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3 years ago

13

How would I graph this and find the solution to this system. y=-1/2x+4

1 answer:

Lesechka [4]3 years ago

5 0

Answer: Easy, graph and solution

Step-by-step explanation: First what you want to do use the slope intercept form to find the slope and y intercept; -1/2 and y intercept (0,4). Any line can be graphed using 2 points. Select two x values, plug them into the equation to find the corresponding y values. Solution

1.) Step; x and y

Table:

0║4

8║0

All you had to do is divide 0=-x/2 +4= . (8) For the x intercept you get 8and for y you get 4 because you divided 0=-0/2+4

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A cylinder has a base with a radius of 5 cm and a height of 15 cm. What is the volume of the cylinder? (Use π = 3.14.) A. 471 cm

eduard

The formula for volume is
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We plug in:
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$=\pi (25)(15)$
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3 years ago

Which is greater the greatest whole number with 4 digits or the least whole number with 5 digits

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3 years ago

A tv programme begins at 7:45 and ends 50 minutes later what time does it finish

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3 years ago

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find three consecutive odd integers such that the sum of the smallest number and middle number is 27 less than 3 times the large

katrin2010 [14]

A generic odd number can be written as

$2k+1,\quad k \in \mathbb{Z}$

Since there is an odd number every two numbers, three consecutive odd numbers will be

$2k+1,\quad 2k+3,\quad 2k+5$

Now let's make up the equations: the sum of the first two is

$(2k+1)+(2k+3)$

And 27 less than 3 times the largest is

$3(2k+5)-27$

These two must be the same, so we have

$(2k+1)+(2k+3)=3(2k+5)-27 \iff 4k+4 = 6k+30-27 \iff 4k+4=6k+3$

Subtracting 4k and 3 from both sides gives

$1=2k \iff k=\dfrac{1}{2}$

Which means that the problem has no solution.

To confirm this hypothesis, we can observe that, on the left hand side, we have the sum of two odd numbers, which is even

On the right hand side, we have an odd number, multiplied by 3 (still odd), take away 27 (still odd).

So, the left hand side is even, and the right hand side is odd. They can't be the same number.

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4 years ago