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Tems11 [23]
3 years ago
12

How do you solve 4x+1/3=x-5/2

Mathematics
1 answer:
Lemur [1.5K]3 years ago
5 0
4x+1/3=x-5/2
4x-x=-5/2-1/3
3x=-17/6
1/3(3x)=1/3(-17/6)
X=-17/18
You might be interested in
The following angles are supplementary find the missing angle measure
nekit [7.7K]

Answer:

<em>x = 62°, y = 103°</em>

Step-by-step explanation:

<u>Supplementary Angles</u>

Two angles are called <em>supplementary</em> when their measures add up to 180 degrees.

The image shows two pairs of supplementary angles. We have to find the value of the unknown variable.

The first drawing shows supplementary angles x and 118°. They must satisfy the equation:

x + 118° = 180°

Subtracting 118°:

x = 180° - 118°

x = 62°

From the second drawing, we set up the equation:

y + 77° = 180°

Subtracting 77°:

y = 180° - 77°

y = 103°

6 0
3 years ago
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
Shoes were 20% off the sale price was 19.60 what is the original price?
Amanda [17]
I believe the answer is 23.52 because if u add 19.60 to 20% thats what u get
6 0
3 years ago
PLZZZ HELPPPP Assume line q is parallel to line m. Choose from the drop-down menus to solve for m∠6​​
Vikentia [17]

Answer:

1= 75 2= 60 3=180 4=45 5= vertical angles 6=45

Step-by-step explanation:

All we have to do is use supplimentary angles

For example angle 1

105+angle 1=180

angle one = 75 degrees

120+angle 2=180

angle two= 60 degrees

There 180 degreees in a triagle.

So angle 1 + angle 2+ angle 7= 180

75+60+angle 7=180

angle 7= 45 degrees

And since 6 and 7 are vertical angles, angle 6 is also 45 degrees.

8 0
3 years ago
-2(6+s) Greater than or equal to -15 - 2s
Eddi Din [679]

Answer:

I'm leaning mostly towards C Because there is a solution, None of them are real numbers and if they were, S would = 5 Especially positive S

~ Zachary

7 0
3 years ago
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