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3 years ago

5

Ron's Factory is currently producing 30 chairs in a day. How many chairs would be produced if production is to be increased by 1

30%?

1 answer:

liq [111]3 years ago

6 0

If we increase our production by 130% then our new production is 230% of the old production

230% =230/100 = 2.3 times as many chairs

30(2.3) = 69 chairs per day

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valentinak56 [21]

Answer:

H. 3 $\frac{3}{4}$ feet

Step-by-step explanation:

Length of scale drawing = $\frac{3}{12}$ × 15feet

= 3 $\frac{3}{4}$ feet

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2 years ago

How do i solve 3x² - 8x + 2 = 0 using quadratic formula?

DENIUS [597]

$3x^2 - 8x + 2 = 0\\ \\a=3 , \ \ b=-8 , \ \ c=2 \\ \\x_{1}=\frac{-b-\sqrt{b^2-4ac}}{2a} =\frac{8-\sqrt{ (-8)^2-4 \cdot 3\cdot 2}}{2 \cdot 3} =\frac{8-\sqrt{ 64-24 }}{6} =\\ \\ =\frac{8-\sqrt{40 }}{6} = \frac{ 8-\sqrt{4\cdot 10 } }{6} = \frac{ 8-2\sqrt{ 10 }}{6} = \frac{2 (4-\sqrt{ 10 })}{6} = \frac{ 4-\sqrt{ 10 } }{3}$

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7 0

2 years ago

Read 2 more answers

For what values of x is f(x) = |x + 1| differentiable? I'm struggling my butt off for this course

pav-90 [236]

By definition of absolute value, you have

$f(x) = |x+1| = \begin{cases}x+1&\text{if }x+1\ge0 \\ -(x+1)&\text{if }x+1$

or more simply,

$f(x) = \begin{cases}x+1&\text{if }x\ge-1\\-x-1&\text{if }x$

On their own, each piece is differentiable over their respective domains, except at the point where they split off.

For <em>x</em> > -1, we have

(<em>x</em> + 1)<em>'</em> = 1

while for <em>x</em> < -1,

(-<em>x</em> - 1)<em>'</em> = -1

More concisely,

$f'(x) = \begin{cases}1&\text{if }x>-1\\-1&\text{if }x$

Note the strict inequalities in the definition of <em>f '(x)</em>.

In order for <em>f(x)</em> to be differentiable at <em>x</em> = -1, the derivative <em>f '(x)</em> must be continuous at <em>x</em> = -1. But this is not the case, because the limits from either side of <em>x</em> = -1 for the derivative do not match:

$\displaystyle \lim_{x\to-1^-}f'(x) = \lim_{x\to-1}(-1) = -1$

$\displaystyle \lim_{x\to-1^+}f'(x) = \lim_{x\to-1}1 = 1$

All this to say that <em>f(x)</em> is differentiable everywhere on its domain, <em>except</em> at the point <em>x</em> = -1.

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2 years ago

Read and follow the directions below. 1. Imagine a deck of 52 cards, ranging from twos through the face cards to aces, all in fo

mel-nik [20]

Answer: A) 30 cards

<u>Step-by-step explanation:</u>

1. 52 cards

2. subtract red suit cards: 52 - 26 = 26

3. add back the hearts: 26 + 13 = 39

4. remove the 3 remaining jacks, 3 remaining queens, & 3 remaining kings: 39 - 9 = 30

There are 30 cards remaining

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2 years ago

Which of the following are adjacent angles?

andriy [413]

Answer:

c

Step-by-step explana i think its right

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2 years ago