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ddd [48]
3 years ago
8

6y^3-15y^2-8y+20 factor by grouping

Mathematics
1 answer:
lutik1710 [3]3 years ago
7 0

Answer:

(2y - 5) (3y^2 - 4)

Step-by-step explanation:

Group and factor by using the Greatest Common Factor (GCF).

6y^3 - 15y^2 - 8y + 20

Simply multiply the terms inside the first pair of parenthesis, by the terms in the second pair of parenthesis.

2y x 3y^2 = 6y^3

2y x (-4) = 8y

-5 x 3y^2 = 15y^2

-5 x (-4) = 20

6y^3  - 8y  -15y^2 + 20

Now, simply simplify the problem!

(2y - 5) (3y^2 - 4)

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What is the solution set -4.9x +1.3 > 11.1
Irina18 [472]

Answer:

x < - 2

Step-by-step explanation:

given - 4.9x + 1.3 > 11.1 ( subtract 1.3 from both sides )

- 4.9x > 9.8 ( divide both sides by - 4.9 )

Remembering to reverse the direction of the inequality symbol as a result of dividing by a negative quantity.

x < - 2 ← inequality reversed

solution set : x ∈ ( - ∞, - 2 )


8 0
3 years ago
What is the answer to <br> 72 divide 0.75
Alex Ar [27]

Answer:

96

Step-by-step explanation:

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3 years ago
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Ayuda plis es para hoy​
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Es la segunda media es 1.65, mediana es 1.65, y modo es 1.61
5 0
3 years ago
The state education commission wants to estimate the fraction of tenth grade students that have reading skills at or below the e
Viefleur [7K]

Answer:

The 95% confidence interval for the population proportion of tenth graders reading at or below the eighth grade level is (0.2087, 0.2507).

Step-by-step explanation:

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 zscore that has a pvalue of 1 - \frac{\alpha}{2}.

For this problem, we have that:

Suppose a sample of 1537 tenth graders is drawn. Of the students sampled, 1184 read above the eighth grade level. So 1537 - 1184 = 353 read at or below this level. Then

n = 1537, \pi = \frac{353}{1537} = 0.2297

95% confidence level

So \alpha = 0.05, z is the value of Z that has a pvalue of 1 - \frac{0.05}{2} = 0.975, so Z = 1.96.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2297 - 1.96\sqrt{\frac{0.2297*0.7703}{1537}} = 0.2087

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2297 + 1.96\sqrt{\frac{0.2297*0.7703}{1537}} = 0.2507

The 95% confidence interval for the population proportion of tenth graders reading at or below the eighth grade level is (0.2087, 0.2507).

7 0
3 years ago
Allen traveled for 7 hours at a constant rate of 40 miles per hour. Anna traveled the same distance at a constant rate of 50 mil
TEA [102]

Here is the correct order of the step:

Identify: Anna's time is the unknown

Strategize : let x = Anna's time

Set up : 7(40) = x(50)

Solve: x = 5.6

Check: 7(40) = 5.6(50)

<h3>What is Anna's time?</h3>

The first step is to determine the distance Allen travelled:

Distance = average speed x time

40 x 7 = 280 miles  

The second step is to determine the time it took Anna to travel 280 miles.

Time = distance / average speed

280 / 50 = 5.6 hours

To learn more about average speed, please check: brainly.com/question/21734785

#SPJ1

3 0
2 years ago
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