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3 years ago

Solve the compound inequality 9x ≤ –27 or 4x ≥ 36.

Mathematics

1 answer:

leva [86]3 years ago

3 0

Answer:

x ≤ – 3 or x ≥ 9.

Step-by-step explanation:

Given : 9x ≤ –27 or 4x ≥ 36.

To find : Solve the compound inequality.

Solution : We have given 9x ≤ –27 or 4x ≥ 36.

For 9x ≤ –27 .

On dividing both sides by 9.

x ≤ – 3.

For , 4x ≥ 36.

On dividing both sides by 4.

x ≥ 9.

We can write x ≤ – 3 or x ≥ 9.

Therefore, x ≤ – 3 or x ≥ 9.

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What is the equation of this line in standard form? 8x−7y=−25 8x−9y=23 8x−9y=−23 9x−8y=23 Number graph ranging from negative fiv

Gnoma [55]

Answer:

The equation of line is:

$8x-9y=-23$

Step-by-step explanation:

We are given that a graph is a that passes through two points:

$(-4,-1)$ and $(\dfrac{1}{2},3)$

We know that the equation of line passing through two points:

$(a,b)$ and $(c,d)$ is given by:

$y-b=\dfrac{d-b}{b-a}\times (x-a)$

Here we have:

$(a,b)=(-4,-1)$ and $(c,d)=(\dfrac{1}{2},3)$

Hence, the equation of line is:

$y-(-1)=\dfrac{3-(-1)}{\dfrac{1}{2}-(-4)}\times (x-(-4))\\\\y+1=\dfrac{3+1}{\dfrac{1}{2}+4}\times (x+4)\\\\y+1=\dfrac{4}{\dfrac{9}{2}}\times (x+4)\\\\y+1=\dfrac{4\times 2}{9}\times (x+4)\\\\y+1=\dfrac{8}{9}\times (x+4)\\\\9\times (y+1)=8\times (x+4)\\\\9y+9=8x+8\times 4\\\\9y+9=8x+32\\\\8x-9y=9-32\\\\8x-9y=-23$

Hence the equation of line is:

$8x-9y=-23$

5 0

3 years ago

#14 i

ivann1987 [24]

Answer:

Incorrect/No

Step-by-step explanation:

7x2=14

-7x2=-14

<u>Follow the below guidelines:</u>

A positive number times a positive number is a positive number
A negative number times a positive number is a negative number
A positive number times a negative number is a negative number
A negative number times a negative number is a positive number

Looking at the last one, we see that -2x-7=14, a positive number

Hope this helps!

--Applepi101

7 0

3 years ago

10. Write an equation in point-slope form and slope-intercept form for the line.

olga2289 [7]

We can use the points (2, -2) and (4, -1) to solve.

Slope formula: y2-y1/x2-x1

= -1-2/4-(-2)

= -3/6

= -1/2

Point slope form: y - y1 = m(x - x1)

y - 2 = -1/2(x + 2)

Solve for y-intercept.

-2 = -1/2(2) + b

-2 = -1 + b

-2 + 1 = -1 + 1 + b

-1 = b

Slope Intercept Form: y = mx + b

y = -1/2x - 1

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5 0

3 years ago

Aditi bought 20 apples at Rs 25 each and sold them at Rs 32 each. What is her total profit?

Lelechka [254]

Answer: 140

Step-by-step explanation: 25x20=500

32x20=640

640-500= 140!!

4 0

1 year ago

What does the expression (x+3)(9) represent

Dominik [7]

Answer:

evaluate 9(x+3)

expand 9x+27

Step-by-step explanation:

i think i am sorry if i am wrong

3 0

2 years ago