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3 years ago

Solve -3n + 4 ≥ -8. n ≥ 4 n ≤ 4 n ≥ -4 n ≤ -4

Mathematics

2 answers:

d1i1m1o1n [39]3 years ago

7 0

Answer:

n ≤ 4

Step-by-step explanation:

-3n + 4 ≥ -8.

Subtract 4 from each side

-3n + 4-4 ≥ -8-4

-3n ≥ -12

Divide by -3 on each side, remembering to flip the inequality

-3n/-3 ≤ -12/-3

n≤4

pentagon [3]3 years ago

7 0

-3n + 4 ≥ -8 Subtract 4 on both sides

-3n + 4 - 4 ≥ - 8 - 4

-3n ≥ - 12 Divide -3 on both sides to get "n" by itself

n ≤ 4 (when you multiply or divide a negative number on both sides of the inequality, you flip the sign(< > ≤ ≥))

The 2nd option is your answer

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Julia is allowed to watch no more than 5 hours of television a week. So far this week, she has watched 1.5 hours. Write and solv

Leona [35]

The inequality is used to solve how many hours of television Julia can still watch this week is $x + 1.5 \leq 5$

The remaining hours of TV Julia can watch this week can be expressed is 3.5 hours

<h3>Solution:</h3>

Given that Julia is allowed to watch no more than 5 hours of television a week

So far this week, she has watched 1.5 hours

To find: number of hours Julia can still watch this week

Let "x" be the number of hours Julia can still watch television this week

"no more than 5" means less than or equal to 5 ( ≤ 5 )

Juila has already watched 1.5 hours. So we can add 1.5 hours and number of hours Julia can still watch television this week which is less than or equal to 5 hours

number of hours Julia can still watch television this week + already watched ≤ Total hours Juila can watch

$x + 1.5 \leq5$

Thus the above inequality is used to solve how many hours of television Julia can still watch this week.

Solving the inequality,

$x + 1.5 \leq5\\\\x \leq 5 - 1.5\\\\x \leq 3.5$

Thus Julia still can watch Television for 3.5 hours

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3 years ago

Determine the measure of ZUXW in the diagram. 66° 57° The measure of LUXW is

Andrei [34K]

Answer:

the measure of <UXW is 57°

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3 years ago

A rectangle has a height of 555 and a width of x^2+2x 2 +2x, squared, plus, 2. Express the area of the entire rectangle. Express

Fantom [35]

Answer:

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Step-by-step explanation:

If the height is 555 and the width is, as you say in your comment, x², then the area is the multiplication of that.

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3 years ago

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dezoksy [38]

Answer:

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Step-by-step explanation:

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3. Rhombus KLMN with vertices K(-3, 2), L(1, 4), and N(-5, -2): (x,y) → (x+2, y-5)

Art [367]

The translated vertices of the rhombus are: K(-1,-3), L(3,-1), M(1,-5) and N(-3,-7)

The rhombus is a parallelogram which has all sides equal. the diagonals of a rhombus bisect at right angles. the difference between a rhombus and a square is that none of the angles of a rhombus are 90°.

To translate a figure with given co-ordinates into another figure with a particular translation we simply add or subtract the given values from the coordinates of the available points.

Given co-ordinates of Rhombus are K(-3, 2),L(1, 4),M(-1 ,0)and N(-5, -2).

The translation is given as (x,y) → (x+2, y-5)

So we calculate the coordinates as:

The translated co-ordinate K(-3, 2)→ K'(-1,-3)

The translated co-ordinate L(1, 4)→ L'(3,-1)

The translated co-ordinate M(-1 ,0)→ M'(1,-5)

The translated co-ordinate N(-5, -2)→ N'(-3,-7)

Hence the co-ordinates of rhombus translated by (x,y) → (x+2, y-5) are K(-1,-3), L(3,-1), M(1,-5) and N(-3,-7).

To learn more about Rhombus visit:

brainly.com/question/27870968

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2 years ago