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erica [24]
2 years ago
9

What is the final step in solving the inequality –2(5 – 4x) < 6x – 4? x < –3 x > –3 x < 3 x > 3

Mathematics
1 answer:
ivolga24 [154]2 years ago
7 0

Answer:

x > 3

Step-by-step explanation:

Given the inequality :

-2(5 – 4x) < 6x – 4

Expand the equation in bracket :

-10 + 8x < 6x - 4

Collect like terms

-10 + 4 < 6x - 8x

-6 < - 2x

Divude both sides by - 2

-6 / - 2 < - 2x / - 2

3 < x

x > 3

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What is 8/9 of 3/8?<br> A. 11/72<br> B. 2/7<br> C. 1/3<br> D. 3/7
Sedaia [141]
If you are talking about Multiplying them together then it’s 1/3 because you go 8x3
And 9x8 which makes 24/72 simply and then you get 1/3
3 0
3 years ago
Read 2 more answers
Which of the following answer choices is an equation for the circle with a center of (-2, 3) and a radius of 3?
mamaluj [8]

Answer:

A

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

Here (h, k) = (- 2, 3) and r = 3 , then

(x + 2)² + (y - 3)² = 9 ← expand left side using FOIL

x² + 4x + 4 + y² - 6y + 9 = 9  ( subtract 9 from both sides )

x² + y² + 4x - 6y + 4 = 0 → A

5 0
3 years ago
-5x - 35= -15<br> -5x = 25<br> X =
Zigmanuir [339]
X= -5 because you divide -5x by -5 to get x alone so you have to 25/-5 which is -5
3 0
3 years ago
Help please!!! I really don’t know how to do this!
AysviL [449]

Answer:

I'm going to do 1 as an example and using what I've taught you, you have to do the rest. Hope my explanation helps.

Step-by-step explanation:

We are given the points (-2, -4) and (-1, -1)

We need to find the slope.

The equation to do so is y2 - y1 / x2 - x1

lest say:

-2 is x1

-4 is y1

-1 is x2

-1 is y2

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

3/1 = 3

slope (m) = 3

We already know the y-intercept is 2

The equation of a line is y = mx + b

For this problem we just have to substitute what we already know.

y = (slope)x + y-intercept

y = 3x + 2

*TIP*

If the y-intercept is negative, let's say: b = -5  (using slope 8)

the equation will be y = 8x - 5

Hope this helps. I wish you all the best. :)

5 0
2 years ago
What value of b will cause the system to have an infinite
m_a_m_a [10]

Answer:

b=6

Step-by-step explanation:

<u><em>The correct question is</em></u>

What value of b will cause the system to have an infinite number of solutions?

y = 6x – b

–3x + 1/2y = –3

we have

y=6x-b ----->equation A

-3x+\frac{1}{2}y=-3 -----> equation B

we know that

If the system has infinite number of solutions then, the equation A must be equal to the equation B

so

isolate variable y in the equation B

-3x+\frac{1}{2}y=-3

Multiply by 2 both sides

-6x+y=-6

y=6x-6 -------> new equation B

To find out the value of b, equate equation A and equation B

6x-b=6x-6

b=6

4 0
3 years ago
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