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Svet_ta [14]
3 years ago
13

Can you help me solve this? 5 stars to the best answer! 3(x – 1) < -3(2 – 2x)

Mathematics
1 answer:
IgorLugansk [536]3 years ago
6 0
Any answer choices for the question???
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In simplest radical form, what are the solutions to the quadratic equation 6 = x2 - 10x?
WARRIOR [948]

Answer:

x = 5 - \sqrt{31}, 5 + \sqrt{31}

Step-by-step explanation:

6 = x^2 - 10x

0 = x^2 - 10x - 6

Let's use the quadratic formula. ( x = \frac{-b +- \sqrt{b^2 - 4ac}}{2a})

x = \frac{10 +- \sqrt{-10^2 - 4(-6)}}{2}

x = \frac{10 +- 2\sqrt{31} }{2}

  = 5 +- \sqrt{31}

x = 5 - \sqrt{31}, 5 + \sqrt{31}

5 0
3 years ago
The current population of a town is 10,000 and its growth in years can be represented by P(t) = 10,000(0.2)^t, where t is the ti
DiKsa [7]

Answer:

1) 20%

2) Choice a.

Step-by-step explanation:

P(t)=10000(0.2)^t

1) P(0) is the population initially.

P(1) is the population after a year.

\frac{P(1)}{P(0)} represents the population increase factor.

So let's evaluate that fraction:

\frac{P(1)}{P(0)}

\frac{10000(0.2)^1}{10000(0.2)^0}

\frac{0.2^1}{0.2^0}=\frac{0.2}{1}=0.2

0.2=20%

2) Let's figure out the population growth in terms of months instead of years.

P(t)=10000(0.2)^{t}

We want t to represent months.

A full year is 12 months, in a full year we have that P(1)=10000(0.2)^1=10000(0.2)=2000

So we want a new P such that P(12)=2000 since 12 months equals a year.

Let's look at the functions given to see which gives us this:

a) P(12)=10000(0.87449)^{12}=2000 \text{approximately}

b) P(12)=10000(0.87449)^{12(12)}=0 \text{ approximately}

c) P(12)=10000(0.87449)^{\frac{1}{12}}=9889 \text{approximately}

d) P(12)=10000(0.87449)^{12+12}=400 \text{approximately}

So a is the function we want.

Also another way to look at this:

P(t)=10000(.2)^t where t is in years.

P(t)=10000(.2^\frac{1}{12})^t where t is in months.

And .2^\frac{1}{12}=0.874485 \text{approximately}

8 0
3 years ago
If ON = MN, find MN.<br> A 4<br> B. 5<br> C. 4 square root 2<br> D. 4 square root 30
elena-14-01-66 [18.8K]

Answer:

c

Step-by-step explanation:

ON=MN, so triangle onm is a right isosclese triangle, so ON=NM=4 square root 2

4 0
3 years ago
Read 2 more answers
Please help with via math I suck at math so plz help... will give brainiest to the person I think gave the best answer.
irga5000 [103]
4:3 for the ratio and for the word ratio you can say that there is 4 squares and 3 triangles
6 0
3 years ago
What is the surface area, in square centimeters, of the rectangular prism below?
german

Answer: A. 724

Step-by-step explanation:

4 0
3 years ago
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