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marta [7]
3 years ago
10

Y+2x=7 and x=3+y Solve each system of equations using substitution

Mathematics
1 answer:
Alex3 years ago
4 0

Answer:

y+2x=7 (1)

x=3+y (2)

Replace x = 3+y (2) into (1) => y+2(3+y) = 7

=> y = 1/3 and x = 3+1/3 =10/3

Step-by-step explanation:

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12,17, 22, ...<br> Find the 35th term.
katrin [286]

Answer:

187?

Step-by-step explanation:

8 0
3 years ago
2/3 -4x + 7/2 = -9x + 5/6
kirza4 [7]

Answer:

Step-by-steplanation:

Add: 1

2

+ 2

5

= 1 · 5

2 · 5

+ 2 · 2

5 · 2

= 5

10

+ 4

10

= 5 + 4

10

= 9

10

For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of the both denominators - LCM(2, 5) = 10. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 2 × 5 = 10. In the next intermediate step the fraction result cannot be further simplified by cancelling.

In words - one half plus two fifths = nine tenths.

Conversion a mixed number 6 2

7

to a improper fraction: 6 2/7 = 6 2

7

= 6 · 7 + 2

7

= 42 + 2

7

= 44

7

To find new numerator:

a) Multiply the whole number 6 by the denominator 7. Whole number 6 equally 6 * 7

7

= 42

7

b) Add the answer from previous step 42 to the numerator 2. New numerator is 42 + 2 = 44

c) Write previous answer (new numerator 44) over the denominator 7.

Six and two sevenths is forty-four sevenths

Add: the result of step No. 1 + 44

7

= 9

10

+ 44

7

= 9 · 7

10 · 7

+ 44 · 10

7 · 10

= 63

70

+ 440

70

= 63 + 440

70

= 503

70

For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of the both denominators - LCM(10, 7) = 70. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 10 × 7 = 70. In the next intermediate step the fraction result cannot be further simplified by cancelling.

In words - nine tenths plus forty-four sevenths = five hundred three seventieths.

3 0
3 years ago
Omg y'alls! MOre MaTh, and it is the LAST OF IT!
BARSIC [14]

Answer:

non-linear and increasing.

Step-by-step explanation:

We know it is non-linear simply because it is not a straight line. And the numbers in the equations tell us it is increasing not deceasing.

4 0
3 years ago
Read 2 more answers
M-2&lt;-8 or m/8&gt;1<br>I don't know how to solve this
Shkiper50 [21]
I hope this helps you

5 0
3 years ago
Differentiating a Logarithmic Function in Exercise, find the derivative of the function. See Examples 1, 2, 3, and 4.
Leni [432]

Answer:  \dfrac{2x^2-1}{x(x^2-1)}

Step-by-step explanation:

The given function : y=\ln(x(x^2 - 1)^{\frac{1}{2}})

\Rightarrow\ y=\ln x+\ln (x^2-1)^{\frac{1}{2}}    [\because \ln(ab)=\ln a +\ln b]

\Rightarrow y=\ln x+\dfrac{1}{2}\ln (x^2-1)}  [\because \ln(a)^n=n\ln a]

Now , Differentiate both sides  with respect to x , we will get

\dfrac{dy}{dx}=\dfrac{1}{x}+\dfrac{1}{2}(\dfrac{1}{x^2-1})\dfrac{d}{dx}(x^2-1) (By Chain rule)

[Note : \dfrac{d}{dx}(\ln x)=\dfrac{1}{x}]

\dfrac{1}{x}+\dfrac{1}{2}(\dfrac{1}{x^2-1})(2x-0)

[ \because \dfrac{d}{dx}(x^n)=nx^{n-1}]

=\dfrac{1}{x}+\dfrac{1}{2}(\dfrac{1}{x^2-1})(2x) = \dfrac{1}{x}+\dfrac{x}{x^2-1}\\\\\\=\dfrac{(x^2-1)+(x^2)}{x(x^2-1)}\\\\\\=\dfrac{2x^2-1}{x(x^2-1)}

Hence, the derivative of the given function is \dfrac{2x^2-1}{x(x^2-1)} .

8 0
4 years ago
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