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9966 [12]
2 years ago
7

What is the solution to the inequality lx-4l=3

Mathematics
1 answer:
xxMikexx [17]2 years ago
8 0

Answer: x = 7, x = 1

Step-by-step explanation:

|x-4| = 3

we know either x-4 = 3 or x-4 = -3

x-4 + 4 = 3 + 4

x = 7

x - 4 + 4 = -3 + 4

x = 1

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When a jug is half-filled with marbles, it weighs 2.6 kg. If the jug weighs 4 kg when full, find the weight of the empty jug.
Fittoniya [83]

Answer:

1.2 kg

Step-by-step explanation:

filling the jug up half way adds 1.4 kg to the weight.

2 x 1.4 - 2.8 kg of marbles when full

4-2.8 = 1.2 kg

8 0
3 years ago
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URGENT PLEASE convert y = -5/6x -9 to standard slope form
SpyIntel [72]

Answer:

6y + 5x = -54  

Step-by-step explanation:

y = m x + b -> slope-intercept form

ax + by = c -> standard form

y = - \frac{5}{6} x - 9

6y = -5x - 54

6y + 5x = -54  

3 0
3 years ago
What is in math<br> -9y+6=-10y
Alexxx [7]

Answer:

y= -6

Step-by-step explanation:

-9y+6=-10y

+10y. +10y

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-6. -6

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4 0
3 years ago
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A swim coach has at most $800 to buy equipment for the swim team. Each pull buoys costs $5.50 and each kickboard costs $10. Let
olga2289 [7]

Answer:

  A)  5.50x + 10y ≤ 800

  B)  yes

  C)  no

  D)  80 pull buoys and 35 kick boards

Step-by-step explanation:

A) The sum of costs must not exceed the budget:

  5.50x +10.00y ≤ 800

__

B) 5.50(0) +10.00(50) = 500 ≤ 800 . . . . . yes, the coach could buy these

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C) 5.50(125) +10.00(25) = 937.50 > 800 . . . no, they cost too much

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D) The point (80, 35) is in the solution space. The coach could buy 80 pull buoys and 35 kick boards.

7 0
3 years ago
Solve the following quadratic equation by factorisation method 3 x square - 2 root 6 × + 2 =0​
frozen [14]
3x^2 -2root(6)x + 2 = 0

(root(3)x)^2 -2[root(3)x]root(2)+ (root(2))^2 = 0

let a = root(3)x and b = root(2)

a^2 -2ab + b^2 = 0

(a - b)^2 = 0

by the null factor rule,

a - b = 0

sub back in a and b

root(3)x = root(2)

x = root(3)/root(3)
6 0
3 years ago
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