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2 years ago

PLEASE HELP FAST:

Mathematics

1 answer:

just olya [345]2 years ago

7 0

I don’t know if you can even read this but make your graph points, rather than 1,2,3,4 etc. Make them 1/4,2/4,3/4,4/4, and 1/2,2/2,3/2,4/3, etc.. at least until you can plot your points. Make the numbers into mixed fractions or improper fractions whatever they call it. Make it to where the top is bigger than the bottom by multiplying the whole number by the denominator.

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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

Given the linear equation 3x + y = 5, find the slope of its graph

umka2103 [35]

Answer:

B) -3

Step-by-step explanation:

1. First you have to write the equation in slope intercept form. To do that, you must have y be alone on one side.

2. move the 3x to the right side with the 5 by subtracting 3x from both sides. Since 3x will cancel on the left, y will be left alone. $y=-3x+5$

3. Now that you're in slope intercept form, you can find the slope easily. The slope will always be the number in front of x. In this case, the number in front of x is -3. Therefore, -3 is your slope!

7 0

3 years ago

Read 2 more answers

Solve 9/10=z/8 . Round to the nearest tenth.

kompoz [17]

$\boxed {Question}$
$\frac{9}{10} = \frac{z}{8}$

$\boxed {Cross \ multiply}$
$10z = 8 \times 9$

$\boxed {Evaluate}$
$10z = 72$
$z = 72 \div 10$
$z = 7.2$

$\Longrightarrow \bf \ Answer \ : \ z = 7.2$

4 0

3 years ago

Your little brother just learned how to flip and catch a coin. He believes that by catching the coin in mid-air, he can influenc

coldgirl [10]

<h2>Answer explanation:</h2>

If a coin is fair then it has two faces , one is heads and the another is tails.

The probability getting any favorable outcomes is given by the formula :-

$\dfrac{\text{Number of favorable outcomes}}{\text{Total outcomes}}$

So the factor effecting probability is just the number of favorable outcomes and total outcomes.

If a coin is tossed then the probability of getting heads will be :-

$P(H)=\dfrac{1}{2}=0.5=50\%$

To get heads always this should be 1 , which can be happen if number of favorable outcomes is equal to total outcomes.

i.e. Number of heads = Number of total outcomes, this means coin should be biased.

Catching the coin in mid-air can never be a factor for this.

Therefore, the little brother's theory is false.

8 0

2 years ago

At a farmers market, Apples are priced at 4lbs for 10$ Raigen needs 8 pounds to make Apple pie. Which equation can be used to fi

Rasek [7]

Answer:

The equation S / 8 = 2.5

3 0

3 years ago