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algol13
3 years ago
13

7/10+6/100= how do solve this problem

Mathematics
2 answers:
Natasha2012 [34]3 years ago
8 0
\frac{7}{10}+\frac{6}{100}=\frac{70}{100}+\frac{6}{100}=\frac{76}{100}=0.76
kondor19780726 [428]3 years ago
6 0
We need to find the Lowest Common Denominator = LCD lowest is 100
10 x 10, 20, 30, 40, 50, 60, 70, 80, 90, 100
100 x 100, 200, 300, 400, 500, 600, 700, 800, 900, 1000. which is the lowest and common? 100
7/10  /100 how many times can 10 go into 100? 10 times. so we will multiply 10 time the numerator which is 7, and now will be 70/100
6/100 /100 how many times can 100 go into 100? 1 time. so we will multiply 1 time the numerator 6 which equals 6. 6/100
now add the new fractions. 70/100 + 6/100 = 76/100
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Find all the zeros of the polynomial function p(x) = x3 – 5x2 + 33x – 29
hram777 [196]

Answer:

\large \boxed{\sf \ \ x=1, \ \ x=2+5i, \ \ x=2-5i \ \ }

Step-by-step explanation:

Hello,

I assume that we are working in \mathbb{C}, otherwise there is only one zero which is 1. Please consider the following.

First of all, <u>we can notice that 1 is a trivial solution</u> as

   p(1) = 1^3-5\cdot 1^2 + 33\cdot 1-29=1-5+33-29=0

It means that (x-1) is a factor of p(x) so we can find two real numbers, a and b, so that we can write the following.

p(x)=(x-1)(x^2+ax+b)=x^3+ax^2+bx-x^2-ax-b=x^3+(a-1)x^2+(b-a)x-b

Let's identify like terms as below.

a-1 = -5 <=> a = -5 + 1 = -4

b-a = 33

-b = -29 <=> b = 29

So

\boxed{ \ p(x)=(x-1)(x^2-4x+29) \ }

Now, we need to find the zeroes of the second factor, meaning finding x so that:

x^2-4x+29=0 \ \text{ complete the square, 29 = 25 + 4}  \\ \\  x^2-2\cdot 2 \cdot x+2^2+25=0 \\ \\ (x-2)^2=-25=(5i)^2 \ \text{ take the root } \\ \\x-2=\pm 5i \ \text{ add 2 } \\ \\  x = 2+5i \ \text{ or } \ x = 2-5i

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

5 0
3 years ago
100 POINTS Coronavirus cases rose from 23 cases on October 3rd to 103 cases on November 3rd .What was the percent increase based
evablogger [386]

Answer:

<h2><em>348% increase</em></h2>

Step-by-step explanation:

103 - 23 / 23 = 3.47826

3.48 x 100% = 348%

8 0
3 years ago
If anyone could help, it would mean the world. thank you
kondaur [170]
I forgot that but good luck
7 0
3 years ago
Geometry help with number 18!
lora16 [44]
BE is parallel to CD, therefore, m∠BEC=m∠ECD, therefore mBC=mDE
BE is the diameter, so Arc BE is 180 degree
mBC+mCD+mDE=180
replace mCD with 3mBC, and replace mDE with mBC: mBC+3mBC+mBC=180
5mBC=180
mBC=180/5=36
mCD=3mBC=3*36=108
the inscirbed angle m∠ECD= the measure of arc DE=36
4 0
3 years ago
If zach runs 6 miles, 5 days a week. How many miles does he run in 2 weeks,
Genrish500 [490]

Answer:

60 miles

Step-by-step explanation:

In 1 week Zach will run

6* 5 = 30 miles

Multiply this by 2 for 2 weeks

30*2 = 60 miles

4 0
3 years ago
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