrm{Remove\:parentheses}:\quad \left(a\right)=a\\=4x-6+3x+6\\Group\:like\:terms\\=4x+3x-6+6\\\mathrm{Add\:similar\:elements:}\:4x+3x=7x\\=7x-6+6\\-6+6=0\\\\=7x

5 0
3 years ago
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