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DerKrebs [107]
3 years ago
10

10(x – 9) > -270 How do I do this ?

Mathematics
1 answer:
Ilia_Sergeevich [38]3 years ago
4 0

Answer:

x > -18

Step-by-step explanation:

10 ( x - 9 ) > -270

Treat the inequality like an equation,

Distribute first:

10 ( x - 9 ) > - 270

10x - 90 > -270

Inverse operations:

10x - 90 > -270

      +90    +90

10x > -180

/10     /10

x > -18

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the equation of a circle in general form is x squared + y squared + 20x + 12 y + 15 equals 0what is the equation of the circle i
Marrrta [24]

Answer: (x+10)^2+(y+6)^2=121

Step-by-step explanation:

The equation of a circle in the general form is:

 ax^{2}+by^2+cx+dy+e=0

The equaton of  a circle in standard form is:

(x-h)^2+(y-k)^2=r^2

Where the center is at <em>(h, k)</em> and <em>r</em> is the radius

To write the equation of a circle from general form to standard form, you must complete the squaare, as you can see below:

1- Given the equation in general form:

x^{2}+y^2+20x+12y+15=0

2- Complete the square:

-Group the like terms and move the constant to the other side.

- Complete the square on the left side of the equation.

- Add the same value to the other side.

Then you obtain:

(x^{2}+20x)+(y^2+12y)=-15\\(x^2+20x+(\frac{20}{2})^2)+(y^2+12y+(\frac{12}{2})^2)=-15+(\frac{20}{2})^2+(\frac{12}{2})^2\\\\(x+10)^2+(y+6)^2=-15+100+36\\(x+10)^2+(y+6)^2=121

4 0
3 years ago
Sin 68 = 70/w<br><br> find w
Kazeer [188]

Answer:

sin 68 =70/w

sin68(w)=70

0.927w=70

w=70/0.927

w=75.51

6 0
3 years ago
A high school service club is collecting
Misha Larkins [42]

We are looking for he total number of cans so:

day 1= 325 cans

day 2-9 = 944 (118 cans each day)...

118*8 = 944

therefore total number of cans =

day 1 + days 2-9

= 325+944

=1269

4 0
3 years ago
Mr.miller spends an hour and a half working in his garden. which number line could show the time Mr.miller spends working in his
IgorLugansk [536]

Answer: 3:00 4:00

Step-by-step explanation:

I’m to lazy to say why but trust me

7 0
3 years ago
The company’s cost of manufacturing a single 1-inch binder is $0.25. What is the expected profit (in dollars) that the company w
pav-90 [236]

It should be noted that the mean and the standard deviation of the data given in will be 4.26 and 1.1011 respectively.

<h3>How to solve the mean.</h3>

From the complete information, the mean will be calculated as:

= (0.02 × 1) + (0.09 × 2) + (0.12 × 3) + (0.15 × 4) + (0.62 × 5)

E(X) = 4.26

The standard deviation will be calculated thus:

E(X²) = (0.02 × 1²) + (0.09 × 2²) + (0.12 × 3²) + (0.15 × 4²) + (0.62 × 5²)

E(X²) = 19.36

The standard deviation will then be the difference between the square root of 19.36 and 4.26². This will be 1.1011.

The expected profit of the company will be:

= 0.75 × E(X)

= 0.75 × 4.26

= $3.20

The mean of the total number of binders purchased will be:

= 4.26 + 2.74 = 7

The standard deviation will be 1.6658.

Lastly, the total expected profit will be:

= 0.75E(X) + 1.45E(Y)

= 0.75(4.26) + 1.45(2.74)

= 3.195 + 3.973

= 71.68

Learn more about standard deviation on:

brainly.com/question/24298037

4 0
3 years ago
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