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finlep [7]
4 years ago
5

Solve for X and Y 6x + 3y = 33 4x + y = 15

Mathematics
1 answer:
Aleks04 [339]4 years ago
7 0
So your answer is:

y= 7, x= 2

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Solve each inequality for x. (Enter your answers using interval notation.)
olganol [36]

Answer:

(a) ln(x) = 0

Then 0 < x < 1

(b) e^x > 2

Then ln2 < x < ∞

(a) ln(3x - 17) = 5

x = 55.1377197

ln(a + b) + ln(a - b) - 5ln(c)

= ln[(a² - b²)/c^5]

Step-by-step explanation:

First Part.

(a) ln(x) < 0

=> x < e^(0)

x < 1 ....................................(1)

But the logarithm of 0 is 1, and the logarithm of negative numbers are undefined, we can exclude the values of x ≤ 0.

In fact the values of x that satisfy this inequalities are between 0 and 1.

Therefore, we write:

0 < x < 1

(b) e^x > 2

This means x > ln2

and must be finite.

We write as:

ln2 < x < ∞

Second Part.

(a) ln(3x - 17) = 5

3x - 17 = e^5

3x = 17 + e^5

x = (1/3)(17 + e^5)

= 55.1377197

Third Part.

We need to write

ln(a + b) + ln(a - b) - 5ln(c)

as a single logarithm.

ln(a + b) + ln(a - b) - 5ln(c)

= ln(a + b) + ln(a - b) - ln(c^5)

= ln[(a + b)(a - b)/(c^5)]

= ln[(a² - b²)/c^5]

3 0
3 years ago
Emma has 53 marbles.she gets some marbles from Fred.then she gives 10 marbles to tessie.she now has 58 marbles how many marbles
nata0808 [166]
53+n=(58+10)
n=15
emma got 15 marbles from fred

8 0
3 years ago
What is the estimated cubed rot of 510
Margaret [11]

Answer:

8

Step-by-step explanation:

approx. 8

As 510 lies closer to the cube of 8 which is 512

3 0
3 years ago
What does 9e+10 mean on a calculator screen
MAXImum [283]
It means that the number of your answer is too big for the screen. You may want to see if you can work the problem out on paper if you need the numbers it isnt showing you. Just make sure your answer matches the answer you got on the calculator. Minus, of course, the numbers it does not show.
6 0
4 years ago
Is there's a multiple of 1/6 between 3/6 and 4/6?
irina [24]
Lets find that out writing equations and solving them, a multiple of 1/6 is something like this (1/6)x, so we have
(1/6)x > 3/6
and
<span>(1/6)y < 4/6
</span>lets solve both equations:
<span>(1/6)x > 3/6
</span>x > 6(3/6)
x > 3

<span>(1/6)y < 4/6
</span>y < 6(4/6)
y < 4

So the number must be between 3 and 4, which is obvious, lets try with 3.5 then, that is 3 5/10 or 35/10 = 7/2 in fractional form, and lets try it out:
(1/6)(7/2) = 7/12
finally we compare with the original fractions:
1/6 < 7/12
2/12 < 7/12
So, it comply with being greater than 1/6, now lets compare with 4/6
7/12 < 4/6
<span>7/12 < 8/12
</span>therefore is also smaller than 4/6 and hence 7/12 is a multiple of 1/6 between 3/6 and 4/6
7 0
4 years ago
Read 2 more answers
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