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3 years ago

50% of all the cakes Jenny baked that week were party cakes,

Mathematics

1 answer:

Artist 52 [7]3 years ago

4 0

Let the fraction be 5/5
remaining= 50%*5/5-1/5= 2.5/5-1/5=1.5/5
percentage =1.5/5*100=30%

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The sum of two positive numbers is 12. what two numbers will maximize the product g

son4ous [18]

Given two numbers x and y such that:

x + y = 12 ... (1)

two numbers will maximize the product g

from equation (1)

y = 12 - x

Using this value of y, we represent xy as

xy = f(x)= x(12 - x)

f(x) = 12x - x^2

Differentiating the above function:

f'(x) = 12 - 2x

Maximum value of f(x) occurs at point for which f'(x) = 0.

Equating f'(x) to 0 we get:

12 - 2x = 0

2x = 12

> x = 12/2 = 6

Substituting this value of x in equation (2):

y = 12 - 6 = 6

Therefore, value of xy is maximum when:

x = 6 and y = 6

The maximum value of xy = 6*6 = 36

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3 years ago

Under a dilation, triangle A(2,2), B(2,0), C(4,0) becomes A'(8,8), B'(8,0), C'(16,0).

PIT_PIT [208]

Answer:

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2 years ago

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yaroslaw [1]

Answer:

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3 years ago

Solve 3x2 = −12x − 15. x = −4 ± 2i x = −4 ± i x = −2 ± 2i x = −2 ± i

diamong [38]

ANSWER

$x = - 2 \pm i$

EXPLANATION

We use the method of completing the squares.

The equation is
$3 {x}^{2} = - 12x - 15$

We rewrite the above equation to obtain;

$3 {x}^{2} + 12x = - 15$

We divide through by 3 to obtain;

${x}^{2} + 4x = - 5$

We add half the coefficient of
$x$

to both sides of the equation to get,

${x}^{2} + 4x + {2}^{2} = - 5 + {2}^{2}$

The right hand side is now a perfect square.

${(x + 2)}^{2} = - 1$

We now take square root of both sides to get;

$x + 2 = \pm \sqrt{ - 1}$

We add -2 to both sides,

$x = - 2 \pm \sqrt{ - 1}$

We simplify to obtain,

$x = - 2 \pm i$

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3 years ago

Write the word sentence as an inequality. Then solve the inequality.

skelet666 [1.2K]

3-x15 ?? Or 3-x+15 I’m not so sure I’m really bad at this but I really want to try to help I’m sorry if u got it wrong it would be my fault sorry

5 0

3 years ago