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Makovka662 [10]
3 years ago
5

1. 3(x – 5) + 4x = 5(x + 3)

Mathematics
2 answers:
OLga [1]3 years ago
8 0
3(x-5) + 4x = 5(x+3)
3x-15+4x=5x+15
7x-15=5x+15
7x=5x+30
2x=30
X=15
vfiekz [6]3 years ago
3 0

Answer: x=15

Step-by-step explanation:

3(x-5)+4x=5(x+3)

distribute

3x-15+4x=5x+15

combine like terms

7x-15=5x+15

add the 15 over to the right side

7x=5x+30

minus 5x over

2x=30

divide by 2

x=15

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padilas [110]

First picture:

You got the first two right (good job!), so I'll just tackle the third one. If you have to compute f(x-4), it means that you have to substitute x-4 in place of x. Differently from the first two points, this will generate a new function, rather than a specific value:

f(x) = \sqrt{x+4}+2 \implies f(x-4) = \sqrt{(x-4)+4}+2 = \sqrt{x}+2

Second picture:

Given the point (x,y) highlighted in the picture, you can deduce that the base is 2x units long (since it spans from (-x,0) to (x,0)) and the height is y units long (because it spans from (x,0) to (x,y)). So, the area of the rectangle is the multiplication between base and height:

A = 2xy

But we know that y=f(x)=\sqrt{36-x^2}, so we have

A = 2x\sqrt{36-x^2}

The domain of this function is given by the domain of the square root: we want its argument to be non, negative, so we have

36-x^2 \geq 0 \iff x^2 \leq 36 \iff -6 \leq x \leq 6

But since the problem is symmetric, the answer is

0 \leq x \leq 6

You can only see the answer 0 < x < 6 because, if you choose x=0 or x=6, the rectangle degenerates to a segment, and your exercise doesn't like this scenario, apparently

4 0
3 years ago
Add.<br><br> −6+(−5)<br><br><br> 11<br><br> −1<br><br> −11<br><br> I don't know.
Wittaler [7]

Answer:

11

Step-by-step explanation:

-6-5

+11

Hope it is helpful

7 0
3 years ago
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Answer:

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3 years ago
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grigory [225]

Answer:

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Step-by-step explanation:

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The volume of a pyramid varies jointly with the base area of the pyramid and its height. The volume of one pyramid is 35 cubic i
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