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stepan [7]
2 years ago
11

Solve the following inequality: 10 - 2x ≥ 12.

Mathematics
1 answer:
enot [183]2 years ago
7 0

Answer:

x<(with a line underneath)-1

Step-by-step explanation:

10-2x>(with a line underneath)12

-10 -10

-2x>(with a line underneath)2

/-2 /-2

x<(with a line underneath)-1

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A box of ice cream bars had a regular price of $60. The discount is 10% off the price. Calculate the new price after the discoun
marysya [2.9K]
60 * 0.10 = 6
$6 price off
60 - 6 = $54
Solution: new price: $54
6 0
2 years ago
The terminal arm of an angle drawn in standard position rotates in a positive direction through two quadrants of the coordinate
Aneli [31]
There are 4 quadrants and each quadrant is has a measure of 90° angle.

Because the direction is positive, it means that the arm is going from 1st quadrant to 2nd quadrant.

90° + 90° = 180°

Because there is an additional rotation of 25°, the arm is now in the 3rd quadrant. 

180° + 25° = 205°

The measure of the angle is 205°
3 0
3 years ago
The point nearest to the origin on a line is at (4, -4). Find the standard form of the equation of the line.
Scrat [10]

Just did a specific one of these; let's do the general case.


The point nearest the origin is (a,b).


The line from the origin through the point is


bx - ay = 0


The line we seek is perpendicular to this one. We swap the coefficients on x and y, negating one, to get the perpendicular family of lines. We set the constant by plugging in the point (a,b):


ax + by = a^2 + b^2


ax + by -( a^2 + b^2) = 0


That's standard form; let's plug in the numbers:


4 x - 4 y - 32 = 0


x - y - 8 = 0



5 0
3 years ago
What is the answer to 2x^3(5x-1)
ikadub [295]
The answer is 10x^4 - 2x ^3
3 0
3 years ago
Read 2 more answers
Please help, thank you
solmaris [256]

Answer:

1.

8x + 6y = 28

9x + 3y = 39

Set to equal y.

8x + 6y = 28

6y = -8x + 28

y = -8/6x + 28/6

y = -4/3x + 14/3

9x + 3y = 39

3y = -9x + 39

y = -9/3x + 39/3

y = -3x + 13

Set equal to each other.

-4/3x + 14/3 = -3x + 13

Combine like terms.

5/3x = 25/3

Multiply by 3/5

x = 5

Plug x in.

y = -3(5) + 13

y = -15 + 13

y = -2

(5, -2)

2.

-2x - 9y = -3

-7x - 9y= -33

Set equal to y.

-2x - 9y = -3

-9y = 2x - 3

y = -2/9x + 3/9

y = -2/9x + 1/3

-7x - 9y= -33

-9y = 7x - 33

y = -7/9x + 33/9

y = -7/9x + 11/3

Set equal to each other

-2/9x + 1/3 = -2/9x + 1/3

0 = 0

infinitely many solutions

8 0
2 years ago
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