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SVETLANKA909090 [29]
3 years ago
12

Solve the following inequality. 4m +6<2 OR m74 > 3

Mathematics
1 answer:
Ludmilka [50]3 years ago
4 0

Step-by-step explanation:

4m + 6< 2 + 74m>3

first:

4m+6<2

4m+6-6 < 2-6

4m/4 < -2/4

m < -2

second step;

2+ 74m>3

2-2+74m >3-2

74m > -1

74m/74 > -1/74

m > -1/74

hence { m : m > -1/74 < -2}

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170 cm. The unknown length on the left is 21 cm
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Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
serg [7]

Answer:

Step-by-step explanation:

7 0
2 years ago
The square of a number minus six times a number equals negative five.
olga_2 [115]

Answer:

x² - 6x = -5

x = {1, 5}

Step-by-step explanation:

The square of a number minus six times a number equals negative five.

x² - 6x = -5

Add 5 to both sides

x² - 6x + 5 = 0

Factor

(x - 1)(x - 5) = 0

x = {1, 5}

3 0
2 years ago
Read 2 more answers
Write a formula that will yield the nth term of the sequence: 3,-2,-7,-12
RUDIKE [14]

Answer:

-5n + 8

Step-by-step explanation:

<u>1. What is the difference?</u>

  The sequence goes down by 5. This means that the formula will have -5n in it.

<u>2. Work out the term before the first term.</u>

    The first term is 3, and we know that the sequence goes up by 5. So, to get the term before 3 we would add 5.

3 + 5 = 8   Remember, this is positive 8. (+8)

<u>3. Put that term at the end of the equation. </u>

   We have -5n already and we just worked out the term before the first one which is positive 8 - so put that at the end of the equation.

-5n + 8  This is our answer!

Just to prove it works:

<em>Substitute:   n = term</em>

Lets see if we can get the 3rd term which is -7. (n = 3)

-5(3) + 8

-15 + 8 = -7

See, it works!

8 0
3 years ago
Options: <br> y= -2x - 6<br> y= 2/3x + 6<br> y= -2/3x + 6<br> y=2x + 6
melisa1 [442]

Answer:

y = - \frac{2}{3} x + 6

Step-by-step explanation:

The equation of a line in slope- intercept form is

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

Calculate m using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = (0, 6) and (x₂, y₂ ) = (6, 2) ← 2 points on the line

m = \frac{2-6}{6-0} = \frac{-4}{6} = - \frac{2}{3}

The line crosses the y- axis at (0, 6) ⇒ c = 6

y = - \frac{2}{3} x + 6 ← equation of line

8 0
2 years ago
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