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kykrilka [37]
3 years ago
6

What is the completely factored form of the expression 16x^2+8x+32

Mathematics
2 answers:
Oksanka [162]3 years ago
8 0

Just like that:

16x^2+8x+32=8(2x^2+x+4)

Because 2x² + x + 4 = 0 has no real roots, therefore, it does not factors.

Papessa [141]3 years ago
7 0

Answer:

8(2x^2 +x +4)

Step-by-step explanation:

16x^2+8x+32

We can factor an 8 out of all the terms

8(2x^2 +x +4)

We cannot factor this any further


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A student wanted to construct a 95% confidence interval for the mean age of students in her statistics class. She randomly selec
Alex_Xolod [135]

Answer:

95% confidence interval for the population mean is 20.255 and 17.945

Step-by-step explanation:

given data

mean = 19.1

standard deviation = 1.5

n = 9

to find out

95% confidence interval for the population mean

solution

we know 95% confidence interval formula i.e.

mean +/- t * standard deviation/\sqrt{n}   .............1

here t for 9 students 2.31 ( from t table)

so put all value n t standard deviation and mean in equation 1

= mean +/- t * standard deviation/\sqrt{n}

= 19.1 +/- 2.31 * 1.5/\sqrt{9}

= 19.1 +/- 2.31 * 1.5/\sqrt{9}  

= 20.255 and 17.945

95% confidence interval for the population mean is 20.255 and 17.945

7 0
3 years ago
What is the minimum number of triangles needed to construct a hexagon?
Sholpan [36]

Answer:

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
You work two jobs. You earn $14.64 per hour as a salesperson and $12.20 per hour stocking shelves. Your combined earnings this m
Igoryamba

I'm assuming you have to graph a line that shows the combination of earnings.

Our equation is 14.64y + 12.20x = 219.60

We'll be solving for x and y. We'll need to substitute the variables, one at a time, to 0, in order to find their intercepts.

Let's do x first.

14.64(0) + 12.20x = 219.60

12.20x = 219.60

Divide by 12.20 on both sides.

x = 18

Now let's solve for y.

14.46y + 12.20(0) = 219.60

14.46y = 219.60

Divide both sides by 14.46.

y = 15.18

That is actually a long decmal, but since we're dealing with money, we round it down to the nearest cent.

So, now we know x = 18 and y = 15.18.

Graph those on the x coordinate plane and the y coordinate plane, and make a line connecting the two. That line represents all the solutions.

7 0
2 years ago
It takes Henry 3 hours to paint someone’s portrait how many hours would it take for him to paint all 8 of his friends’ portraits
Y_Kistochka [10]
If each painting takes 3 hours, and he has to do 8 then he would spend 24 hours doing all 8 portraits
5 0
2 years ago
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