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saveliy_v [14]
3 years ago
5

2x – 3 > -4x + 2 What is the solution to the inequality

Mathematics
1 answer:
bagirrra123 [75]3 years ago
4 0

Answer:

x>\frac{5}{6}

Step-by-step explanation:

2x-3>-4x+2

Add 3 to both sides

2x-3+3>-4x+2+3

Simplify

2x>-4x+5

Add 4x to both sides

2x+4x>-4x+5+4x

Simplify

6x>5

Divide both sides by 6

\frac{6x}{6} >\frac{5}{6}

Simplify

x>\frac{5}{6}

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What place value was the number rounded<br> .546 to .55
tatyana61 [14]
The hundredths place value was rounded.
5 0
4 years ago
Using the feasible region below, determine which x and y values will maximize the profit, P, in the equation P = 40x + 55y * 1 p
Kay [80]

Answer:

B (300, 400)

Step-by-step explanation:

The profit maximization will be when the sum of the products will be greater. The maximum profit will be when x is 300 and y is 400. If we put in the equation :

P = 40x + 55 y

A - When x =  0 , y = 500

P = [40 * 0] + [55 * 500]

P = 27500

B -

When x =  300 , y = 400

P = [40 * 300] + [55 * 400]

P = 34000

C -

When x =  380 , y = 200

P = [40 * 380] + [55 * 200]

P = 26200

D -

When x =  400 , y = 0

P = [40 * 400] + [55 * 400]

P = 16000

7 0
3 years ago
Write the equation in slope-intercept form.<br> 5x + 3y = 11
pshichka [43]

Answer:

y = -5/3 x + 11/3

Step-by-step explanation:

5x +3y = 11

3y = 11 - 5x

y = -5/3 x + 11/3

8 0
3 years ago
Three consecutive integers add up to 51. What are these integers​
kaheart [24]

Let the three consecutive integers be x, x+1 and x+2.

According to the question, x+x+1+x+2=51

=>3x+3=51

=>3x+3-3=51-3

=>3x=48

=>x=16

Hence, first integer = 16,

second integer = 16 + 1 = 17 and

third integer = 16 + 2 = 18.

3 0
3 years ago
If preimage is (0, 1) . (4, 0), (4, 1) , what are the points after a translation of 3 units up and then a reflection over the -a
yulyashka [42]

Answer:

(0, 4) (-4, 3) (-4, 4)

Step-by-step explanation:

Translation rules:

Units UP - Add to the y-coordinate.

Units DOWN - Subtract from the y-coordinate.

Units RIGHT - Add to the x-coordinate.

Units LEFT - Subtract from the x-coordinate.

--------------------------------------------------------------------------------------------------------------

In this case, the word problem is asking for the points after a translation of 3 units up.

(x, y+3)

(0,1) → (0,4)

(4,0) → (4,3)

(4,1) → (4,4)

--------------------------------------------------------------------------------------------------------------Now it's time to reflect the new points over the y-axis.

When reflecting over the y-axis, the y-coordinate remains the same, but the x-coordinate becomes the opposite value. (-x, y)

(0,4) → (0,4)

(4,3) → (-4,3)

(4,4) → (-4,4)

3 0
3 years ago
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