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Kaylis [27]
3 years ago
10

Round 285.21 to the nearest tenth

Mathematics
1 answer:
blagie [28]3 years ago
5 0
Okay when you are rounding you need to remember 5 or more you round up and 4 or less you round down. 285.21. the tenths are behind the decimal. It goes tenths, hundredths, thousandths......ect. so now we look at the number behind the place we are rounding so we look at the 1 it is less than 4 so we round down. ANSWER:285.20 or 285.2
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emmasim [6.3K]
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What is the area of a triangle with base 12.5 m and height 2.4 m
BaLLatris [955]
A = 1/2 (b x h)
A = 1/2(12.5 x 2.4)
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The cost to produce a product is modeled by the function f(x) = 5x2 − 70x 258, where x is the number of products produced. compl
ad-work [718]

The minimum cost to produce the product is $7.

What are functions?

  • A function from a set X to a set Y allocates exactly one element of Y to each element of X.

To determine the minimum cost:

We have to determine the minimum cost of producing this product.

Since f(x) = 5x^{2} -70x+258.

Now, consider the equation 5x^{2} -70x+258= 0.

Dividing the above equation by 5, we get

x^{2} -70x/5+258/5=0\\x^{2} -14x+258/5=0

Now, considering the coefficient of 'x', dividing it by '2' and then adding and subtracting the square of the number which we got after dividing.

Since the coefficient of 'x' is 14, and half of 14 is '7'.

So, adding and subtracting from the above equation.

x^{2} -14x+(7)^{2} -(7)^{2}+258/5=0\\x^{2} -14x+49 -49+258/5=0\\(x-7)^{2} -49+258/5=0\\(x-7)^{2} +258-245/5=0\\(x-7)^{2} +13/5=0\\5(x-7)^{2} +13=0

Now, we have to determine the minimum cost to produce the product.

Since f(x) = 5x^{2} -70x+258.

f'(x) = 10x-70

Now, let f'(x)=0

10x-70=0\\10x=70

Therefore, x=7

Now, consider which is greater than 0.

Therefore, x= 7 is the minimum cost.

Know more about functions here:

brainly.com/question/25638609

#SPJ4

5 0
2 years ago
The length of a rectangle is 6 yd more than twice the width x. The area is 416 yd2. Find the dimensions of the rectangle.
kati45 [8]

Answer:

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Step-by-step explanation:

A=area, l=length, w=width

A=w*l

l=6+2w

A=w*(6+2w)

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416=6w+2w^2

416/2=(6w+2w^2)/2

208=3w+w^2

208-208=3w+w^2-208

w^2+3w-208=0

w^2+16w-13w-208=0

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(w-13)(w+16)=0 ==> w+16=0 ==> w=-16, w can't be negative.

w-13=0

<u>w=13</u>

l=6+2w

l=6+2(13)

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Dimensions: 13 * 32

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Sarah answered 5% of the questions on a test incorrectly. If she answered 3 questions incorrectly, how many questions were on th
Feliz [49]
15 is the correct answer
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