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Alexxandr [17]
3 years ago
6

4. Simplify.

Mathematics
1 answer:
timurjin [86]3 years ago
7 0
4. You remove the brackets

Remember:
-a × -b = positive ab / +ab
a × b = positive ab / +ab
-a × b = negative ab/ -ab
a × -b = negative ab / -ab
Where ab is the product of the two numbers & - or + are the signs.

a) 5(2x+3y) -4(3x-5y)
= 10x + 15y -12x + 20y
= 10x - 12x + 15y + 20y
= -2x + 35y
= 35y - 2x [I've been told that most people prefer the positive number in front rather than the negative number]

b) x- 2(x+ 3y) -(2x+3y) -4(x+y)b
= x - 2x - 6y - 2x - 3y - 4x - 4y
= x - 2x - 2x - 4x - 6y - 3y - 4y
= -7x - 13y

c) 3(a + 2b -2) -2(2a - 5b - 1)
= 3a + 6b - 6 -4a + 10b + 2
= 3a - 4a + 6b + 10b - 6 +2
= - a + 16b - 4
= 16b - a - 4
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nexus9112 [7]
C. 3 x (20 + 15)
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3 years ago
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The scale on a map shows that 1 inch = 30 miles. If there are 4.5 inches between your present location and the place you want to
anastassius [24]

Scale : 1 inch = 30 miles

So, the ratio between the distance on the map and the real distance is 1:30

When a quantity increase/decrease in a ratio, the other one increase/decrease respectively.

Call the miles we have to go : x

1:30 = 4.5:x

(1x4.5):(30x4.5) = 4.5 : x

4.5 : 135 = 4.5 : x

So, x = 135 => We have to go 135 miles to get to the place we want to go.

6 0
2 years ago
Which number is irrational <br> 25/9
pantera1 [17]
We have a fraction of two integers, so 25/9 is rational. A rational number is any fraction of two integers (as long as the denominator is not zero).
5 0
3 years ago
Use the rational root theorem to list all possible rational roots for the equation.
Alik [6]

Answer:

The possible rational roots are

\pm 1, \pm 2,\pm3,\pm6,\pm \frac{1}{3},\pm \frac{2}{3}

Step-by-step explanation:

We have been given the equation 3x^3+9x-6=0 and we have to list all possible rational roots by rational root theorem.

The factors of constant term are 1, 2, 3,6

The factors of leading coefficient are  1,3,

From ration root theorem, the possible roots are the ratio of the factors of the constant term and the factors of the leading coefficient. We include both positive as well as negative, hence we must include plus minus.

\pm\frac{1,2,3,6}{1,3}\\\\ =\pm 1, \pm 2,\pm3,\pm6,\pm \frac{1}{3},\pm \frac{2}{3}


5 0
3 years ago
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HELP ME PLEASE
Sidana [21]

1:500,000 = 8 : 8*500,000 = 8:4,000,000\\4,000,000 cm = 40 km

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3 years ago
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