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Nata [24]
2 years ago
15

Questions:

Mathematics
1 answer:
My name is Ann [436]2 years ago
7 0

The  solution to the expressions given are;

9 -9t/ 12 - 5t

a. 20/ 169

b. -170/ 169

c.  386/ 169

d.  -10/ 169

<h3>How to solve the expressions</h3>

Given:

\frac{9 - 19t}{12 - 5t}

We can see that both variables in the numerator and denominator have no common factor, thus cannot be factorized further

a. \frac{203}{169} - \frac{183}{169}

First, let's find the lowest common multiple

LCM = 169

= \frac{203 - 183}{169}

= \frac{20}{169}

= 20/ 169

b. \frac{13}{119} - \frac{183}{119}

The lowest common multiple is 119

= \frac{13 - 183}{119}

substract the numerator

= - 170/ 119

c. \frac{203}{169} - \frac{183}{169}

The lowest common multiple is 169

= \frac{203 + 183}{169}

= 386/ 169

d. \frac{9}{169}- \frac{19}{169}

The lowest common multiple is 169

= \frac{9 - 19}{169}

= - 10/ 169

Thus, we have the solutions to be 9 -9t/ 12 - 5t, 20/ 169, -170/ 169, 386/ 169, -10/ 169 respectively.

Learn more about LCM here:

brainly.com/question/12732917

#SPJ1

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If 3/4 is the dividend and -2/5 is the divisor then what is the quotient ?
Alexxx [7]

Answer:

\dfrac{-15}{8}

Step-by-step explanation:

<h3>Fraction division:</h3>

\sf \dfrac{3}{4} \ \div \dfrac{-2}{5}

 Use KCF method.

  • Keep the first fraction.
  • Change division to multiplication
  • Flip the second fraction.

       \sf \dfrac{3}{4} \ \div \dfrac{-2}{5}=\dfrac{3}{4}*\dfrac{-5}{2}

                      \sf = \dfrac{3*(-5)}{4*2}\\\\ =\dfrac{-15}{8}

4 0
1 year ago
The graph of a system of equations is shown below.which ordered pair is the best estimate for the solution to the system of equa
ivanzaharov [21]

Answer:

B. (-3, 2)

Step-by-step explanation:

The solution is given by the coordinates of the point where the lines intersect.

From the graph we see that it is  the point where x = -3 and y = 2.

5 0
3 years ago
Read 2 more answers
Question 15 and Question 18 antidifferentiate?
soldi70 [24.7K]

Answer:

#15: 1/5 (x^2 - x - 3)^5

#18: 5 (3x^2 - 6x + 1)^5


Step-by-step explanation:

#15

(2x-1)(x^2-x+3)^4

Chain Rule!!!

g'(x)f'(g(x)) = d/dx(f(g(x)) = (f ⚬ g)'(x)

f'(x) = x^4

g(x) = x^2 - x - 3

g'(x) = 2x - 1

So we only have to integrate x^4 gives 1/5 x^5

f(x) = 1/5 x^5

f(g(x)) = (f ⚬ g)(x) = 1/5 (x^2 - x - 3)^5


#18

150(x-1)(3x^2-6x+1)^4

Chain rule again!! In disguise.

f'(x) = x^4

f(x) = 1/5 x^5

g(x) = 3x^2-6x+1

g'(x) = 6x - 6 = 6(x-1)

150(x-1) = 25 g'(x)

25 g'(x)f'(g(x)) = 25 (f ⚬ g)(x) = 5(3x^2-6x+1)^5


3 0
3 years ago
If m is an integer, then 8 x 10^m is equal to 8.
kykrilka [37]

Answer:

No this is not true.

Step-by-step explanation:

An integer is a whole number and not a fraction.

An integer can be 0, 1, 3, 16, 18, 100, etc.

But an integer is either 0 - infinity.

For 8 * 10^m to equal 8, it has to be a fraction.

So, m can not be a integer. This is wrong.

Hope this helps! :)

4 0
3 years ago
Write the equation of the line that passes through the points (3, 7) and (-1, 2)
nasty-shy [4]

Answer:

y =  \frac{5}{4} x + 3 \frac{1}{4}

Step-by-step explanation:

The equation of a line is usually written in the form of y=mx+c, where m is the gradient and c is the y-intercept.

Let's find the gradient of the line, m, first.

Gradient=\frac{y1 - y2}{x1 - x2}

m =  \frac{7 - 2}{3 - ( - 1)}  \\ m =  \frac{5}{3 + 1}  \\ m = \frac{5}{4}

y =  \frac{5}{4} x + c

To find the value of c, substitute a coordinate.

when x= -1, y= 2,

2 =  \frac{5}{4} ( - 1) + c \\ c = 2 +  \frac{5}{4}  \\ c = 3 \frac{1}{4}

Thus, the equation of the line is

y =  \frac{5}{4} x + 3 \frac{1}{4}

7 0
3 years ago
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