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Ainat [17]
3 years ago
12

Answer all the questions and give explanations for each please and i will give branilest and 50 points!

Mathematics
1 answer:
mixer [17]3 years ago
8 0

The top problem is impossible assuming the total number of people is 70 friends.

Middle problem:

2. C     3. B    4. A

Last problem:

y = 3x + 95

It is a tight fit.

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If y= 3x + 6, what is the minimum value of (x^3)(y)?
Rainbow [258]

Answer:

Given the statement: if y =3x+6.

Find the minimum value of (x^3)(y)

Let f(x) = (x^3)(y)

Substitute the value of y ;

f(x)=(x^3)(3x+6)

Distribute the terms;

f(x)= 3x^4 + 6x^3

The derivative value of f(x) with respect to x.

\frac{df}{dx} =\frac{d}{dx}(3x^4+6x^3)

Using \frac{d}{dx}(x^n) = nx^{n-1}

we have;

\frac{df}{dx} =(12x^3+18x^2)

Set \frac{df}{dx} = 0

then;

(12x^3+18x^2) =0

6x^2(2x + 3) = 0

By zero product property;

6x^2=0   and 2x + 3 = 0

⇒ x=0 and x = -\frac{3}{2} = -1.5

then;

at x = 0

f(0) = 0

and  

x = -1.5

f(-1.5) = 3(-1.5)^4 + 6(-1.5)^3 = 15.1875-20.25 = -5.0625


Hence the minimum value of (x^3)(y) is, -5.0625






3 0
3 years ago
Someone please help me with math linear equations 3x + 2y = 12
vodka [1.7K]
3x + 2y = 12
subtract 3x from both sides
2y = -3x + 12
divide all terms by 2 so that you can have only the y on the left side
y = -3/2x + 6
And that is your answer!

Hope this helped!! :)

6 0
3 years ago
The larger of two numbers is 10 less than twice the smaller number. if the sum of the two numbers is 38, find the tqo nubers
Iteru [2.4K]
Let two number A and B, and A >B

as we know A+10=2B① && A+B =38②

①-② solve that
B=16 so A=22

so, they are 16 and 22
3 0
3 years ago
Help!!! Will give brainliest to correct answer.....
zlopas [31]
I believe the answer is C.

93.53 - 21.41 = 72.12

If you simplify C, its answer becomes equivalent to the answer of the original problem:

(90 - 20) + (3 - 1) + (0.5 - 0.4) + (0.03 - 0.01)

70 + 2 + 0.1 + 0.02

72.12
7 0
3 years ago
Help me find Sample variance and standard deviation
AnnZ [28]
First, find the mean. You'll need it to compute the variance.

\bar x=\displaystyle\frac15\sum_{i=1}^5x_i=\dfrac{21+10+6+7+11}5=11

The variance of the sample is then computed with the formula

s^2=\displaystyle\dfrac1{5-1}\sum_{i=1}^5(\bar x-x_i)^2=\dfrac{(21-11)^2+\cdots+(11-11)^2}4=\dfrac{71}2=35.5

The standard deviation is the square root of the variance, so

s=\sqrt{35.5}\approx5.958
5 0
2 years ago
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