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mrs_skeptik [129]
3 years ago
13

A carpenter makes legs for 3-legged stools and 4-legged tables. He makes a total of 57 legs.

Mathematics
2 answers:
Nataly [62]3 years ago
8 0
19 legs for 3-legged stools

Viefleur [7K]3 years ago
6 0
4 legged tables : x 3 legged stools : y x + y = 20 y= 20 - x 4x + 3y = 68 Replace y by 20 - x so we only have one letter 4x + 3(20 - x) =68 4x + 60 - 3x =68 x + 60 = 68 x = 8 To find y replace x by 8 y = 20 - 8 y = 12 So you have 8 four legged chairs and 12 three legged stools. Hope I helped!
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If limx→3f(x)=7, which of the following must be true? I. f is continuous at x = 3 II. f is differentiable at x = 3
Viktor [21]

Without knowing anything else about f(x), neither of these need be true.

Suppose

f(x)=|x-3|+7=\begin{cases}10-x&\text{for }x3\\0&\text{for }x=3\end{cases}

Then (I) isn't true because, while the limit exists as x\to3 and is equal to 7, we have f(3)=0\neq7, so f(x) is not continuous there.

(II) also true because f(x) is not differentiable at x=3; that is,

\displaystyle\lim_{x\to3^-}f'(x)=\lim_{x\to3}(10-x)'=\lim_{x\to3}(-1)=-1

but

\displaystyle\lim_{x\to3^+}f'(x)=\lim_{x\to3}(x+4)'=\lim_{x\to3}1=1

which means the derivative does not exist at x=3.

3 0
3 years ago
If a rectangle has a area of 36x^3+24x^2-18x and the width is 6x what is the length
diamong [38]

Answer:

lenght= 6 {x}^{2} + 4x - 3

Step-by-step explanation:

lenght =  \frac{area}{width}  \\  \\  =  \frac{36 {x}^{3}  + 24 {x}^{2} - 18x }{6x}  \\  \\  =  \frac{6x(6 {x}^{2} + 4x - 3) }{6x}  \\  \\  lenght= 6 {x}^{2} + 4x - 3

7 0
3 years ago
What's the number when the quotient of a number and -7 decreased by 2 is 10?
dsp73
Let's read through this and make an equation:
? ("number")
? / -7 ("quotient of a number and -7")
(? / -7) - 2 ("decreased by 2")
<span>(? / -7) - 2 = 10 ("is 10")
</span>
Now we can solve:
<span>(? / -7) - 2 = 10
</span><span>? / -7 = 12
</span>? = -84

The number is -84
3 0
4 years ago
What is the term for two fractions that are equal to each other?
ioda
Answer: Equivalent Fractions

For Example,
• 1/2 = 2/4
• 3/6 = 6/12
• 2/8 = 4/16
6 0
2 years ago
Someone plz help i need it in like 3 minutes
tamaranim1 [39]

Answer:

B

Step-by-step explanation:

A: -(3/-2)=-(-3/2)=3/2

B:3/-2=-3/2

C:-(-3/2)=3/2

D:-3/-2=3/2

8 0
3 years ago
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