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3 years ago

Which system of inequalities is shown in the graph?

Mathematics

1 answer:

kirill [66]3 years ago

8 0

Answer:

Step-by-step explanation:

because when i dentify graph theres y an x

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Find two positive numbers satisfying the given requirements. the product is 192 and the sum of the first plus three times the se

Zepler [3.9K]

<h3>Given</h3>

Two positive numbers x and y such that xy = 192

The values that minimize x + 3y

<h3>Solution</h3>

y = 192/x . . . . . solve for y

f(x) = x + 3y

f(x) = x + 3(192/x) . . . . . the function we want to minimize

We can find the x that minimizes of f(x) by setting the derivative of f(x) to zero.

... f'(x) = 1 - 576/x² = 0

... 576 = x² . . . . . . . . . . . . multiply by x², add 576

... √576 = x = 24 . . . . . . . take the square root

... y = 192/24 = 8 . . . . . . . find the value of y using the above equation for y

The first number is 24.

The second number is 8.

6 0

4 years ago

Rectangle WXYZ was dilated to create W'X'Y'Z'. Point G is the center of dilation. Rectangle W X Y Z was dilated to create smalle

lys-0071 [83]

Answer:

0.5 units

Step-by-step explanation:

The dilation factor is ...

(GZ')/(GZ) = (GZ')/(GZ' +Z'Z) = 1.5/(1.5 +7.5) = 1/6

Side WX is 3 units, so side W'X' is (1/6)(3 units) = 1/2 units

W'X' is 0.5 units.

4 0

3 years ago

Read 2 more answers

Ruth bought cupcakes for her sister's birthday party. 14 cupcakes had sprinkles on top. The other 21 cupcakes did not have sprin

laiz [17]

Answer:

40%

Step-by-step explanation:

total cupcakes: 14+21 = 35

Percentage with sprinkles = sprinkles / total

= 14/35

=.4

= 40 %

4 0

3 years ago

Read 2 more answers

A person's blood glucose level and diabetes are closely related. Let x be a random variable measured in milligrams of glucose pe

irina1246 [14]

Answer:

The probability that x is between 60 and 110.

P(60 < x<110) = 0.6436

Step-by-step explanation:

Step( i ) :-

Given data the random variable 'X' will have a distribution that is approximately normal with mean μ = 83 and standard deviation σ = 27.

Mean of the Population 'μ' = 83

Standard deviation of the Population 'σ' = 27.

Step(ii):-

Given X =60

$Z_{1} = \frac{x-mean}{S.D} = \frac{60-83}{27} = -0.851$

Step(iii):-

Given X = 110

$Z_{1} = \frac{x-mean}{S.D} = \frac{110-83}{27} = 1$

The Probability that between 60 and 110

P(60 < x<110) = P( -0.851 < z< 1)

= P( Z≤1) - P(Z≤ -0.851)

= (0.5 + A(1)) - (0.5- A(-0.851))

= (0.5 +0.3413)- (0.5 - 0.3023) ( check normal table yellow mark)

= 0.8413 - 0.1977

P(60 < x<110) = 0.6436

Final answer:-

The probability that x is between 60 and 110.

P(60 < x<110) = 0.6436

3 0

3 years ago

Number 1 and 2 to lease help

Leno4ka [110]

Answer:

1.y=0.5x

2.y=2x+1

Step-by-step explanation:

slope = y2-y1/x2-x1

y-y1=slope(x-x1)

4 0

3 years ago