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sp2606 [1]
3 years ago
9

The equations in this sytem were added to solve for x. What is the value of x?

Mathematics
1 answer:
svetoff [14.1K]3 years ago
5 0

The value of x would be 1.

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2. Exercise 18, 19 Page 188. Determine if the following statements are true. If a statement is true, give a proof from the defin
Roman55 [17]

Answer:

a. true b. true

Step-by-step explanation:

<em>(a) If r and s are rational numbers, then (r+s)/2 is rational. </em>

true

rational numbers can be expresed as fractions

let be r=a/b and s=c/d being a,b,c,d  integer numbers

\frac{r+s}{2} =\frac{\frac{a}{b}+\frac{c}{d} }{2} =\frac{\frac{da+bc}{bd} }{2} =\frac{da+bc}{2bd}

d.a=e is an integer number because it's the product of two integers

b.c=f is an integer number because it's the product of two integers

e+f=g  is an integer number because it's the sum of two integers

b.d=h is an integer number because it's the product of two integers

2.h=i is an integer number because it's the product of two integers

g/i=j is an integer number because it's the quotient of two integers

then

\frac{r+s}{2} =\frac{\frac{a}{b}+\frac{c}{d} }{2} =\frac{\frac{da+bc}{bd} }{2} =\frac{da+bc}{2bd}=\frac{e+f}{2h} =\frac{g}{i} =j

<em>(b) For all real numbers a and b, if a < b then a < (a+b)/2 < b</em>

true

a < (a+b)/2 < b

2a < (a+b) < 2b

lets analyze 2a < (a+b)

2a < (a+b) \\2a-a < (a+b)-a\\a < b

then 2a < (a+b) is true

lets analyze (a+b) < 2b

(a+b) < 2b\\(a+b)-b < 2b-b\\a< b

then (a+b) < 2b is true

7 0
3 years ago
Read 2 more answers
What fraction equals the whole number 6?
anastassius [24]

What fraction is equivalent to the whole number 6?

Well, any fraction which result gives you 6 is a fraction that would fulfill the requirement, I'll give you a few examples so you can grasp the idea:

6 = 6/1 = 12/2 = 18/3 = 24/4 = 30/5 = 36/6 = 42/7 = 48/8 = 54/9 = 60/10

8 0
2 years ago
A crane has cable with a breaking starin of 6400k
Sliva [168]

Answer:

The minimum amount of breaking strain the crane can handle is 6350 kg. (Since it is measured to 2 sig. figs, 6349 kg would round down to 6300 kg, hence the min. is 6350 kg.)

The maximum weight of each crate would be 94 kg. (Since it is measured to the nearest 10 kg, 95 kg would round up to 100 kg, hence the max. is 94 kg.)

Therefore, the greatest number of crates that can be safely lifted would be (6350/94) crates which is 67.5 crates, which rounded down is 67 crates.

All numbers are taken as integers in this answer.

Step-by-step explanation:

Hope this helped!

4 0
3 years ago
2) pplllllss hellppp
Dovator [93]

Answer:

A. -1 and 1/3

Step-by-step explanation:

The number -1 and 1/3 is directly to the right of -1 and 2/3 because there is a -1/3 difference between them

6 0
3 years ago
Please help, i will give brainliest
scoundrel [369]

3x+9=6x
-9 -9
—————
3x=6x-9
-6x -6x
—————
3x-6x=-9
-3x=-9
x=3

hope it helped
6 0
3 years ago
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