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hjlf
2 years ago
12

40 points and brainliest

Mathematics
1 answer:
Alexeev081 [22]2 years ago
7 0
9. x < −17

10. x < 6

11. 10 < x < 21

12. Move all terms not containing x from the center section of the inequality. No solution.

13. −3 < x < 3

Please give brainliest I worked hard.
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Ben wrote a check for $52 that was more than his account balance. The bank charges $25 for bounced checks and the local business
MrRa [10]
$97

This is because he will owe the amount of the check $52, plus he will also owe the two fees which will total $45
7 0
2 years ago
Read 2 more answers
M is the midpoint of AN, A has coordinates (-6, -6) and M has coordinates (1, 2). Find the coordinates of N.
Cloud [144]
The midpoint, M, of points A and N is (8,10) because;
Point A is (-6,-6) which has a slope of 8/7 (rise/run) with M, (1,2). So, if 8/7 is repeated/ added to M, it will be point N.
1+7=8 (run/x)
2+8=10 (rise/y)
Put x and y together to get (8,10).
N= (8,10).
5 0
2 years ago
Find the dimensions of the open rectangular box of maximum volume that can be made from a sheet of cardboard 11 in. by 7 in. by
11111nata11111 [884]

Answer:

The dimension of the open rectangular box is 8.216\times 4.216\times 1.392.

The volume of the box is 8.217 cubic inches.

Step-by-step explanation:

Given : The open rectangular box of maximum volume that can be made from a sheet of cardboard 11 in. by 7 in. by cutting congruent squares from the corners and folding up the sides.

To find : The dimensions and the volume of the open rectangular box ?

Solution :

Let the height be 'x'.

The length of the box is '11-2x'.

The breadth of the box is '7-2x'.

The volume of the box is V=l\times b\times h

V=(11-2x)\times (7-2x)\times x

V=4x^3-36x^2+77x

Derivate w.r.t x,

V'(x)=4(3x^2)-2(36x)+77

V'(x)=12x^2-72x+77

The critical point when V'(x)=0

12x^2-72x+77=0

Solve by quadratic formula,

x=\frac{18+\sqrt{93}}{6},\frac{18-\sqrt{93}}{6}

x=4.607,1.392

Derivate again w.r.t x,

V''(x)=24x-72

Now, V''(4.607)=24(4.607)-72=38.568>0 (+ve)

V''(1.392)=24(1.392)-72=-38.592 (-ve)

So, there is maximum at x=1.392.

The length of the box is l=11-2x

l=11-2(1.392)=8.216

The breadth of the box is b=7-2x

b=7-2(1.392)=4.216

The height of the box is h=1.392.

The dimension of the open rectangular box is 8.216\times 4.216\times 1.392.

The volume of the box is V=l\times b\times h

V=8.216\times 4.216\times 1.392

V=48.217\ in.^3

The volume of the box is 8.217 cubic inches.

5 0
3 years ago
If ∠1 and ∠2 are vertical angles and m∠2=108°, find m∠1.
marysya [2.9K]

Answer:

72

Step-by-step explanation:

Is it 72???

5 0
2 years ago
Please help me!!! 30 points, will report for ridiculous responses.
Bumek [7]

Answer:

The value of an exterior angle is the sum of the two interior angles not adjacent to it so

a:

x = 64 + 45 = \boxed{109}

b:

3x + 6 = 153 so

3x = 147 so

x = \boxed\boxed{49}

3 0
3 years ago
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