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Art [367]
3 years ago
12

SOLVE PLEASE 11x – 9 > 13 or –4x – 4 < 8.

Mathematics
1 answer:
Readme [11.4K]3 years ago
5 0
11x-9>13 -- add 9 to both sides
11x>22 -- divide by 11
x>2

-4x-4<8 -- add 4 to both sides
-4x<12 -- switch signs (to make variable positive)
4x<-12 -- divide by 4
x<-3
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One eighth of a number is ten less than one third of the number. Find the number.
GarryVolchara [31]
X/8 - 10 = x/3

bring the values with the variable on one side

x/3 - x/8 = 10

find a common denominator and subtract these fractions

8x/24 - 3x/24 = -10

now subtract fractions

8x - 3x = 5x

5x/24 = -10

multiply both sides by 24

5x = -240

divide both sides by 5

x = -48

the number is -48
7 0
3 years ago
Read 2 more answers
Is the relationship shown by the data linear? How can you tell if it is or is not? If so, model the data with an equation.
Marat540 [252]

Answer:

linear and y = 2x + 19

Step-by-step explanation:

the x- values increment by 2 and the values of y increment by 4

This indicates a linear relationship exists in the form

y = mx + c ( m is the slope and c the y-intercept )

m = \frac{rise}{run} = \frac{4}{2} = 2

y = 2x + c ← is the partial equation

to find c use any ordered pair from the table

using (- 5, 9 ), then

9 = - 10 + c ⇒ c = 9 + 10 = 19

y = 2x + 19 ← linear equation

As a check

x = - 7 : y = - 14 + 19 = 5 ← correct value of y

x = - 5 : y = - 10 + 19 = 9 ← correct value of y

x = - 3 : y = - 6 + 19 = 13 ← correct value of y

x = - 1 : y = - 2 + 19 = 17 ← correct value of y


4 0
3 years ago
PLEASE HELP ME
e-lub [12.9K]

Answer:

C

Step-by-step explanation:

y < 5 and y < 2 over lap at y < 2

8 0
3 years ago
Write an equation in slope-intercept form of the line that passes through the given point and is parallel to the graph of the gi
scoundrel [369]

The given equation is y + 2 = 4(x - 1)

The equation of the parallel line in the slope-intercept form is y = 4x - 7

Step-by-step explanation:

Parallel lines have

  • Same slopes
  • Different y-intercepts

The slope-intercept form of the equation of a line is y = mx + b, where m is the slope of the line and b is the y-intercept

∵ The equation of the given line is y + 2 = 4(x - 1)

- Change its form to slope-intercept form to find its slope

∵ y + 2 = 4(x) - 4(1)

∴ y + 2 = 4x - 4

- Subtract 2 from both sides

∴ y = 4x - 6

- Compare it with the slope-intercept form to find m

∵ the slope-intercept form is y = mx + b

∴ m = 4

∵ The parallel lines have same slopes

∴ The slope of the parallel line is 4

- Substitute it in the form of the equation

∴ The equation of the parallel line is y = 4x + b

- To find b substitute x and y in the equation by the

   coordinates of a point on the line

∵ The parallel line passes through point (1 , -3)

∴ x = 1 and y = -3

∵ -3 = 4(1) + b

∴ -3 = 4 + b

- Subtract 4 from both sides

∴ -7 = b

∴ The equation of the parallel line is y = 4x + (-7)

∴ The equation of the parallel line is y = 4x - 7

The equation of the parallel line in the slope-intercept form is y = 4x - 7

Learn more:

You can learn more about the linear equations in brainly.com/question/4152194

#LearnwithBrainly

4 0
4 years ago
How to solve 2x+12 when x=-14
MariettaO [177]
If x = -14, substitute the x back into the equation.

so now the equation is 2(-14) + 12. multiply the 2 by -14 first to get -28 + 12.
add those two together to get -16. hope this helps!
6 0
3 years ago
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