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3 years ago

Cardinalul mulţimii A={ x  IN / x + 2 < 7 } este : a) 3 b) 4 c) 5 d) 6.

Mathematics

1 answer:

ludmilkaskok [199]3 years ago

4 0

A few minutes ago he said that he had

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In the coordinate plane, the directed line segment from K to N has endpoints at K(–6, –2) and N(8, 3). Point L partitions the di

Dafna1 [17]

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3 years ago

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Annika borrowed a book from the library and forgot to return it on time, the library charges .25 per day for the first four days

Delicious77 [7]

So work it out as 0.25x4 =£1
Then 4-1=£3
£3 / 0.30 =10
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So it is 14 days late

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3 years ago

What is the completely factored form of the expression 16X2 +18X+32

lina2011 [118]

ANSWER

$2(8 {x}^{2} + 9x + 16)$

EXPLANATION

The given expression is

$16 {x}^{2} + 18x + 32$

The greatest common factor is 2.

We factor 2 to obtain:

$2(8 {x}^{2} + 9x + 16)$

The expression in the parenthesis is prime.

This means that the quadratic expression in the parenthesis cannot be factored.

Hence the completely factored form is:

$2(8 {x}^{2} + 9x + 16)$

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4 years ago

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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

A firm buys 12 file cabinets at $140 each, with payment in full due in 90 days. How much must the firm deposit now to have enoug

anyanavicka [17]

Answer:

firm deposit is $1667.50

Step-by-step explanation:

given data

buys 12 file = $140

time = 90 days

interest = 3%

solution

we get here return on money over 90 day period is

we know Return on 360 days = 3%

return on money over 90 day = 3% ÷ 4 = 0.75%

we consider here required amount = x

$140 × 12 = x (1+0.0075)

x = $\frac{1680}{1+0.0075}$

x = 1667.50

so firm deposit is $1667.50

3 0

3 years ago