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Gnoma [55]
3 years ago
11

How do I solve for b-9-b=-18

Mathematics
1 answer:
Eva8 [605]3 years ago
5 0

Answer:

no solutions

Step-by-step explanation:

b-9-b=-18

Combine like terms

0b -9 = -18

-9 = -18

This is never true, so there are no solutions

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You are designing a rectangular poster to contain 7575 in2 of printing with a 33​-in margin at the top and bottom and a 11​-in m
erma4kov [3.2K]

Answer:

The dimensions of the rectangular poster is 15 in by 5 in.

Step-by-step explanation:

Given that, the area of the rectangular poster is 75 in².

Let the length of the rectangular poster be x and the width of the rectangular poster be y.

The area of the poster = xy in².

\therefore xy=75

\Rightarrow y=\frac{75}{x}....(1)

1 in margin at each sides and 3 in margin at top and bottom.

Then the length of printing space is= (x-2.3) in

                                                           =(x-6) in

The width of printing space is = (y-2.1) in

                                                  =(y-2) in

The area of the printing space is A =(x-6)(y-2) in²

∴ A =(x-6)(y-2)

Putting the value of y

\Rightarrow A =(x-6)(\frac{75}{x}-2)

\Rightarrow A = 87-\frac{450}{x}-2x

Differentiating with respect to x

A '= \frac{450}{x^2}-2

Again differentiating with respect to x

A''=-\frac{900}{x^3}

To find the minimum area of printing space, we set A' = 0

\therefore \frac{450}{x^2}-2=0

\Rightarrow 450 =2x^2

\Rightarrow x^2=225

\Rightarrow x=\pm 15

Now putting x=±15 in A''

A''|_{x=15}=-\frac{900}{15^3}

A''|_{x=-15}=-\frac{900}{(-15)^3}=\frac{900}{(15)^3}>0

Since at x=15 , A"<0 Therefore at x=15 , the area will be minimize.

From (1) we get

y=\frac{75}{x}

Putting the value of x

y=\frac{75}{15}

   =5 in

The dimensions of the rectangular poster is 15 in by 5 in.

4 0
3 years ago
Find the answer for x that makes this number sentence true: 2x + 9 &gt; 11
Nana76 [90]

Answer:

2 x <u>2</u> + 9 > 11

2 x 2 = 4

4 + 9 = 13

13 > 11

Therefore, x = 2.

Step-by-step explanation:

I hope this helps! ^w^

3 0
2 years ago
What is the value of x?
romanna [79]

Answer:

x=30

Step-by-step explanation:

7 0
3 years ago
Can anyone help me with this plz
inn [45]

Answer:

B.

Step-by-step explanation:

So we know right off the bat the angles ABE and CBD are congruent because of vertical angles.

Now we can look at the sides.

The ratio for 27:18 = 3:2

The ratio for 36:24 = 3:2

They check out.

That means that the answer is B. SAS

5 0
3 years ago
Which of the following graphs represents the solution to the inequality (x−2)−2≥−6 ?
sertanlavr [38]
Can u be more specific on the options? Cuz there’s nothing for ABCD.
8 0
2 years ago
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