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2 years ago

Please help me!! Due today

Mathematics

1 answer:

klasskru [66]2 years ago

6 0

Answer:

Step-by-step explanation:

y = (-1/4)x - 4 has a y-intercept of (0, -4). Place a dark dot at (0, -4).

Now we use the info from the slope, -1/4:

Starting with your pencil point on the dot (0, -4), move the pencil point 4 units to the right and then 1 unit down. You will now be at (4, -5). Place a dark dot there.

Then draw a straight, solid line through (0, -4) and (4, -5).

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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

2 years ago

-2(4-x)=12x-3 need help please

olga nikolaevna [1]

-8+2x=12x-3
Subtract 2x from both sides

-8=10x-3
Add 3 to both sides
-5=10x
Divide both sides by 10
-5/10 = x

-1/2= x

3 0

2 years ago

Which of the following World Record times from Track and Field is least

mart [117]

I think the answer is B. Or A.

7 0

1 year ago

Will make brainily Help please due soon

aksik [14]

Answer:

my wattapp number

is 7667587493

Step-by-step explanation:

I think the answer is 8

7 0

1 year ago

maria brought a blouse on sale for 20% off. the sale price was $21.76. what was the original price? round to the nearest hundred

Degger [83]

Answer: $27.20

Step-by-step explanation:

She bought a blouse for 20% off so it means that she paid 80% of the original price.We can then set up the equation

80% of x = 21.76 where x is the original price so solve for x

0.8x = 21.76

x = 27.20

Which means the original price is $27.20

4 0

2 years ago

Please help me!! Due today​

Please help me!! Due today